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AS Unit 1 Pure Mathematics A
Quick questions on Mathematical proof: deduction, exhaustion and counterexample - WJEC A-Level Maths
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 direct or deductive proof chains together known facts and definitions in logically valid steps until you reach the required conclusion. The key skill at this level is to represent the objects generally so that the argument covers every case, not just one example.
What is q1?Show answer
Prove by deduction that the sum of three consecutive integers is divisible by . [3 marks]
What is q2?Show answer
Disprove: "for all real , ". [2 marks]
What is q3?Show answer
Use exhaustion to show that no perfect square ends in the digit . [3 marks]
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