# 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 =

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

Trigonometric ratios (new to F)

-b± (b2-4ac) 2a

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opp hyp

Circum ference

Centre

Diam eter

b

a

c

opp hyp

xo

w

l

b

a

h

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.

D

S T

M

D V

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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b

h

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Y036 GCSE Maths A2 Poster ( A4 READY ).indd 1 02/08/2018 12:42

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