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Pure mathematics: foundations
Quick questions on Proof: deduction, exhaustion, counter-example and contradiction - OCR A-Level Maths A
4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is proof by deduction?Show answer
A deductive proof starts from known facts or definitions and reasons step by step to the result. Each line must follow logically from the previous one. You must prove the statement for the general case, not just check examples.
What is proof by exhaustion?Show answer
Proof by exhaustion splits the problem into a finite number of cases and checks each one. It works only when the cases genuinely cover every possibility.
What is q1?Show answer
Prove by deduction that the product of two even numbers is divisible by . [3 marks]
What is q2?Show answer
Disprove: "for all integers , is odd." [2 marks]
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