AlgebraVery High Exam FrequencyAQAEdexcelOCRWJEC
Proof
Revise Proof in Algebra for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a very high-frequency exam topic, so it is worth revising until the core ideas feel automatic.
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Sample Flashcards
What is a counter-example in mathematics?
A single specific example that shows a statement is NOT always true.
One counter-example is enough to disprove a conjecture.
What are the three steps in an algebraic proof?
1. State what your letters represent (e.g. let n be any integer)
2. Manipulate algebraically (expand, simplify, factorise)
3. Show the result matches the required form with a clear conclusion
Exam questions for Proof
Which expression represents an even number for all integer values of n?
Prove by exhaustion that when you divide any single-digit positive integer by 4, the remainder is always 0, 1, 2, or 3. Show your working by testing all possible cases.
Want more? See all GCSE Mathematics exam questions by paper with full model answers and mark schemes.
14
exam-style questions
12
revision flashcards
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