plumiThe trapezium rule: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on I.4 The trapezium rule, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 9 questions on The trapezium rule, as a list
- June 2025, Paper 2, Q6 (6 marks): The curve with equation y = e 2 x – 3 is shown in the diagram. x 4 8 y O y = x – 3 x e2 The region shaded is bounded by the curve, the x-axis, and the lines x =
- June 2024, Paper 1, Q16 (5 marks): Figure 2 below shows a 1.5 metre length of pipe. Figure 2 1.5 m The symmetrical cross-section of the pipe is shown below, in Figure 3, where x and y are measure
- June 2023, Paper 1, Q5 (4 marks): The graph of y = 5 ex − 1 is shown in the diagram below. x O 4 1 y The trapezium rule with 6 ordinates (5 strips) is to be used to find an approximation for the
- June 2023, Paper 3, Q2 (1 mark): The trapezium rule is used to estimate the area of the shaded region in each of the graphs below. Identify the graph for which the trapezium rule produces an ov
- June 2022, Paper 1, Q14 (9 marks): The region bounded by the curve y = (2x × 8) ln x and the x-axis is shaded in the diagram below. x 4 1 y 14 (a) Use the trapezium rule with 5 ordinates to find
- November 2021, Paper 2, Q14 (4 marks): A motorised scooter is travelling along a straight path with velocity v m s−1 over time t seconds as shown by the following graph. 20 30 40 0 0 2 4 6 8 10 10 t
- November 2020, Paper 1, Q11 (9 marks): The region R enclosed by the lines x = 1 , x = 6 , y = 0 and the curve y = ln (8 × x) is shown shaded in Figure 3 below. Figure 3 2 R 4 x y 6 0 1 3 5 7 All dist
- November 2020, Paper 2, Q15 (5 marks): A particle is moving in a straight line with velocity v m s−1 at time t seconds as shown by the graph below. 40 60 80 0 0 40 80 120 160 200 20 60 100 140 180 20
- June 2019, Paper 1, Q14 (10 marks): The graph of y = 2x3 x2 + 1 is shown for 0 ≤ x ≤ 4 4 x 0 0 2 4 6 8 y 2 A Caroline is attempting to approximate the shaded area, A, under the curve using the tra
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