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https://alevelmathrevision.com/alevel-frontend/school-champions-alevel 2026-09-27 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/school-discount 2026-09-27 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/school-sso 2026-09-27 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-1-starter-questions-weeks-1-13 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-algebraic-expressions-and-indices-starter-question-ial-y1-w1-q1.webp Edexcel IAL Maths Year 1 starter question: Algebraic expressions & indices (week 1) Edexcel IAL Maths Year 1 starter question on Algebraic expressions & indices: Simplify (2x³)^4. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-algebraic-expressions-and-indices-starter-question-ial-y1-w1-q2.webp Edexcel IAL Maths Year 1 starter question: Algebraic expressions & indices (week 1) Edexcel IAL Maths Year 1 starter question on Algebraic expressions & indices: Factorise completely x³ - 9x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-surds-starter-question-ial-y1-w1-q3.webp Edexcel IAL Maths Year 1 starter question: Surds (week 1) Edexcel IAL Maths Year 1 starter question on Surds: Simplify √50 + √18. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-surds-starter-question-ial-y1-w2-q1.webp Edexcel IAL Maths Year 1 starter question: Surds (week 2) Edexcel IAL Maths Year 1 starter question on Surds: Rationalise the denominator of 6/(3-√3), giving your answer in the form a + b√3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-quadratic-functions-and-graphs-starter-question-ial-y1-w2-q2.webp Edexcel IAL Maths Year 1 starter question: Quadratic functions & graphs (week 2) Edexcel IAL Maths Year 1 starter question on Quadratic functions & graphs: Solve 2x² - 5x - 3 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-quadratic-functions-and-graphs-starter-question-ial-y1-w2-q3.webp Edexcel IAL Maths Year 1 starter question: Quadratic functions & graphs (week 2) Edexcel IAL Maths Year 1 starter question on Quadratic functions & graphs: Write x² + 6x - 4 in the form (x+p)² + q. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-discriminant-starter-question-ial-y1-w3-q1.webp Edexcel IAL Maths Year 1 starter question: The discriminant (week 3) Edexcel IAL Maths Year 1 starter question on The discriminant: Find the values of k for which x² + kx + 9 = 0 has equal roots. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-quadratic-functions-and-graphs-starter-question-ial-y1-w3-q2.webp Edexcel IAL Maths Year 1 starter question: Quadratic functions & graphs (week 3) Edexcel IAL Maths Year 1 starter question on Quadratic functions & graphs: Find the coordinates of the turning point of y = x² - 8x + 19. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-simultaneous-equations-starter-question-ial-y1-w3-q3.webp Edexcel IAL Maths Year 1 starter question: Simultaneous equations (week 3) Edexcel IAL Maths Year 1 starter question on Simultaneous equations: Solve the simultaneous equations 3x + 2y = 12 and 5x - y = 7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-simultaneous-equations-starter-question-ial-y1-w4-q1.webp Edexcel IAL Maths Year 1 starter question: Simultaneous equations (week 4) Edexcel IAL Maths Year 1 starter question on Simultaneous equations: Solve the simultaneous equations y = x + 1 and x² + y² = 13. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-inequalities-linear-and-quadratic-starter-question-ial-y1-w4-q2.webp Edexcel IAL Maths Year 1 starter question: Inequalities (linear & quadratic) (week 4) Edexcel IAL Maths Year 1 starter question on Inequalities (linear & quadratic): Solve 5 - 2x < 11. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-inequalities-linear-and-quadratic-starter-question-ial-y1-w4-q3.webp Edexcel IAL Maths Year 1 starter question: Inequalities (linear & quadratic) (week 4) Edexcel IAL Maths Year 1 starter question on Inequalities (linear & quadratic): Find the set of values of x for which x² - x - 12 > 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sketching-polynomial-graphs-starter-question-ial-y1-w5-q1.webp Edexcel IAL Maths Year 1 starter question: Sketching polynomial graphs (week 5) Edexcel IAL Maths Year 1 starter question on Sketching polynomial graphs: Find the points where y = x(x-2)(x+3) meets the coordinate axes. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sketching-polynomial-graphs-starter-question-ial-y1-w5-q2.webp Edexcel IAL Maths Year 1 starter question: Sketching polynomial graphs (week 5) Edexcel IAL Maths Year 1 starter question on Sketching polynomial graphs: Write down the equations of the asymptotes of y = 3/x + 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-graph-transformations-starter-question-ial-y1-w5-q3.webp Edexcel IAL Maths Year 1 starter question: Graph transformations (week 5) Edexcel IAL Maths Year 1 starter question on Graph transformations: The curve y = x² is translated by the vector 3; -1. Write down the equation of the new curve. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-graph-transformations-starter-question-ial-y1-w6-q1.webp Edexcel IAL Maths Year 1 starter question: Graph transformations (week 6) Edexcel IAL Maths Year 1 starter question on Graph transformations: The point (4, 6) lies on y = f(x). Write down its image on y = 3f(x) and on y = f(2x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-straight-lines-starter-question-ial-y1-w6-q2.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: straight lines (week 6) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: straight lines: Find the equation of the line through (2, -1) and (6, 7) in the form y = mx + c. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-straight-lines-starter-question-ial-y1-w6-q3.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: straight lines (week 6) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: straight lines: Find the gradient of a line perpendicular to 3x + 4y - 8 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-straight-lines-starter-question-ial-y1-w7-q1.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: straight lines (week 7) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: straight lines: Find the length of the line segment joining A(1, 2) and B(7, 10). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sine-and-cosine-rules-area-of-a-triangle-starter-question-ial-y1-w7-q2.webp Edexcel IAL Maths Year 1 starter question: Sine & cosine rules, area of a triangle (week 7) Edexcel IAL Maths Year 1 starter question on Sine & cosine rules, area of a triangle: In triangle ABC, AB = 7 cm, AC = 5 cm and angle BAC = 60^∘. Find the exact length of BC. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sine-and-cosine-rules-area-of-a-triangle-starter-question-ial-y1-w7-q3.webp Edexcel IAL Maths Year 1 starter question: Sine & cosine rules, area of a triangle (week 7) Edexcel IAL Maths Year 1 starter question on Sine & cosine rules, area of a triangle: Find the area of triangle PQR with PQ = 8 cm, PR = 5 cm and angle QPR = 30^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sine-and-cosine-rules-area-of-a-triangle-starter-question-ial-y1-w8-q1.webp Edexcel IAL Maths Year 1 starter question: Sine & cosine rules, area of a triangle (week 8) Edexcel IAL Maths Year 1 starter question on Sine & cosine rules, area of a triangle: In triangle ABC, a = 10 cm, angle A = 30^∘ and angle B = 45^∘. Find the exact length of b. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-ratios-and-graphs-starter-question-ial-y1-w8-q2.webp Edexcel IAL Maths Year 1 starter question: Trig ratios & graphs (week 8) Edexcel IAL Maths Year 1 starter question on Trig ratios & graphs: Write down the maximum value of y = 5 - 2sin x and the value of x, 0^∘ ≤ x < 360^∘, where it occurs. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-radian-measure-arc-and-sector-starter-question-ial-y1-w8-q3.webp Edexcel IAL Maths Year 1 starter question: Radian measure, arc & sector (week 8) Edexcel IAL Maths Year 1 starter question on Radian measure, arc & sector: Convert 135^∘ to radians, giving your answer in terms of π. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-radian-measure-arc-and-sector-starter-question-ial-y1-w9-q1.webp Edexcel IAL Maths Year 1 starter question: Radian measure, arc & sector (week 9) Edexcel IAL Maths Year 1 starter question on Radian measure, arc & sector: A sector has radius 6 cm and angle 0.8 radians. Find its arc length and its area. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-radian-measure-arc-and-sector-starter-question-ial-y1-w9-q2.webp Edexcel IAL Maths Year 1 starter question: Radian measure, arc & sector (week 9) Edexcel IAL Maths Year 1 starter question on Radian measure, arc & sector: A sector of a circle of radius 10 cm has area 40 cm². Find the angle of the sector in radians. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-differentiation-from-first-principles-starter-question-ial-y1-w9-q3.webp Edexcel IAL Maths Year 1 starter question: Differentiation from first principles (week 9) Edexcel IAL Maths Year 1 starter question on Differentiation from first principles: Find, in terms of h, the gradient of the chord joining the points on y = x² where x = 3 and x = 3 + h. What does it tend to as h → 0? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-differentiating-polynomials-starter-question-ial-y1-w10-q1.webp Edexcel IAL Maths Year 1 starter question: Differentiating polynomials (week 10) Edexcel IAL Maths Year 1 starter question on Differentiating polynomials: Differentiate y = 4x³ - 5x² + 7x - 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-differentiating-polynomials-starter-question-ial-y1-w10-q2.webp Edexcel IAL Maths Year 1 starter question: Differentiating polynomials (week 10) Edexcel IAL Maths Year 1 starter question on Differentiating polynomials: Differentiate y = (x² + 3)/(√x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-tangents-and-normals-starter-question-ial-y1-w10-q3.webp Edexcel IAL Maths Year 1 starter question: Tangents & normals (week 10) Edexcel IAL Maths Year 1 starter question on Tangents & normals: Find the equation of the tangent to y = x² - 4x + 1 at the point where x = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-tangents-and-normals-starter-question-ial-y1-w11-q1.webp Edexcel IAL Maths Year 1 starter question: Tangents & normals (week 11) Edexcel IAL Maths Year 1 starter question on Tangents & normals: Find the equation of the normal to y = x³ at the point (1, 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-integration-of-polynomials-starter-question-ial-y1-w11-q2.webp Edexcel IAL Maths Year 1 starter question: Integration of polynomials (week 11) Edexcel IAL Maths Year 1 starter question on Integration of polynomials: Find ∫ (6x² - 4x + 3) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-integration-of-polynomials-starter-question-ial-y1-w11-q3.webp Edexcel IAL Maths Year 1 starter question: Integration of polynomials (week 11) Edexcel IAL Maths Year 1 starter question on Integration of polynomials: Given that dy/dx = 3x² + 2 and the curve passes through (1, 5), find y in terms of x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-algebraic-expressions-and-indices-starter-question-ial-y1-w12-q1.webp Edexcel IAL Maths Year 1 starter question: Algebraic expressions & indices (week 12) Edexcel IAL Maths Year 1 starter question on Algebraic expressions & indices: Evaluate 27^(-2/3) without a calculator. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-inequalities-linear-and-quadratic-starter-question-ial-y1-w12-q2.webp Edexcel IAL Maths Year 1 starter question: Inequalities (linear & quadratic) (week 12) Edexcel IAL Maths Year 1 starter question on Inequalities (linear & quadratic): Solve x² < 4x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-ratios-and-graphs-starter-question-ial-y1-w12-q3.webp Edexcel IAL Maths Year 1 starter question: Trig ratios & graphs (week 12) Edexcel IAL Maths Year 1 starter question on Trig ratios & graphs: Solve sin x = 0.5 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-algebraic-division-and-the-factor-theorem-starter-question-ial-y1-w13-q1.webp Edexcel IAL Maths Year 1 starter question: Algebraic division & the factor theorem (week 13) Edexcel IAL Maths Year 1 starter question on Algebraic division & the factor theorem: Show that (x - 2) is a factor of x³ - 3x² - 4x + 12, and factorise it fully. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-remainder-theorem-starter-question-ial-y1-w13-q2.webp Edexcel IAL Maths Year 1 starter question: The remainder theorem (week 13) Edexcel IAL Maths Year 1 starter question on The remainder theorem: Find the remainder when 2x³ - x² + 5 is divided by (x + 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-mathematical-proof-starter-question-ial-y1-w13-q3.webp Edexcel IAL Maths Year 1 starter question: Mathematical proof (week 13) Edexcel IAL Maths Year 1 starter question on Mathematical proof: Prove that the sum of any three consecutive integers is a multiple of 3. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-1-starter-questions-weeks-14-26 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-mathematical-proof-starter-question-ial-y1-w14-q1.webp Edexcel IAL Maths Year 1 starter question: Mathematical proof (week 14) Edexcel IAL Maths Year 1 starter question on Mathematical proof: Find a counter-example to disprove: 'for every positive integer n, n² + n + 41 is prime'. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-circles-starter-question-ial-y1-w14-q2.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: circles (week 14) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: circles: Find the centre and radius of the circle x² + y² - 6x + 4y - 12 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-circles-starter-question-ial-y1-w14-q3.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: circles (week 14) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: circles: Find the equation of the circle with centre (2, -1) that passes through (5, 3). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-circles-starter-question-ial-y1-w15-q1.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: circles (week 15) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: circles: The point P(4, 3) lies on the circle x² + y² = 25. Find the equation of the tangent at P. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-exponentials-and-logarithms-starter-question-ial-y1-w15-q2.webp Edexcel IAL Maths Year 1 starter question: Exponentials & logarithms (week 15) Edexcel IAL Maths Year 1 starter question on Exponentials & logarithms: Write log_2 32 = 5 in index form, and find the value of log_3 81. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-exponentials-and-logarithms-starter-question-ial-y1-w15-q3.webp Edexcel IAL Maths Year 1 starter question: Exponentials & logarithms (week 15) Edexcel IAL Maths Year 1 starter question on Exponentials & logarithms: For y = 3^x - 2, write down the y-intercept and the equation of the horizontal asymptote. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-laws-of-logarithms-and-solving-equations-starter-question-ial-y1-w16-q1.webp Edexcel IAL Maths Year 1 starter question: Laws of logarithms & solving equations (week 16) Edexcel IAL Maths Year 1 starter question on Laws of logarithms & solving equations: Write 2log_a 3 + log_a 4 - log_a 6 as a single logarithm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-laws-of-logarithms-and-solving-equations-starter-question-ial-y1-w16-q2.webp Edexcel IAL Maths Year 1 starter question: Laws of logarithms & solving equations (week 16) Edexcel IAL Maths Year 1 starter question on Laws of logarithms & solving equations: Solve 5^x = 40, giving your answer to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-binomial-expansion-positive-integer-n-starter-question-ial-y1-w16-q3.webp Edexcel IAL Maths Year 1 starter question: Binomial expansion (positive integer n) (week 16) Edexcel IAL Maths Year 1 starter question on Binomial expansion (positive integer n): Find 73, and hence the coefficient of x³ in (1 + x)^7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-binomial-expansion-positive-integer-n-starter-question-ial-y1-w17-q1.webp Edexcel IAL Maths Year 1 starter question: Binomial expansion (positive integer n) (week 17) Edexcel IAL Maths Year 1 starter question on Binomial expansion (positive integer n): Find the first three terms, in ascending powers of x, of (2 + x)^5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-binomial-expansion-positive-integer-n-starter-question-ial-y1-w17-q2.webp Edexcel IAL Maths Year 1 starter question: Binomial expansion (positive integer n) (week 17) Edexcel IAL Maths Year 1 starter question on Binomial expansion (positive integer n): Find the coefficient of x² in the expansion of (1 - 3x)^6. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-arithmetic-sequences-and-series-starter-question-ial-y1-w17-q3.webp Edexcel IAL Maths Year 1 starter question: Arithmetic sequences & series (week 17) Edexcel IAL Maths Year 1 starter question on Arithmetic sequences & series: An arithmetic sequence has first term 7 and common difference 4. Find the 20th term and the sum of the first 20 terms. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-geometric-sequences-and-series-starter-question-ial-y1-w18-q1.webp Edexcel IAL Maths Year 1 starter question: Geometric sequences & series (week 18) Edexcel IAL Maths Year 1 starter question on Geometric sequences & series: A geometric sequence has first term 3 and common ratio 2. Find the 8th term and the sum of the first 8 terms. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sum-to-infinity-starter-question-ial-y1-w18-q2.webp Edexcel IAL Maths Year 1 starter question: Sum to infinity (week 18) Edexcel IAL Maths Year 1 starter question on Sum to infinity: Find the sum to infinity of the geometric series 24 + 12 + 6 + … https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sigma-notation-starter-question-ial-y1-w18-q3.webp Edexcel IAL Maths Year 1 starter question: Sigma notation (week 18) Edexcel IAL Maths Year 1 starter question on Sigma notation: Evaluate Σ_r=1¹⁰ (3r + 2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sequences-by-recurrence-increasing-decreasing-and-starter-question-ial-y1-w19-q1.webp Edexcel IAL Maths Year 1 starter question: Sequences by recurrence; increasing, decreasing & periodic sequences (week 19) Edexcel IAL Maths Year 1 starter question on Sequences by recurrence; increasing, decreasing & periodic sequences: A sequence is defined by u_1 = 2, u_n+1 = 3u_n - 1. Find u_2, u_3 and u_4. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sequences-by-recurrence-increasing-decreasing-and-starter-question-ial-y1-w19-q2.webp Edexcel IAL Maths Year 1 starter question: Sequences by recurrence; increasing, decreasing & periodic sequences (week 19) Edexcel IAL Maths Year 1 starter question on Sequences by recurrence; increasing, decreasing & periodic sequences: The sequence u_n+1 = 1/u_n, u_1 = 4, is periodic. State its order and find u_20. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w19-q3.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 19) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Find the exact values of sin 240^∘ and cos 315^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w20-q1.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 20) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Given sinθ = 3/5 and that θ is obtuse, find the exact values of cosθ and tanθ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w20-q2.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 20) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Solve tan x = √3 for 0^∘ ≤ x < 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w20-q3.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 20) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Solve 2cos² x - cos x - 1 = 0 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-increasing-decreasing-functions-and-stationary-starter-question-ial-y1-w21-q1.webp Edexcel IAL Maths Year 1 starter question: Increasing/decreasing functions & stationary points (week 21) Edexcel IAL Maths Year 1 starter question on Increasing/decreasing functions & stationary points: Find the coordinates of the stationary points of y = x³ - 3x² - 9x + 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-increasing-decreasing-functions-and-stationary-starter-question-ial-y1-w21-q2.webp Edexcel IAL Maths Year 1 starter question: Increasing/decreasing functions & stationary points (week 21) Edexcel IAL Maths Year 1 starter question on Increasing/decreasing functions & stationary points: Find the set of values of x for which f(x) = x² - 6x + 1 is increasing. