MathLabOpen in App Store
A-levelProof and reasoning

Proof methods

Deduction, exhaustion, counterexample, and contradiction.

5 lessons11 worksheets33 questions

Lessons

These free MathLab Learn guides are arranged in the order they are most useful for this stage.

  1. 01Mathematical proof
  2. 02Algebraic proof and mathematical reasoning
  3. 03Proof by deduction and exhaustion
  4. 04Disproof by counterexample
  5. 05Proof by contradiction: method and examples

Practise

Practice moves from direct fluency towards application, reasoning and synthesis.

  1. Intro

    Proving and disproving statements

    Step 1 · 1 worksheet · 11 questions

  2. IntroPractice

    Disproof by counterexample

    Step 2 · 3 worksheets · 7 questions

  3. Practice

    Proof by contradiction

    Step 3 · 4 worksheets · 10 questions

  4. PracticeChallenge

    Applied and mixed proofs

    Step 4 · 3 worksheets · 5 questions

Ready to practise?

Open MathLab for native maths input, marking, hints, and worked solutions.

Open in the App Store