Edexcel IAL P1 June 2024 mark scheme and question paper (WMA11/01)

3 P1 questions like these, with worked solutions

Written and checked by us, not taken from the Pearson paper. Try each one, then tap "Worked solution" to see every step and its marks.

1. Trigonometry · 4 marks

   In triangle $XYZ$, $XY=14$ cm, $YZ=9$ cm and $\mathrm{\angle }X={30}^{\circ }$. Find the two possible values of $\mathrm{\angle }Z$ to 1 decimal place.

   Worked solution

   1. M1 for using the sine rule: $\frac{\sin Z}{14}=\frac{\sin {30}^{\circ }}{9}$.
   2. M1 for calculating $\sin Z=\frac{14\times 0.5}{9}=\frac{7}{9}$.
   3. A1 for the principal acute angle $Z={51.1}^{\circ }$.
   4. A1 for the alternative obtuse angle $Z={180}^{\circ }-{51.1}^{\circ }={128.9}^{\circ }$.

2. Integration · 5 marks

   Given that $f^{\prime }(x)=\frac{6x^3+1}{x^2}$ and $f(1)=4$, find an expression for $f(x)$.

   Worked solution

   1. M1 for splitting the fraction: $f^{\prime }(x)=6x+x^{-2}$.
   2. M1 for integrating to find $f(x)$: $3x^2+\frac{x^{-1}}{-1}+c$.
   3. A1 for simplifying to $f(x)=3x^2-x^{-1}+c$.
   4. M1 for substituting $(1,4)$ to find $c$: $4=3(1{)}^2-(1{)}^{-1}+c⟹4=2+c⟹c=2$.
   5. A1 for the final function $f(x)=3x^2-\frac{1}{x}+2$.

3. Graphs and Transformations · 4 marks

   Show that the line $y=2x-7$ does not intersect the curve $y=x^2-3x+5$.

   Worked solution

   1. M1 for equating the line and the curve: $x^2-3x+5=2x-7$.
   2. M1 for rearranging into a quadratic equation: $x^2-5x+12=0$.
   3. M1 for calculating the discriminant: $b^2-4ac=(-5{)}^2-4(1)(12)=25-48=-23$.
   4. A1 for concluding that since the discriminant is less than zero, there are no real roots, and thus no points of intersection.

More on these topics: Trigonometry · Integration · Graphs and Transformations

What's on this paper

What this paper is like

• Shape: 11 questions, 75 marks in 1 h 30 min (about 1.2 minutes a mark); questions from 3 to 10 marks.
• Biggest question: Q10, 10 marks: curve from its gradient function.
• Marks by main topic: Coordinate Geometry 16, Integration 13, Graphs and Transformations 13, Trigonometry 13, Algebra 12, Differentiation 8.
• More Integration in other sittings: October 2024 Q4 (10 marks), January 2024 Q10 (8 marks), January 2025 Q6 (10 marks).
• Against the other 17 sittings we mapped: more marks on Coordinate Geometry (16 marks here, 7 on average); fewer on Algebra (12 marks here, 17 on average).
• Coverage: every topic on the list came up.
• Calculator: allowed.

WMA11/01: question by question

Labels and topics are ours, read from the WMA11/01 paper (checked 2026-11-01); marks as printed. Tap a number to practise that topic.

1. Q1Integrating powers of x (3 marks) · P1 Integration
2. Q2Indices in terms of m (6 marks) · P1 Algebra
3. Q3Transformations of a curve through points (6 marks) · P1 Graphs and Transformations
4. Q4Two curves that meet: discriminant (6 marks) · P1 Algebra
5. Q5Plan view with a sector in radians (7 marks) · P1 Trigonometry
6. Q6Lines, intersections and a triangle (7 marks) · P1 Coordinate Geometry
7. Q7Cubic with a constant k: tangent and stationary point (8 marks) · P1 Differentiation
8. Q8Sketching a cubic and a transformation (7 marks) · P1 Graphs and Transformations
9. Q9Points A and B: line and perpendicular (9 marks) · P1 Coordinate Geometry
10. Q10Curve from its gradient function (10 marks) · P1 Integration
11. Q11Graph of 12 sin x and its intersections (6 marks) · P1 Trigonometry

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What the examiners said about this paper

Summarised in our own words from the board's examiner report (Examiner Insights).

• WMA11/01: Calculator warning ignored (Q2(ii)); Indices (Q2); Radians (Q11). Official examiner report ↗

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