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-further-differentiation-starter-question-ial-y1-w21-q3.webp Edexcel IAL Maths Year 1 starter question: Further differentiation (week 21) Edexcel IAL Maths Year 1 starter question on Further differentiation: Find the stationary point of y = x² + 16/x, x > 0, and use the second derivative to determine its nature. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-definite-integrals-and-area-starter-question-ial-y1-w22-q1.webp Edexcel IAL Maths Year 1 starter question: Definite integrals & area (week 22) Edexcel IAL Maths Year 1 starter question on Definite integrals & area: Evaluate ∫_1³ (3x² - 2x) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-definite-integrals-and-area-starter-question-ial-y1-w22-q2.webp Edexcel IAL Maths Year 1 starter question: Definite integrals & area (week 22) Edexcel IAL Maths Year 1 starter question on Definite integrals & area: Find the area of the region bounded by y = 4 - x² and the x-axis. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-further-integration-and-the-trapezium-rule-starter-question-ial-y1-w22-q3.webp Edexcel IAL Maths Year 1 starter question: Further integration & the trapezium rule (week 22) Edexcel IAL Maths Year 1 starter question on Further integration & the trapezium rule: Use the trapezium rule with 4 strips to estimate ∫_0² √(1 + x²) dx, giving your answer to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-laws-of-logarithms-and-solving-equations-starter-question-ial-y1-w23-q1.webp Edexcel IAL Maths Year 1 starter question: Laws of logarithms & solving equations (week 23) Edexcel IAL Maths Year 1 starter question on Laws of logarithms & solving equations: Solve log_3(x + 2) + log_3 x = 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-geometric-sequences-and-series-starter-question-ial-y1-w23-q2.webp Edexcel IAL Maths Year 1 starter question: Geometric sequences & series (week 23) Edexcel IAL Maths Year 1 starter question on Geometric sequences & series: A geometric series has first term 5 and common ratio 0.8. Find the smallest n for which S_n > 20. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w23-q3.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 23) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Solve sin 2x = 0.5 for 0^∘ ≤ x ≤ 180^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-data-representation-and-summary-statistics-starter-question-ial-y1-w24-q1.webp Edexcel IAL Maths Year 1 starter question: Data representation & summary statistics (week 24) Edexcel IAL Maths Year 1 starter question on Data representation & summary statistics: Classify each variable as qualitative, discrete or continuous: eye colour; number of siblings; time taken to run 100 m. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-measures-of-location-and-spread-starter-question-ial-y1-w24-q2.webp Edexcel IAL Maths Year 1 starter question: Measures of location & spread (week 24) Edexcel IAL Maths Year 1 starter question on Measures of location & spread: Find the mean and the median of 4, 7, 7, 9, 12, 15. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-measures-of-location-and-spread-starter-question-ial-y1-w24-q3.webp Edexcel IAL Maths Year 1 starter question: Measures of location & spread (week 24) Edexcel IAL Maths Year 1 starter question on Measures of location & spread: For a data set, n = 10, Σ x = 50 and Σ x² = 290. Find the mean and the standard deviation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coding-starter-question-ial-y1-w25-q1.webp Edexcel IAL Maths Year 1 starter question: Coding (week 25) Edexcel IAL Maths Year 1 starter question on Coding: Data are coded using y = (x - 100)/5. The coded data have mean 3 and standard deviation 1.2. Find the mean and standard deviation of x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-data-representation-and-summary-statistics-starter-question-ial-y1-w25-q2.webp Edexcel IAL Maths Year 1 starter question: Data representation & summary statistics (week 25) Edexcel IAL Maths Year 1 starter question on Data representation & summary statistics: A data set has Q_1 = 20 and Q_3 = 32. An outlier is more than 1.5 × IQR beyond the quartiles. Find the outlier limits. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-data-representation-and-summary-statistics-starter-question-ial-y1-w25-q3.webp Edexcel IAL Maths Year 1 starter question: Data representation & summary statistics (week 25) Edexcel IAL Maths Year 1 starter question on Data representation & summary statistics: On a histogram the class 10–15 has frequency 30. Find its frequency density. The class 15–25 has frequency density 4: find its frequency. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-measures-of-location-and-spread-starter-question-ial-y1-w26-q1.webp Edexcel IAL Maths Year 1 starter question: Measures of location & spread (week 26) Edexcel IAL Maths Year 1 starter question on Measures of location & spread: A data set has Q_1 = 12, Q_2 = 15 and Q_3 = 22. Use the quartiles to describe the skewness. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-probability-and-venn-diagrams-starter-question-ial-y1-w26-q2.webp Edexcel IAL Maths Year 1 starter question: Probability & Venn diagrams (week 26) Edexcel IAL Maths Year 1 starter question on Probability & Venn diagrams: P(A) = 0.5, P(B) = 0.4 and P(A ∪ B) = 0.7. Find P(A ∩ B) and decide whether A and B are independent. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-probability-and-venn-diagrams-starter-question-ial-y1-w26-q3.webp Edexcel IAL Maths Year 1 starter question: Probability & Venn diagrams (week 26) Edexcel IAL Maths Year 1 starter question on Probability & Venn diagrams: Events A and B are mutually exclusive, P(A) = 0.35 and P(B) = 0.4. Find P(A ∪ B) and P(A' ∩ B'). https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-1-starter-questions-weeks-27-40 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-conditional-probability-starter-question-ial-y1-w27-q1.webp Edexcel IAL Maths Year 1 starter question: Conditional probability (week 27) Edexcel IAL Maths Year 1 starter question on Conditional probability: P(A) = 0.6, P(B) = 0.5 and P(A ∩ B) = 0.2. Find P(A | B) and P(B | A). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-conditional-probability-starter-question-ial-y1-w27-q2.webp Edexcel IAL Maths Year 1 starter question: Conditional probability (week 27) Edexcel IAL Maths Year 1 starter question on Conditional probability: A bag has 5 red and 3 blue counters. Two are taken without replacement. Find the probability that the second is blue given that the first is red. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-correlation-and-regression-starter-question-ial-y1-w27-q3.webp Edexcel IAL Maths Year 1 starter question: Correlation & regression (week 27) Edexcel IAL Maths Year 1 starter question on Correlation & regression: A scatter diagram of hours revised against test score shows points close to a straight line sloping upwards. Describe the correlation and interpret it in context. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-correlation-and-regression-starter-question-ial-y1-w28-q1.webp Edexcel IAL Maths Year 1 starter question: Correlation & regression (week 28) Edexcel IAL Maths Year 1 starter question on Correlation & regression: Given S_xy = 48, S_xx = 64 and S_yy = 49, find the product moment correlation coefficient. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-correlation-and-regression-starter-question-ial-y1-w28-q2.webp Edexcel IAL Maths Year 1 starter question: Correlation & regression (week 28) Edexcel IAL Maths Year 1 starter question on Correlation & regression: Given S_xy = 30, S_xx = 12, x = 4 and y = 15, find the regression line of y on x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-discrete-random-variables-starter-question-ial-y1-w28-q3.webp Edexcel IAL Maths Year 1 starter question: Discrete random variables (week 28) Edexcel IAL Maths Year 1 starter question on Discrete random variables: A discrete random variable has P(X = x) = kx for x = 1, 2, 3, 4. Find k and P(X ≥ 3). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-discrete-random-variables-starter-question-ial-y1-w29-q1.webp Edexcel IAL Maths Year 1 starter question: Discrete random variables (week 29) Edexcel IAL Maths Year 1 starter question on Discrete random variables: X takes the values 0, 1, 2 with probabilities 0.2, 0.5, 0.3. Find E(X) and Var(X). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-discrete-random-variables-starter-question-ial-y1-w29-q2.webp Edexcel IAL Maths Year 1 starter question: Discrete random variables (week 29) Edexcel IAL Maths Year 1 starter question on Discrete random variables: E(X) = 4 and Var(X) = 3. Find E(2X - 5) and Var(2X - 5). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-discrete-random-variables-starter-question-ial-y1-w29-q3.webp Edexcel IAL Maths Year 1 starter question: Discrete random variables (week 29) Edexcel IAL Maths Year 1 starter question on Discrete random variables: X has a discrete uniform distribution over 1, 2, …, 8. Find P(X > 5) and E(X). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-normal-distribution-starter-question-ial-y1-w30-q1.webp Edexcel IAL Maths Year 1 starter question: The normal distribution (week 30) Edexcel IAL Maths Year 1 starter question on The normal distribution: X N(50, 4²). Find P(X < 56). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-standardising-and-z-values-starter-question-ial-y1-w30-q2.webp Edexcel IAL Maths Year 1 starter question: Standardising & z-values (week 30) Edexcel IAL Maths Year 1 starter question on Standardising & z-values: X N(20, 5²). Find P(15 < X < 30). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-standardising-and-z-values-starter-question-ial-y1-w30-q3.webp Edexcel IAL Maths Year 1 starter question: Standardising & z-values (week 30) Edexcel IAL Maths Year 1 starter question on Standardising & z-values: X N(μ, 10²) and P(X > 80) = 0.0228. Find μ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coding-starter-question-ial-y1-w31-q1.webp Edexcel IAL Maths Year 1 starter question: Coding (week 31) Edexcel IAL Maths Year 1 starter question on Coding: Data are coded with y = 2x + 3. Given x = 7 and σ_x = 1.5, find y and σ_y. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-probability-and-venn-diagrams-starter-question-ial-y1-w31-q2.webp Edexcel IAL Maths Year 1 starter question: Probability & Venn diagrams (week 31) Edexcel IAL Maths Year 1 starter question on Probability & Venn diagrams: In a year group 60% study French, and 30% of those also study Spanish. Of the students not studying French, 50% study Spanish. Find the probability that a randomly chosen… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-normal-distribution-starter-question-ial-y1-w31-q3.webp Edexcel IAL Maths Year 1 starter question: The normal distribution (week 31) Edexcel IAL Maths Year 1 starter question on The normal distribution: Plant heights are N(30, 4²) cm. Find the proportion of plants taller than 25 cm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-algebraic-division-and-the-factor-theorem-starter-question-ial-y1-w32-q1.webp Edexcel IAL Maths Year 1 starter question: Algebraic division & the factor theorem (week 32) Edexcel IAL Maths Year 1 starter question on Algebraic division & the factor theorem: Divide x³ + 2x² - 5x - 6 by (x + 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-circles-starter-question-ial-y1-w32-q2.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: circles (week 32) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: circles: Find the points where the line y = 2x meets the circle (x - 1)² + (y - 2)² = 5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-normal-distribution-starter-question-ial-y1-w32-q3.webp Edexcel IAL Maths Year 1 starter question: The normal distribution (week 32) Edexcel IAL Maths Year 1 starter question on The normal distribution: X N(100, 15²). Find P(X > 130). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-increasing-decreasing-functions-and-stationary-starter-question-ial-y1-w33-q1.webp Edexcel IAL Maths Year 1 starter question: Increasing/decreasing functions & stationary points (week 33) Edexcel IAL Maths Year 1 starter question on Increasing/decreasing functions & stationary points: Find the maximum value of y = 12x - x³ for x > 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-graph-transformations-starter-question-ial-y1-w33-q2.webp Edexcel IAL Maths Year 1 starter question: Graph transformations (week 33) Edexcel IAL Maths Year 1 starter question on Graph transformations: Describe the transformation that maps y = f(x) onto y = f(x - 2) + 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-composite-and-inverse-functions-starter-question-ial-y1-w33-q3.webp Edexcel IAL Maths Year 1 starter question: Composite & inverse functions (week 33) Edexcel IAL Maths Year 1 starter question on Composite & inverse functions: Given f(x) = 2x + 1 and g(x) = x², find fg(3) and gf(3). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-surds-starter-question-ial-y1-w34-q1.webp Edexcel IAL Maths Year 1 starter question: Surds (week 34) Edexcel IAL Maths Year 1 starter question on Surds: Expand and simplify (3 + √2)(3 - √2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-arithmetic-sequences-and-series-starter-question-ial-y1-w34-q2.webp Edexcel IAL Maths Year 1 starter question: Arithmetic sequences & series (week 34) Edexcel IAL Maths Year 1 starter question on Arithmetic sequences & series: The 3rd term of an arithmetic sequence is 11 and the 8th term is 31. Find the first term and the common difference. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-probability-and-venn-diagrams-starter-question-ial-y1-w34-q3.webp Edexcel IAL Maths Year 1 starter question: Probability & Venn diagrams (week 34) Edexcel IAL Maths Year 1 starter question on Probability & Venn diagrams: A and B are independent, P(A) = 0.3 and P(B) = 0.5. Find P(A ∪ B). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-differentiating-polynomials-starter-question-ial-y1-w35-q1.webp Edexcel IAL Maths Year 1 starter question: Differentiating polynomials (week 35) Edexcel IAL Maths Year 1 starter question on Differentiating polynomials: Find dy/dx when y = 2/(x²), and its value when x = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-laws-of-logarithms-and-solving-equations-starter-question-ial-y1-w35-q2.webp Edexcel IAL Maths Year 1 starter question: Laws of logarithms & solving equations (week 35) Edexcel IAL Maths Year 1 starter question on Laws of logarithms & solving equations: Solve 2^(x+1) = 3^x, giving x to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-measures-of-location-and-spread-starter-question-ial-y1-w35-q3.webp Edexcel IAL Maths Year 1 starter question: Measures of location & spread (week 35) Edexcel IAL Maths Year 1 starter question on Measures of location & spread: Find the interquartile range of 3, 5, 6, 8, 9, 11, 14. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-discriminant-starter-question-ial-y1-w36-q1.webp Edexcel IAL Maths Year 1 starter question: The discriminant (week 36) Edexcel IAL Maths Year 1 starter question on The discriminant: Find the set of values of k for which x² + 4x + k = 0 has no real roots. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-radian-measure-arc-and-sector-starter-question-ial-y1-w36-q2.webp Edexcel IAL Maths Year 1 starter question: Radian measure, arc & sector (week 36) Edexcel IAL Maths Year 1 starter question on Radian measure, arc & sector: A chord subtends an angle of (π)/3 radians at the centre of a circle of radius 6 cm. Find the exact area of the minor segment. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-correlation-and-regression-starter-question-ial-y1-w36-q3.webp Edexcel IAL Maths Year 1 starter question: Correlation & regression (week 36) Edexcel IAL Maths Year 1 starter question on Correlation & regression: The regression line of y on x is y = 12 + 0.8x, from data with 10 ≤ x ≤ 50. Estimate y when x = 30, and say why an estimate at x = 90 would be unreliable. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-coordinate-geometry-straight-lines-starter-question-ial-y1-w37-q1.webp Edexcel IAL Maths Year 1 starter question: Coordinate geometry: straight lines (week 37) Edexcel IAL Maths Year 1 starter question on Coordinate geometry: straight lines: Find the equation of the perpendicular bisector of A(2, 1) and B(6, 9). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-sum-to-infinity-starter-question-ial-y1-w37-q2.webp Edexcel IAL Maths Year 1 starter question: Sum to infinity (week 37) Edexcel IAL Maths Year 1 starter question on Sum to infinity: A geometric series has first term 10 and sum to infinity 25. Find the common ratio. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-standardising-and-z-values-starter-question-ial-y1-w37-q3.webp Edexcel IAL Maths Year 1 starter question: Standardising & z-values (week 37) Edexcel IAL Maths Year 1 starter question on Standardising & z-values: IQ scores are modelled as N(100, 15²). Find the score exceeded by 10% of people, to 1 decimal place. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-further-differentiation-starter-question-ial-y1-w38-q1.webp Edexcel IAL Maths Year 1 starter question: Further differentiation (week 38) Edexcel IAL Maths Year 1 starter question on Further differentiation: An open box has a square base of side x cm and surface area A = x² + 128/x. Find the value of x that minimises A. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-integration-of-polynomials-starter-question-ial-y1-w38-q2.webp Edexcel IAL Maths Year 1 starter question: Integration of polynomials (week 38) Edexcel IAL Maths Year 1 starter question on Integration of polynomials: Find ∫ (x³ + 4)/(x²) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-discrete-random-variables-starter-question-ial-y1-w38-q3.webp Edexcel IAL Maths Year 1 starter question: Discrete random variables (week 38) Edexcel IAL Maths Year 1 starter question on Discrete random variables: X takes the values 1, 2, 3, 4 with probabilities 0.3, p, 0.2, q, and E(X) = 2.5. Find p and q. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-binomial-expansion-positive-integer-n-starter-question-ial-y1-w39-q1.webp Edexcel IAL Maths Year 1 starter question: Binomial expansion (positive integer n) (week 39) Edexcel IAL Maths Year 1 starter question on Binomial expansion (positive integer n): Use the first three terms of the expansion of (1 + 2x)⁸ to estimate 1.02⁸, to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-trig-identities-and-equations-starter-question-ial-y1-w39-q2.webp Edexcel IAL Maths Year 1 starter question: Trig identities & equations (week 39) Edexcel IAL Maths Year 1 starter question on Trig identities & equations: Prove that (sin²θ)/(1 - cosθ) ≡ 1 + cosθ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-conditional-probability-starter-question-ial-y1-w39-q3.webp Edexcel IAL Maths Year 1 starter question: Conditional probability (week 39) Edexcel IAL Maths Year 1 starter question on Conditional probability: P(A) = 0.4, P(B | A) = 0.25 and P(B | A') = 0.5. Find P(B) and P(A | B). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-tangents-and-normals-starter-question-ial-y1-w40-q1.webp Edexcel IAL Maths Year 1 starter question: Tangents & normals (week 40) Edexcel IAL Maths Year 1 starter question on Tangents & normals: The curve y = x² - 5x + 6 has a tangent parallel to the line y = 3x. Find the point of contact. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-definite-integrals-and-area-starter-question-ial-y1-w40-q2.webp Edexcel IAL Maths Year 1 starter question: Definite integrals & area (week 40) Edexcel IAL Maths Year 1 starter question on Definite integrals & area: Find the area enclosed between the curve y = x² and the line y = 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-1-the-normal-distribution-starter-question-ial-y1-w40-q3.webp Edexcel IAL Maths Year 1 starter question: The normal distribution (week 40) Edexcel IAL Maths Year 1 starter question on The normal distribution: X N(μ, σ²) with P(X < 35) = 0.8413 and P(X < 25) = 0.1587. Find μ and σ. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-2-starter-questions-weeks-1-13 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-simplifying-rational-expressions-starter-question-ial-y2-w1-q1.webp Edexcel IAL Maths Year 2 starter question: Simplifying rational expressions (week 1) Edexcel IAL Maths Year 2 starter question on Simplifying rational expressions: Simplify (x² - 9)/(x² + 5x + 6). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-simplifying-rational-expressions-starter-question-ial-y2-w1-q2.webp Edexcel IAL Maths Year 2 starter question: Simplifying rational expressions (week 1) Edexcel IAL Maths Year 2 starter question on Simplifying rational expressions: Divide x³ + 2x² - x + 3 by (x + 2), giving the quotient and the remainder. