A Level Math RevisionEnd-of-year maths quiz for A Level Maths
A five-round team quiz on the whole year for the last lesson of term: five questions in each round, getting harder, with every answer worked out. Read it aloud, print it, or play it on the projector as a Jeopardy board with team scores.
- Level
- A Level Maths (Year 12 and Year 13)
- Time
- 40 minutes, plus a 5-minute extension
- Topics
- Algebra and functions; Coordinate geometry; Trigonometry; Calculus; Statistics
- Equipment
- No calculator needed.
Suggested timings
| Part | Time | What |
|---|---|---|
| Starter | 5 min | Quick questions on the board |
| Main: round 1 | 7 min | Algebra |
| Main: round 2 | 7 min | Coordinate geometry |
| Main: round 3 | 7 min | Trigonometry |
| Main: round 4 | 7 min | Calculus |
| Main: round 5 | 7 min | Statistics |
| Extension | 5 min | Fast finishers or homework |
Starter (5 minutes)
Warm-up while teams get settled.
- Work out 6 × 7.
- Work out √81.
Main activity (35 minutes)
Opens these five rounds on our Jeopardy board for teams (teacher sign-in): pick a round and a points value, reveal the answer, award the points.
Round 1: Algebra (7 min)
Five questions, getting harder.
- Simplify √50.
- Solve 32x = 81.
- Find the remainder when x3 + 2x − 1 is divided by (x − 1).
- Find the discriminant of 2x2 + 3x − 5.
- Solve |x − 3| = 5.
Round 2: Coordinate geometry (7 min)
Five questions, getting harder.
- Find the gradient of 3x + 2y = 6.
- Find the centre and radius of (x − 2)2 + (y + 1)2 = 25.
- Find the midpoint of (1, 4) and (7, −2).
- Find the gradient of a line perpendicular to y = 4x − 1.
- A line passes through (2, 3) and is perpendicular to y = 2x + 1. Find its y-intercept.
Round 3: Trigonometry (7 min)
Five questions, getting harder.
- Write down sin(π/6).
- Convert 135° to radians.
- Solve tan x = 1 for 0° ≤ x < 360°.
- Write down the exact value of cos 30°.
- Find the area of a sector of radius 4 cm and angle 1.5 radians.
Round 4: Calculus (7 min)
Five questions, getting harder.
- Differentiate 5x3.
- Find ∫ 4x3 dx.
- Find the x-coordinate of the stationary point of y = x2 − 8x + 3.
- Evaluate ∫13 2x dx.
- Differentiate e3x.
Round 5: Statistics (7 min)
Five questions, getting harder.
- X ~ B(20, 0.3). Find E(X).
- Find the mean of 2, 4, 6, 8.
- P(A) = 0.4 and P(B | A) = 0.5. Find P(A ∩ B).
- Z ~ N(0, 1). Write down P(Z < 0).
- X ~ B(4, 0.5). Find P(X = 4).
Extension (5 minutes)
If two teams are level at the end.
- Tie-break, closest wins: how many seconds are there in a week?
For teachers
Teacher notes and full worked answers
- How to run it: teams of three or four with a mini whiteboard. Read each question out (or use ‘Play it on the projector’ above for a Jeopardy board with team scores). Questions get harder through each round: 1 point for question 1 up to 5 points for question 5, or use the board’s 100 to 500.
- Tie-break: every team writes one estimate; the closest wins.
Starter
- 42
- 6 × 7 = 42
- 9
- 9 × 9 = 81
Round 1: Algebra
- 5√2
- √25 × √2
- x = 2
- 2x = 4
- 2
- f(1) = 1 + 2 − 1
- 49
- 9 + 40
- x = −2 or x = 8
- x − 3 = ±5
Round 2: Coordinate geometry
- −3/2
- y = −3x/2 + 3
- Centre (2, −1), radius 5
- Compare with (x − a)2 + (y − b)2 = r2
- (4, 1)
- (8/2, 2/2)
- −1/4
- The negative reciprocal of 4
- 4
- y − 3 = −½(x − 2)
- y = −½x + 4
Round 3: Trigonometry
- 1/2
- Standard value
- 3π/4
- 135 × π/180
- 45° and 225°
- tan has period 180°.
- √3/2
- Standard value
- 12 cm2
- ½ × 16 × 1.5 = 12
Round 4: Calculus
- 15x2
- Power rule
- x4 + c
- Reverse the power rule.
- 4
- 2x − 8 = 0
- 8
- 9 − 1
- 3e3x
- Chain rule
Round 5: Statistics
- 6
- np = 6
- 5
- 20 ÷ 4
- 0.2
- 0.4 × 0.5
- 0.5
- The curve is symmetric about 0.
- 1/16
- 0.54
Extension
- 604 800
- 60 × 60 × 24 × 7 = 604 800
The same answers are in the answers PDF. Every answer was recomputed by computer before publishing.
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