Skip to content
    Mathematics A-Level

    disproof by counterexample

    What disproof by counterexample means in Mathematics A-Level, as defined for WJEC.

    Definition of disproof by counterexample

    Check what you remember

    Read the wording for your board, then hide it and explain disproof by counterexample in your own words. Rough notes are fine. This is a self-check, with no mark or grade.

    Reference: WJEC

    Disproves a universal conjecture "for all x, P(x)" by exhibiting a single specific value x₀ for which P(x₀) is false.
    WJEC · Proof (AS Unit 1: Pure Mathematics A)

    Topics that use disproof by counterexample

    Related terms

    Using disproof by counterexample in the exam

    Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.

    Practise Mathematics questions

    Create a free account to answer exam-style questions on this topic and get feedback on your answers.

    Start free

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    All Mathematics A-Level terms