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-composite-and-inverse-functions-starter-question-ial-y2-w1-q3.webp Edexcel IAL Maths Year 2 starter question: Composite & inverse functions (week 1) Edexcel IAL Maths Year 2 starter question on Composite & inverse functions: Given f(x) = 3x - 1 and g(x) = x² + 2, find fg(x) and solve fg(x) = 14. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-composite-and-inverse-functions-starter-question-ial-y2-w2-q1.webp Edexcel IAL Maths Year 2 starter question: Composite & inverse functions (week 2) Edexcel IAL Maths Year 2 starter question on Composite & inverse functions: Find f⁻¹(x) for f(x) = (2x + 3)/(x - 1), x ≠ 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-modulus-function-starter-question-ial-y2-w2-q2.webp Edexcel IAL Maths Year 2 starter question: The modulus function (week 2) Edexcel IAL Maths Year 2 starter question on The modulus function: Solve |2x - 3| = 5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-modulus-function-starter-question-ial-y2-w2-q3.webp Edexcel IAL Maths Year 2 starter question: The modulus function (week 2) Edexcel IAL Maths Year 2 starter question on The modulus function: Solve |x - 2| < 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-reciprocal-and-inverse-trig-functions-starter-question-ial-y2-w3-q1.webp Edexcel IAL Maths Year 2 starter question: Reciprocal & inverse trig functions (week 3) Edexcel IAL Maths Year 2 starter question on Reciprocal & inverse trig functions: Find the exact value of sec(π)/3 + cosec(π)/6. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-reciprocal-and-inverse-trig-functions-starter-question-ial-y2-w3-q2.webp Edexcel IAL Maths Year 2 starter question: Reciprocal & inverse trig functions (week 3) Edexcel IAL Maths Year 2 starter question on Reciprocal & inverse trig functions: Given tanθ = 3/4 and θ acute, find the exact values of secθ and cotθ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-reciprocal-and-inverse-trig-functions-starter-question-ial-y2-w3-q3.webp Edexcel IAL Maths Year 2 starter question: Reciprocal & inverse trig functions (week 3) Edexcel IAL Maths Year 2 starter question on Reciprocal & inverse trig functions: Find the exact value of arcsin(1/2) + arccos(-1/2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w4-q1.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 4) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Use an addition formula to find the exact value of cos 75^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w4-q2.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 4) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Given sin A = 3/5 with A acute, find the exact values of sin 2A and cos 2A. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w4-q3.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 4) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Solve sin 2x = sin x for 0 ≤ x ≤ 2π. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-r-sin-x-form-starter-question-ial-y2-w5-q1.webp Edexcel IAL Maths Year 2 starter question: The R sin(x±α) form (week 5) Edexcel IAL Maths Year 2 starter question on The R sin(x±α) form: Express 3sin x + 4cos x in the form Rsin(x + α), R > 0, 0 < α < (π)/2, giving α to 3 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-r-sin-x-form-starter-question-ial-y2-w5-q2.webp Edexcel IAL Maths Year 2 starter question: The R sin(x±α) form (week 5) Edexcel IAL Maths Year 2 starter question on The R sin(x±α) form: Write down the maximum value of 5cos(x - 0.6) + 2 and the value of x in [0, 2π) at which it occurs. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w5-q3.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 5) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Prove that (sin 2x)/(1 + cos 2x) ≡ tan x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-exponential-and-logarithmic-modelling-starter-question-ial-y2-w6-q1.webp Edexcel IAL Maths Year 2 starter question: Exponential & logarithmic modelling (week 6) Edexcel IAL Maths Year 2 starter question on Exponential & logarithmic modelling: Solve e^(2x) = 7, giving your answer exactly. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-exponential-and-logarithmic-modelling-starter-question-ial-y2-w6-q2.webp Edexcel IAL Maths Year 2 starter question: Exponential & logarithmic modelling (week 6) Edexcel IAL Maths Year 2 starter question on Exponential & logarithmic modelling: Solve ln(x + 1) = 2, giving your answer exactly. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-logarithmic-graphs-y-axn-and-y-kbx-starter-question-ial-y2-w6-q3.webp Edexcel IAL Maths Year 2 starter question: Logarithmic graphs: y = axⁿ and y = kbˣ (week 6) Edexcel IAL Maths Year 2 starter question on Logarithmic graphs: y = axⁿ and y = kbˣ: A graph of log_10 y against log_10 x is a straight line with gradient 3 and intercept 0.5. Express y in terms of x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-exponential-and-logarithmic-modelling-starter-question-ial-y2-w7-q1.webp Edexcel IAL Maths Year 2 starter question: Exponential & logarithmic modelling (week 7) Edexcel IAL Maths Year 2 starter question on Exponential & logarithmic modelling: A population is modelled by P = 200e^(0.05t), t in years. Find the time for the population to double, to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differentiating-e-x-ln-x-and-trig-starter-question-ial-y2-w7-q2.webp Edexcel IAL Maths Year 2 starter question: Differentiating e^x, ln x & trig (week 7) Edexcel IAL Maths Year 2 starter question on Differentiating e^x, ln x & trig: Differentiate y = 3e^(2x) + ln x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-chain-product-and-quotient-rules-starter-question-ial-y2-w7-q3.webp Edexcel IAL Maths Year 2 starter question: Chain, product & quotient rules (week 7) Edexcel IAL Maths Year 2 starter question on Chain, product & quotient rules: Differentiate y = (3x² - 1)^5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-chain-product-and-quotient-rules-starter-question-ial-y2-w8-q1.webp Edexcel IAL Maths Year 2 starter question: Chain, product & quotient rules (week 8) Edexcel IAL Maths Year 2 starter question on Chain, product & quotient rules: Differentiate y = x² e^(3x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-chain-product-and-quotient-rules-starter-question-ial-y2-w8-q2.webp Edexcel IAL Maths Year 2 starter question: Chain, product & quotient rules (week 8) Edexcel IAL Maths Year 2 starter question on Chain, product & quotient rules: Differentiate y = (sin x)/x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differentiating-e-x-ln-x-and-trig-starter-question-ial-y2-w8-q3.webp Edexcel IAL Maths Year 2 starter question: Differentiating e^x, ln x & trig (week 8) Edexcel IAL Maths Year 2 starter question on Differentiating e^x, ln x & trig: Find dy/dx for y = tan 3x, and its value when x = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w9-q1.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 9) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Find ∫ (e^(2x) + 3/x)dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w9-q2.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 9) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Find ∫ cos(3x - 1) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w9-q3.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 9) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Evaluate ∫_0^(π/2) sin 2x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w10-q1.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 10) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Find ∫ tan² x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-numerical-methods-root-location-and-iteration-starter-question-ial-y2-w10-q2.webp Edexcel IAL Maths Year 2 starter question: Numerical methods (root location & iteration) (week 10) Edexcel IAL Maths Year 2 starter question on Numerical methods (root location & iteration): Show that f(x) = x³ - 2x - 5 has a root between x = 2 and x = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-numerical-methods-root-location-and-iteration-starter-question-ial-y2-w10-q3.webp Edexcel IAL Maths Year 2 starter question: Numerical methods (root location & iteration) (week 10) Edexcel IAL Maths Year 2 starter question on Numerical methods (root location & iteration): Use x_n+1 = 3√(2x_n + 5) with x_0 = 2 to find x_1 and x_2, to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-modulus-function-starter-question-ial-y2-w11-q1.webp Edexcel IAL Maths Year 2 starter question: The modulus function (week 11) Edexcel IAL Maths Year 2 starter question on The modulus function: Solve |x + 1| = 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w11-q2.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 11) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Solve 3cos 2x + 5cos x + 1 = 0 for 0^∘ ≤ x ≤ 360^∘, to 1 decimal place. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differentiating-e-x-ln-x-and-trig-starter-question-ial-y2-w11-q3.webp Edexcel IAL Maths Year 2 starter question: Differentiating e^x, ln x & trig (week 11) Edexcel IAL Maths Year 2 starter question on Differentiating e^x, ln x & trig: Find the equation of the tangent to y = e^x + x at the point where x = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-proof-by-contradiction-starter-question-ial-y2-w12-q1.webp Edexcel IAL Maths Year 2 starter question: Proof by contradiction (week 12) Edexcel IAL Maths Year 2 starter question on Proof by contradiction: To prove by contradiction that √2 is irrational, what do you assume, and what contradiction do you reach? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-proof-by-contradiction-starter-question-ial-y2-w12-q2.webp Edexcel IAL Maths Year 2 starter question: Proof by contradiction (week 12) Edexcel IAL Maths Year 2 starter question on Proof by contradiction: Prove by contradiction that there is no greatest even integer. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-partial-fractions-starter-question-ial-y2-w12-q3.webp Edexcel IAL Maths Year 2 starter question: Partial fractions (week 12) Edexcel IAL Maths Year 2 starter question on Partial fractions: Express (5x + 1)/((x - 1)(x + 2)) in partial fractions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-partial-fractions-starter-question-ial-y2-w13-q1.webp Edexcel IAL Maths Year 2 starter question: Partial fractions (week 13) Edexcel IAL Maths Year 2 starter question on Partial fractions: Express (3x + 1)/((x + 1)²) in partial fractions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-equations-starter-question-ial-y2-w13-q2.webp Edexcel IAL Maths Year 2 starter question: Parametric equations (week 13) Edexcel IAL Maths Year 2 starter question on Parametric equations: A curve has parametric equations x = t + 2, y = t² - 1. Find a Cartesian equation of the curve. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-equations-starter-question-ial-y2-w13-q3.webp Edexcel IAL Maths Year 2 starter question: Parametric equations (week 13) Edexcel IAL Maths Year 2 starter question on Parametric equations: Find a Cartesian equation for the curve x = 3cos t, y = 3sin t, and describe it. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-2-starter-questions-weeks-14-26 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-binomial-expansion-general-index-starter-question-ial-y2-w14-q1.webp Edexcel IAL Maths Year 2 starter question: Binomial expansion (general index) (week 14) Edexcel IAL Maths Year 2 starter question on Binomial expansion (general index): Expand (1 + x)⁻² up to and including the term in x³, and state the values of x for which it is valid. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-binomial-expansion-general-index-starter-question-ial-y2-w14-q2.webp Edexcel IAL Maths Year 2 starter question: Binomial expansion (general index) (week 14) Edexcel IAL Maths Year 2 starter question on Binomial expansion (general index): Find the first three terms, in ascending powers of x, of the expansion of √(4 + x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-differentiation-starter-question-ial-y2-w14-q3.webp Edexcel IAL Maths Year 2 starter question: Parametric differentiation (week 14) Edexcel IAL Maths Year 2 starter question on Parametric differentiation: A curve has x = t², y = t^3. Find dy/dx in terms of t, and its value when t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-implicit-differentiation-starter-question-ial-y2-w15-q1.webp Edexcel IAL Maths Year 2 starter question: Implicit differentiation (week 15) Edexcel IAL Maths Year 2 starter question on Implicit differentiation: Find dy/dx in terms of x and y for the curve x² + y² = 25. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-implicit-differentiation-starter-question-ial-y2-w15-q2.webp Edexcel IAL Maths Year 2 starter question: Implicit differentiation (week 15) Edexcel IAL Maths Year 2 starter question on Implicit differentiation: Find the gradient of the curve x² + xy + y² = 7 at the point (1, 2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-connected-rates-of-change-starter-question-ial-y2-w15-q3.webp Edexcel IAL Maths Year 2 starter question: Connected rates of change (week 15) Edexcel IAL Maths Year 2 starter question on Connected rates of change: The radius of a circle increases at 0.5 cm s⁻¹. Find the rate of increase of its area when the radius is 4 cm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-substitution-starter-question-ial-y2-w16-q1.webp Edexcel IAL Maths Year 2 starter question: Integration by substitution (week 16) Edexcel IAL Maths Year 2 starter question on Integration by substitution: Use the substitution u = x² + 1 to find ∫ 2x(x² + 1)⁴ dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-parts-starter-question-ial-y2-w16-q2.webp Edexcel IAL Maths Year 2 starter question: Integration by parts (week 16) Edexcel IAL Maths Year 2 starter question on Integration by parts: Find ∫ x e^x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-parts-starter-question-ial-y2-w16-q3.webp Edexcel IAL Maths Year 2 starter question: Integration by parts (week 16) Edexcel IAL Maths Year 2 starter question on Integration by parts: Find ∫ xcos x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-further-integration-partial-fractions-starter-question-ial-y2-w17-q1.webp Edexcel IAL Maths Year 2 starter question: Further integration (partial fractions) (week 17) Edexcel IAL Maths Year 2 starter question on Further integration (partial fractions): Find ∫ 2/((x - 1)(x + 1)) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-volumes-of-revolution-starter-question-ial-y2-w17-q2.webp Edexcel IAL Maths Year 2 starter question: Volumes of revolution (week 17) Edexcel IAL Maths Year 2 starter question on Volumes of revolution: The region under y = x from x = 0 to x = 3 is rotated through 2π about the x-axis. Find the exact volume. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-substitution-starter-question-ial-y2-w17-q3.webp Edexcel IAL Maths Year 2 starter question: Integration by substitution (week 17) Edexcel IAL Maths Year 2 starter question on Integration by substitution: Evaluate ∫_0¹ x/(√(1 + x²)) dx exactly. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-volumes-of-revolution-starter-question-ial-y2-w18-q1.webp Edexcel IAL Maths Year 2 starter question: Volumes of revolution (week 18) Edexcel IAL Maths Year 2 starter question on Volumes of revolution: The region between y = √x, the x-axis and the line x = 4 is rotated through 2π about the x-axis. Find the exact volume. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differential-equations-starter-question-ial-y2-w18-q2.webp Edexcel IAL Maths Year 2 starter question: Differential equations (week 18) Edexcel IAL Maths Year 2 starter question on Differential equations: Solve dy/dx = 2xy, given that y = 3 when x = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differential-equations-starter-question-ial-y2-w18-q3.webp Edexcel IAL Maths Year 2 starter question: Differential equations (week 18) Edexcel IAL Maths Year 2 starter question on Differential equations: A liquid cools at a rate proportional to θ, its temperature above the room. Write a differential equation for θ in terms of time t. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vectors-in-2d-and-3d-starter-question-ial-y2-w19-q1.webp Edexcel IAL Maths Year 2 starter question: Vectors in 2D & 3D (week 19) Edexcel IAL Maths Year 2 starter question on Vectors in 2D & 3D: Find the magnitude of a = 2i - j + 2k and a unit vector in the direction of a. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vectors-in-2d-and-3d-starter-question-ial-y2-w19-q2.webp Edexcel IAL Maths Year 2 starter question: Vectors in 2D & 3D (week 19) Edexcel IAL Maths Year 2 starter question on Vectors in 2D & 3D: A is (1, 2, 3) and B is (4, -2, 3). Find AB and |AB|. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vector-equations-of-lines-starter-question-ial-y2-w19-q3.webp Edexcel IAL Maths Year 2 starter question: Vector equations of lines (week 19) Edexcel IAL Maths Year 2 starter question on Vector equations of lines: Write down a vector equation of the line through A(1, 0, 2) and B(3, 1, 5). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-scalar-dot-product-starter-question-ial-y2-w20-q1.webp Edexcel IAL Maths Year 2 starter question: The scalar (dot) product (week 20) Edexcel IAL Maths Year 2 starter question on The scalar (dot) product: Find a for a = 3i + 2j - k and b = i - 4j + 2k. Are they perpendicular? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-scalar-dot-product-starter-question-ial-y2-w20-q2.webp Edexcel IAL Maths Year 2 starter question: The scalar (dot) product (week 20) Edexcel IAL Maths Year 2 starter question on The scalar (dot) product: Find the angle between a = i + j and b = j + k. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vector-equations-of-lines-starter-question-ial-y2-w20-q3.webp Edexcel IAL Maths Year 2 starter question: Vector equations of lines (week 20) Edexcel IAL Maths Year 2 starter question on Vector equations of lines: Does the point (5, 3, 7) lie on the line r = (i + j + k) + λ(2i + j + 3k)? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-binomial-expansion-general-index-starter-question-ial-y2-w21-q1.webp Edexcel IAL Maths Year 2 starter question: Binomial expansion (general index) (week 21) Edexcel IAL Maths Year 2 starter question on Binomial expansion (general index): Find the coefficient of x² in the expansion of (1 - 2x)⁻³. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-parts-starter-question-ial-y2-w21-q2.webp Edexcel IAL Maths Year 2 starter question: Integration by parts (week 21) Edexcel IAL Maths Year 2 starter question on Integration by parts: Evaluate ∫_1^e ln x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-equations-starter-question-ial-y2-w21-q3.webp Edexcel IAL Maths Year 2 starter question: Parametric equations (week 21) Edexcel IAL Maths Year 2 starter question on Parametric equations: Find a Cartesian equation of the curve x = 2t, y = 4/t. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-modelling-in-mechanics-and-units-starter-question-ial-y2-w22-q1.webp Edexcel IAL Maths Year 2 starter question: Modelling in mechanics & units (week 22) Edexcel IAL Maths Year 2 starter question on Modelling in mechanics & units: A stone thrown upwards is modelled as a particle moving under gravity. State two modelling assumptions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-kinematics-suvat-starter-question-ial-y2-w22-q2.webp Edexcel IAL Maths Year 2 starter question: Kinematics: suvat (week 22) Edexcel IAL Maths Year 2 starter question on Kinematics: suvat: A car accelerates uniformly from 5 m s⁻¹ to 25 m s⁻¹ in 8 s. Find its acceleration and the distance travelled. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-kinematics-motion-graphs-starter-question-ial-y2-w22-q3.webp Edexcel IAL Maths Year 2 starter question: Kinematics: motion graphs (week 22) Edexcel IAL Maths Year 2 starter question on Kinematics: motion graphs: A particle accelerates from rest at 2 m s⁻² for 5 s, then moves at constant speed for 10 s. Use a velocity–time graph to find the total distance. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vertical-motion-under-gravity-starter-question-ial-y2-w23-q1.webp Edexcel IAL Maths Year 2 starter question: Vertical motion under gravity (week 23) Edexcel IAL Maths Year 2 starter question on Vertical motion under gravity: A ball is thrown vertically upwards at 14.7 m s⁻¹. Find the greatest height reached. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vertical-motion-under-gravity-starter-question-ial-y2-w23-q2.webp Edexcel IAL Maths Year 2 starter question: Vertical motion under gravity (week 23) Edexcel IAL Maths Year 2 starter question on Vertical motion under gravity: A stone is dropped from rest from a cliff and hits the sea 3 s later. Find the height of the cliff. