HCF and LCM, indices, standard form, bounds and surds.
Sharing in ratios, direct and inverse proportion, percentage change and compound interest.
Simplifying, expanding brackets, factorising all types and changing the subject.
Linear and quadratic equations, inequalities and simultaneous equations.
Linear and quadratic nth terms, special sequences and composite and inverse functions.
Gradients, y = mx + c, midpoints, and parallel and perpendicular lines.
Parabolas, cubics, reciprocals, exponentials and circles, and reading real-life graphs.
Angle facts, parallel lines, polygon angles, bearings and geometric reasoning.
Pythagoras, SOHCAHTOA, the sine and cosine rules and the area of a triangle.
Areas, circles and sectors, surface area and volume of solids, and similar shapes.
Translations, reflections, rotations, enlargements and vector geometry.
The circle theorems, constructions with compasses and loci.
Probability rules, tree diagrams with and without replacement, and Venn diagrams.
Averages, statistical diagrams, cumulative frequency, box plots and histograms.