GCSE Higher Maths Formula Sheet

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