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1 2 1 2 Pearson Edexcel GCSE (9-1) Mathematics: need-to-know formulae quals.pearson.com/gcsemathsformulae Pythagoras For a right-angled triangle, a 2 + b 2 = c 2 sin x o = , cos x o = , tan x o = Quadratic equations The solutions of ax 2 + 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 = πr 2 Areas Rectangle = l × w Parallelogram = b × h Triangle = b × h Trapezium = (a + b)h 1 2 Pythagoras’ Theorem The Quadratic Equation Trigonometric ratios (new to F) - b± ( b 2 -4ac) 2a 1 2 opp hyp adj hyp opp adj C ir c u m f e r e n c e Radius Centre Diameter b a adj c opp hyp x o w l b a h Compound measures speed = density = Volumes Cuboid = l × w × h Prism = area of cross section × length Cylinder = πr 2 h 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 a 2 = b 2 + c 2 - 2bc cos A Area of triangle = ab sin C a sin A b sin B c sin C 1 2 A B C b a c l h r length cross section 1 3 Original origami artwork: Mark Bolitho Origami photography: Pearson Education Ltd / Naki Kouyioumtzis Ocean image © 123RF: andreykuzmin h a b h b h h w PEUK Y060a

Pearson Edexcel GCSE (9-1) Mathematics: need-to-know formulae · Foundation tier formulae Higher tier formulae Trigonometric formulae Sine Rule = = Cosine Rule a2 = b2 + c2 - 2bc

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Page 1: Pearson Edexcel GCSE (9-1) Mathematics: need-to-know formulae · Foundation tier formulae Higher tier formulae Trigonometric formulae Sine Rule = = Cosine Rule a2 = b2 + c2 - 2bc

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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

12

Pythagoras’ Theorem

The Quadratic Equation

Trigonometric ratios (new to F)

-b± (b2-4ac)2a

12

opphyp

adjhyp

oppadj

Circumference

Radius

Centre

Diameter

b

a

adj

c

opphyp

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

distancetime

massvolume

Speed

Density

PressureThe 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

asin A

bsin B

csin C

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A B

C

b a

c

l

h

r

length

crosssection

13

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

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

h

a

b

h

b

h

h

w

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

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