plumiDisproof by counter-example: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.01.2 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 6 questions on Disproof by counter-example, as a list
- June 2024, Paper 1, Q3 (8 marks): (a) Find a counterexample to disprove the statement that the product of two prime numbers is always odd. [1] (b) In each of the following cases write one of the
- June 2022, Paper 1, Q2 (6 marks): (a) Given that a and b are real numbers, find a counterexample to disprove the statement that, 2 2 if a 2 b , then a 2 b . [1] (b) A student writes the statemen
- June 2022, AS Paper 2, Q3 (2 marks): Give a counter example to disprove the following statement. If x and y are both irrational then x + is irrational. y [2]
- November 2021, AS Paper 1, Q8 (5 marks): (a) Prove that the following statement is not true. 2p 2 p is a positive integer p [1] & H (b) Prove that the following statement is true. m and n are consecuti
- June 2019, AS Paper 1, Q5 (5 marks): (a) Prove that the following statement is not true. 2 m is an odd number greater than 1 m + is prime. 4 [1] & (b) By considering separately the case when n is o
- June 2018, Paper 2, Q5 (6 marks): Charlie claims to have proved the following statement. “The sum of a square number and a prime number cannot be a square number.” (i) Give an example to show th
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.