plumiThe modulus function: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.02.9 The modulus function, 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 8 questions on The modulus function, as a list
- June 2025, Paper 3, Q3 (7 marks): (a) Sketch the graph of y x [2] 2 5 on the grid provided in the Printed Answer Booklet. = - (b) Solve the inequality x [2] 2 5 1 . - 1 (c) In this question you
- June 2024, Paper 1, Q8 (7 marks): (a) State the set of values for which x 2 . x [1] (b) You are given that n is an integer such that n 9 . G (i) Find the maximum value of n 2 1 . [1] - (ii) Find
- June 2023, Paper 1, Q5 (8 marks): (a) The function ( )x f is defined for all values of x as ( ) f x ax b , where a and b are positive = - constants. (i) The graph of y f ( ) x + , where c is a c
- June 2022, Paper 3, Q1 (3 marks): Solve the equation x 2 3 9 . [3] - =
- November 2021, Paper 3, Q4 (5 marks): (a) Sketch, on a single diagram, the following graphs. • y x 1 = - k • y , where k is a negative constant [2] = x (b) Hence explain why the equation x x 1 k has
- November 2020, Paper 1, Q9 (9 marks): y x O The diagram shows the graph of y 2 x 3 . = - (a) State the coordinates of the points of intersection with the axes. [2] (b) Given that the graphs of y 2 x
- June 2019, Paper 3, Q3 (7 marks): (a) In this question you must show detailed reasoning. Solve the inequality x 2 2 x 6 . [4] - G - (b) Give full details of a sequence of two transformations nee
- June 2018, Paper 3, Q2 (3 marks): Solve the equation x 2 1 x 3 . [3] - = +
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