If you are studying HSC Maths Extension 1 in New South Wales, you already know the course moves fast. Extension 1 builds on Mathematics Advanced and introduces topics such as trigonometry, polynomials, mathematical induction, vectors, and probability distributions. The key to a strong result is not just doing more questions — it is revising topic by topic with clear worked solutions.
What Extension 1 covers
The NESA HSC Mathematics syllabus for Extension 1 includes:
- Further trigonometry — identities, equations, and inverse functions
- Polynomials — factorisation, remainder theorem, and graph sketching
- Mathematical induction — divisibility, inequalities, and summation proofs
- Vectors — 2D and introductory 3D geometry
- Probability and statistics — distributions, conditional probability
- Calculus — integration techniques and applications
Free Extension 1 revision booklets
Vu's Maths Hub offers free, NESA-aligned HSC Maths booklets you can read online or download. Each booklet focuses on one topic with step-by-step worked examples — a practical HSC tutoring alternative for NSW Year 12 students.
Start with these Extension 1 resources:
- HSC Trigonometry — identities, trig equations, and inverse functions
- HSC Polynomials Extension 1 — factorisation, remainder theorem, polynomial graphs
- HSC Mathematical Induction — proof by induction for inequalities and divisibility
- HSC Vectors — dot product, cross product, and 3D geometry
- HSC Distributions — binomial and normal distributions
- HSC Integrals — integration by parts and volumes of revolution
- HSC Probability — conditional probability and independence
Past paper practice without the paywall
Extension 1 past papers are essential, but worked solutions are not always easy to find. Use HSC Collections for mixed-topic exam-style problems across Advanced and Extension 1, or browse the full library at vumaths.com.
Whether you are in Sydney, regional NSW, or studying remotely, these free HSC Maths revision notes help you prepare for the 2026 HSC and beyond.
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