plumiProof by induction: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 1.1 Proof by induction, 2018–2025, with its mark scheme and examiner’s report.
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All 6 questions on Proof by induction, as a list
- Summer 2025, Unit 4, Q2 (20 marks): 2. (a) Using mathematical induction, prove that n cos isin cos isin n n for positive integer values of n. [7] 4 2 Show that cos4 can be writt
- Summer 2025, AS Unit 1, Q5 (11 marks): a b 2 M 2 2 M I, show that a d 5. (a) The matrix M is such that . Given that . [4] c d (b) Prove, by mathematical induction, that n 1
- Summer 2024, AS Unit 1, Q7 (7 marks): 2 n 1 13 8 7. Prove, by mathematical induction, that is a multiple of 7 for all positive integers n. [7]
- Summer 2023, AS Unit 1, Q7 (7 marks): 7. Using mathematical induction, prove that n ⎡ ⎤ = ⎡ 2n 2n–1 × 5n ⎤ 2 5 ⎣⎢ ⎦⎥ ⎣⎢ ⎦⎥ 2n 0 2 0 for all positive integers n. [7]
- Summer 2019, AS Unit 1, Q4 (7 marks): Prove, by mathematical induction, that 9n + 15 is a multiple of 8 for all positive integers n. [7] 4.
- Summer 2018, AS Unit 1, Q2 (6 marks): n ) = 1 ∑ ( ( ) n + 5 ( ) r r + 3 3 n n +1 2. Prove, by mathematical induction, that r=1 for all positive integers n. [6]
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