plumiInequalities: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 2.5 Inequalities, 2010–2025, 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 Inequalities, as a list
- June 2025, AS Pure, Q2 (5 marks): The line l passes through the points A (–3, 0) and B 5 2 22 , (a) Find the equation of l giving your answer in the form y = mx + c where m and c are constant
- June 2025, AS Pure, Q4 (6 marks): The circle C has equation x 2 + y 2 + 10x – 4y + 1 = 0 (a) Find (i) the coordinates of the centre of C (ii) the exact radius of C (3) The line with equation y =
- June 2023, Pure 1, Q10 (9 marks): A circle C has equation x 2 + y 2 + 6kx – 2ky + 7 = 0 where k is a constant. (a) Find in terms of k, (i) the coordinates of the centre of C (ii) the radius of C
- June 2023, AS Pure, Q4 (5 marks): (a) Sketch the curve with equation y k x x 0 where k is a positive constant. (2) (b) Hence or otherwise, solve 16 2 x (3)
- June 2023, AS Pure, Q6 (5 marks): The circle C has equation where k is a constant. (a) Find the coordinates of the centre of C. (2) Given that C does not cut or touch the x-axis, (b) find the ra
- June 2023, AS Pure, Q8 (5 marks): O R C l 6 (10, 80) 60 y x Figure 3 Figure 3 shows a sketch of a curve C and a straight line l. Given that • C has equation y x f where f (x) is a quadratic expr
- November 2021, AS Pure, Q1 (3 marks): In this question you should show all stages of your working. Solutions relying on calculator technology are not acceptable. Using algebra, solve the inequality
- November 2020, Pure 1, Q7 (5 marks): y x O l C R 25 (−2, 13) Figure 1 Figure 1 shows a sketch of a curve C with equation y = f (x) and a straight line l. The curve C meets l at the points (−2, 13)
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