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Newton-Raphson method: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on I.3 Newton-Raphson method, 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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426 questions

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  3. Q10

    June 2022 · Paper 1

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  4. Q14

    November 2020 · Paper 1

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  5. Q8

    June 2018 · Paper 1

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All 5 questions on Newton-Raphson method, as a list
  1. June 2025, Paper 1, Q15 (12 marks): A curve has equation y = x2 The point Q has coordinates (3, 2.5) The point P on the curve which is closest to the point Q is shown on the diagram below. x Q (3,
  2. June 2023, Paper 1, Q13 (9 marks): The function f is defined by f (x) = arccosx for 0 × x × a The curve with equation y = f (x) is shown below. O a x 2 2 y 13 (a) State the value of a [1 mark] 13
  3. June 2022, Paper 1, Q10 (12 marks): The diagram shows a sector of a circle OAB. O θ C A B The point C lies on OB such that AC is perpendicular to OB. Angle AOB is y radians. 10 (a) Given the area
  4. November 2020, Paper 1, Q14 (9 marks): The function f is defined by f (x) = 3x x p × 1 where x ≥ 0 14 (a) f (x) = 0 has a single solution at the point x = a By considering a suitable change of sign,
  5. June 2018, Paper 1, Q8 (8 marks): The diagram shows a sector of a circle OAB. C is the midpoint of OB. Angle AOB is y radians. C O θ B A 8 (a) Given that the area of the triangle OAC is equal to

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