plumiInequalities: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 2.5 Inequalities, 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 11 questions on Inequalities, as a list
- June 2025, Paper 3, Q12 (7 marks): 3 a x - 12 (a) Show that for the point on the curve where x , 0 as given in line 10. [1] H = a x + (b) Use the equation of the curve given in line 8 to show tha
- June 2024, Paper 3, Q1 (2 marks): Solve the inequality x 1 2 6 - . x [2] 5
- June 2024, AS Paper 2, Q13 (5 marks): 2 13 Determine the range of values of x for which y 4 x 7 x 6 x + is a decreasing function. 8 [5] = + -
- June 2023, AS Paper 2, Q15 (7 marks): A family is planning a holiday in Europe. They need to buy some euros before they go. The exchange rate, y, is the number of euros they can buy per pound. They
- June 2022, AS Paper 1, Q8 (7 marks): A team of volunteers donates cakes for sale at a charity stall. The number of cakes that can be sold y x where y cakes can be sold when the price depends on the
- June 2022, AS Paper 2, Q2 (4 marks): - 2 (a) Factorise x 3 19 x 14 . [2] - 2 (b) Solve the inequality x 3 19 x 14 1 0 . [2] - -
- November 2021, Paper 1, Q3 (5 marks): 3 (a) The diagram shows the line y x + and the curve y 5 8 2 x x . The shaded region is the = = - - finite region between the line and the curve. The curved par
- November 2021, Paper 2, Q3 (3 marks): Draw a number line to show the values of x which belong to the set { : x x 2 } { : x x 1 7 } . [3] H +
- November 2021, AS Paper 1, Q8 (12 marks): In this question you must show detailed reasoning. (a) Use differentiation to find the coordinates of the stationary point on the curve with equation 2 y 2 x 3
- November 2020, AS Paper 2, Q1 (2 marks): Solve the inequality x 2 5 1 6 x - . 3 [2] +
- June 2019, Paper 3, Q1 (6 marks): The function ( )x f is defined for all real x by f ( ) x 3 x 2 . = - 1 (a) Find an expression for f - ( )x . [2] 1 (b) Sketch the graphs of y f ( ) x and y f -
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR MEI A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.