plumiProof by deduction and exhaustion: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 1.1 Proof by deduction and exhaustion, 2018–2025, 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 5 questions on Proof by deduction and exhaustion, as a list
- Summer 2024, AS Unit 1, Q4 (3 marks): n 2 4. Given that n is an integer such that 1 X n X 6, use proof by exhaustion to show that is not divisible by 3. [3]
- Summer 2024, AS Unit 1, Q8 (4 marks): x 10 x 5 x 8. Prove that for all real values of x. [4] !
- Summer 2022, AS Unit 1, Q6 (5 marks): 6 In each of the two statements below, x and y are real numbers. One of the statements is true while the other is false. x2 + y2 x2xy , for all real values of x
- Summer 2019, AS Unit 1, Q5 (3 marks): 5 Given that n is an integer such that 1 X n X 4, prove that 2n2 + 5 is a prime number. [3]
- Summer 2018, AS Unit 1, Q14 (4 marks): 4 In each of the two statements below, c and d are real numbers. One of the statements is true, while the other is false. (2c – d)2 = 4c2 – d 2, for all values
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