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Here are all the formulas you will ever need to revise for your Maths (Higher) exam :). Credits: https://thirdspacelearning.com/secondary-resources/gcse-maths-additional-resource-formula-booklets/?cbi=5345713919
Area of a rectangle
length x width
Area of trapezium
1/2 x (a+b) x h
Area of a parallelogram
base x height
Area of a triangle
1/2 x base x height
Surface Area of a Cylinder
2πr² + 2πrh
Surface Area of a Cone
πrl + πr²
Surface area of a sphere
4πr²
Volume of a cuboid
length x width x height
Volume of a prism
Area of cross section x length
Volume of a cylinder
πr²h
Volume of sphere
4/3 x πr³
Volume of cone
1/3 x πr²h
Volume of a pyramid
1/3 x area of base x height
Circumference of a circle
2πr or πd
Area of a circle
πr²
Arc Length Formula
θ/360 x πd
Arc Sector Formula
θ/360 x πr²
Pythagorean Theorem
a² + b² = c²
Sin ratio
opposite/hypotenuse
Cos ratio
adjacent/hypotenuse
Tan ratio
opposite/adjacent
Abbreviation for trig ratio
SOHCAHTOA
Exterior angles in a polygon
360 / number of sides
Sum of interior angles
(n
Speed
distance/time
Mass
density x volume
Force
pressure x area
Gradient of a line
y2 - y1/x2-x1
Equation of a line
y = mx + c
Midpoint of a line
(x1+x2/2, y1+y2/2)
Gradient of a line perpendicular to y = mx + c
Percentage change formula
change/original x 100
Compound Growth and Decay Formula
principal x (1 ± r/100)^n
Pie Chart Formula
Frequency / Total x 360
Quadratic Equation
ax² + bx + c
Note
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