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Numerical integration: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 6.1 Numerical integration, 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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  1. Q1

    June 2025 · Further Pure 1

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  2. Q1

    June 2024 · Further Pure 1

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  3. Q1

    June 2023 · Further Pure 1

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  4. Q2

    November 2020 · Further Pure 1

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  5. Q1

    June 2019 · Further Pure 1

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All 5 questions on Numerical integration, as a list
  1. June 2025, Further Pure 1, Q1 (6 marks): (a) Given that y = e cosec2x complete the table below with the value of y corresponding to x = 2, giving your answer to 2 decimal places. x 1.5 1.75 2 2.25 2.5
  2. June 2024, Further Pure 1, Q1 (5 marks): (a) Given that y x ln 3 2 complete the table with the value of y corresponding to x = 3, giving your answer to 4 significant figures. x 2 2.5 3 3.5 4 4.5 5 y 1.
  3. June 2023, Further Pure 1, Q1 (5 marks): (a) Use Simpson’s rule with 4 intervals to find an estimate for e d sin2 0 2 x x Give your answer to 3 significant figures. (4) Given that e d sin2 0 2 x x = 3.
  4. November 2020, Further Pure 1, Q2 (6 marks): y 3 1 −1 O x Figure 1 Figure 1 shows a sketch of the vertical cross-section of the entrance to a tunnel. The width at the base of the tunnel entrance is 2 metre
  5. June 2019, Further Pure 1, Q1 (5 marks): Use Simpson’s rule with 4 intervals to estimate e d x x 2 0 4 2 .∫ (5)

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