GCSE · Algebraic proof

Proofs with squaresExam-style questions

The square-shaped proof toolkit: expanding (an + b)² honestly, reading parity out of 2(…) + 1, difference-of-two-squares shortcuts, and the completed square as an always-positive argument.

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 (n+4)2−n2(n + 4)^2 - n^2 is a multiple of 8 for every integer nn.
    Level 3 · 3 marksTry it