plumiInequalities: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on A22 Inequalities, 2017–2025, with its mark scheme and examiner’s report.
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All 25 questions on Inequalities, as a list
- June 2025, Paper 5, Q4 (3 marks): (a) Solve. 4 x 20 G (a) (b) Show your solution to part (a) on the number line. x 1 2 3 4 5 6 7 8 9
- November 2024, Paper 5, Q16 (7 marks): In the diagram below, the shaded region is a parallelogram. The parallelogram can be identified by four inequalities. Two of the inequalities are y 6 and y x .
- November 2024, Paper 6, Q12 (4 marks): (a) Find all the possible integer values of x that satisfy the inequality 10 1 3 x 2 21 . - G (a) (b) An inequality is shown on the number line below. -7 -6 -5
- June 2024, Paper 5, Q13 (3 marks): Solve the inequality. 2 x 100 0 . - H
- June 2024, Paper 6, Q12 (3 marks): The region R is shown on this grid. y 8 6 4 R 2 x –4 –2 0 2 4 6 8 The region R is defined by three inequalities. The first inequality is given below. Complete t
- November 2023, Paper 4, Q7 (3 marks): x =
- November 2023, Paper 5, Q19 (6 marks): The graph of y x is drawn on the grid. = y 5 4 3 2 1 x 0 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5 The region R satisfies the following inequalities. - y x y 2 y
- June 2023, Paper 5, Q14 (5 marks): The graphs of x 3 and y x are drawn on the grid. = = y 5 4 3 2 1 x -5 -4 -3 -2 -1 0 1 2 3 4 -1 -2 -3 -4 The region R satisfies the following inequalities. 1 - -
- November 2022, Paper 5, Q2 (3 marks): 4 x 3 1 1 . G -
- November 2022, Paper 6, Q15 (8 marks): The region R is shown on this grid. A is the point (0, 3) and B is the point (3, 4.5). y 6 B 4 A R 2 x 0 2 4 6 (a) Show that an equation of the straight line th
- June 2022, Paper 4, Q20 (5 marks): Solve this inequality. 2 x 4 x 12 0 + - G Give your answer using set notation. You must show your working.
- June 2022, Paper 6, Q18 (6 marks): The graph of y 2 x + is drawn on this one centimetre grid. 1 = y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 The region R satisfies
- November 2021, Paper 4, Q12 (5 marks): (a) The region R is shown on this grid. y 12 11 10 9 8 7 R 6 5 4 3 2 1 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Region R is defined by four inequalities. One of
- November 2021, Paper 5, Q7 (5 marks): (a) Solve the inequality. 4 ( x 3 1 ) x - (a) (b) Show your answer to part (a) on the number line. x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
- November 2020, Paper 5, Q17 (5 marks): The graphs of y and y 2 are drawn on the grid. x = = y 6 5 4 3 2 1 x 0 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 The region R satisfies the following inequalities. -
- November 2020, Paper 6, Q2 (4 marks): Solve x 3 4 1 19 . + Show your solution on the number line. x 1 2 3 4 5 6 7
- November 2019, Paper 5, Q18 (6 marks): The graph of y 3 6 13 is drawn on the grid. x + = y 5 4 3 2 1 x -2 -1 0 1 2 3 4 5 -1 -2 -3 -4 -5 The region R satisfies these inequalities. 3 6 13 2 3 y x y x x
- November 2019, Paper 6, Q1 (4 marks): Solve x 3 5 10 . - H Show your solution on the number line. x 1 2 3 4 5 6 7
- June 2019, Paper 4, Q18 (6 marks): Region R satisfies these inequalities. 3 y 2 y x H 9 x y + G By drawing three straight lines on the grid, find and label the region R. y 10 9 8 7 6 5 4 3 2 1 x
- June 2019, Paper 6, Q9 (4 marks): Martha’s solution to the inequality x 8 5 3 x 10 is shown on the number line. + G - x -6 -5 -4 -3 -2 -1 0 1 2 3 4 Is her solution correct? Explain your reasonin
- November 2018, Paper 5, Q14 (5 marks): The diagram shows the lines y 2 x + and x 1 7 4 y 28 . = + = y 8 7 6 5 4 3 2 1 x 0 1 2 3 4 5 The region R satisfies these inequalities. y 2 x + 1 7 x 4 y 28 y 2
- June 2018, Paper 5, Q2 (3 marks): Gemma’s solution to the inequality 3x + 1 2 – 5 is shown on the number line. x –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Is Gemma’s solution correct? Explain your reasoni
- November 2017, Paper 5, Q17 (4 marks): Solve the inequality. 2 x 5 x 6 0 - - G
- November 2017, Paper 6, Q18 (11 marks): The diagram below shows a 1 cm coordinate grid. y 8 7 B 6 5 4 3 2 A 1 x 0 5 6 7 8 1 2 3 4 (a) Find an inequality that defines region A and another inequality th
- June 2017, Paper 5, Q10 (5 marks): (a) Solve the inequality. 3 x 2 2 10 - (a) (b) Solve. 6 x 2 5 4 x + = - (b) x =
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