plumiNumerical methods: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P3.6 Numerical methods, 2019–2025, with its mark scheme and examiner’s report.
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All 16 questions on Numerical methods, as a list
- June 2025, Pure 3 (P3), Q7 (9 marks): A continuous curve has equation y = e –x2 sin3x 0 x 3 π The curve has a stationary point at the point P. (a) Show, using calculus, that the x coordinate of
- June 2025 (A), Pure 3 (P3), Q2 (7 marks): f (x) = 4x 3 + 2x 2 – 12 The equation f (x) = 0 has a single root α. (a) Show that α lies in the interval [1, 2] (b) Show that the equation f (x) = 0 can be wri
- January 2025, Pure 3 (P3), Q1 (6 marks): f (x) = 2sec x + 6x – 3 0 < x < 2 π The equation f (x) = 0 has a single root α (a) Show that 0.1 < α < 0.2 (b) Show that α is a solution of x = 1 2 – 1 3cos x T
- October 2024, Pure 3 (P3), Q8 (12 marks): H t O Figure 4 The heart rate of a horse is being monitored. The heart rate H, measured in beats per minute (bpm), is modelled by the equation H = 32 + 40e –0.2
- June 2024, Pure 3 (P3), Q8 (10 marks): h x d O Figure 4 Figure 4 is a graph showing the path of a golf ball after the ball has been hit until it first hits the ground. The vertical height, h metres,
- January 2024, Pure 3 (P3), Q2 (6 marks): A curve has equation y = f(x) where f(x) = x x x 4 2 5 4 7 x ∈ (a) Show that the equation f(x) = 0 has a root, α, in the interval [2, 3] (b) Show that the equ
- October 2023, Pure 3 (P3), Q1 (5 marks): A curve has equation y = f (x) where f (x) = x 2 – 5x + e x x ∈ (a) Show that the equation f (x) = 0 has a root, α, in the interval [1, 2] The iterative formu
- June 2023, Pure 3 (P3), Q1 (5 marks): g(x) = x 6 + 2x – 1000 (a) Show that g(x) = 0 has a root α in the interval [3, 4] Using the iteration formula x x x n n 1 6 1 1000 2 3 with (b) (i) find, to 4 d
- January 2023, Pure 3 (P3), Q9 (11 marks): O y P C x Figure 3 Figure 3 shows a sketch of part of the curve C with equation y x x 3 4 0 2 e (a) Find d d y x , giving your answer in simplest form. The po
- October 2022, Pure 3 (P3), Q5 (11 marks): P O t Figure 2 The profit made by a company, £ P million, t years after the company started trading, is modelled by the equation P t t t = − + + + ( )
- January 2022, Pure 3 (P3), Q5 (9 marks): y x O M Q P Figure 1 Figure 1 shows a sketch of part of the curve with equation y = 6 ln(2x + 3) – 1 2 x 2 + 4 x > – 3 2 The curve cuts the negative x‑axis at t
- October 2021, Pure 3 (P3), Q9 (9 marks): O y = f(x) x P y l Figure 3 Figure 3 shows a sketch of part of the curve with equation y = f(x), where f(x) = x(x2 – 4)e - 1 2 x (a) Find f′(x). The line l is t
- June 2021, Pure 3 (P3), Q1 (7 marks): The curve C has equation y = x 2 cos 1 2 x 0 < x π The curve has a stationary point at the point P. (a) Show, using calculus, that the x coordinate
- January 2021, Pure 3 (P3), Q6 (8 marks): f ( ) cos x x x x = 3 0 > (a) Find fʹ(x) (b) Show that the equation fʹ(x) = 0 can be written as x k k x = arctan where k is an integer to be
- October 2020, Pure 3 (P3), Q6 (9 marks): . C1 α O β P x y C2 Figure 3 Figure 3 shows a sketch of curve C1 with equation y = 5e x−1 + 3 and curve C2 with equation y = 10 − x2 The point P lies on C1 and
- January 2020, Pure 3 (P3), Q7 (11 marks): y O P Q R x Figure 3 Figure 3 shows a sketch of part of the curve with equation y = 2 cos 3x – 3x + 4 x > 0 where x is measured in radians. The curve crosses th
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