Year 11 Proof Worksheets (GCSE) | Printable PDFs
Year 11 Proof worksheets for Year 11 Maths (Key Stage 4, GCSE). Year 11 Proof (ages 15–16) focuses on showing that a mathematical statement is always true, rather than checking individual examples.
Students learn to use algebraic proof to prove statements and they learn to write clear mathematical arguments using algebra and logical steps.
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Common Questions about Year 11 Proof
What is a mathematical proof?
A mathematical proof is a logical argument that shows a statement must always be true, rather than being true for just one example.Why are examples not enough to prove a statement?
Examples can suggest that a statement is true, but a proof is needed to show it works in every possible case.What types of proof appear in GCSE maths?
GCSE students may use algebraic proof, geometric proof and reasoning with odd and even numbers to justify mathematical statements.
Year 11 Proof Common Mistakes
Common Mistake 1
Students sometimes use one or two examples and think this proves a statement. Examples can support an idea, but they do not prove it is always true.Common Mistake 2
Students often forget to define variables clearly. For example, when proving something about even numbers, it helps to write an even number as 2n.Common Mistake 3
Students may not simplify their algebra fully, which can make the final proof unclear. The final line should clearly show why the statement is true.
Proof Worksheets - Free Worksheets Above
Proof (A)
Proof (B)
Proof (B)