Factors and multiples, standard form, surds, fractions and percentages, ratio, and upper & lower bounds — the foundation of the whole paper.
Expanding and factorising, indices, rearranging formulae, linear and simultaneous equations, algebraic fractions and inequalities.
Factorising and solving quadratics, the quadratic formula, completing the square, and sketching quadratic graphs.
The nth term of arithmetic and quadratic sequences, straight-line graphs y = mx + c, gradient and intercept, and function notation.
Angle rules, interior and exterior angles of polygons, and the circle theorems with the reasons examiners want to see.
Pythagoras' theorem, SOHCAHTOA, the sine and cosine rules, the area rule, bearings and 3D problems.
Area and perimeter, circles, arcs and sectors, surface area and volume of 3D solids, and similar-shape scale factors.
Averages, grouped data and cumulative frequency, plus probability with tree diagrams — including without-replacement problems.