plumiNumerical methods: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on J Numerical methods, 2019–2025, with its mark scheme and examiner’s report.
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All 8 questions on Numerical methods, as a list
- 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]
- June 2025, Paper 2, Q6 (3 marks): A curve passes through the point ( ) 2, k , where 1 k > The curve satisfies the differential equation 2 d 3 d y x y x xy − = Using Euler’s step by step method o
- June 2024, Paper 2, Q9 (4 marks): A curve passes through the point (–2, 4.73) and satisfies the differential equation dy dx = y2 – x2 2x + 3y Use Euler’s step by step method once, and then the m
- 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
- 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)
- June 2022, Paper 2, Q9 (14 marks): (a) A curve passes through the point (5, 12.3) and satisfies the differential equation dy dx = (x2 − 9) 1 2 + 2xy x2 − 9 x > 3 Use Euler’s step by step method o
- November 2021, Paper 1, Q8 (6 marks): A particle of mass 4 kg moves horizontally in a straight line. At time t seconds the velocity of the particle is v m s−1 The following horizontal forces act on
- 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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