Proof revision
Last updated: 15/11/2023
Contributor: Mary Pepper
A downloadable KS5 worksheet to revise proof with year 12 students. The resource demonstrates how to use counter-conjectures and algebra to prove a conjecture. The resource would also be useful for high-attaining GCSE Higher students.
Worked examples and answers are included.
Sample questions from the resource:
Anusha thinks that when an even number is halved the answer is always even. Is Anusha correct?
Prove that the sum of any 3 consecutive positive integers is a multiple of 3.
Prove that, if the difference of two positive integers is 4, then the difference of their squares is a multiple of 8.
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