plumiInequalities: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.17 Inequalities, 2021–2025, with its mark scheme and examiner’s report.
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All 10 questions on Inequalities, as a list
- June 2025, Paper 1, Q23 (5 marks): The diagram shows a trapezium. All lengths are in centimetres. The area of the trapezium is less than 22 cm2 Work out the greatest possible range of values of x
- June 2024, Paper 1, Q13 (4 marks): A garden patio is made from two rectangles. All lengths are in metres. The area of the patio is less than 51 m2 Work out the range of possible values of x. Give
- June 2024, Paper 2, Q2 (2 marks): 5n2 + 2 < 38 Work out all the possible integer values of n. Answer
- June 2023, Paper 1, Q14 (4 marks): Solve x 8 + 3x ⩽ 10 where x is positive. Answer
- June 2023, Paper 2, Q7 (3 marks): Here is a sketch of the curve y = ax2 + bx + c where a, b and c are constants. The curve intersects the x-axis at (–4, 0) and (p, 0) The turning point has x-coo
- June 2022, Paper 1, Q9 (6 marks): (a) A quadratic sequence starts –2 –1 4 13 Work out an expression for the n th term. Answer 9 (b) A different quadratic sequence has n th term n2 + 10n Use an a
- June 2022, Paper 2, Q5 (3 marks): Work out all the negative integer values of x for which 3x2 < 48 Answer
- June 2022, Paper 2, Q11 (2 marks): Here is a right-angled triangle. You are given that a > 5 Use trigonometry to work out the range of values of x. Answer
- November 2021, Paper 1, Q7 (3 marks): Solve 2x2 + 4 > (2x – 3)(x + 1) Answer
- Specimen, Paper 2, Q4 (2 marks): (a) Circle the solution of –3x < –18 x > – 6 x < – 6 x > 6 x < 6 4 (b) Circle the solution of x2 ⩾ 16 x ⩾ – 4 or x ⩽ 4 x ⩽ – 4 or x ⩾ 4 x ⩾ – 4 or x ⩾ 4 x ⩽ – 4
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