Skip to content
    Mathematics GCSE

    reciprocal

    What reciprocal means in Mathematics GCSE, as defined for AQA, Pearson Edexcel.

    Definitions of reciprocal

    Exam boards and our study guides word this term in slightly different ways. Learn the version your board uses.

    Check what you remember

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

    Reference: Pearson Edexcel

    A number that multiplies the original non-zero number to give 1. For a non-zero fraction a/b, its reciprocal is b/a.
    Pearson Edexcel · Number - Structure and calculation (study guide)
    The inverse fraction obtained by swapping numerator and denominator, for example the reciprocal of 2/5 is 5/2.
    Pearson Edexcel · Ratio, proportion and rates of change (study guide)
    The multiplicative inverse of a non-zero number. The reciprocal of $a/b$ is $b/a$, and their product is 1.
    AQA · Structure and calculation (study guide)
    For a non-zero number a, its reciprocal is $1/a$, the value which multiplies with a to give 1.
    Pearson Edexcel · Number - Structure and calculation (study guide)
    The reciprocal of a number $x$ is $1/x$. Multiplying a number by its reciprocal gives 1.
    AQA · Structure and calculation (study guide)
    The reciprocal of non-zero x is 1/x; multiplying x by 1/x gives 1.
    Pearson Edexcel · Ratio, proportion and rates of change (study guide)

    Topics that use reciprocal

    Related terms

    Using reciprocal 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 GCSE terms