plumiNumerical methods: OCR MEI A‑Level Maths questions
Every OCR MEI A-Level Maths exam question on P.9 Numerical methods, 2018–2025, with its mark scheme and examiner’s report.
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All 13 questions on Numerical methods, as a list
- June 2025, Paper 3, Q5 (10 marks): 2x 5 The diagram shows the curve with equation y x , for values of x close to zero. = - y x O (a) In this question you must show detailed reasoning. 4 - x Show
- June 2025, Paper 3, Q6 (3 marks): The diagram shows the curve with equation y f ( ) x , where ( ) f x 13 x 34 ln ( ) x 1 5 . for = = - - x 0 . 2 y 5 4 3 2 1 0 x 0 1 2 3 4 5 (a) A student attempt
- June 2024, Paper 3, Q9 (6 marks): 4 9 This question is about the equation ( )x f 0 , where ( )x f x x - . = = - - 3 x 2 Fig. 9.1 shows the curve y f ( ) x . = Fig. 9.1 y x O (a) Show, by calcula
- June 2024, Paper 3, Q11 (8 marks): Fig. 11.1 shows the curve with equation y g ( ) x where ( ) g x x sin x cos x and the curve of the = = + gradient function y g ( ) x for 2 x 2 . = l - r r G G F
- June 2022, Paper 2, Q14 (8 marks): 14 Fig. 14.1 shows the curve with equation y , together with 5 rectangles of equal width. = 2 1 x + y 1.2 A B 1.0 C 0.8 D E 0.6 F 0.4 0.2 x 0 0.1 0.2 0.3 0.4 0.
- June 2022, Paper 3, Q10 (5 marks): In this question you must show detailed reasoning. 4 x ( x ) - r Fig. C2.2 indicates that the curve y sin x has a stationary point near x = . 3 = - 2 r • Verify
- November 2021, Paper 1, Q8 (12 marks): e x 8 Kareem wants to solve the equation sin x 4 0 75 . 0 . He uses his calculator to create the - + + = e x following table of values for ( ) f x sin 4 x 0 75
- November 2020, Paper 1, Q8 (7 marks): Fig. 8.1 shows the cross-section of a straight driveway 4 m wide made from tarmac. 4m Fig. 8.1 0 2 . The height h m of the cross-section at a displacement x m f
- November 2020, Paper 2, Q10 (9 marks): In this question you must show detailed reasoning. The equation of a curve is sin 2 x - . x y = x sin x (a) Use the small angle approximation given in the list
- November 2020, Paper 3, Q5 (11 marks): Fig. 5 shows part of the curve y = cosec x together with the x- and y-axes. y x O Fig. 5 (a) For the section of the curve which is shown in Fig. 5, write down (
- June 2019, Paper 1, Q14 (8 marks): Fig. 14 shows a circle with centre O and radius r cm. The chord AB is such that angle AOB x radians . The area of the shaded segment formed by AB is 5% of the a
- June 2019, Paper 2, Q11 (8 marks): 11 Fig. 11 shows the graph of y x 4 x x ln x . = - + y 8 6 4 2 x 0 2 4 6 –2 Fig. 11 (a) Show that the x-coordinate of the stationary point on the curve may be f
- June 2018, Paper 1, Q2 (2 marks): x 3 2 x [2] By considering a change of sign, show that the equation e 5 0 has a root between 0 and 1. - =
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