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vectors-in-mechanics-i-j-notation-starter-question-ial-y2-w23-q3.webp Edexcel IAL Maths Year 2 starter question: Vectors in mechanics (i-j notation) (week 23) Edexcel IAL Maths Year 2 starter question on Vectors in mechanics (i-j notation): A particle moves with velocity (3i - 4j) m s⁻¹. Find its speed and the angle its direction makes with i, to 1 d.p. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vectors-in-mechanics-i-j-notation-starter-question-ial-y2-w24-q1.webp Edexcel IAL Maths Year 2 starter question: Vectors in mechanics (i-j notation) (week 24) Edexcel IAL Maths Year 2 starter question on Vectors in mechanics (i-j notation): A particle starts at (2i + j) m and moves with constant velocity (3i - 2j) m s⁻¹. Find its position vector after 4 s. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-forces-and-resultants-starter-question-ial-y2-w24-q2.webp Edexcel IAL Maths Year 2 starter question: Forces & resultants (week 24) Edexcel IAL Maths Year 2 starter question on Forces & resultants: Forces (2i + 5j) N and (4i - 13j) N act on a particle. Find the magnitude of the resultant force. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-newton-s-laws-starter-question-ial-y2-w24-q3.webp Edexcel IAL Maths Year 2 starter question: Newton's laws (week 24) Edexcel IAL Maths Year 2 starter question on Newton's laws: A resultant force of 12 N acts on a particle of mass 3 kg, initially at rest. Find its acceleration and its speed after 5 s. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-friction-and-inclined-planes-starter-question-ial-y2-w25-q1.webp Edexcel IAL Maths Year 2 starter question: Friction & inclined planes (week 25) Edexcel IAL Maths Year 2 starter question on Friction & inclined planes: A box of mass 5 kg is pulled across rough horizontal ground by a horizontal force of 30 N. The coefficient of friction is 0.4. Find the acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-friction-and-inclined-planes-starter-question-ial-y2-w25-q2.webp Edexcel IAL Maths Year 2 starter question: Friction & inclined planes (week 25) Edexcel IAL Maths Year 2 starter question on Friction & inclined planes: A particle slides down a smooth plane inclined at 30^∘ to the horizontal. Find its acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-connected-particles-and-pulleys-starter-question-ial-y2-w25-q3.webp Edexcel IAL Maths Year 2 starter question: Connected particles & pulleys (week 25) Edexcel IAL Maths Year 2 starter question on Connected particles & pulleys: Particles of mass 3 kg and 2 kg hang on either side of a smooth pulley, connected by a light inextensible string. Find the acceleration and the tension. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-momentum-and-impulse-starter-question-ial-y2-w26-q1.webp Edexcel IAL Maths Year 2 starter question: Momentum & impulse (week 26) Edexcel IAL Maths Year 2 starter question on Momentum & impulse: A ball of mass 0.2 kg hits a wall at 10 m s⁻¹ and rebounds along the same line at 6 m s⁻¹. Find the magnitude of the impulse on the ball. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-momentum-and-impulse-starter-question-ial-y2-w26-q2.webp Edexcel IAL Maths Year 2 starter question: Momentum & impulse (week 26) Edexcel IAL Maths Year 2 starter question on Momentum & impulse: A truck of mass 3000 kg moving at 4 m s⁻¹ hits a stationary truck of mass 1000 kg and they couple together. Find their common speed. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-statics-of-a-particle-starter-question-ial-y2-w26-q3.webp Edexcel IAL Maths Year 2 starter question: Statics of a particle (week 26) Edexcel IAL Maths Year 2 starter question on Statics of a particle: A particle of weight 20 N hangs in equilibrium from two strings, each inclined at 60^∘ to the horizontal. Find the tension in each string. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-edexcel-ial-year-2-starter-questions-weeks-27-40 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-friction-and-inclined-planes-starter-question-ial-y2-w27-q1.webp Edexcel IAL Maths Year 2 starter question: Friction & inclined planes (week 27) Edexcel IAL Maths Year 2 starter question on Friction & inclined planes: A block of mass 4 kg rests on a rough horizontal table with μ = 0.5. Find the largest horizontal force that can act on it without it moving. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-moments-and-equilibrium-starter-question-ial-y2-w27-q2.webp Edexcel IAL Maths Year 2 starter question: Moments & equilibrium (week 27) Edexcel IAL Maths Year 2 starter question on Moments & equilibrium: A uniform rod AB, length 4 m and weight 60 N, rests on supports at A and B. A 40 N weight is placed 1 m from A. Find the reactions at A and B. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-statics-of-a-particle-starter-question-ial-y2-w27-q3.webp Edexcel IAL Maths Year 2 starter question: Statics of a particle (week 27) Edexcel IAL Maths Year 2 starter question on Statics of a particle: A particle of mass 2 kg is held at rest on a smooth plane inclined at θ to the horizontal, where sinθ = 0.6, by a force P acting up the line of greatest slope. Find P. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-moments-and-equilibrium-starter-question-ial-y2-w28-q1.webp Edexcel IAL Maths Year 2 starter question: Moments & equilibrium (week 28) Edexcel IAL Maths Year 2 starter question on Moments & equilibrium: A non-uniform rod AB, length 6 m and mass 10 kg, rests horizontally on supports at A and B. The reaction at B is 40 N. Find the distance of the centre of mass from A. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-moments-and-equilibrium-starter-question-ial-y2-w28-q2.webp Edexcel IAL Maths Year 2 starter question: Moments & equilibrium (week 28) Edexcel IAL Maths Year 2 starter question on Moments & equilibrium: A uniform plank of length 5 m and mass 20 kg rests on supports C, 1 m from A, and D, 1 m from B. How far beyond D can a 40 kg child stand before the plank tilts? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-momentum-and-impulse-starter-question-ial-y2-w28-q3.webp Edexcel IAL Maths Year 2 starter question: Momentum & impulse (week 28) Edexcel IAL Maths Year 2 starter question on Momentum & impulse: Particles of mass 2 kg and 3 kg move towards each other at 5 m s⁻¹ and 2 m s⁻¹. They coalesce. Find their common velocity. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-kinematics-suvat-starter-question-ial-y2-w29-q1.webp Edexcel IAL Maths Year 2 starter question: Kinematics: suvat (week 29) Edexcel IAL Maths Year 2 starter question on Kinematics: suvat: A cyclist slows uniformly from 12 m s⁻¹ to rest over 36 m. Find the deceleration and the time taken. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-newton-s-laws-starter-question-ial-y2-w29-q2.webp Edexcel IAL Maths Year 2 starter question: Newton's laws (week 29) Edexcel IAL Maths Year 2 starter question on Newton's laws: A lift of mass 500 kg accelerates upwards at 0.4 m s⁻². Find the tension in the lift cable. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-modelling-in-mechanics-and-units-starter-question-ial-y2-w29-q3.webp Edexcel IAL Maths Year 2 starter question: Modelling in mechanics & units (week 29) Edexcel IAL Maths Year 2 starter question on Modelling in mechanics & units: Explain what modelling a string as 'light' and as 'inextensible' means for the calculation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-r-sin-x-form-starter-question-ial-y2-w30-q1.webp Edexcel IAL Maths Year 2 starter question: The R sin(x±α) form (week 30) Edexcel IAL Maths Year 2 starter question on The R sin(x±α) form: Given sin x + √3cos x ≡ 2sin(x + (π)/3), find the maximum value of 1/(3 + sin x + √3cos x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differential-equations-starter-question-ial-y2-w30-q2.webp Edexcel IAL Maths Year 2 starter question: Differential equations (week 30) Edexcel IAL Maths Year 2 starter question on Differential equations: Find the general solution of dy/dx = y/x for x, y > 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-connected-particles-and-pulleys-starter-question-ial-y2-w30-q3.webp Edexcel IAL Maths Year 2 starter question: Connected particles & pulleys (week 30) Edexcel IAL Maths Year 2 starter question on Connected particles & pulleys: A car of mass 1200 kg tows a trailer of mass 400 kg by a light rigid towbar. The driving force is 2400 N; resistances are ignored. Find the acceleration and the tension in… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-implicit-differentiation-starter-question-ial-y2-w31-q1.webp Edexcel IAL Maths Year 2 starter question: Implicit differentiation (week 31) Edexcel IAL Maths Year 2 starter question on Implicit differentiation: Find dy/dx for the curve e^y = x² + 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-scalar-dot-product-starter-question-ial-y2-w31-q2.webp Edexcel IAL Maths Year 2 starter question: The scalar (dot) product (week 31) Edexcel IAL Maths Year 2 starter question on The scalar (dot) product: Show that a = 2i + 3j - k and b = i - j - k are perpendicular. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-friction-and-inclined-planes-starter-question-ial-y2-w31-q3.webp Edexcel IAL Maths Year 2 starter question: Friction & inclined planes (week 31) Edexcel IAL Maths Year 2 starter question on Friction & inclined planes: A block is on the point of sliding down a rough plane inclined at 30^∘ to the horizontal. Find the coefficient of friction. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w32-q1.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 32) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Find ∫ 1/(2x + 5) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w32-q2.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 32) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Express cos² x in terms of cos 2x, and hence find ∫ cos² x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vector-equations-of-lines-starter-question-ial-y2-w32-q3.webp Edexcel IAL Maths Year 2 starter question: Vector equations of lines (week 32) Edexcel IAL Maths Year 2 starter question on Vector equations of lines: Find the point of intersection of the lines r = (i + 2j) + λ(i + j + k) and r = 3i + μ(2j + k). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-equations-starter-question-ial-y2-w33-q1.webp Edexcel IAL Maths Year 2 starter question: Parametric equations (week 33) Edexcel IAL Maths Year 2 starter question on Parametric equations: Find a Cartesian equation of the curve x = sec t, y = tan t. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-kinematics-suvat-starter-question-ial-y2-w33-q2.webp Edexcel IAL Maths Year 2 starter question: Kinematics: suvat (week 33) Edexcel IAL Maths Year 2 starter question on Kinematics: suvat: A particle has initial velocity 3 m s⁻¹ and constant acceleration 2 m s⁻². Find the distance it travels in the 4th second. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-the-scalar-dot-product-starter-question-ial-y2-w33-q3.webp Edexcel IAL Maths Year 2 starter question: The scalar (dot) product (week 33) Edexcel IAL Maths Year 2 starter question on The scalar (dot) product: Find the acute angle between lines with direction vectors i + 2j + 2k and 2i + 2j + k, to 1 d.p. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-composite-and-inverse-functions-starter-question-ial-y2-w34-q1.webp Edexcel IAL Maths Year 2 starter question: Composite & inverse functions (week 34) Edexcel IAL Maths Year 2 starter question on Composite & inverse functions: Given f(x) = e^x and g(x) = ln(x + 3), x > -3, find fg(x) in its simplest form. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-partial-fractions-starter-question-ial-y2-w34-q2.webp Edexcel IAL Maths Year 2 starter question: Partial fractions (week 34) Edexcel IAL Maths Year 2 starter question on Partial fractions: Express 4/(x² - 4) in partial fractions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-kinematics-suvat-starter-question-ial-y2-w34-q3.webp Edexcel IAL Maths Year 2 starter question: Kinematics: suvat (week 34) Edexcel IAL Maths Year 2 starter question on Kinematics: suvat: A train slows uniformly from 30 m s⁻¹ to 10 m s⁻¹ over 400 m. Find its deceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-reciprocal-and-inverse-trig-functions-starter-question-ial-y2-w35-q1.webp Edexcel IAL Maths Year 2 starter question: Reciprocal & inverse trig functions (week 35) Edexcel IAL Maths Year 2 starter question on Reciprocal & inverse trig functions: Solve sec x = 2 for 0 ≤ x ≤ 2π. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-parametric-differentiation-starter-question-ial-y2-w35-q2.webp Edexcel IAL Maths Year 2 starter question: Parametric differentiation (week 35) Edexcel IAL Maths Year 2 starter question on Parametric differentiation: Find the equation of the tangent to the curve x = t², y = 2t at the point where t = 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-momentum-and-impulse-starter-question-ial-y2-w35-q3.webp Edexcel IAL Maths Year 2 starter question: Momentum & impulse (week 35) Edexcel IAL Maths Year 2 starter question on Momentum & impulse: A constant force acts on a 2 kg particle for 3 s, changing its velocity from (i + 2j) to (7i - 4j) m s⁻¹. Find the impulse and the force. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-chain-product-and-quotient-rules-starter-question-ial-y2-w36-q1.webp Edexcel IAL Maths Year 2 starter question: Chain, product & quotient rules (week 36) Edexcel IAL Maths Year 2 starter question on Chain, product & quotient rules: Find dy/dx for y = ln(cos x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-connected-rates-of-change-starter-question-ial-y2-w36-q2.webp Edexcel IAL Maths Year 2 starter question: Connected rates of change (week 36) Edexcel IAL Maths Year 2 starter question on Connected rates of change: The volume of a cube increases at 12 cm³ s⁻¹. Find the rate at which its side length increases when the side is 2 cm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-moments-and-equilibrium-starter-question-ial-y2-w36-q3.webp Edexcel IAL Maths Year 2 starter question: Moments & equilibrium (week 36) Edexcel IAL Maths Year 2 starter question on Moments & equilibrium: A uniform rod AB, length 2 m and mass 6 kg, is held horizontal by a vertical string at A and a support at C, 0.5 m from B. Find the tension in the string. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-binomial-expansion-general-index-starter-question-ial-y2-w37-q1.webp Edexcel IAL Maths Year 2 starter question: Binomial expansion (general index) (week 37) Edexcel IAL Maths Year 2 starter question on Binomial expansion (general index): Expand (1 + 3x)^(1/3) up to the term in x², and state the values of x for which it is valid. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-numerical-methods-root-location-and-iteration-starter-question-ial-y2-w37-q2.webp Edexcel IAL Maths Year 2 starter question: Numerical methods (root location & iteration) (week 37) Edexcel IAL Maths Year 2 starter question on Numerical methods (root location & iteration): Show that x³ + x - 1 = 0 can be written as x = 1/(x² + 1). Use x_n+1 = 1/(x_n² + 1) with x_0 = 0.7 to find x_1 to 4 d.p. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-vectors-in-mechanics-i-j-notation-starter-question-ial-y2-w37-q3.webp Edexcel IAL Maths Year 2 starter question: Vectors in mechanics (i-j notation) (week 37) Edexcel IAL Maths Year 2 starter question on Vectors in mechanics (i-j notation): A ship sails with velocity (6i + 8j) km h⁻¹, where i is east and j is north. Find its speed and its bearing, to 1 d.p. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integration-by-parts-starter-question-ial-y2-w38-q1.webp Edexcel IAL Maths Year 2 starter question: Integration by parts (week 38) Edexcel IAL Maths Year 2 starter question on Integration by parts: Find ∫ x² ln x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-differential-equations-starter-question-ial-y2-w38-q2.webp Edexcel IAL Maths Year 2 starter question: Differential equations (week 38) Edexcel IAL Maths Year 2 starter question on Differential equations: Solve dy/dx = e^(-y), given that y = 0 when x = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-statics-of-a-particle-starter-question-ial-y2-w38-q3.webp Edexcel IAL Maths Year 2 starter question: Statics of a particle (week 38) Edexcel IAL Maths Year 2 starter question on Statics of a particle: Forces (3i + pj) N, (qi - 2j) N and (-5i + 6j) N act on a particle in equilibrium. Find p and q. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-compound-and-double-angle-formulae-starter-question-ial-y2-w39-q1.webp Edexcel IAL Maths Year 2 starter question: Compound & double angle formulae (week 39) Edexcel IAL Maths Year 2 starter question on Compound & double angle formulae: Find the exact value of tan 15^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-volumes-of-revolution-starter-question-ial-y2-w39-q2.webp Edexcel IAL Maths Year 2 starter question: Volumes of revolution (week 39) Edexcel IAL Maths Year 2 starter question on Volumes of revolution: The region under y = e^x, 0 ≤ x ≤ 1, is rotated through 2π about the x-axis. Find the exact volume. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-connected-particles-and-pulleys-starter-question-ial-y2-w39-q3.webp Edexcel IAL Maths Year 2 starter question: Connected particles & pulleys (week 39) Edexcel IAL Maths Year 2 starter question on Connected particles & pulleys: Particle A (2 kg) lies on a smooth horizontal table, joined by a light string over a smooth pulley at the edge to particle B (3 kg), which hangs freely. Find the… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-proof-by-contradiction-starter-question-ial-y2-w40-q1.webp Edexcel IAL Maths Year 2 starter question: Proof by contradiction (week 40) Edexcel IAL Maths Year 2 starter question on Proof by contradiction: Prove by contradiction that there are infinitely many primes. (Hint: consider N = p_1p_2… p_n + 1.) https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-integrating-e-x-1-x-sin-x-and-cos-x-incl-f-ax-b-starter-question-ial-y2-w40-q2.webp Edexcel IAL Maths Year 2 starter question: Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)) (week 40) Edexcel IAL Maths Year 2 starter question on Integrating e^x, 1/x, sin x & cos x (incl. f(ax+b)): Evaluate ∫_1^e 3/x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-edexcel-ial-year-2-friction-and-inclined-planes-starter-question-ial-y2-w40-q3.webp Edexcel IAL Maths Year 2 starter question: Friction & inclined planes (week 40) Edexcel IAL Maths Year 2 starter question on Friction & inclined planes: A sledge of mass 10 kg is pulled at constant speed across rough horizontal snow by a horizontal rope with tension 24.5 N. Find the coefficient of friction. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-1-starter-questions-weeks-1-13 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-laws-of-indices-starter-question-uk-y1-w1-q1.webp A Level Maths Year 1 starter question: Laws of indices (week 1) A Level Maths Year 1 starter question on Laws of indices: Simplify (6x⁵ × 2x⁻²)/(4x²). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-expanding-and-factorising-polynomials-starter-question-uk-y1-w1-q2.webp A Level Maths Year 1 starter question: Expanding & factorising polynomials (week 1) A Level Maths Year 1 starter question on Expanding & factorising polynomials: Factorise completely 2x³ - 8x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-surds-simplifying-and-rationalising-starter-question-uk-y1-w1-q3.webp A Level Maths Year 1 starter question: Surds: simplifying & rationalising (week 1) A Level Maths Year 1 starter question on Surds: simplifying & rationalising: Rationalise the denominator of 4/(√5 - 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-quadratics-and-the-discriminant-starter-question-uk-y1-w2-q1.webp A Level Maths Year 1 starter question: Solving quadratics & the discriminant (week 2) A Level Maths Year 1 starter question on Solving quadratics & the discriminant: Solve x² - 4x - 1 = 0, giving your answers in surd form. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-completing-the-square-starter-question-uk-y1-w2-q2.webp A Level Maths Year 1 starter question: Completing the square (week 2) A Level Maths Year 1 starter question on Completing the square: Write 2x² - 12x + 5 in the form a(x + b)² + c. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-quadratic-graphs-and-roots-starter-question-uk-y1-w2-q3.webp A Level Maths Year 1 starter question: Quadratic graphs & roots (week 2) A Level Maths Year 1 starter question on Quadratic graphs & roots: For y = x² - 2x - 8, find the x-intercepts, the y-intercept and the vertex. