my set of mathematics

Area of a triangle

Area = (base × height) divided by 2

Area of a rectangle

Area = length × width

Area of a parallelogram

Area = base × height

Area of a trapezium

Area = (top+ bottom line) (× height) divided by 2

Area of a circle

Area = pi × r squared

Circumference of a circle

Circumference = 2 × pi × r or pi × d

Volume of a cube or cuboid

Volume = length × width × height

Volume of a prism

Volume = area of cross-section × length

Pythagoras’ Theorem

a squared + b squared = c squared

Only on right angled triangles

Trigonometric Ratios

sin θ = opposite ÷ hypotenuse, cos θ = adjacent ÷ hypotenuse, tan θ = opposite ÷ adjacent

Speed formula

Speed = Distance divided by Time

Mean

Mean = total of values divided by number of values

Median

Middle value when numbers are in order

Mode

Most frequent value

Range

Highest value − lowest value

Density

Density = Mass divided by Volume

Pressure

Pressure = Force divided by Area

Scale Factor

New length = scale factor × original length

Distance formula

Speed x time

Time

Distance divide by speed

Mass formula

Density x volume

Difference of two squares (a squared - b squared)

(a + b)(a − b) (a and b can be any terms)

Angle sum in a triangle

The sum of interior angles in a triangle is 180°

Angles on a straight line

add up to 180°

Angles around a point

add up to 360°

Base angles of an isosceles triangle

The base angles in an isosceles triangle are equal

Vertically opposite angles

Vertically opposite angles are equal

Interior angle of a polygon

Interior angle = (number of sides− 2) × 180°

Exterior angle of a polygon

Exterior angle = 360° ÷ number of sides