plumiExpanding brackets: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.6 Expanding brackets, 2021–2025, with its mark scheme and examiner’s report.
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All 14 questions on Expanding brackets, as a list
- June 2025, Paper 1, Q5 (3 marks): Here is a sketch of y = x2 + bx + c The graph passes through (–1, 0) and (5, 0) Work out the values of b and c. b = c =
- June 2025, Paper 1, Q15 (3 marks): (x – 3)(x + 4)(x + p) ≡ x3 + qx2 + rx + 24 Work out the values of p, q and r. p = q = r =
- June 2025, Paper 2, Q8 (3 marks): k is a positive integer. Prove that 4k(k + 8) – (4k + 9)(k – 1) is a multiple of 9
- June 2024, Paper 2, Q13 (3 marks): Expand and simplify fully (3x – 1)(4 – x)(2x + 5) Answer
- June 2023, Paper 2, Q11 (4 marks): Expand and simplify fully (2x3 – 9)(3x2 + 4) + x(x – 4)2 Answer
- June 2022, Paper 1, Q5 (3 marks): x a x x x b + − ≡ − + 2 (3 )(5 4) 15 2 Work out the values of a and b. a = b =
- June 2022, Paper 2, Q6 (3 marks): Prove algebraically that when n is an integer + n n − − 2 2 2 1 2 1 4 ( ) ( ) is always even.
- June 2022, Paper 2, Q19 (3 marks): Expand and simplify fully (3x + 4)(2x – 3)(5x – 2) Answer
- November 2021, Paper 1, Q7 (3 marks): Solve 2x2 + 4 > (2x – 3)(x + 1) Answer
- November 2021, Paper 1, Q9 (3 marks): Expand and simplify fully (2x – 5)(3x – 4)(x + 2) Answer
- November 2021, Paper 2, Q1 (3 marks): Expand and simplify 5(2x – 1) + 4(11 – x) Give your answer in the form a(bx + c) where a, b and c are integers greater than 1 Answer
- November 2021, Paper 2, Q11 (3 marks): Expand and simplify fully (5x + 3y2)(4x – y2) Answer
- Specimen, Paper 1, Q3 (4 marks): 3a(2x – 1) + 4(ax + 5) ≡ 60x + b Work out the values of a and b.
- Specimen, Paper 2, Q21 (4 marks): Show that (2n + 3)3 + n3 is divisible by 9 for all integer values of n.
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