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Numerical integration: AQA A‑Level Further Maths questions

AQA A-Level Further Maths past-paper questions on J.1 Numerical integration, 2019–2025, 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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682 questions

  1. Q6

    June 2025 · Paper 1

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  2. Q8

    June 2023 · Paper 1

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  3. Q6

    June 2022 · Paper 2

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  4. Q7

    November 2020 · Paper 2

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All 4 questions on Numerical integration, as a list
  1. June 2025, Paper 1, Q6 (3 marks): Use Simpson’s rule with 5 ordinates to find an approximation to d + ∫ 2 4 0 1 1 x x Give your answer to three decimal places. [3 marks]
  2. June 2023, Paper 1, Q8 (5 marks): The function g is defined by g(x) = esin x (0 × x × 2 ) The diagram below shows the graph of y = g(x) O y x 8 (a) Find the x-coordinate of each of the stationar
  3. June 2022, Paper 2, Q6 (3 marks): The diagram below shows part of the graph of y = f (x) The line TPQ is a tangent to the graph of y = f (x) at the point P a + b 2 , f a + b 2 The points S(a, 0)
  4. November 2020, Paper 2, Q7 (5 marks): The diagram shows part of the graph of y = cos×1 x 0.2 O 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 – 0.2 – 0.2 0.2 0.4 0.6 0.8 1.0 1.2 x y The finite region enclosed by t

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