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-simultaneous-equations-linear-and-quadratic-starter-question-uk-y1-w3-q1.webp A Level Maths Year 1 starter question: Simultaneous equations (linear & quadratic) (week 3) A Level Maths Year 1 starter question on Simultaneous equations (linear & quadratic): Solve the simultaneous equations 2x + 3y = 13 and 4x - y = 5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-simultaneous-equations-linear-and-quadratic-starter-question-uk-y1-w3-q2.webp A Level Maths Year 1 starter question: Simultaneous equations (linear & quadratic) (week 3) A Level Maths Year 1 starter question on Simultaneous equations (linear & quadratic): Solve the simultaneous equations x + y = 5 and xy = 6. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linear-and-quadratic-inequalities-starter-question-uk-y1-w3-q3.webp A Level Maths Year 1 starter question: Linear & quadratic inequalities (week 3) A Level Maths Year 1 starter question on Linear & quadratic inequalities: Solve x² + 2x - 15 ≤ 0, giving your answer in set notation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linear-and-quadratic-inequalities-starter-question-uk-y1-w4-q1.webp A Level Maths Year 1 starter question: Linear & quadratic inequalities (week 4) A Level Maths Year 1 starter question on Linear & quadratic inequalities: Solve 6/x > 2, x ≠ 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-sketching-cubics-quartics-and-reciprocals-starter-question-uk-y1-w4-q2.webp A Level Maths Year 1 starter question: Sketching cubics, quartics & reciprocals (week 4) A Level Maths Year 1 starter question on Sketching cubics, quartics & reciprocals: For y = (x - 1)²(x + 2), find where the curve meets the axes. Where does it touch the x-axis? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-sketching-cubics-quartics-and-reciprocals-starter-question-uk-y1-w4-q3.webp A Level Maths Year 1 starter question: Sketching cubics, quartics & reciprocals (week 4) A Level Maths Year 1 starter question on Sketching cubics, quartics & reciprocals: Write down the equations of the asymptotes of y = 1/(x - 2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-graph-transformations-translations-stretches-starter-question-uk-y1-w5-q1.webp A Level Maths Year 1 starter question: Graph transformations (translations, stretches, reflections) (week 5) A Level Maths Year 1 starter question on Graph transformations (translations, stretches, reflections): The graph of y = f(x) has a maximum point at (2, 5). Write down the maximum point of y = f(x + 3) and of y = 2f(x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-graph-transformations-translations-stretches-starter-question-uk-y1-w5-q2.webp A Level Maths Year 1 starter question: Graph transformations (translations, stretches, reflections) (week 5) A Level Maths Year 1 starter question on Graph transformations (translations, stretches, reflections): Describe the single transformation that maps y = x³ onto y = (2x)^3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-straight-lines-gradient-equation-and-intersection-starter-question-uk-y1-w5-q3.webp A Level Maths Year 1 starter question: Straight lines: gradient, equation & intersection (week 5) A Level Maths Year 1 starter question on Straight lines: gradient, equation & intersection: Find the gradient and the y-intercept of the line 3x - 2y + 8 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-straight-lines-gradient-equation-and-intersection-starter-question-uk-y1-w6-q1.webp A Level Maths Year 1 starter question: Straight lines: gradient, equation & intersection (week 6) A Level Maths Year 1 starter question on Straight lines: gradient, equation & intersection: Find the point of intersection of y = 3x - 2 and x + 2y = 10. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-parallel-and-perpendicular-lines-starter-question-uk-y1-w6-q2.webp A Level Maths Year 1 starter question: Parallel & perpendicular lines (week 6) A Level Maths Year 1 starter question on Parallel & perpendicular lines: Find the equation of the line through (3, 4) parallel to y = -2x + 7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-parallel-and-perpendicular-lines-starter-question-uk-y1-w6-q3.webp A Level Maths Year 1 starter question: Parallel & perpendicular lines (week 6) A Level Maths Year 1 starter question on Parallel & perpendicular lines: Show that the lines 2x + 3y = 6 and 3x - 2y = 1 are perpendicular. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-equation-and-properties-of-a-circle-starter-question-uk-y1-w7-q1.webp A Level Maths Year 1 starter question: Equation & properties of a circle (week 7) A Level Maths Year 1 starter question on Equation & properties of a circle: Write down the equation of the circle with centre (-1, 4) and radius 6, and expand it. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-equation-and-properties-of-a-circle-starter-question-uk-y1-w7-q2.webp A Level Maths Year 1 starter question: Equation & properties of a circle (week 7) A Level Maths Year 1 starter question on Equation & properties of a circle: Find the centre and radius of the circle x² + y² + 4x - 10y + 20 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-tangents-and-chords-of-a-circle-starter-question-uk-y1-w7-q3.webp A Level Maths Year 1 starter question: Tangents & chords of a circle (week 7) A Level Maths Year 1 starter question on Tangents & chords of a circle: Find the equation of the tangent to the circle (x - 1)² + (y - 2)² = 25 at the point (4, 6). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-tangents-and-chords-of-a-circle-starter-question-uk-y1-w8-q1.webp A Level Maths Year 1 starter question: Tangents & chords of a circle (week 8) A Level Maths Year 1 starter question on Tangents & chords of a circle: The line y = x + k is a tangent to the circle x² + y² = 8. Find the possible values of k. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-algebraic-division-and-the-factor-theorem-starter-question-uk-y1-w8-q2.webp A Level Maths Year 1 starter question: Algebraic division & the factor theorem (week 8) A Level Maths Year 1 starter question on Algebraic division & the factor theorem: Show that (x + 3) is a factor of x³ + x² - 9x - 9, and factorise it fully. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-algebraic-division-and-the-factor-theorem-starter-question-uk-y1-w8-q3.webp A Level Maths Year 1 starter question: Algebraic division & the factor theorem (week 8) A Level Maths Year 1 starter question on Algebraic division & the factor theorem: Simplify (x² + 5x + 6)/(x² - 4). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-proof-by-deduction-starter-question-uk-y1-w9-q1.webp A Level Maths Year 1 starter question: Proof by deduction (week 9) A Level Maths Year 1 starter question on Proof by deduction: Prove that the square of any odd number is odd. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-proof-by-exhaustion-starter-question-uk-y1-w9-q2.webp A Level Maths Year 1 starter question: Proof by exhaustion (week 9) A Level Maths Year 1 starter question on Proof by exhaustion: Prove by exhaustion that no square number ends in the digit 7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-disproof-by-counter-example-starter-question-uk-y1-w9-q3.webp A Level Maths Year 1 starter question: Disproof by counter-example (week 9) A Level Maths Year 1 starter question on Disproof by counter-example: Disprove by counter-example: 'if x > y then x² > y²'. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-binomial-expansion-positive-integer-n-starter-question-uk-y1-w10-q1.webp A Level Maths Year 1 starter question: Binomial expansion (positive integer n) (week 10) A Level Maths Year 1 starter question on Binomial expansion (positive integer n): Find the first three terms, in ascending powers of x, of (1 - 2x)^7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-binomial-expansion-positive-integer-n-starter-question-uk-y1-w10-q2.webp A Level Maths Year 1 starter question: Binomial expansion (positive integer n) (week 10) A Level Maths Year 1 starter question on Binomial expansion (positive integer n): Find the coefficient of x³ in the expansion of (3 + 2x)^5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-sine-and-cosine-rules-starter-question-uk-y1-w10-q3.webp A Level Maths Year 1 starter question: Sine & cosine rules (week 10) A Level Maths Year 1 starter question on Sine & cosine rules: A triangle has sides a = 7 cm, b = 8 cm and c = 9 cm. Find angle A to 1 decimal place. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-sine-and-cosine-rules-starter-question-uk-y1-w11-q1.webp A Level Maths Year 1 starter question: Sine & cosine rules (week 11) A Level Maths Year 1 starter question on Sine & cosine rules: In triangle PQR, PQ = 12 cm, angle P = 40^∘ and angle Q = 75^∘. Find QR to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-area-of-a-triangle-1-2ab-sinc-starter-question-uk-y1-w11-q2.webp A Level Maths Year 1 starter question: Area of a triangle (½ab sinC) (week 11) A Level Maths Year 1 starter question on Area of a triangle (½ab sinC): A triangle has sides of 6 cm and 9 cm with an included angle of 120^∘. Find its exact area. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-graphs-of-sin-cos-and-tan-starter-question-uk-y1-w11-q3.webp A Level Maths Year 1 starter question: Graphs of sin, cos & tan (week 11) A Level Maths Year 1 starter question on Graphs of sin, cos & tan: State the period of y = tan x and of y = cos x, in degrees, and the range of y = 3sin x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-trig-ratios-and-exact-values-starter-question-uk-y1-w12-q1.webp A Level Maths Year 1 starter question: Trig ratios & exact values (week 12) A Level Maths Year 1 starter question on Trig ratios & exact values: Find the exact values of cos 210^∘ and tan 135^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-fundamental-trig-identities-starter-question-uk-y1-w12-q2.webp A Level Maths Year 1 starter question: Fundamental trig identities (week 12) A Level Maths Year 1 starter question on Fundamental trig identities: Given cosθ = -5/13 and 180^∘ < θ < 270^∘, find sinθ and tanθ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-basic-trig-equations-starter-question-uk-y1-w12-q3.webp A Level Maths Year 1 starter question: Solving basic trig equations (week 12) A Level Maths Year 1 starter question on Solving basic trig equations: Solve cos x = -0.5 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-quadratic-form-trig-equations-starter-question-uk-y1-w13-q1.webp A Level Maths Year 1 starter question: Solving quadratic-form trig equations (week 13) A Level Maths Year 1 starter question on Solving quadratic-form trig equations: Solve 2sin² x + sin x - 1 = 0 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-vectors-in-2d-notation-magnitude-and-direction-starter-question-uk-y1-w13-q2.webp A Level Maths Year 1 starter question: Vectors in 2D: notation, magnitude & direction (week 13) A Level Maths Year 1 starter question on Vectors in 2D: notation, magnitude & direction: Find the magnitude of -2i + 2√3j and the angle it makes with the positive i direction. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-vector-arithmetic-and-scalar-multiples-starter-question-uk-y1-w13-q3.webp A Level Maths Year 1 starter question: Vector arithmetic & scalar multiples (week 13) A Level Maths Year 1 starter question on Vector arithmetic & scalar multiples: Given a = 2i - 3j and b = -i + 4j, find 3a - 2b and |a + b|. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-1-starter-questions-weeks-14-26 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-position-vectors-and-geometry-problems-starter-question-uk-y1-w14-q1.webp A Level Maths Year 1 starter question: Position vectors & geometry problems (week 14) A Level Maths Year 1 starter question on Position vectors & geometry problems: A and B have position vectors 2i + j and 8i + 9j. Find AB, |AB| and the position vector of the midpoint of AB. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-vector-arithmetic-and-scalar-multiples-starter-question-uk-y1-w14-q2.webp A Level Maths Year 1 starter question: Vector arithmetic & scalar multiples (week 14) A Level Maths Year 1 starter question on Vector arithmetic & scalar multiples: Find k so that ki + 6j is parallel to 2i + 3j. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-position-vectors-and-geometry-problems-starter-question-uk-y1-w14-q3.webp A Level Maths Year 1 starter question: Position vectors & geometry problems (week 14) A Level Maths Year 1 starter question on Position vectors & geometry problems: OABC is a parallelogram with OA = a and OC = c. M is the midpoint of AB. Find OM in terms of a and c. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-differentiation-from-first-principles-starter-question-uk-y1-w15-q1.webp A Level Maths Year 1 starter question: Differentiation from first principles (week 15) A Level Maths Year 1 starter question on Differentiation from first principles: Prove from first principles that the derivative of x² is 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-differentiating-powers-of-x-starter-question-uk-y1-w15-q2.webp A Level Maths Year 1 starter question: Differentiating powers of x (week 15) A Level Maths Year 1 starter question on Differentiating powers of x: Differentiate y = 5x⁴ - 3/x + 2√x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-differentiating-powers-of-x-starter-question-uk-y1-w15-q3.webp A Level Maths Year 1 starter question: Differentiating powers of x (week 15) A Level Maths Year 1 starter question on Differentiating powers of x: Find the gradient of y = x³ - 4x at the point (2, 0). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-tangents-and-normals-starter-question-uk-y1-w16-q1.webp A Level Maths Year 1 starter question: Tangents & normals (week 16) A Level Maths Year 1 starter question on Tangents & normals: Find the equation of the normal to y = x² + 3x at the point where x = 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-increasing-and-decreasing-functions-starter-question-uk-y1-w16-q2.webp A Level Maths Year 1 starter question: Increasing & decreasing functions (week 16) A Level Maths Year 1 starter question on Increasing & decreasing functions: Show that f(x) = x³ + 3x + 1 is increasing for all x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-stationary-points-and-the-second-derivative-starter-question-uk-y1-w16-q3.webp A Level Maths Year 1 starter question: Stationary points & the second derivative (week 16) A Level Maths Year 1 starter question on Stationary points & the second derivative: Find the stationary point of y = 2x² - 8x + 3 and determine its nature. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-stationary-points-and-the-second-derivative-starter-question-uk-y1-w17-q1.webp A Level Maths Year 1 starter question: Stationary points & the second derivative (week 17) A Level Maths Year 1 starter question on Stationary points & the second derivative: Find and classify the stationary points of y = x³ - 12x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-integrating-powers-of-x-starter-question-uk-y1-w17-q2.webp A Level Maths Year 1 starter question: Integrating powers of x (week 17) A Level Maths Year 1 starter question on Integrating powers of x: Find ∫ (4x³ - 2/(x³))dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-integrating-powers-of-x-starter-question-uk-y1-w17-q3.webp A Level Maths Year 1 starter question: Integrating powers of x (week 17) A Level Maths Year 1 starter question on Integrating powers of x: Find f(x) given that f'(x) = 6x - 5 and f(2) = 7. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-definite-integrals-and-area-under-a-curve-starter-question-uk-y1-w18-q1.webp A Level Maths Year 1 starter question: Definite integrals & area under a curve (week 18) A Level Maths Year 1 starter question on Definite integrals & area under a curve: Evaluate ∫_1⁴ 3√x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-definite-integrals-and-area-under-a-curve-starter-question-uk-y1-w18-q2.webp A Level Maths Year 1 starter question: Definite integrals & area under a curve (week 18) A Level Maths Year 1 starter question on Definite integrals & area under a curve: Find the total area between y = x(x - 2) and the x-axis for 0 ≤ x ≤ 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-area-between-a-curve-and-a-line-starter-question-uk-y1-w18-q3.webp A Level Maths Year 1 starter question: Area between a curve and a line (week 18) A Level Maths Year 1 starter question on Area between a curve and a line: Find the area enclosed between y = x² - 4x + 5 and the line y = 5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-the-number-e-and-y-e-x-starter-question-uk-y1-w19-q1.webp A Level Maths Year 1 starter question: The number e and y=e^x (week 19) A Level Maths Year 1 starter question on The number e and y=e^x: The gradient of y = e^(kx) at x = 0 is 3. Find k, and the exact gradient of y = e^(3x) at x = 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-exponential-growth-and-decay-models-starter-question-uk-y1-w19-q2.webp A Level Maths Year 1 starter question: Exponential growth & decay models (week 19) A Level Maths Year 1 starter question on Exponential growth & decay models: A car's value is modelled by V = 18000e^(-0.15t) (£, t years). Write down its initial value and find its value after 4 years, to the nearest £100. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-logarithms-and-the-laws-of-logs-starter-question-uk-y1-w19-q3.webp A Level Maths Year 1 starter question: Logarithms & the laws of logs (week 19) A Level Maths Year 1 starter question on Logarithms & the laws of logs: Write down the values of log_5 125 and log_4 1/16. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-logarithms-and-the-laws-of-logs-starter-question-uk-y1-w20-q1.webp A Level Maths Year 1 starter question: Logarithms & the laws of logs (week 20) A Level Maths Year 1 starter question on Logarithms & the laws of logs: Write 3log x - log(x²) + log 5 as a single logarithm (x > 0). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-equations-using-logarithms-starter-question-uk-y1-w20-q2.webp A Level Maths Year 1 starter question: Solving equations using logarithms (week 20) A Level Maths Year 1 starter question on Solving equations using logarithms: Solve 3^(2x) - 10 × 3^x + 9 = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linearising-data-with-logs-starter-question-uk-y1-w20-q3.webp A Level Maths Year 1 starter question: Linearising data with logs (week 20) A Level Maths Year 1 starter question on Linearising data with logs: Data are modelled by y = ab^x. A graph of log_10 y against x is a straight line with gradient 0.3 and intercept 1.2. Find a and b to 3 s.f. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-populations-samples-and-census-starter-question-uk-y1-w21-q1.webp A Level Maths Year 1 starter question: Populations, samples & census (week 21) A Level Maths Year 1 starter question on Populations, samples & census: State one advantage and one disadvantage of taking a census rather than a sample. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-simple-random-sampling-starter-question-uk-y1-w21-q2.webp A Level Maths Year 1 starter question: Simple random sampling (week 21) A Level Maths Year 1 starter question on Simple random sampling: Describe how to take a simple random sample of 20 students from a school of 800. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-systematic-stratified-quota-and-opportunity-starter-question-uk-y1-w21-q3.webp A Level Maths Year 1 starter question: Systematic, stratified, quota & opportunity sampling (week 21) A Level Maths Year 1 starter question on Systematic, stratified, quota & opportunity sampling: A sixth form has 300 Year 12 and 200 Year 13 students. A stratified sample of 40 is taken. How many students are chosen from each year? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-measures-of-central-tendency-mean-median-mode-starter-question-uk-y1-w22-q1.webp A Level Maths Year 1 starter question: Measures of central tendency (mean, median, mode) (week 22) A Level Maths Year 1 starter question on Measures of central tendency (mean, median, mode): Estimate the mean of the grouped data with class mid-points 5, 15, 25 and frequencies 4, 10, 6. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-measures-of-spread-range-iqr-variance-sd-starter-question-uk-y1-w22-q2.webp A Level Maths Year 1 starter question: Measures of spread (range, IQR, variance, sd) (week 22) A Level Maths Year 1 starter question on Measures of spread (range, IQR, variance, sd): For 8 values, Σ x = 48 and Σ x² = 320. Find the variance and the standard deviation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-coding-data-starter-question-uk-y1-w22-q3.webp A Level Maths Year 1 starter question: Coding data (week 22) A Level Maths Year 1 starter question on Coding data: Values are coded using y = x - 50. The coded values have mean 2.5 and variance 16. Find the mean and standard deviation of x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-box-plots-and-outliers-starter-question-uk-y1-w23-q1.webp A Level Maths Year 1 starter question: Box plots & outliers (week 23) A Level Maths Year 1 starter question on Box plots & outliers: A data set has lower quartile 18 and upper quartile 30. Is a value of 50 an outlier, using the 1.5 × IQR rule? