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Advanced Problem Solving Module 3

Working through this module will help you to consolidate your existing knowledge before extending your thinking. For more details about the Advanced Problem Solving programme, READ THIS.


Proof is at the heart of mathematics. This module introduces you to some different proof methods, together with some opportunities for you to have a go at writing your own proofs. Don't expect to write a perfect proof on your first attempt; most formal proofs begin life as a messy outline, which are written up neatly later.
Direct logic
problem
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Direct logic

Age
16 to 18
Challenge level
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Can you work through these direct proofs, using our interactive proof sorters?
A KS5 proof collection
problem

A KS5 proof collection

Age
16 to 18
Challenge level
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Here are a collection of statements to prove, to help you to practise writing out clear mathematical proofs.
Dodgy proofs
problem

Dodgy proofs

Age
16 to 18
Challenge level
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These proofs are wrong. Can you see why?