plumiDisproof by counter-example: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on A.2 Disproof by counter-example, 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 4 questions on Disproof by counter-example, as a list
- June 2025, Paper 3, Q1 (1 mark): A student states that the product of two irrational numbers is always irrational. One of the options is a counter example that shows the student’s statement is
- June 2023, Paper 2, Q10 (6 marks): (a) Expand and simplify (a − b)2 [1 mark] 10 (b) Peter thinks that the sum of any rational number and its reciprocal is always greater than 2 Peter checks two e
- June 2022, Paper 2, Q6 (5 marks): (a) Asif notices that 242 = 576 and 2 + 4 = 6 gives the last digit of 576 He checks two more examples: 272 = 729 292 = 841 2 + 7 = 9 2 + 9 = 11 Last digit 9 Las
- November 2020, Paper 1, Q9 (7 marks): Chloe is attempting to write 2x2 + x (x + 1)(x + 2)2 as partial fractions, with constant numerators. Her incorrect attempt is shown below. Step 1 2x2 + x (x + 1
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