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Pearson Edexcel GCSE (9-1) Mathematics: need-to-know formulae · PDF file Foundation tier formulae Higher tier formulae Trigonometric formulae Sine Rule = = Cosine Rule a2 = b2 + c2

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    Pearson Edexcel GCSE (9-1) Mathematics: need-to-know formulae

    quals.pearson.com/gcsemathsformulae

    Pythagoras

    For a right-angled triangle, a2 + b2 = c2

    sin xo = , cos xo = , tan xo =

    Quadratic equations

    The solutions of ax2 + bx + c = 0,

    where a ≠ 0, are given by x =

    Circles

    Circumference = π × diameter, C = πd

    Circumference = 2 × π × radius, C = 2πr

    Area of a circle = π x radius squared, A = πr2

    Areas

    Rectangle = l × w

    Parallelogram = b × h

    Triangle = b × h

    Trapezium = (a + b)h

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    Pythagoras’ Theorem

    The Quadratic Equation

    Trigonometric ratios (new to F)

    -b± (b2-4ac) 2a

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    opp hyp

    adj hyp

    opp adj

    Circum ference

    Radius

    Centre

    Diam eter

    b

    a

    adj

    c

    opp hyp

    xo

    w

    l

    b

    a

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    Compound measures

    speed =

    density =

    Volumes

    Cuboid = l × w × h

    Prism = area of cross section × length

    Cylinder = πr 2h

    Volume of pyramid = × area of base × h

    distance time

    mass volume

    Speed

    Density

    Pressure The formula for pressure does not need to be learnt, and will be given within the relevant examination questions.

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    Foundation tier formulae Higher tier formulae

    Trigonometric formulae

    Sine Rule = =

    Cosine Rule a2 = b2 + c2 - 2bc cos A

    Area of triangle = ab sin C

    a sin A

    b sin B

    c sin C

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    A B

    C

    b a

    c

    l

    h

    r

    lengt h

    cross section

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    Original origami artwork: Mark Bolitho Origami photography: Pearson Education Ltd / Naki Kouyioumtzis Ocean image © 123RF: andreykuzmin

    Mathematics: need-to-know formulaeMathematics: need-to-know formulae

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