MathsYears 12–13Pure Mathematics

Mathematical proof

Construct proofs by deduction, exhaustion and contradiction; disprove by counter-example

What you'll learn

  1. 1

    A proof is a logical chain of reasoning that shows a statement must be true, like a detective solving a case. 🕵️

  2. 2

    Drag the steps into the correct order to prove that the sum of two even numbers is always even. 🧮

  3. 3

    Let's prove that the sum of two odd numbers is even. 📝

  4. 4

    What do we call a statement we assume is true at the start of a proof?

  5. 5

    Prove that the product of an even number and an odd number is always even. 🧪

  6. 6

    Here's another: prove that if n is odd, then n² is odd. 📐

  7. 7

    Which of these is a valid proof that the sum of two even numbers is even?

Practise Mathematical proof with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.