plumiProof by contradiction: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 1.3 Proof by contradiction, 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 3 questions on Proof by contradiction, as a list
- June 2022, Paper 1, Q12 (4 marks): Prove by contradiction that 3 is the only prime number which is 1 less than a square number. [4]
- June 2019, Paper 3, Q5 (3 marks): A student’s attempt to prove by contradiction that there is no largest prime number is shown below. If there is a largest prime, list all the primes. Multiply a
- June 2018, Paper 3, Q15 (3 marks): It is given in lines 31–32 that the square has the smallest perimeter of all rectangles with the same area. Using this fact, prove by contradiction that among r
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