HSC Maths Extension booklets, all in one place

Arithmetic and geometric series, sigma notation, and recurrence relations.

Identities, trig equations, graphs, and inverse functions.

Counting, permutations, combinations, and classic Extension 2 problems.

First-order ODEs, modelling, and step-by-step Extension 2 solutions.

Transformations, inverses, composition, and function sketching.

Discrete and continuous probability distributions for Extension 1 and 2.

Factorisation, remainder theorem, and polynomial graphs for Ext 1.

Conditional probability, independence, and exam-style questions.

Proof structure, clear reasoning, and worked examples.

Algebra, roots, and graph features for harder polynomial work.

Mathematical induction for inequalities, divisibility, and proofs.

Classic inequality techniques and results for Extension 2.

Algebra, geometry, and modulus–argument form in the complex plane.

Integration techniques and applications with full worked solutions.

Vectors, motion, forces, and mechanics modelling for Extension 2.

Lines, planes, dot and cross products, and 3D geometry.

Mixed-topic problems and solutions across the HSC Maths course.

Harder problems and creative techniques when usual methods stall.