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-histograms-and-frequency-density-starter-question-uk-y1-w23-q2.webp A Level Maths Year 1 starter question: Histograms & frequency density (week 23) A Level Maths Year 1 starter question on Histograms & frequency density: On a histogram, a class of width 5 with frequency 20 is drawn 8 cm tall. How tall should a class of width 10 with frequency 30 be? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-cumulative-frequency-starter-question-uk-y1-w23-q3.webp A Level Maths Year 1 starter question: Cumulative frequency (week 23) A Level Maths Year 1 starter question on Cumulative frequency: For 60 students, the cumulative frequency is 25 at 40 marks and 35 at 50 marks. Use linear interpolation to estimate the median. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linear-regression-and-interpretation-starter-question-uk-y1-w24-q1.webp A Level Maths Year 1 starter question: Linear regression & interpretation (week 24) A Level Maths Year 1 starter question on Linear regression & interpretation: The regression line of plant height y cm on time x days is y = 3.2 + 0.45x. Interpret the gradient, and estimate the height at 20 days. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-venn-diagrams-starter-question-uk-y1-w24-q2.webp A Level Maths Year 1 starter question: Venn diagrams (week 24) A Level Maths Year 1 starter question on Venn diagrams: In a class of 30, 18 play football, 12 play tennis and 5 play both. Find the probability that a student chosen at random plays neither. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-mutually-exclusive-and-independent-events-starter-question-uk-y1-w24-q3.webp A Level Maths Year 1 starter question: Mutually exclusive & independent events (week 24) A Level Maths Year 1 starter question on Mutually exclusive & independent events: A and B are independent, P(A) = 0.4 and P(B) = 0.25. Find P(A ∩ B) and P(A ∪ B). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-probability-tree-diagrams-starter-question-uk-y1-w25-q1.webp A Level Maths Year 1 starter question: Probability tree diagrams (week 25) A Level Maths Year 1 starter question on Probability tree diagrams: A biased coin has P(head) = 0.6. It is tossed twice. Find the probability of exactly one head. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-the-binomial-distribution-starter-question-uk-y1-w25-q2.webp A Level Maths Year 1 starter question: The binomial distribution (week 25) A Level Maths Year 1 starter question on The binomial distribution: X B(10, 0.3). Find P(X = 2) to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-binomial-cumulative-probabilities-starter-question-uk-y1-w25-q3.webp A Level Maths Year 1 starter question: Binomial cumulative probabilities (week 25) A Level Maths Year 1 starter question on Binomial cumulative probabilities: X B(12, 0.5). Find P(X ≤ 3) to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-hypothesis-testing-with-the-binomial-distribution-starter-question-uk-y1-w26-q1.webp A Level Maths Year 1 starter question: Hypothesis testing with the binomial distribution (week 26) A Level Maths Year 1 starter question on Hypothesis testing with the binomial distribution: To test a coin for bias towards heads, H_0: p = 0.5, H_1: p > 0.5. In 10 tosses there are 9 heads. Is this significant at the 5% level? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-critical-regions-binomial-starter-question-uk-y1-w26-q2.webp A Level Maths Year 1 starter question: Critical regions (binomial) (week 26) A Level Maths Year 1 starter question on Critical regions (binomial): X B(20, 0.4). Find the critical region for a test of H_0: p = 0.4 against H_1: p < 0.4 at the 5% level. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-hypothesis-testing-with-the-binomial-distribution-starter-question-uk-y1-w26-q3.webp A Level Maths Year 1 starter question: Hypothesis testing with the binomial distribution (week 26) A Level Maths Year 1 starter question on Hypothesis testing with the binomial distribution: Write down the hypotheses for a test of whether a die shows a six less often than a fair die would. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-1-starter-questions-weeks-27-40 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-si-units-and-quantities-in-mechanics-starter-question-uk-y1-w27-q1.webp A Level Maths Year 1 starter question: SI units & quantities in mechanics (week 27) A Level Maths Year 1 starter question on SI units & quantities in mechanics: Convert 72 km h⁻¹ to m s⁻¹, and state the SI units of force and of acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-displacement-time-and-velocity-time-graphs-starter-question-uk-y1-w27-q2.webp A Level Maths Year 1 starter question: Displacement-time & velocity-time graphs (week 27) A Level Maths Year 1 starter question on Displacement-time & velocity-time graphs: A velocity–time graph is a straight line from (0, 4) to (6, 16) (t in s, v in m s⁻¹). Find the acceleration and the distance travelled. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-constant-acceleration-formulae-suvat-starter-question-uk-y1-w27-q3.webp A Level Maths Year 1 starter question: Constant acceleration formulae (suvat) (week 27) A Level Maths Year 1 starter question on Constant acceleration formulae (suvat): A particle moving at 3 m s⁻¹ accelerates at 4 m s⁻² for 5 s. Find its final speed and the distance travelled. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-constant-acceleration-formulae-suvat-starter-question-uk-y1-w28-q1.webp A Level Maths Year 1 starter question: Constant acceleration formulae (suvat) (week 28) A Level Maths Year 1 starter question on Constant acceleration formulae (suvat): A car travelling at 20 m s⁻¹ brakes uniformly and stops in 50 m. Find the deceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-vertical-motion-under-gravity-starter-question-uk-y1-w28-q2.webp A Level Maths Year 1 starter question: Vertical motion under gravity (week 28) A Level Maths Year 1 starter question on Vertical motion under gravity: A ball is thrown vertically upwards at 19.6 m s⁻¹. Find the time to reach its highest point and the time until it returns to the point of projection. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-force-diagrams-and-resultant-forces-starter-question-uk-y1-w28-q3.webp A Level Maths Year 1 starter question: Force diagrams & resultant forces (week 28) A Level Maths Year 1 starter question on Force diagrams & resultant forces: Forces of 5 N due east and 12 N due north act on a particle. Find the magnitude of the resultant force. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-newton-s-laws-of-motion-starter-question-uk-y1-w29-q1.webp A Level Maths Year 1 starter question: Newton's laws of motion (week 29) A Level Maths Year 1 starter question on Newton's laws of motion: A car of mass 1500 kg accelerates at 2 m s⁻² against a resistance of 600 N. Find the driving force. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-connected-particles-strings-and-pulleys-starter-question-uk-y1-w29-q2.webp A Level Maths Year 1 starter question: Connected particles (strings & pulleys) (week 29) A Level Maths Year 1 starter question on Connected particles (strings & pulleys): A 4 kg particle on a smooth horizontal table is joined by a light string over a smooth pulley to a 1 kg particle hanging freely. Find the acceleration and the tension. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-newton-s-laws-of-motion-starter-question-uk-y1-w29-q3.webp A Level Maths Year 1 starter question: Newton's laws of motion (week 29) A Level Maths Year 1 starter question on Newton's laws of motion: A box of mass 10 kg rests on the floor of a lift accelerating upwards at 1.2 m s⁻². Find the reaction of the floor on the box. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-variable-acceleration-calculus-in-kinematics-starter-question-uk-y1-w30-q1.webp A Level Maths Year 1 starter question: Variable acceleration (calculus in kinematics) (week 30) A Level Maths Year 1 starter question on Variable acceleration (calculus in kinematics): A particle has displacement s = t³ - 6t² + 9t m. Find its velocity and acceleration when t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-variable-acceleration-calculus-in-kinematics-starter-question-uk-y1-w30-q2.webp A Level Maths Year 1 starter question: Variable acceleration (calculus in kinematics) (week 30) A Level Maths Year 1 starter question on Variable acceleration (calculus in kinematics): A particle has velocity v = 6t - t² m s⁻¹ for 0 ≤ t ≤ 6. Find its maximum velocity. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-variable-acceleration-calculus-in-kinematics-starter-question-uk-y1-w30-q3.webp A Level Maths Year 1 starter question: Variable acceleration (calculus in kinematics) (week 30) A Level Maths Year 1 starter question on Variable acceleration (calculus in kinematics): A particle starts at the origin with velocity v = 3t² + 2 m s⁻¹. Find its displacement when t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-variable-acceleration-calculus-in-kinematics-starter-question-uk-y1-w31-q1.webp A Level Maths Year 1 starter question: Variable acceleration (calculus in kinematics) (week 31) A Level Maths Year 1 starter question on Variable acceleration (calculus in kinematics): A particle starts from rest and has acceleration a = 4 - 2t m s⁻². Find its velocity when t = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-modelling-assumptions-starter-question-uk-y1-w31-q2.webp A Level Maths Year 1 starter question: Modelling assumptions (week 31) A Level Maths Year 1 starter question on Modelling assumptions: A block sliding on a table is modelled as a particle on a 'smooth' surface. What does 'smooth' mean, and how would the answer for its acceleration change if the assumption were removed? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-connected-particles-strings-and-pulleys-starter-question-uk-y1-w31-q3.webp A Level Maths Year 1 starter question: Connected particles (strings & pulleys) (week 31) A Level Maths Year 1 starter question on Connected particles (strings & pulleys): Particles of mass 3 kg and 5 kg are joined by a light string over a smooth fixed pulley and released from rest. Find the acceleration and the speed after 2 s. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-quadratics-and-the-discriminant-starter-question-uk-y1-w32-q1.webp A Level Maths Year 1 starter question: Solving quadratics & the discriminant (week 32) A Level Maths Year 1 starter question on Solving quadratics & the discriminant: Find the values of k for which kx² + 4x + 1 = 0 has two distinct real roots. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-equations-using-logarithms-starter-question-uk-y1-w32-q2.webp A Level Maths Year 1 starter question: Solving equations using logarithms (week 32) A Level Maths Year 1 starter question on Solving equations using logarithms: Solve log_2(x + 1) - log_2 x = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-binomial-cumulative-probabilities-starter-question-uk-y1-w32-q3.webp A Level Maths Year 1 starter question: Binomial cumulative probabilities (week 32) A Level Maths Year 1 starter question on Binomial cumulative probabilities: X B(8, 0.25). Find P(X ≥ 2) to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-the-modulus-function-and-modulus-equations-starter-question-uk-y1-w33-q1.webp A Level Maths Year 1 starter question: The modulus function & modulus equations (week 33) A Level Maths Year 1 starter question on The modulus function & modulus equations: Solve |x - 3| = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-composite-functions-starter-question-uk-y1-w33-q2.webp A Level Maths Year 1 starter question: Composite functions (week 33) A Level Maths Year 1 starter question on Composite functions: Given f(x) = x + 4 and g(x) = 2x², find gf(x) and fg(-1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-radian-measure-arc-length-and-sector-area-starter-question-uk-y1-w33-q3.webp A Level Maths Year 1 starter question: Radian measure, arc length & sector area (week 33) A Level Maths Year 1 starter question on Radian measure, arc length & sector area: Find the arc length and the area of a sector of radius 9 cm and angle (2π)/3 radians. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-surds-simplifying-and-rationalising-starter-question-uk-y1-w34-q1.webp A Level Maths Year 1 starter question: Surds: simplifying & rationalising (week 34) A Level Maths Year 1 starter question on Surds: simplifying & rationalising: Simplify √12 × √27. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-tangents-and-normals-starter-question-uk-y1-w34-q2.webp A Level Maths Year 1 starter question: Tangents & normals (week 34) A Level Maths Year 1 starter question on Tangents & normals: Find the equation of the tangent to y = √x at the point where x = 4. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-the-binomial-distribution-starter-question-uk-y1-w34-q3.webp A Level Maths Year 1 starter question: The binomial distribution (week 34) A Level Maths Year 1 starter question on The binomial distribution: X B(5, 0.2). Find P(X = 0) and P(X ≥ 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-simultaneous-equations-linear-and-quadratic-starter-question-uk-y1-w35-q1.webp A Level Maths Year 1 starter question: Simultaneous equations (linear & quadratic) (week 35) A Level Maths Year 1 starter question on Simultaneous equations (linear & quadratic): Find the points where the line y = 2x - 1 meets the curve y = x² - 4. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-basic-trig-equations-starter-question-uk-y1-w35-q2.webp A Level Maths Year 1 starter question: Solving basic trig equations (week 35) A Level Maths Year 1 starter question on Solving basic trig equations: Solve tan(x - 30^∘) = 1 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-constant-acceleration-formulae-suvat-starter-question-uk-y1-w35-q3.webp A Level Maths Year 1 starter question: Constant acceleration formulae (suvat) (week 35) A Level Maths Year 1 starter question on Constant acceleration formulae (suvat): A particle accelerates uniformly from 2 m s⁻¹ to 8 m s⁻¹ over 15 m. Find its acceleration and the time taken. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-graph-transformations-translations-stretches-starter-question-uk-y1-w36-q1.webp A Level Maths Year 1 starter question: Graph transformations (translations, stretches, reflections) (week 36) A Level Maths Year 1 starter question on Graph transformations (translations, stretches, reflections): The curve y = x² is stretched parallel to the y-axis by scale factor 3, then translated 2 units down. Write down the equation of the new curve. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-area-between-a-curve-and-a-line-starter-question-uk-y1-w36-q2.webp A Level Maths Year 1 starter question: Area between a curve and a line (week 36) A Level Maths Year 1 starter question on Area between a curve and a line: Find the area enclosed between y = 6x - x² and y = 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-mutually-exclusive-and-independent-events-starter-question-uk-y1-w36-q3.webp A Level Maths Year 1 starter question: Mutually exclusive & independent events (week 36) A Level Maths Year 1 starter question on Mutually exclusive & independent events: P(A) = 0.3, P(B) = 0.6 and P(A ∪ B) = 0.72. Show that A and B are independent. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-parallel-and-perpendicular-lines-starter-question-uk-y1-w37-q1.webp A Level Maths Year 1 starter question: Parallel & perpendicular lines (week 37) A Level Maths Year 1 starter question on Parallel & perpendicular lines: Find the equation of the perpendicular bisector of P(-2, 3) and Q(4, 7). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-solving-equations-using-logarithms-starter-question-uk-y1-w37-q2.webp A Level Maths Year 1 starter question: Solving equations using logarithms (week 37) A Level Maths Year 1 starter question on Solving equations using logarithms: Solve 4^x = 5 × 2^x, giving your answer to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-critical-regions-binomial-starter-question-uk-y1-w37-q3.webp A Level Maths Year 1 starter question: Critical regions (binomial) (week 37) A Level Maths Year 1 starter question on Critical regions (binomial): X B(20, 0.3). Find the critical region for a test of H_0: p = 0.3 against H_1: p > 0.3 at the 5% level. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-stationary-points-and-the-second-derivative-starter-question-uk-y1-w38-q1.webp A Level Maths Year 1 starter question: Stationary points & the second derivative (week 38) A Level Maths Year 1 starter question on Stationary points & the second derivative: A rectangle has perimeter 40 cm and width x cm. Show that its area is A = x(20 - x) and find the maximum area. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linearising-data-with-logs-starter-question-uk-y1-w38-q2.webp A Level Maths Year 1 starter question: Linearising data with logs (week 38) A Level Maths Year 1 starter question on Linearising data with logs: y = kx^n. A graph of log_10 y against log_10 x passes through (0, 0.6) and (2, 4.6). Find n, and k to 3 s.f. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-newton-s-laws-of-motion-starter-question-uk-y1-w38-q3.webp A Level Maths Year 1 starter question: Newton's laws of motion (week 38) A Level Maths Year 1 starter question on Newton's laws of motion: Forces (3i + 4j) N and (5i - 10j) N act on a particle of mass 2 kg. Find its acceleration and the magnitude of the acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-binomial-expansion-positive-integer-n-starter-question-uk-y1-w39-q1.webp A Level Maths Year 1 starter question: Binomial expansion (positive integer n) (week 39) A Level Maths Year 1 starter question on Binomial expansion (positive integer n): Find the term independent of x in the expansion of (x + 2/x)^6. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-area-of-a-triangle-1-2ab-sinc-starter-question-uk-y1-w39-q2.webp A Level Maths Year 1 starter question: Area of a triangle (½ab sinC) (week 39) A Level Maths Year 1 starter question on Area of a triangle (½ab sinC): A triangle has area 30 cm² and two sides of 8 cm and 10 cm. Find the possible sizes of the angle between them, to 1 d.p. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-linear-regression-and-interpretation-starter-question-uk-y1-w39-q3.webp A Level Maths Year 1 starter question: Linear regression & interpretation (week 39) A Level Maths Year 1 starter question on Linear regression & interpretation: Explain why the regression line of y on x should not be used to estimate x from a given value of y. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-definite-integrals-and-area-under-a-curve-starter-question-uk-y1-w40-q1.webp A Level Maths Year 1 starter question: Definite integrals & area under a curve (week 40) A Level Maths Year 1 starter question on Definite integrals & area under a curve: Evaluate ∫_-1² (x² + 1) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-exponential-growth-and-decay-models-starter-question-uk-y1-w40-q2.webp A Level Maths Year 1 starter question: Exponential growth & decay models (week 40) A Level Maths Year 1 starter question on Exponential growth & decay models: A culture of bacteria grows according to N = 500e^(0.2t). Find t when N = 2000, to 3 s.f. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-1-displacement-time-and-velocity-time-graphs-starter-question-uk-y1-w40-q3.webp A Level Maths Year 1 starter question: Displacement-time & velocity-time graphs (week 40) A Level Maths Year 1 starter question on Displacement-time & velocity-time graphs: A cyclist accelerates uniformly from rest to 8 m s⁻¹ in 4 s, rides at 8 m s⁻¹ for 10 s, then decelerates uniformly to rest in 2 s. Find the total distance. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-2-starter-questions-weeks-1-13 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-partial-fractions-starter-question-uk-y2-w1-q1.webp A Level Maths Year 2 starter question: Partial fractions (week 1) A Level Maths Year 2 starter question on Partial fractions: Express (5x + 1)/((x - 1)(x + 2)) in partial fractions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-algebraic-division-and-the-factor-theorem-starter-question-uk-y2-w1-q2.webp A Level Maths Year 2 starter question: Algebraic division & the factor theorem (week 1) A Level Maths Year 2 starter question on Algebraic division & the factor theorem: Show that (x - 2) is a factor of x³ - 3x² - 4x + 12, then factorise it fully. