HSC Year 11-12 Mathematics Practice
Use this page for HSC Maths practice questions, senior secondary revision, and topic-based exam preparation. Skill Align practice includes student-readable questions, explanations, exercise mode, and test mode for parents comparing Australian senior subject coverage.
Start with free HSC Maths sample questions.
Skill Align lets students practise by pathway, unit, topic, and subtopic before deciding whether to subscribe.
No account is needed for sample questions. Create an account only when you want full topic-based practice access.
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Mathematics Standard
Mathematics Advanced
Mathematics Extension 1
Practice-question guides for this subject or course
Open the matching year and course guide for practice topics, sample questions, and the path into monthly Online Practice.
Senior Mathematics exam-pack add-ons
These courses currently have released exam packs. Use the sample links above, then review the matching pack when the student needs additional exam preparation. Exam packs are optional one-off PDF add-ons purchased separately from monthly Online Practice.
Mathematics Advanced
Exam papers, worked solutions, marking guides, and diagnostic checklists.
Mathematics Extension 1
Exam papers, worked solutions, marking guides, and diagnostic checklists.
Mathematics Extension 2
Exam papers, worked solutions, marking guides, and diagnostic checklists.
HSC Maths practice questions by pathway
Parents and students can use this section to compare HSC Maths practice questions before opening sample demos or scanning the curriculum table below.
HSC Maths practice questions
Covers NSW HSC Mathematics Standard, Advanced, Extension 1, and Extension 2 pathways across functions, calculus, statistics, probability, measurement, finance, networks, and proof.
Topic and subtopic coverage
Scan the table below to compare the pathways, topics, and subtopics used for Skill Align practice and revision.
Sample question demos
Use the practice buttons near the top of the page to open public sample-question demos without creating a student session.
Year 11 and Year 12 planning
Compare Year 11 Preliminary and Year 12 HSC coverage so practice can match the student's current course stage.
HSC Mathematics is structured as a Year 11 Preliminary course followed by the Year 12 HSC course, where final external assessments are completed.
This structure is aligned with publicly available NESA Mathematics 11–12 syllabus information (2024), implemented from 2026 for Year 11 and first examined from the 2027 HSC.
Mathematics Extension 1 builds on Advanced content, while Mathematics Extension 2 is a Year 12 HSC course.
This page focuses on NSW senior mathematics pathways so Preliminary and HSC topic progression can be compared without mixing Standard, Advanced, and Extension difficulty.
Senior Mathematics practice is organised by state framework. The HSC pathways below are structured as Year 11 (Preliminary) and Year 12 (HSC).
Practice topics and coverage
Practise a topic, work through guided and independent questions, try mixed revision, and revisit difficulties.
Explore the topics below and open sample questions to preview the practice available.Year 12 · Standard 1
2024 syllabus · HSC 2027 onwards · Syllabus focus area- Algebraic Relationships
- Investment
- Depreciation and Loans
- Right-Angled Triangles
- Ratios and Rates
- Bivariate Data Analysis
- Relative Frequency and Probability
Year 12 · Standard 2
2024 syllabus · HSC 2027 onwards · Syllabus focus area- Algebraic Relationships
- Investment and Loans
- Annuities
- Trigonometry
- Ratios and Rates
- Network Flow
- Critical Path Analysis
- Bivariate Data Analysis
- Relative Frequency and Probability
- The Normal Distribution
Year 12 · Advanced
2024 syllabus · HSC 2027 onwards · Syllabus focus area- Further graph transformations and modelling
- Sequences and series
- Differential calculus
- Integral calculus
- Applications of calculus
- Random variables
- Financial mathematics
Year 12 · Extension 1
2024 syllabus · HSC 2027 onwards · Syllabus focus area- Proof by mathematical induction
- Introduction to vectors
- Inverse trigonometric functions
- Further calculus skills
- Further applications of calculus
- The binomial distribution and sampling distribution of the mean
Year 12 · Extension 2
2024 syllabus · HSC 2027 onwards · Syllabus focus area- The nature of proof
- Further work with vectors
- Introduction to complex numbers
- Further integration
- Applications of calculus to mechanics
Year 11 · Mathematics Standard
2024 syllabus · 2027 Year 11 teaching · Official syllabus focus area- Formulas and equations
- Linear relationships
- Earning money
- Managing money
- Applications of measurement
- Time and location
- Networks, paths and trees
- Data analysis
Year 11 · Mathematics Advanced
2024 syllabus · 2027 Year 11 teaching · Official syllabus focus area- Working with functions
- Graph transformations
- Trigonometry and measure of angles
- Trigonometric identities and equations
- Introduction to differentiation
- Exponential and logarithmic functions
- Probability and data
Year 11 · Mathematics Extension 1
2024 syllabus · 2027 Year 11 teaching · Official syllabus focus area- Further work with functions
- Polynomials
- Further trigonometry
- Permutations and combinations
- The binomial theorem
Maths Topics and Subtopics
Year 11 = Preliminary · Year 12 = HSC| Pathway | Year 11 (Preliminary) | Year 12 (HSC) |
|---|---|---|
Mathematics Standard | 8 subtopics | 17 subtopics |
Mathematics Advanced | 7 subtopics | 7 subtopics |
Mathematics Extension 1 | 6 subtopics | 6 subtopics |
Mathematics Extension 2 | Year 12 HSC course only | 5 subtopics |
HSC Maths practice questions FAQ
Does this page cover HSC Maths?
Yes. It shows Skill Align's curriculum-aligned practice coverage for HSC Maths, including the topic and subtopic structure used for planning practice.
Can students try HSC Maths practice questions?
Yes. The practice buttons near the top open free sample-question demos. Monthly Practice Plans cover Years 7–11; Year 12 exam preparation uses one-off exam packs.
How should parents use this curriculum page?
Use the page to compare coverage, check the topic table, then open sample questions or choose subject access when the student is ready for regular maths practice.