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2fv5d843v9w22sxtto1ibxtu-wpengine.netdna-ssl.com · Created Date: 20170214101729Z
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1 2 1 2 Edexcel GCSE (9-1) Maths: need-to-know formulae www.edexcel.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 W148 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
Transcript of 2fv5d843v9w22sxtto1ibxtu-wpengine.netdna-ssl.com · Created Date: 20170214101729Z
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Edexcel GCSE (9-1) Maths: need-to-know formulae
www.edexcel.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
W148
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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
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Original origami artwork: Mark Bolitho Origami photography: Pearson Education Ltd / Naki KouyioumtzisOcean image © 123RF: andreykuzmin
h
a
b
h
b
h
h
w
