Factors, LCM, GCD, fractions, decimals and percentages.

Sharing in a ratio, rates, compound proportion, rates of work and mixtures.

Laws of indices and laws of logarithms.

Absolute, relative and percentage error, and bounds.

Areas and perimeters of triangles, quadrilaterals, circles, sectors and segments.

Prisms, pyramids, cones, spheres, frustums and combined solids.

Right-angled triangles, sine and cosine rules, identities and special angles.

Expansion identities, factorisation, completing the square, quadratic formula and the discriminant.

Gradient, equations of lines, distance, midpoint, parallel and perpendicular lines.

Solving and graphing inequalities, and the linear programming method.

Simplifying and rationalising surds.

Arithmetic and geometric progressions, nth term and sums.