Intermediate · 3. Algebraic identities and integer domains
Look for factorisations, ways to eliminate variables and telescoping products (in which most factors cancel); check signs, denominators and whether the answers must be integers, instead of stopping at the first solution.
AMC Australia · Intermediate · Selected Topics
Recognise the clues and choose a suitable method.
Explain each step in the five examples.
Solve real competition problems and spot the mistakes you need to fix.