HSC Maths Extension 2 is the most demanding mathematics course in the NSW Year 12 curriculum. Students tackling Extension 2 need strong algebra, calculus, and proof skills — plus access to quality worked solutions when usual methods fail.
Core Extension 2 topics
The NESA Extension 2 syllabus covers advanced material including:
- Complex numbers — Argand diagrams, De Moivre's theorem, loci
- Advanced polynomials — roots, complex conjugates, graph features
- Combinatorics — permutations, combinations, binomial identities
- Inequalities — AM-GM, Cauchy-Schwarz, and algebraic techniques
- Mechanics — projectile motion, resisted motion, forces
- Differential equations — first-order ODEs and mathematical modelling
- Harder integration and proof techniques
Free Extension 2 booklets on Vu's Maths Hub
Vu's Maths Hub publishes free HSC Maths booklets with comprehensive worked examples. Browse the full Extension 2 library:
- HSC Complex Numbers
- HSC Combinatorics
- HSC Inequalities
- HSC Mechanics
- HSC Differential Equations
- HSC Polynomials
- HSC Last Resorts — creative techniques for harder problems
Extension 2 past papers and mixed revision
Practise with HSC Collections for mixed-topic Extension 2 questions, or cross-reference shared topics like HSC Integrals, HSC Vectors, and HSC Trigonometry.
Extension 2 worked solutions should show every step — not just the final answer. That is exactly what these NESA-aligned booklets deliver for NSW HSC Mathematics students preparing for 2026.
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