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-proof-by-contradiction-starter-question-uk-y2-w1-q3.webp A Level Maths Year 2 starter question: Proof by contradiction (week 1) A Level Maths Year 2 starter question on Proof by contradiction: Write the opening assumption and the contradiction for a proof that there is no largest even number. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-modulus-function-and-modulus-equations-starter-question-uk-y2-w2-q1.webp A Level Maths Year 2 starter question: The modulus function & modulus equations (week 2) A Level Maths Year 2 starter question on The modulus function & modulus equations: Solve |2x - 3| = 5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-composite-functions-starter-question-uk-y2-w2-q2.webp A Level Maths Year 2 starter question: Composite functions (week 2) A Level Maths Year 2 starter question on Composite functions: f(x) = 2x + 1 and g(x) = x^2. Find fg(3) and an expression for gf(x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-inverse-functions-starter-question-uk-y2-w2-q3.webp A Level Maths Year 2 starter question: Inverse functions (week 2) A Level Maths Year 2 starter question on Inverse functions: f(x) = (3x - 1)/2. Find f⁻¹(x) and f⁻¹(4). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-modulus-function-and-modulus-equations-starter-question-uk-y2-w3-q1.webp A Level Maths Year 2 starter question: The modulus function & modulus equations (week 3) A Level Maths Year 2 starter question on The modulus function & modulus equations: Solve |x - 1| = 2x + 4. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-graph-transformations-translations-stretches-starter-question-uk-y2-w3-q2.webp A Level Maths Year 2 starter question: Graph transformations (translations, stretches, reflections) (week 3) A Level Maths Year 2 starter question on Graph transformations (translations, stretches, reflections): y = f(x) has a minimum point at (3, -2). Write down the corresponding point on y = 3f(x - 2) and on y = |f(x)|. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-arithmetic-sequences-and-series-starter-question-uk-y2-w3-q3.webp A Level Maths Year 2 starter question: Arithmetic sequences & series (week 3) A Level Maths Year 2 starter question on Arithmetic sequences & series: An arithmetic series has first term 7 and common difference 4. Find the sum of the first 20 terms. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-geometric-sequences-and-series-starter-question-uk-y2-w4-q1.webp A Level Maths Year 2 starter question: Geometric sequences & series (week 4) A Level Maths Year 2 starter question on Geometric sequences & series: A geometric sequence has first term 5 and common ratio 3. Find the 6th term and the sum of the first 6 terms. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-sum-to-infinity-of-a-geometric-series-starter-question-uk-y2-w4-q2.webp A Level Maths Year 2 starter question: Sum to infinity of a geometric series (week 4) A Level Maths Year 2 starter question on Sum to infinity of a geometric series: Find the sum to infinity of 12 + 8 + 16/3 + … https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-recurrence-relations-starter-question-uk-y2-w4-q3.webp A Level Maths Year 2 starter question: Recurrence relations (week 4) A Level Maths Year 2 starter question on Recurrence relations: u_n+1 = 2u_n - 3, u_1 = 5. Find u_4 and Σ_r=1⁴ u_r. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-increasing-decreasing-and-periodic-sequences-starter-question-uk-y2-w5-q1.webp A Level Maths Year 2 starter question: Increasing, decreasing & periodic sequences (week 5) A Level Maths Year 2 starter question on Increasing, decreasing & periodic sequences: u_n = 3 - 2/n. Show that the sequence is increasing and state its limit. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-binomial-expansion-rational-n-and-range-of-starter-question-uk-y2-w5-q2.webp A Level Maths Year 2 starter question: Binomial expansion (rational n) & range of validity (week 5) A Level Maths Year 2 starter question on Binomial expansion (rational n) & range of validity: Expand √(1 - 4x) up to the term in x² and state the range of validity. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-arithmetic-sequences-and-series-starter-question-uk-y2-w5-q3.webp A Level Maths Year 2 starter question: Arithmetic sequences & series (week 5) A Level Maths Year 2 starter question on Arithmetic sequences & series: An arithmetic sequence has 3rd term 11 and 8th term 31. Find the first term and the common difference. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-binomial-expansion-rational-n-and-range-of-starter-question-uk-y2-w6-q1.webp A Level Maths Year 2 starter question: Binomial expansion (rational n) & range of validity (week 6) A Level Maths Year 2 starter question on Binomial expansion (rational n) & range of validity: Expand 1/(4 - x) up to the term in x² and state the range of validity. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-radian-measure-arc-length-and-sector-area-starter-question-uk-y2-w6-q2.webp A Level Maths Year 2 starter question: Radian measure, arc length & sector area (week 6) A Level Maths Year 2 starter question on Radian measure, arc length & sector area: A sector has radius 6 cm and angle 1.2 radians. Find its arc length and its area. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-solving-basic-trig-equations-starter-question-uk-y2-w6-q3.webp A Level Maths Year 2 starter question: Solving basic trig equations (week 6) A Level Maths Year 2 starter question on Solving basic trig equations: Solve 2sin x = 1 for 0 ≤ x ≤ 2π. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-small-angle-approximations-starter-question-uk-y2-w7-q1.webp A Level Maths Year 2 starter question: Small angle approximations (week 7) A Level Maths Year 2 starter question on Small angle approximations: For small θ (in radians), find the approximate value of (cosθ - 1)/(θtanθ). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-reciprocal-trig-functions-sec-cosec-cot-starter-question-uk-y2-w7-q2.webp A Level Maths Year 2 starter question: Reciprocal trig functions (sec, cosec, cot) (week 7) A Level Maths Year 2 starter question on Reciprocal trig functions (sec, cosec, cot): Find the exact values of sec(π)/6, cosec(3π)/4 and cot(π)/3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-reciprocal-trig-functions-sec-cosec-cot-starter-question-uk-y2-w7-q3.webp A Level Maths Year 2 starter question: Reciprocal trig functions (sec, cosec, cot) (week 7) A Level Maths Year 2 starter question on Reciprocal trig functions (sec, cosec, cot): Given tan x = 3/4 and x is acute, find the exact values of sec x and cosec x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-inverse-trig-functions-arcsin-arccos-arctan-starter-question-uk-y2-w8-q1.webp A Level Maths Year 2 starter question: Inverse trig functions (arcsin, arccos, arctan) (week 8) A Level Maths Year 2 starter question on Inverse trig functions (arcsin, arccos, arctan): Find the exact values of arcsin(-1/2) and arccos(-1/2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-compound-angle-formulae-starter-question-uk-y2-w8-q2.webp A Level Maths Year 2 starter question: Compound angle formulae (week 8) A Level Maths Year 2 starter question on Compound angle formulae: Use sin(45^∘ + 30^∘) to find the exact value of sin 75^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-double-angle-formulae-starter-question-uk-y2-w8-q3.webp A Level Maths Year 2 starter question: Double angle formulae (week 8) A Level Maths Year 2 starter question on Double angle formulae: Given cos x = 1/3 and x is acute, find the exact values of cos 2x and sin 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-r-sin-x-harmonic-form-starter-question-uk-y2-w9-q1.webp A Level Maths Year 2 starter question: The R sin(x±α) harmonic form (week 9) A Level Maths Year 2 starter question on The R sin(x±α) harmonic form: Write 3sin x + 4cos x in the form Rsin(x + α), R > 0, 0 < α < (π)/2. Give α to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-double-angle-formulae-starter-question-uk-y2-w9-q2.webp A Level Maths Year 2 starter question: Double angle formulae (week 9) A Level Maths Year 2 starter question on Double angle formulae: Solve cos 2x = cos x for 0 < x < 2π. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-compound-angle-formulae-starter-question-uk-y2-w9-q3.webp A Level Maths Year 2 starter question: Compound angle formulae (week 9) A Level Maths Year 2 starter question on Compound angle formulae: sin A = 3/5 and cos B = 5/13, with A and B acute. Find the exact value of sin(A + B). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-converting-parametric-to-cartesian-starter-question-uk-y2-w10-q1.webp A Level Maths Year 2 starter question: Converting parametric to Cartesian (week 10) A Level Maths Year 2 starter question on Converting parametric to Cartesian: A curve has parametric equations x = t + 1, y = t² - 3. Find its Cartesian equation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-converting-parametric-to-cartesian-starter-question-uk-y2-w10-q2.webp A Level Maths Year 2 starter question: Converting parametric to Cartesian (week 10) A Level Maths Year 2 starter question on Converting parametric to Cartesian: Find a Cartesian equation of the curve x = 2cos t, y = 5sin t. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-parametric-equations-starter-question-uk-y2-w10-q3.webp A Level Maths Year 2 starter question: Parametric equations (week 10) A Level Maths Year 2 starter question on Parametric equations: The curve x = t², y = 2t meets the line y = x - 3. Find the points of intersection. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-chain-rule-starter-question-uk-y2-w11-q1.webp A Level Maths Year 2 starter question: The chain rule (week 11) A Level Maths Year 2 starter question on The chain rule: Differentiate y = (3x² + 1)^5. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-product-rule-starter-question-uk-y2-w11-q2.webp A Level Maths Year 2 starter question: The product rule (week 11) A Level Maths Year 2 starter question on The product rule: Differentiate y = x² e^(3x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-differentiating-trig-functions-starter-question-uk-y2-w11-q3.webp A Level Maths Year 2 starter question: Differentiating trig functions (week 11) A Level Maths Year 2 starter question on Differentiating trig functions: Find dy/dx when y = 3cos 2x - tan x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-quotient-rule-starter-question-uk-y2-w12-q1.webp A Level Maths Year 2 starter question: The quotient rule (week 12) A Level Maths Year 2 starter question on The quotient rule: Differentiate y = x/(x² + 1), simplifying your answer. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-parametric-differentiation-starter-question-uk-y2-w12-q2.webp A Level Maths Year 2 starter question: Parametric differentiation (week 12) A Level Maths Year 2 starter question on Parametric differentiation: A curve has x = t³, y = t² + 1. Find dy/dx in terms of t, and its value at t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-implicit-differentiation-starter-question-uk-y2-w12-q3.webp A Level Maths Year 2 starter question: Implicit differentiation (week 12) A Level Maths Year 2 starter question on Implicit differentiation: Find the gradient of the curve x² + 3xy + y² = 11 at the point (1, 2). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-stationary-points-and-the-second-derivative-starter-question-uk-y2-w13-q1.webp A Level Maths Year 2 starter question: Stationary points & the second derivative (week 13) A Level Maths Year 2 starter question on Stationary points & the second derivative: Find the stationary points of y = x³ - 6x² + 9x + 1 and determine their nature. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-connected-rates-of-change-starter-question-uk-y2-w13-q2.webp A Level Maths Year 2 starter question: Connected rates of change (week 13) A Level Maths Year 2 starter question on Connected rates of change: The radius of a sphere increases at 0.2 cm s⁻¹. Find the rate of increase of its volume when the radius is 5 cm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-product-rule-starter-question-uk-y2-w13-q3.webp A Level Maths Year 2 starter question: The product rule (week 13) A Level Maths Year 2 starter question on The product rule: Find the gradient of y = xln x at x = e. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-2-starter-questions-weeks-14-26 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-locating-roots-by-change-of-sign-starter-question-uk-y2-w14-q1.webp A Level Maths Year 2 starter question: Locating roots by change of sign (week 14) A Level Maths Year 2 starter question on Locating roots by change of sign: Show that x³ - 2x - 5 = 0 has a root between x = 2 and x = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-iteration-x-g-x-starter-question-uk-y2-w14-q2.webp A Level Maths Year 2 starter question: Iteration x = g(x) (week 14) A Level Maths Year 2 starter question on Iteration x = g(x): Use x_n+1 = 3√(2x_n + 5) with x_0 = 2 to find x_1 and x_2 to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-newton-raphson-method-starter-question-uk-y2-w14-q3.webp A Level Maths Year 2 starter question: The Newton-Raphson method (week 14) A Level Maths Year 2 starter question on The Newton-Raphson method: Apply the Newton–Raphson method twice to f(x) = x² - 7, starting from x_0 = 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integrating-e-x-1-x-and-trig-functions-starter-question-uk-y2-w15-q1.webp A Level Maths Year 2 starter question: Integrating e^x, 1/x and trig functions (week 15) A Level Maths Year 2 starter question on Integrating e^x, 1/x and trig functions: Find ∫ (e^(2x) + 3/x) dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integrating-e-x-1-x-and-trig-functions-starter-question-uk-y2-w15-q2.webp A Level Maths Year 2 starter question: Integrating e^x, 1/x and trig functions (week 15) A Level Maths Year 2 starter question on Integrating e^x, 1/x and trig functions: Evaluate ∫_0^(π/4) cos 2x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integrating-e-x-1-x-and-trig-functions-starter-question-uk-y2-w15-q3.webp A Level Maths Year 2 starter question: Integrating e^x, 1/x and trig functions (week 15) A Level Maths Year 2 starter question on Integrating e^x, 1/x and trig functions: Evaluate ∫_1⁴ 1/2x dx, giving your answer in the form ln k. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-by-parts-starter-question-uk-y2-w16-q1.webp A Level Maths Year 2 starter question: Integration by parts (week 16) A Level Maths Year 2 starter question on Integration by parts: Find ∫ x e^x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-by-substitution-starter-question-uk-y2-w16-q2.webp A Level Maths Year 2 starter question: Integration by substitution (week 16) A Level Maths Year 2 starter question on Integration by substitution: Use the substitution u = x² + 1 to evaluate ∫_0¹ 2x(x² + 1)⁴ dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-using-partial-fractions-starter-question-uk-y2-w16-q3.webp A Level Maths Year 2 starter question: Integration using partial fractions (week 16) A Level Maths Year 2 starter question on Integration using partial fractions: Evaluate ∫_0¹ 1/((x + 1)(x + 2)) dx, giving your answer as a single logarithm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-trapezium-rule-starter-question-uk-y2-w17-q1.webp A Level Maths Year 2 starter question: The trapezium rule (week 17) A Level Maths Year 2 starter question on The trapezium rule: Use the trapezium rule with 4 strips to estimate ∫_0² √(1 + x²) dx to 3 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-forming-differential-equations-starter-question-uk-y2-w17-q2.webp A Level Maths Year 2 starter question: Forming differential equations (week 17) A Level Maths Year 2 starter question on Forming differential equations: The rate at which a population P grows is proportional to its size. Write this as a differential equation. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-solving-differential-equations-and-modelling-starter-question-uk-y2-w17-q3.webp A Level Maths Year 2 starter question: Solving differential equations & modelling (week 17) A Level Maths Year 2 starter question on Solving differential equations & modelling: Solve dy/dx = 2xy, given y = 3 when x = 0. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-vectors-in-3d-starter-question-uk-y2-w18-q1.webp A Level Maths Year 2 starter question: Vectors in 3D (week 18) A Level Maths Year 2 starter question on Vectors in 3D: Find the distance between A(2, -1, 4) and B(5, 3, -8). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-vectors-in-3d-starter-question-uk-y2-w18-q2.webp A Level Maths Year 2 starter question: Vectors in 3D (week 18) A Level Maths Year 2 starter question on Vectors in 3D: Find the unit vector in the direction of 2i - j + 2k. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-position-vectors-and-geometry-problems-starter-question-uk-y2-w18-q3.webp A Level Maths Year 2 starter question: Position vectors & geometry problems (week 18) A Level Maths Year 2 starter question on Position vectors & geometry problems: OA = i + 2j + 3k, OB = 4i - j + 5k. P lies on AB with AP: PB = 2: 1. Find OP. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-geometric-sequences-and-series-starter-question-uk-y2-w19-q1.webp A Level Maths Year 2 starter question: Geometric sequences & series (week 19) A Level Maths Year 2 starter question on Geometric sequences & series: A geometric sequence has second term 6 and fifth term 162. Find the common ratio, the first term and the sum of the first 5 terms. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-by-parts-starter-question-uk-y2-w19-q2.webp A Level Maths Year 2 starter question: Integration by parts (week 19) A Level Maths Year 2 starter question on Integration by parts: Evaluate ∫_1^e xln x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-composite-functions-starter-question-uk-y2-w19-q3.webp A Level Maths Year 2 starter question: Composite functions (week 19) A Level Maths Year 2 starter question on Composite functions: f(x) = x² - 1 and g(x) = 3/(x + 1), x ≠ -1. Solve fg(x) = 8. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-linearising-data-with-logs-starter-question-uk-y2-w20-q1.webp A Level Maths Year 2 starter question: Linearising data with logs (week 20) A Level Maths Year 2 starter question on Linearising data with logs: For data modelled by y = ab^x, a graph of log_10 y against x is a straight line with intercept 0.3 and gradient 0.2. Find a and b to 3 significant figures. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-hypothesis-testing-for-correlation-starter-question-uk-y2-w20-q2.webp A Level Maths Year 2 starter question: Hypothesis testing for correlation (week 20) A Level Maths Year 2 starter question on Hypothesis testing for correlation: A random sample of 10 pairs of data has product moment correlation coefficient r = 0.62. Test at the 5% level whether there is positive correlation in the population. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-venn-diagrams-starter-question-uk-y2-w20-q3.webp A Level Maths Year 2 starter question: Venn diagrams (week 20) A Level Maths Year 2 starter question on Venn diagrams: P(A) = 0.5, P(B) = 0.4, P(A ∩ B) = 0.15. Find P(A ∪ B) and P(A' ∩ B'). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-mutually-exclusive-and-independent-events-starter-question-uk-y2-w21-q1.webp A Level Maths Year 2 starter question: Mutually exclusive & independent events (week 21) A Level Maths Year 2 starter question on Mutually exclusive & independent events: A and B are independent, P(A) = 0.3, P(B) = 0.5. Find P(A ∪ B). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-conditional-probability-starter-question-uk-y2-w21-q2.webp A Level Maths Year 2 starter question: Conditional probability (week 21) A Level Maths Year 2 starter question on Conditional probability: P(A) = 0.4, P(B) = 0.5, P(A ∪ B) = 0.7. Find P(A | B) and say whether A and B are independent. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-probability-tree-diagrams-starter-question-uk-y2-w21-q3.webp A Level Maths Year 2 starter question: Probability tree diagrams (week 21) A Level Maths Year 2 starter question on Probability tree diagrams: A bag holds 5 red and 3 blue counters. Two are taken without replacement. Find the probability that they are different colours. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-normal-distribution-starter-question-uk-y2-w22-q1.webp A Level Maths Year 2 starter question: The normal distribution (week 22) A Level Maths Year 2 starter question on The normal distribution: X N(50, 4²). Find P(X < 56). