Vu's Maths Hub (vumaths.com) is a free online library of HSC Mathematics Extension 1 and Extension 2 booklets, worked examples, exam techniques, and focused practice you can read in your browser. No account or download required.
This post explains which booklets to use, how they fit together, and how to get the most out of them before your exams. The full guide also lives on the main site: How to Use Vu's Maths Hub.
What these booklets are for
These booklets are written for Extension 1 and Extension 2 exam preparation and review. They distil worked examples, common exam techniques, and focused practice.
They are not intended to replace your textbooks or classroom notes.
Use them as a rigorous revision companion:
- Strengthen weak topics with targeted examples
- Practise exam-style questions with full solutions
- Return to your textbook or teacher when you need fuller theory or syllabus breadth
Can you read the booklets in any order?
Yes. Each topic booklet is designed to stand on its own. Read them in whatever order matches what you are revising this week.
- Booklets are linked where topics connect, but nothing locks you into a fixed pathway
- Jump to trigonometry today, mechanics next week, probability the week after
- Come back to your textbook whenever you need more context
Quick start (5 steps)
- Go to vumaths.com and open any booklet from the homepage
- Pick booklets that match your course, Extension 1, Extension 2, or both
- Read topics in any order that suits your study plan
- Follow the suggested prerequisites below when they help (e.g. Differential Equations before Mechanics)
- Move to challenge booklets when you are ready for harder, mixed-topic practice
Extension 1 booklets
These align primarily with HSC Mathematics Extension 1. Several also support Extension 2 or shared Advanced content.
| Booklet | What it covers | Open on Vu's Maths Hub |
|---|---|---|
| HSC Sequences | Arithmetic and geometric series, sigma notation, recurrence relations | Read booklet |
| HSC Trigonometry | Identities, equations, graphs, inverse trig | Read booklet |
| HSC Combinatorics | Counting, permutations, combinations | Read booklet |
| HSC Differential Equations | Basic DE for Ext 1; groundwork for Ext 2 Mechanics, read before Mechanics | Read booklet |
| HSC Functions | Combined function topics for Ext 1 and 2, follow the chapter order inside the booklet | Read booklet |
| HSC Distributions | Discrete and continuous probability distributions | Read booklet |
| HSC Polys Ext 1 | Real-number polynomials, factorisation, graphs | Read booklet |
| HSC Probability | Conditional probability, independence, exam-style questions | Read booklet |
Extension 2 booklets
These target Extension 2 syllabus depth. Extension 1 students may still find Proofs and Induction useful for enrichment.
| Booklet | What it covers | Open on Vu's Maths Hub |
|---|---|---|
| HSC Proofs | Proof structure and strategies, mostly Ext 2; Ext 1 students may find helpful | Read booklet |
| HSC Polynomials | Algebra, roots, complex-number connections, Ext 2 syllabus | Read booklet |
| HSC Induction | Mathematical induction - mostly Ext 2; Ext 1 students may find helpful | Read booklet |
| HSC Inequalities | Classic inequality techniques and results | Read booklet |
| HSC Complex Numbers | Algebra, geometry, modulus–argument form | Read booklet |
| HSC Integrals | Advanced calculus and integration - mostly Ext 2; also useful for Ext 1 integrals | Read booklet |
| HSC Mechanics | Vectors, motion, forces, modelling - read Differential Equations first | Read booklet |
| HSC Vectors | Lines, planes, dot and cross products, 3D geometry | Read booklet |
Challenge and mixed-topic booklets
Once you are comfortable with individual topics, use these for harder, exam-style practice across the course.
| Booklet | What it covers | Open on Vu's Maths Hub |
|---|---|---|
| HSC Collections | Mixed hard problems across topics - mostly Ext 2; Ext 1 students may find them helpful | Read booklet |
| HSC Last Resorts | Investigation-level Ext 2 problems at high difficulty, best for practising Question 16-style questions | Read booklet |
Suggested study tips
Differential Equations before Mechanics, Read HSC Differential Equations before HSC Mechanics. The DE booklet covers basics for Extension 1 and the modelling ideas Mechanics builds on.
Functions chapter order - When you start HSC Functions, follow the sequence of sections inside the booklet. Topics there span both Extension 1 and 2 and build on each other.
Question 16 practice - Use HSC Last Resorts when you want investigation-level Extension 2 problems at the difficulty of a typical HSC Question 16.
Mixed revision - HSC Collections is a strong mid-to-late-year pick when you want hard problems drawn across several topics.
Which course are you studying?
| If you are studying… | Start with… | Then add… |
|---|---|---|
| Extension 1 only | Any Ext 1 booklet above --- in any order | HSC Collections for harder mixed practice |
| Extension 1 + 2 | Ext 1 booklets + shared booklets (Functions, Integrals) | Ext 2 booklets; DE before Mechanics |
| Extension 2 focus | Ext 2 table above | HSC Last Resorts for Q16-level practice |
More on Vu's Maths Hub
- Browse all booklets: vumaths.com
- Full how-to guide: vumaths.com/howto
- FAQ (licensing, access, common questions): vumaths.com/faq
- About the author and mission: vumaths.com/about
- Feedback or questions: vumaths.com/contact
All booklets are free for personal and school use under the CC BY 4.0 licence.
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