Edexcel GCSE (9-1) Maths:
need-to-know formulae
www.edexcel.com/gcsemathsformulae
Areas
Volumes
l
Rectangle = l × w
h
Cuboid = l × w × h
w
w
l
Parallelogram = b × h
h
Prism = area of cross section
× length
a
cross
section
th
leng
b
r
1
2
h
Triangle = 12 b × h
Cylinder = πr 2 h
h
b
a
1
2
Trapezium = 12 (a + b)h
Volume of pyramid =
1
× area of base × h
3
h
b
Circles
Compound measures
C ir
cu
m
Speed
f
D
speed = distance
time
er
Circumference =
π × diameter, C = πd
en
ce
Circumference =
2 × π × radius, C = 2πr
h
S
T
Centre
Rad
eter
ius
Diam
Density
D
V
Pressure
Pythagoras
F
pressure = force
area
Pythagoras’ Theorem
c
For a right-angled triangle,
a2 + b2 = c2
hyp
xo
A
Trigonometric formulae
Trigonometric ratios (new to F)
o
P
b
a
sin x = opp , cos x o = adj , tan x o = opp
hyp
hyp
adj
M
density = mass
volume
Area of a circle =
π x radius squared A = πr 2
opp
Sine Rule
a = b = c
sin A sin B sin C
adj
Quadratic equations
The Quadratic Equation
The solutions of ax2 + bx + c = 0,
2
where a ≠ 0, are given by x = -b±√(b -4ac)
2a
Cosine Rule a 2 = b 2 + c 2 - 2bc cos A
C
Area of triangle = 12 ab sin C
A
U219
Foundation tier formulae
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b
a
c
Higher tier formulae
B