Grade 12

Master circles, tangents, and the distance/midpoint/gradient toolkit — worth ~40 marks in Paper 2.

Master the complete strategy for solving cubic equations — from finding the first factor to the final roots.

Master the Remainder and Factor Theorems from first principles — understand why they work, how to use them to test factors, find remainders, and solve for unknowns with fully worked examples.

Master the Remainder Theorem, Factor Theorem, and solving cubic equations — essential for Paper 1.

Master calculating the period of an investment, outstanding balances, final payments, and comparing financial options.

Master annuities, future value, present value, and interest rate conversions — worth ~15 marks in Paper 1.

Master the derivative, tangent lines, cubic graphs, and optimization — worth 35 marks in Paper 1.

Master the three faces of cos 2θ, the half-angle trick, and when to use each form in proofs and equations.

Master the general solution method — finding every possible angle that satisfies a trigonometric equation.

Master the strategy for proving trig identities — the most common exam question type in Grade 12 Trigonometry.