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 = 0.0017 (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)2 - 42+ 3 (x+4)2 – 16 + 3 (x+4)2 - 13 Completing the Square 3x + 2y = 9 x + y = 4 x2 Simultaneous Equations 2x + 2y = 8 Take away x = 1 y = 3 Midpoints Rule: Signs are same takeaway Signs different add

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