GCSE · Algebraic proof

Proving divisibility resultsExam-style questions

The expand–collect–factorise engine: to prove "always a multiple of k", exhibit the expression as k × (whole number) — and say so.

Start practising Read the lesson

13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 3Level 4Level 5
  1. 1
    Prove that the sum of any three consecutive even numbers is a multiple of 6.
    Level 3 · 3 marksTry it