revision

Adding/Subtracting - Find common denominator.

Multiplying - Cancel any terms that you can on top or bottom lines, then multiply numerators together and the denominators together.

Dividing - Turn the fraction upside down and multiply.

• Brackets
• Indices
• Division and Multiplication
• Addition and Subtraction

Area of a Trapezium - 1/2 (a+b)h 

Circle

Circumference of a circle - C= 2

Single brackets

4(2x - 1) = 8x-4

2x(5x-3b) = 10x² - 6xb

Double Brackets

FOIL

First

Outer

Inner

Last

Pythagorus' Theorum

'In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares other two sides.' 

Finding the Hypotenuse

a+b=shorter side.

hypotenuse is always opposite the right angle.

a² + b² = c²

use pythagorus' theorum if it says sides

the 3 trigonometric functions are sine, cosine and tangent (shortened to sin, cos and tan).

• Hypotenuse - opposite the right angle
• Opposite - opposite the angle
• Adjacent - beside the angle

trigonometric ratios

sinθ = opposite/hypotenuse = o/h (soh-sin)

cosθ = adjacent/hypotenuse= a/h (cah-cos)

tanθ = opposite/adjacent= o/a (toa- tan)

use trigonometry if it says angle and sides