plumiAlgebraic proof: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.19 Algebraic proof, 2021–2025, with its mark scheme and examiner’s report.
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All 4 questions on Algebraic proof, as a list
- 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 2023, Paper 1, Q5 (3 marks): Xn and Yn are the nth terms of two sequences. Xn = (n – 1)(n + 1) Yn = (n + 1)(n + 2) Prove that every term of the sequence with nth term Yn – Xn is a multiple
- 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.
- 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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