    Prime factorisation Factors and the highest common factor (HCF) The lowest common multiple Negative indices Fractional indices: introduction Fractional indices: next level Surds: introduction Rationalising the denominator: introduction Surds: expanding brackets Rationalising the denominator: next level Expanding single brackets: next level Investigating quadratic sequences nth term of quadratic sequences Ever-increasing rectangles Investigating geometric sequences nth term of geometric sequences Solving ratio problems Overlapping ratios Fractions and ratios Changing ratios Recurring decimals to fractions 3-D Pythagoras and trigonometry Simultaneous equations: introduction Simultaneous equations: equal coefficients Simultaneous equations: non-equal coefficients Creating simultaneous equations Inequality regions introduction Inequality regions next level Equations of parallel lines Equation of a line through two points Rearranging equations into y = mx + c Perpendicular lines introduction Perpendicular lines next level Plotting quadratics and cubics Using graphs to solve equations Equation of a circle The equation of the tangent to a circle Converting units of area and volume Arc length Area of a sector Forming and solving quadratic equations: introduction Forming and solving quadratic equations: fractions Factorising quadratics where a is not equal to 1 Factorising quadratics where a is not equal to 1 continued Forming and solving quadratic equations where a is not equal to 1 The quadratic formula Completing the square: introduction Completing the square: using to solve Completing the square: finale Simultaneous equations involving a quadratic: introduction Simultaneous equations involving a quadratic: next level Sketching quadratics Sine rule: calculating sides Sine rule: calculating angles Cosine rule: calculating sides Cosine rule: calculating angles Area of a triangle: next level Advanced direct proportion: introduction Advanced direct proportion: creating formulae Advanced inverse proportion Two- and three-way proportion