all the gcse math formula, Schemes and Mind Maps of Mathematics

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Typology: Schemes and Mind Maps

2024/2025

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GCSE Foundation Maths Formula Sheet
Higher ONLY
Foundation
Volume
Cyclinder
= radius, = height
Cylinder
Cuboid
Volume =
Volume = area of cross section x length
Prism
Length
Cross Section
Pie Charts
The angle to draw for each sector is
Angle = x 360°
Frequency
Total
Probability
or and
Straight Lines
Gradient
Equation of a Line
Gradient, intercept
Midpoint 2 points and
Surface Area
= radius, = height
S
urfa
c
e area
=
Cylinder
h
ei
gh
t
len
g
t
h
w
idt
h
Volume = length x width x height
Cir
c
les
= radius, = diameter
Area =
C
ircumference = or Ma
j
o
S
e
gm
ent
Mino
S
e
gm
ent
Centre
S
e
c
tor
R
adius
C
h
ord
Ma
j
or
A
r
c
Minor
A
r
c
D
ia
m
eter
T
an
g
ent
Per
c
entage Change
P
ercentage
change =
D
ifference
O
riginal
Area
R
e
c
tan
g
le
P
arallelo
g
ra
m
Area = length x width
Area =
b
ase x perpendicular height
T
rian
g
le
Area = x
b
ase x height
T
rape
z
iu
m
Area =
Base (b)
Per
p
endi
c
ula
height
(
h
)
height
base
w
idth
(w)
len
g
th
(
l
)
D
ire
c
t and
I
n
v
erse Pro
p
ortion
I
f is directly proportional to then
I
f is in
v
ersely proportional to then
so
so
pf2

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GCSE Foundation Maths Formula Sheet

Higher ONLY

Foundation

Volume

Cyclinder = radius, = height

Cuboid Cylinder

Volume =

Volume = area of cross section x lengthPrism Pie Charts Cross Section Length The angle to draw for each sector is Angle = FrequencyTotal x 360° Probability or and

GradientStraight Lines

Equation of a LineGradient, intercept Midpoint 2 points and

Surface Area

Surfa^ = radius,ce area^ = height=

Cylinder len^ hgeithght width

Volume = length x width x height

Circles

= radius,Area = = diameter Circumference = or^ SeMagmjoentr

MinoS^ r e gm^ ent Centre^ Sector

Chord Radius Minor Arc Major^ ArcDiameter

Tangent

Percentage Change

Pchangeercentage = D Oifferenceriginal

Area

Rectangle

Parallelogram

Area = length x width

Area = base x perpendicular height

Triangle

Area = x base x height

Trapezium

Area =

Base (b)

Per heightpendi c(hula) r

height base

width (w)

length (l)

Direct and Inverse Proportion

If is directly proportional to then If is inversely proportional toso then so

GCSE Foundation Maths Formula Sheet

Pythagoras

Theorem

Cyclinder

Angles in a Polygon

Interior angle + Exterior angle = 180°

Exterior angle = Sum of interior angles =

= number of sides

Trigonometry

Cyclinder

Note: Right angled triangles only

SOH Sin( ) CAH Cos( ) Tan( ) TOA Sin = HypotenuseOpposite Cos = HypotenuseAdjacent Tan = OppositeAdjacent

Compound Measures

F

P x A

Force = Pressure x AreaPressure = Force ÷ Area Area = Force ÷ Area

Distance = Speed x TimeSpeed = Distance ÷ Time Time = Distance ÷ Speed

S DT M

D x V

Mass = Density x VolumeDensity = Mass ÷ Volume Volume = Mass ÷ Density

(The longest side)

Note: Right angled triangles only

is the hypotenuse and are the shorter sides.

Interior E^ Anglexterior

Angle

Compound Growth & Decay

The amount afterpercentage rate of c years (or dayshange is r is, etc), where

Starting Amount