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Numerical methods: WJEC A‑Level Maths questions

Every WJEC A-Level Maths exam question on P.9 Numerical methods, 2018–2025, with its mark scheme and examiner’s report.

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314 questions

  1. Q4

    Summer 2025 · Unit 3

    6 marksP.8 IntegrationP.9 Numerical methods
    The whole paper ↗
    Summer 2025 Unit 3, question 4:  2 sec x x d 4. (a) Using the trapezium rule with 5 ordinates, find an approximate value for . 0 Show your working and give your answer correct to three decima

  2. Q6

    Summer 2025 · Unit 3

    8 marksP.9 Numerical methodsP.6 Exponentials and logarithms
    The whole paper ↗
    Summer 2025 Unit 3, question 6: ex y  6. The diagram below shows a sketch of the curve with equation and the straight line with y  3 x equation . y x O The straight line intersects the curve

  3. Q1

    Summer 2024 · Unit 3

    11 marksP.2 Algebra and functionsP.8 Integration
    The whole paper ↗
    Summer 2024 Unit 3, question 1: 1. The function f is given by 25 32 x   . f x      2 5 1 2 x  x  x  Express  f x in terms of partial fractions. (a) [4] 2   f x d x  ln P (b

  4. Q8

    Summer 2024 · Unit 3

    7 marksP.9 Numerical methods
    The whole paper ↗
    Summer 2024 Unit 3, question 8: 8. The function f is defined by  3 4 2 3 1 f x  x  x  x  .  f x  0 (a) Show that the equation has a root in the interval [0, 1]. [1] x  0 8  , (b) Us

  5. Q4

    Summer 2023 · Unit 3

    8 marksP.9 Numerical methodsP.2 Algebra and functions
    The whole paper ↗
    Summer 2023 Unit 3, question 4: ( ) is defined by  3 2 f x  6 x  35 x  7 x  6 −∞,∞ 0 4 A function f with domain . ( ) = 0 in the interval [–1, 1]. [2] a) Determine the number of roots of

  6. Q12

    Summer 2019 · Unit 3

    10 marksP.5 TrigonometryP.9 Numerical methods
    The whole paper ↗
    Summer 2019 Unit 3, question 12: A chord AB subtends an angle θ radians at the centre of a circle. The chord divides the 1 2 circle into two segments whose areas are in the ratio 1 : 2. B A θ O

  7. Q17

    Summer 2018 · Unit 3

    6 marksP.9 Numerical methodsP.2 Algebra and functions
    The whole paper ↗
    Summer 2018 Unit 3, question 17: By drawing suitable graphs, show that x – 1 = cosx has only one root. Starting with 1 7 x0 = 1, use the Newton-Raphson method to find the value of this root cor
All 7 questions on Numerical methods, as a list
  1. Summer 2025, Unit 3, Q4 (6 marks):  2 sec x x d 4. (a) Using the trapezium rule with 5 ordinates, find an approximate value for . 0 Show your working and give your answer correct to three decima
  2. Summer 2025, Unit 3, Q6 (8 marks): ex y  6. The diagram below shows a sketch of the curve with equation and the straight line with y  3 x equation . y x O The straight line intersects the curve
  3. Summer 2024, Unit 3, Q1 (11 marks): 1. The function f is given by 25 32 x   . f x      2 5 1 2 x  x  x  Express  f x in terms of partial fractions. (a) [4] 2   f x d x  ln P (b
  4. Summer 2024, Unit 3, Q8 (7 marks): 8. The function f is defined by  3 4 2 3 1 f x  x  x  x  .  f x  0 (a) Show that the equation has a root in the interval [0, 1]. [1] x  0 8  , (b) Us
  5. Summer 2023, Unit 3, Q4 (8 marks): ( ) is defined by  3 2 f x  6 x  35 x  7 x  6 −∞,∞ 0 4 A function f with domain . ( ) = 0 in the interval [–1, 1]. [2] a) Determine the number of roots of
  6. Summer 2019, Unit 3, Q12 (10 marks): A chord AB subtends an angle θ radians at the centre of a circle. The chord divides the 1 2 circle into two segments whose areas are in the ratio 1 : 2. B A θ O
  7. Summer 2018, Unit 3, Q17 (6 marks): By drawing suitable graphs, show that x – 1 = cosx has only one root. Starting with 1 7 x0 = 1, use the Newton-Raphson method to find the value of this root cor

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