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466·Mathematics · GCSE

Every Percentage
Is a Multiplier

Number and ratio knowledge mat for secondary schools (PDF)

Why a 10% rise followed by a 10% fall leaves you worse off — and how to get back to a price before the sale. Percentages as multipliers; ratio and proportion with a bar model; standard form, bounds, HCF and LCM, and surds; the formulae the DfE says you will not be given; a worked reverse percentage. Ten terms to define, a model answer on two successive reductions, and the misconceptions that cost marks. No photographs: every figure is drawn for the sheet.

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    Preview — first 1 pages

    1 page · 8 sections · 🔒 0 more pages unlock on purchase

    One purchase covers the school that buys it. Print it, copy it, hand it round your department. Not for passing to other schools or uploading anywhere.

    Cover of Every Percentage Is a Multiplier

    One landscape A4 page on one topic, built around one idea a class can hold onto. It carries percentages as multipliers, ratio and proportion, standard form, bounds, HCF and LCM, surds, the formulae you are not given and a worked reverse percentage — then the vocabulary, a worked exam-style answer and the misconceptions that cost marks.

    No photographs, on purpose: there is no archival photograph of a percentage, and a stock image of a calculator would make the sheet worse. Every figure is drawn in code for the sheet — a bar model, a graph, a tree diagram — so nothing on it is licensed from anybody and nothing is AI-generated. Every claim is sourced to the DfE subject content and its Appendix of formulae, and nothing is reproduced from a past paper, a textbook or a specification.

    Sold by subject: all four mathematics sheets for one price. A knowledge organiser stores a unit and is revised from afterwards; this is meant to be on the table while the work is happening.

    Written to
    The DfE GCSE mathematics subject content (DFE-00233-2013) and its Appendix of formulae. No photographs: every figure is drawn in code for the sheet, so nothing on it is licensed from anybody
    Intended for
    mathematics teachers — on the desk during the lesson, not a student revision guide
    Extent
    1 page · 8 sections

    ·Look inside

    Real pages, straight from the PDF

    Click any page to see it full size.

    ·Contents

    All 8 sections

    Taken from the booklet’s own contents page, so the page numbers are the real ones.

    01Percentages are multipliersp1
    02Ratio, and what it comparesp1
    03Powers, form and boundsp1
    04The formulae the dfe says you will not be givenp1
    05Work a reverse percentagep1
    06Glossaryp1
    07Use this matp1
    08Common misconceptionsp1
    Next: Algebra and graphs knowledge mat

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