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-standardising-and-z-values-starter-question-uk-y2-w22-q2.webp A Level Maths Year 2 starter question: Standardising & z-values (week 22) A Level Maths Year 2 starter question on Standardising & z-values: X N(μ, 5²) and P(X > 40) = 0.1. Find μ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-normal-distribution-starter-question-uk-y2-w22-q3.webp A Level Maths Year 2 starter question: The normal distribution (week 22) A Level Maths Year 2 starter question on The normal distribution: Heights are modelled as N(170, 8²) cm. Find the probability that a person's height is between 160 cm and 180 cm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-normal-approximation-to-the-binomial-starter-question-uk-y2-w23-q1.webp A Level Maths Year 2 starter question: Normal approximation to the binomial (week 23) A Level Maths Year 2 starter question on Normal approximation to the binomial: X B(100, 0.4). Use a normal approximation to find P(X ≤ 45). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-hypothesis-testing-for-a-mean-normal-starter-question-uk-y2-w23-q2.webp A Level Maths Year 2 starter question: Hypothesis testing for a mean (normal) (week 23) A Level Maths Year 2 starter question on Hypothesis testing for a mean (normal): A population has standard deviation 4. A sample of 25 has mean 51.2. Test H_0: μ = 50 against H_1: μ > 50 at the 5% level. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-normal-distribution-starter-question-uk-y2-w23-q3.webp A Level Maths Year 2 starter question: The normal distribution (week 23) A Level Maths Year 2 starter question on The normal distribution: X N(20, 3²). Find a such that P(X > a) = 0.05. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-moments-and-the-turning-effect-starter-question-uk-y2-w24-q1.webp A Level Maths Year 2 starter question: Moments & the turning effect (week 24) A Level Maths Year 2 starter question on Moments & the turning effect: A uniform rod AB of length 4 m and mass 6 kg rests horizontally on supports at A and at C, where AC = 3 m. Find the reactions at the supports. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-moments-and-the-turning-effect-starter-question-uk-y2-w24-q2.webp A Level Maths Year 2 starter question: Moments & the turning effect (week 24) A Level Maths Year 2 starter question on Moments & the turning effect: A force of 20 N acts on a rod at a point 0.5 m from a pivot, at 30^∘ to the rod. Find the moment about the pivot. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-non-uniform-rods-starter-question-uk-y2-w24-q3.webp A Level Maths Year 2 starter question: Non-uniform rods (week 24) A Level Maths Year 2 starter question on Non-uniform rods: A non-uniform rod AB, length 5 m, mass 8 kg, hangs horizontally from vertical strings at A and B. The tension at A is twice the tension at B. How far from A is the centre of mass? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-resolving-forces-in-2d-starter-question-uk-y2-w25-q1.webp A Level Maths Year 2 starter question: Resolving forces in 2D (week 25) A Level Maths Year 2 starter question on Resolving forces in 2D: A particle of mass 2 kg hangs in equilibrium from two strings inclined at 30^∘ and 60^∘ to the horizontal. Find the tensions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-motion-on-inclined-planes-starter-question-uk-y2-w25-q2.webp A Level Maths Year 2 starter question: Motion on inclined planes (week 25) A Level Maths Year 2 starter question on Motion on inclined planes: A particle slides down a rough plane inclined at 30^∘; the coefficient of friction is 0.2. Find its acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-friction-and-the-coefficient-of-friction-starter-question-uk-y2-w25-q3.webp A Level Maths Year 2 starter question: Friction & the coefficient of friction (week 25) A Level Maths Year 2 starter question on Friction & the coefficient of friction: A 5 kg box on a rough horizontal floor (μ = 0.3) is pulled by a horizontal force of 20 N. Find its acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-projectiles-starter-question-uk-y2-w26-q1.webp A Level Maths Year 2 starter question: Projectiles (week 26) A Level Maths Year 2 starter question on Projectiles: A ball is projected horizontally at 12 m s⁻¹ from the top of a 20 m cliff. Find the time it takes to reach the sea and how far from the cliff it lands. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-projectiles-starter-question-uk-y2-w26-q2.webp A Level Maths Year 2 starter question: Projectiles (week 26) A Level Maths Year 2 starter question on Projectiles: A particle is projected from level ground at 20 m s⁻¹ at 30^∘ above the horizontal. Find its time of flight and its range. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-projectiles-starter-question-uk-y2-w26-q3.webp A Level Maths Year 2 starter question: Projectiles (week 26) A Level Maths Year 2 starter question on Projectiles: A particle is projected at 25 m s⁻¹ at angle α above the horizontal, where tanα = 3/4. Find its greatest height above the point of projection. https://alevelmathrevision.com/alevel-frontend/starter-questions-by-week/a-level-maths-year-2-starter-questions-weeks-27-40 2026-09-28 monthly 0.6 https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-friction-and-the-coefficient-of-friction-starter-question-uk-y2-w27-q1.webp A Level Maths Year 2 starter question: Friction & the coefficient of friction (week 27) A Level Maths Year 2 starter question on Friction & the coefficient of friction: A particle rests on a rough plane inclined at 20^∘ and is on the point of slipping. Find the coefficient of friction. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-equilibrium-of-rigid-bodies-starter-question-uk-y2-w27-q2.webp A Level Maths Year 2 starter question: Equilibrium of rigid bodies (week 27) A Level Maths Year 2 starter question on Equilibrium of rigid bodies: A uniform ladder of length 4 m and weight 200 N rests against a smooth vertical wall on rough horizontal ground, at 60^∘ to the ground. Find the friction at the ground and the… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-resolving-forces-in-2d-starter-question-uk-y2-w27-q3.webp A Level Maths Year 2 starter question: Resolving forces in 2D (week 27) A Level Maths Year 2 starter question on Resolving forces in 2D: A particle is in equilibrium under a force of 10 N due east, a force of 8 N due north and a third force F. Find the magnitude of F and its bearing. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-connected-particles-strings-and-pulleys-starter-question-uk-y2-w28-q1.webp A Level Maths Year 2 starter question: Connected particles (strings & pulleys) (week 28) A Level Maths Year 2 starter question on Connected particles (strings & pulleys): Particles of mass 5 kg and 3 kg hang from the ends of a light string over a smooth pulley and are released from rest. Find the acceleration and the tension. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-connected-particles-strings-and-pulleys-starter-question-uk-y2-w28-q2.webp A Level Maths Year 2 starter question: Connected particles (strings & pulleys) (week 28) A Level Maths Year 2 starter question on Connected particles (strings & pulleys): A 3 kg box on a rough horizontal table (μ = 0.2) is joined by a light string over a smooth pulley at the edge to a 2 kg mass hanging freely. Find the acceleration and… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-kinematics-in-2d-with-vectors-starter-question-uk-y2-w28-q3.webp A Level Maths Year 2 starter question: Kinematics in 2D with vectors (week 28) A Level Maths Year 2 starter question on Kinematics in 2D with vectors: A particle starts at (2i - j) m and moves with constant velocity (3i + 4j) m s⁻¹. Find its position after 3 s and its speed. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-variable-acceleration-calculus-in-kinematics-starter-question-uk-y2-w29-q1.webp A Level Maths Year 2 starter question: Variable acceleration (calculus in kinematics) (week 29) A Level Maths Year 2 starter question on Variable acceleration (calculus in kinematics): A particle has velocity v = 3t² - 12t + 5 m s⁻¹. Find its acceleration at t = 3 and its displacement from t = 0 to t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-kinematics-in-2d-with-vectors-starter-question-uk-y2-w29-q2.webp A Level Maths Year 2 starter question: Kinematics in 2D with vectors (week 29) A Level Maths Year 2 starter question on Kinematics in 2D with vectors: A particle has position r = t² i + (4t - 1) j m. Find its velocity and speed at t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-variable-acceleration-calculus-in-kinematics-starter-question-uk-y2-w29-q3.webp A Level Maths Year 2 starter question: Variable acceleration (calculus in kinematics) (week 29) A Level Maths Year 2 starter question on Variable acceleration (calculus in kinematics): A particle starts from rest at the origin with acceleration a = 6t m s⁻². Find its velocity and displacement at t = 2. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-by-parts-starter-question-uk-y2-w30-q1.webp A Level Maths Year 2 starter question: Integration by parts (week 30) A Level Maths Year 2 starter question on Integration by parts: Find ∫ xcos x dx. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-hypothesis-testing-for-a-mean-normal-starter-question-uk-y2-w30-q2.webp A Level Maths Year 2 starter question: Hypothesis testing for a mean (normal) (week 30) A Level Maths Year 2 starter question on Hypothesis testing for a mean (normal): X N(μ, 3²). A sample of 16 has mean 19.2. Test H_0: μ = 20 against H_1: μ ≠ 20 at the 5% level. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-projectiles-starter-question-uk-y2-w30-q3.webp A Level Maths Year 2 starter question: Projectiles (week 30) A Level Maths Year 2 starter question on Projectiles: A particle is projected from the ground at 14 m s⁻¹ at 30^∘ above the horizontal. Find the times when it is 2 m above the ground. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-solving-quadratic-form-trig-equations-starter-question-uk-y2-w31-q1.webp A Level Maths Year 2 starter question: Solving quadratic-form trig equations (week 31) A Level Maths Year 2 starter question on Solving quadratic-form trig equations: Solve 2cos² x + 3sin x = 3 for 0^∘ ≤ x ≤ 360^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-critical-regions-binomial-starter-question-uk-y2-w31-q2.webp A Level Maths Year 2 starter question: Critical regions (binomial) (week 31) A Level Maths Year 2 starter question on Critical regions (binomial): X B(20, p). Find the critical region for a test of H_0: p = 0.25 against H_1: p < 0.25 at the 5% level, and its actual significance level. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-sine-and-cosine-rules-starter-question-uk-y2-w31-q3.webp A Level Maths Year 2 starter question: Sine & cosine rules (week 31) A Level Maths Year 2 starter question on Sine & cosine rules: In triangle ABC, a = 7 cm, b = 5 cm and C = 60^∘. Find the exact length of c. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-exponential-growth-and-decay-models-starter-question-uk-y2-w32-q1.webp A Level Maths Year 2 starter question: Exponential growth & decay models (week 32) A Level Maths Year 2 starter question on Exponential growth & decay models: A car's value is modelled by V = 18 000e^(-0.15t) pounds after t years. Find its value after 4 years, and when it first falls below £9000. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-recurrence-relations-starter-question-uk-y2-w32-q2.webp A Level Maths Year 2 starter question: Recurrence relations (week 32) A Level Maths Year 2 starter question on Recurrence relations: u_n+1 = k u_n + 2, u_1 = 3 and u_3 = 18. Find the possible values of k. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-forming-differential-equations-starter-question-uk-y2-w32-q3.webp A Level Maths Year 2 starter question: Forming differential equations (week 32) A Level Maths Year 2 starter question on Forming differential equations: A cup of tea cools at a rate proportional to the difference between its temperature θ °C and the room temperature of 20 °C. Write a differential equation for θ. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-disproof-by-counter-example-starter-question-uk-y2-w33-q1.webp A Level Maths Year 2 starter question: Disproof by counter-example (week 33) A Level Maths Year 2 starter question on Disproof by counter-example: Show that the statement “n² + n + 41 is prime for every positive integer n” is false. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-area-between-a-curve-and-a-line-starter-question-uk-y2-w33-q2.webp A Level Maths Year 2 starter question: Area between a curve and a line (week 33) A Level Maths Year 2 starter question on Area between a curve and a line: Find the area enclosed between y = x² and y = 2x. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-linear-regression-and-interpretation-starter-question-uk-y2-w33-q3.webp A Level Maths Year 2 starter question: Linear regression & interpretation (week 33) A Level Maths Year 2 starter question on Linear regression & interpretation: The regression line of y on x is y = 2.1 + 0.8x, from data with 10 ≤ x ≤ 30. Estimate y when x = 20, and comment on using it at x = 60. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-partial-fractions-starter-question-uk-y2-w34-q1.webp A Level Maths Year 2 starter question: Partial fractions (week 34) A Level Maths Year 2 starter question on Partial fractions: Express 4/((x - 1)(x + 1)²) in partial fractions. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-r-sin-x-harmonic-form-starter-question-uk-y2-w34-q2.webp A Level Maths Year 2 starter question: The R sin(x±α) harmonic form (week 34) A Level Maths Year 2 starter question on The R sin(x±α) harmonic form: Given 3sin x + 4cos x = 5sin(x + 0.927), find the maximum value of 1/(10 - 3sin x - 4cos x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-hypothesis-testing-with-the-binomial-distribution-starter-question-uk-y2-w34-q3.webp A Level Maths Year 2 starter question: Hypothesis testing with the binomial distribution (week 34) A Level Maths Year 2 starter question on Hypothesis testing with the binomial distribution: X B(12, 0.5). Test H_0: p = 0.5 against H_1: p > 0.5 at the 5% level when x = 10 is observed. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-parametric-differentiation-starter-question-uk-y2-w35-q1.webp A Level Maths Year 2 starter question: Parametric differentiation (week 35) A Level Maths Year 2 starter question on Parametric differentiation: A curve has x = 2t + 1, y = t² - 3t. Find the equation of the tangent at the point where t = 1. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-sum-to-infinity-of-a-geometric-series-starter-question-uk-y2-w35-q2.webp A Level Maths Year 2 starter question: Sum to infinity of a geometric series (week 35) A Level Maths Year 2 starter question on Sum to infinity of a geometric series: A geometric series has first term 40 and sum to infinity 100. Find the common ratio and the third term. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-standardising-and-z-values-starter-question-uk-y2-w35-q3.webp A Level Maths Year 2 starter question: Standardising & z-values (week 35) A Level Maths Year 2 starter question on Standardising & z-values: IQ scores are modelled by N(100, 15²). What proportion of people score above 130? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-inverse-functions-starter-question-uk-y2-w36-q1.webp A Level Maths Year 2 starter question: Inverse functions (week 36) A Level Maths Year 2 starter question on Inverse functions: f(x) = e^(2x) - 1, x ∈ ℝ. Find f⁻¹(x) and state its domain. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-implicit-differentiation-starter-question-uk-y2-w36-q2.webp A Level Maths Year 2 starter question: Implicit differentiation (week 36) A Level Maths Year 2 starter question on Implicit differentiation: Find the gradient of the curve e^y + xy = e at the point (0, 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-equilibrium-of-rigid-bodies-starter-question-uk-y2-w36-q3.webp A Level Maths Year 2 starter question: Equilibrium of rigid bodies (week 36) A Level Maths Year 2 starter question on Equilibrium of rigid bodies: A uniform plank of length 6 m and mass 30 kg rests on two supports, each 1 m from an end. How far beyond a support can a 90 kg person stand before the plank tips? https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-integration-using-partial-fractions-starter-question-uk-y2-w37-q1.webp A Level Maths Year 2 starter question: Integration using partial fractions (week 37) A Level Maths Year 2 starter question on Integration using partial fractions: Evaluate ∫_0¹ (3x + 5)/((x + 1)(x + 3)) dx, giving your answer as a single logarithm. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-the-newton-raphson-method-starter-question-uk-y2-w37-q2.webp A Level Maths Year 2 starter question: The Newton-Raphson method (week 37) A Level Maths Year 2 starter question on The Newton-Raphson method: Use the Newton–Raphson method with x_0 = 1 to find x_1 and x_2 for x³ + x - 3 = 0, giving x_2 to 4 decimal places. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-conditional-probability-starter-question-uk-y2-w37-q3.webp A Level Maths Year 2 starter question: Conditional probability (week 37) A Level Maths Year 2 starter question on Conditional probability: 3% of people have a condition. A test detects it in 95% of people who have it, but also gives a positive result for 10% of people who do not. Find the probability that a person who… https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-solving-differential-equations-and-modelling-starter-question-uk-y2-w38-q1.webp A Level Maths Year 2 starter question: Solving differential equations & modelling (week 38) A Level Maths Year 2 starter question on Solving differential equations & modelling: Solve dy/dx = (y + 1)/x, x > 0, given that the curve passes through (1, 3). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-vectors-in-3d-starter-question-uk-y2-w38-q2.webp A Level Maths Year 2 starter question: Vectors in 3D (week 38) A Level Maths Year 2 starter question on Vectors in 3D: A(1, 0, 2), B(3, 1, 4) and C(2, 3, 1). Find AB, AC and BC, and hence angle BAC to 1 decimal place. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-motion-on-inclined-planes-starter-question-uk-y2-w38-q3.webp A Level Maths Year 2 starter question: Motion on inclined planes (week 38) A Level Maths Year 2 starter question on Motion on inclined planes: A 2 kg particle is pushed up a rough plane inclined at α, tanα = 3/4, μ = 0.5, by a force of 30 N parallel to the plane. Find its acceleration. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-sigma-notation-starter-question-uk-y2-w39-q1.webp A Level Maths Year 2 starter question: Sigma notation (week 39) A Level Maths Year 2 starter question on Sigma notation: Evaluate Σ_r=1²⁰ (3r - 1). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-stationary-points-and-the-second-derivative-starter-question-uk-y2-w39-q2.webp A Level Maths Year 2 starter question: Stationary points & the second derivative (week 39) A Level Maths Year 2 starter question on Stationary points & the second derivative: Find the coordinates of the stationary point of y = xe^(-2x). https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-modelling-assumptions-starter-question-uk-y2-w39-q3.webp A Level Maths Year 2 starter question: Modelling assumptions (week 39) A Level Maths Year 2 starter question on Modelling assumptions: A football is modelled as a particle moving freely under gravity. State two modelling assumptions and one effect of each. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-proof-by-deduction-starter-question-uk-y2-w40-q1.webp A Level Maths Year 2 starter question: Proof by deduction (week 40) A Level Maths Year 2 starter question on Proof by deduction: Prove that the sum of any three consecutive integers is divisible by 3. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-solving-quadratic-form-trig-equations-starter-question-uk-y2-w40-q2.webp A Level Maths Year 2 starter question: Solving quadratic-form trig equations (week 40) A Level Maths Year 2 starter question on Solving quadratic-form trig equations: Solve tan² x - 2tan x - 3 = 0 for 0^∘ < x < 180^∘. https://alevelmathrevision.com/alevel-frontend/img/questions/a-level-maths-year-2-friction-and-the-coefficient-of-friction-starter-question-uk-y2-w40-q3.webp A Level Maths Year 2 starter question: Friction & the coefficient of friction (week 40) A Level Maths Year 2 starter question on Friction & the coefficient of friction: A 4 kg block on rough horizontal ground (μ = 0.25) is pulled by a force P at 30^∘ above the horizontal and is on the point of moving. 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