Maths GCSE

Cosine Rule (for finding a side)

a² = b² + c² - 2bc CosA

Cosine Rule (for finding a angle)

Sine Rule (for finding a side)

Sine Rule (for finding a angle)

Pythagoras' Theorem

a² + b² = c²

Area Of a Triangle

½ ab SinC

SOH CAH TOA

Area Of circle

Volume Of Prism

area of cross section × length

Surds

A irrational number, a number which cannot be expressed as a fraction or as a terminating or recurring decimal. It is left as a square root. It can also be a non-cube number left in cube root form and so on.

Prime Factors

Lowest Common Multiple (LCM)

Highest Common Factor (HCF)

BIDMAS

Percentages

Standard Form

(+, −, ×, ÷)

Venn Diagrams

Expanding Brackets

Expanding Brackets 2

Factorising

Inequalities

Quadratic Formula

Polygons

Speed / Distance / Time

Tranformations

Rotation, Reflection, Translation and enlargement

Rotation

Rotational symmetry is where you can turn an object so that it looks exactly the same. The number of positions in which it looks exactly the same gives you its order of symmetry.

Reflection

When an object is transformed by a reflection the object and its image are always the same perpendicular distance from the mirror line.
Perpendicular means 'at right angles to'.
Examples:

Enlargement

When working out enlargements, you will need to know the scale factor and centre of enlargement.
The scale factor tells us by how much the object has been enlarged.
The centre of enlargement tells us where the enlargement is being measured from.

Translation

If we translate an object, we move it up or down or from side to side. But we do not change its shape, size or direction.

Enlargement

Sector of circle

Circle Theorems

3D Shapes (Volumes)

3D Shapes (Surface Area)

Mean

Is the average, add up all the numbers and divide by the number of numbers.

Median

Is the middle value, but them all in order and find the middle one.

Mode

Is the number that occurs the most frequently

Range

The difference between the lowest and the highest number

Tree Diagrams

Histograms