plumiLocating roots by change of sign: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 9.1 Locating roots by change of sign, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Locating roots by change of sign, 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 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 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 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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