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Numerical methods: Edexcel A‑Level Maths questions

Every Edexcel A-Level Maths exam question on P.9 Numerical methods, 2019–2025, with its mark scheme and examiner’s report.

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447 questions

  1. Q3

    June 2024 · Pure 1

    The whole paper ↗
    June 2024 Pure 1, question 3: f(x) = 1 3 tan 2 2 π x x π x      < < Given that the equation f(x) = 0 has a single root α (a) show that α lies in the interval [3.6, 3.7] (2) (b) Find f′(
  2. Q6

    June 2024 · Pure 2

    The whole paper ↗
    June 2024 Pure 2, question 6: O y = f(x) y = g(x) x y Figure 1 Figure 1 shows a sketch of the curves with equations y = f(x) and y = g(x) where f(x) = e 4x2 – 1 x > 0 g(x) = 8 ln x x > 0 (a)
  3. Q6

    June 2022 · Pure 2

    The whole paper ↗
    June 2022 Pure 2, question 6: y x O α P Figure 2 Figure 2 shows a sketch of part of the curve with equation y = f(x) where f(x) = 8 sin 1 2 x     − 3x + 9 x > 0 and x is measured in ra
  4. Q4

    November 2021 · Pure 1

    The whole paper ↗
    November 2021 Pure 1, question 4: The curve with equation y = f (x) where f (x) = x2 + ln (2x2 − 4x + 5) has a single turning point at x = α (a) Show that α is a solution of the equation 2x3 − 4
  5. Q2

    June 2019 · Pure 1

    The whole paper ↗
    June 2019 Pure 1, question 2: y x O Figure 1 Figure 1 shows a plot of part of the curve with equation y = cos x where x is measured in radians. Diagram 1, on the opposite page, is a copy of
  6. Q11

    June 2019 · Pure 2

    The whole paper ↗
    June 2019 Pure 2, question 11: y x C O Figure 8 Figure 8 shows a sketch of the curve C with equation y = x x , x 0 (a) Find, by firstly taking logarithms, the x coordinate of the turning poin
All 6 questions on Numerical methods, as a list
  1. June 2024, Pure 1, Q3 (6 marks): f(x) = 1 3 tan 2 2 π x x π x      < < Given that the equation f(x) = 0 has a single root α (a) show that α lies in the interval [3.6, 3.7] (2) (b) Find f′(
  2. June 2024, Pure 2, Q6 (7 marks): O y = f(x) y = g(x) x y Figure 1 Figure 1 shows a sketch of the curves with equations y = f(x) and y = g(x) where f(x) = e 4x2 – 1 x > 0 g(x) = 8 ln x x > 0 (a)
  3. June 2022, Pure 2, Q6 (7 marks): y x O α P Figure 2 Figure 2 shows a sketch of part of the curve with equation y = f(x) where f(x) = 8 sin 1 2 x     − 3x + 9 x > 0 and x is measured in ra
  4. November 2021, Pure 1, Q4 (9 marks): The curve with equation y = f (x) where f (x) = x2 + ln (2x2 − 4x + 5) has a single turning point at x = α (a) Show that α is a solution of the equation 2x3 − 4
  5. June 2019, Pure 1, Q2 (5 marks): y x O Figure 1 Figure 1 shows a plot of part of the curve with equation y = cos x where x is measured in radians. Diagram 1, on the opposite page, is a copy of
  6. June 2019, Pure 2, Q11 (11 marks): y x C O Figure 8 Figure 8 shows a sketch of the curve C with equation y = x x , x 0 (a) Find, by firstly taking logarithms, the x coordinate of the turning poin

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