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The trapezium rule: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 1.09.4 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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481 questions

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  2. Q1

    June 2024 · Paper 1

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  3. Q1

    June 2022 · Paper 1

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  4. Q4

    June 2019 · Paper 3

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  5. Q5

    June 2018 · Paper 3

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All 5 questions on The trapezium rule, as a list
  1. June 2025, Paper 2, Q3 (7 marks): 3 The diagram shows part of the curve with equation y x + , between x = 0 and x = 2. 3 = y 3 2 1 0 x 0 1 2 (a) (i) Use the trapezium rule, with intervals of 0.5
  2. June 2024, Paper 1, Q1 (7 marks): y x O 2 - . x e x 2 The diagram shows part of the curve y = 2 y 2 – x (a) Use the trapezium rule with 4 intervals of equal width to find an estimate for x e d x
  3. June 2022, Paper 1, Q1 (6 marks): y x O 2 The diagram shows part of the curve y x - . 1 = 3 y 2 (a) Use the trapezium rule with 4 intervals to find an estimate for x 1 d x . - 1 Give your answer
  4. June 2019, Paper 3, Q4 (14 marks): y P x O 1 r 2 1 The diagram shows the part of the curve y 3 x sin 2 x for which 0 x = G G . r 2 The maximum point on the curve is denoted by P. (a) Show that th
  5. June 2018, Paper 3, Q5 (13 marks): (i) Use the trapezium rule, with two strips of equal width, to show that 4 = 1 11 x x [5] d 2 . . - 4 2 + 0 (ii) Use the substitution x = u2 to find the exact v

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