1. Expanding Single Brackets Quadratic Sequences
Transformations
Ratio
Laws of Indices
3(x+2) + 2(x+4) = 3x+6+2x+8
= 5x + 14
Expanding Single Brackets
Quadratic Sequences
Halve this number to get the a value
2.34 x 104 = 23400
1.7 x 10-3 =
(2x105 ) x (3x103) = 6x108
(8x107 ) ÷ (2x102) = 4x105
52.6 x 107 = 5.26 x 106
Standard Form
(x+2)(x+4) = x2 + 4x + 2x + 8
= x2 + 6x + 8
Expanding Double Brackets
x2 + 6x + 8
Find two numbers which multiply together to give +8 and add together to give +6
i.e. 4x2=8 and 4+2=6
(x+4)(x+2)
Factorising Quadratics
Percentages
Gradients
Inequalities
x2 + 7x + 12 = 0
(x+4)(x+3) = 0
x=-4 x=-3
Solving Quadratics
Compound Interest
Quadratic Formula
Fractions
x2 + 8x + 3
Halve the b value
(x+4)
(x+4)2 –
(x+4)2 - 13
Completing the Square
3x + 2y = 9
x + y = x2
Simultaneous Equations
2x + 2y = 8 Take away
x = 1 y = 3
Midpoints
Rule: Signs are same takeaway
Signs different add

2. Volume and Surface Area of Similar Solids
Trigonometric Ratios
Pythagoras
Sine Rule
Cosine Rule
Circle Parts
Circle Theorems
Angles in the same segment are equal
Angle at the centre is twice the angle at the circumference
Circles
Solids
2D Shapes
A tangent is perpendicular to the radius of a circle
Alternate Segment Theorem.
The length of two tangents from a point are equal
Volume and Surface Area of Similar Solids
Frequency trees
Tree Diagrams
Mean from a table