HSC Year 11-12 Mathematics Practice

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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.

What is a practice skill?

A practice skill is a focused topic or question type designed to help students practise one curriculum-aligned concept with instant feedback and explanations. Skill Align uses practice skills to organise questions by year level, subject, strand, and curriculum focus.

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.

Try sample questions

Mathematics Standard sample questions

Year 11 demo Year 12 demo

Mathematics Advanced sample questions

Year 11 demo Year 12 demo

Mathematics Extension 1 sample questions

Year 11 demo Year 12 demo

Mathematics Extension 2 sample questions

Year 12 demo

HSC Maths access: one HSC Maths subject subscription covers the supported pathways for the selected year level, so families do not need separate Mathematics Standard, Mathematics Advanced, Mathematics Extension 1, and Mathematics Extension 2 subscriptions. Current monthly prices are Year 11 AU$19/month and Year 12 AU$22/month.

Multi-subject discounts and current checkout availability are shown on the Pricing page.

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.

For the ACARA v9 Years 11–12 mathematics curriculum, see the Year 11–12 Maths Practice page. The HSC pathways below are structured as Year 11 (Preliminary) and Year 12 (HSC).

Curriculum attribution

Skill Align independently prepares practice pathways aligned to publicly available curriculum and syllabus information.
Skill Align is not affiliated with, endorsed by, or sponsored by ACARA, VCAA, NESA, QCAA, SCSA, SACE, or any state curriculum authority.
Official curriculum, syllabus, study design, and assessment requirements should always be checked on the relevant authority website.
Skill Align modifies and reorganises referenced material for practice and study-planning purposes.

HSC Year 11-12 Mathematics practice skills

HSC Year 11-12 Mathematics currently includes 162 practice skills grouped by pathway.

162 practice skills

4 pathways

Mathematics Standard

65 practice skills

Year 11

24 practice skills

Hsc Algebra Linear
Hsc Data Analysis
Hsc Earning Budgeting
Hsc Formulas Equations
Hsc Managing Money
Hsc Measurement Geometry
Hsc Networks Critical Path
Hsc Preliminary Standard Hard Applications Measurement
Hsc Preliminary Standard Hard Data Analysis
Hsc Preliminary Standard Hard Earning Money
Hsc Preliminary Standard Hard Formulas Equations
Hsc Preliminary Standard Hard Linear Relationships
Hsc Preliminary Standard Hard Managing Money
Hsc Preliminary Standard Hard Networks Paths Trees
Hsc Preliminary Standard Hard Time Location
HSC Standard: Algebra and Linear Relationships
HSC Standard: Data Analysis
HSC Standard: Earning and Budgeting
HSC Standard: Formulas and Equations
HSC Standard: Managing Money
HSC Standard: Measurement and Geometry
HSC Standard: Networks, Paths and Trees
HSC Standard: Time and Location
Hsc Time Location

Year 12

43 practice skills

Hsc Algebra Linear
Hsc Bivariate Data Analysis
Hsc Depreciation Loans
Hsc Loans Annuities
Hsc Network Flow
Hsc Networks Critical Path
Hsc Normal Distribution
Hsc Ratios Rates
HSC Standard Diagram Network Cut Capacity
HSC Standard Diagram Network Flow Capacity
HSC Standard Diagram Shortest Route
HSC Standard Graph Break Even Quantity
HSC Standard Graph Compound Balance Growth
HSC Standard Graph Declining Balance Value
HSC Standard Graph Flat Rate Depreciation
HSC Standard Graph Interest Earned Growth
HSC Standard Graph Linear Relation Gradient
HSC Standard Graph Linear Relation Value
HSC Standard Graph Loan Balance Repayment
HSC Standard Graph Simple Interest Balance
Hsc Standard Hard Bivariate Investigation Composite
Hsc Standard Hard Credit Card Daily Interest
Hsc Standard Hard Duck Pond Bearing
Hsc Standard Hard Investment Return Comparison
Hsc Standard Hard Registration Linear Equations
Hsc Standard Hard Spinner Relative Frequency
Hsc Standard Hard Tax Medicare Levy
Hsc Standard2 Hard Critical Path Project Network
Hsc Standard2 Hard Normal Distribution Comparison
Hsc Standard2 Hard Shortest Path Composite
HSC Standard: Algebraic Relationships
HSC Standard: Annuities
HSC Standard: Bivariate Data Analysis
HSC Standard: Depreciation Loans
HSC Standard: Loans and Annuities
HSC Standard: Network Flow
HSC Standard: Networks and Critical Path
HSC Standard: Normal Distribution
HSC Standard: Ratios Rates
HSC Standard: Statistics and Probability
HSC Standard: Trigonometry and Rates
Hsc Statistics Probability
Hsc Trigonometry Rates

Mathematics Advanced

41 practice skills

Year 11

21 practice skills

Hsc Advanced Statistics
HSC Advanced: Exponential and Logarithmic Functions
HSC Advanced: Functions and Graphs
HSC Advanced: Graph Transformations
HSC Advanced: Introductory Calculus
HSC Advanced: Statistical Analysis
HSC Advanced: Trigonometric Functions
HSC Advanced: Trigonometric Identities and Equations
Hsc Exponential Logarithmic
Hsc Extension Trigonometry
Hsc Functions Graphs
Hsc Graphing Techniques
Hsc Introductory Calculus
Hsc Preliminary Advanced Hard Exponential Logarithmic Functions
Hsc Preliminary Advanced Hard Graph Transformations
Hsc Preliminary Advanced Hard Introduction Differentiation
Hsc Preliminary Advanced Hard Probability Data
Hsc Preliminary Advanced Hard Trigonometry Angle Measure
Hsc Preliminary Advanced Hard Working Functions
Hsc Preliminary Senior Hard Trig Identities Equations
Hsc Trigonometric Functions

Year 12

21 practice skills

Hsc Advanced Calculus Techniques
Hsc Advanced Differentiation Gradient At Point
Hsc Advanced Finance
Hsc Advanced Hard Applications Calculus
Hsc Advanced Hard Differential Calculus
Hsc Advanced Hard Financial Mathematics
Hsc Advanced Hard Graph Transformations Modelling
Hsc Advanced Hard Integral Calculus
Hsc Advanced Hard Random Variables
Hsc Advanced Hard Sequences Series
HSC Advanced: Applications Calculus
HSC Advanced: Continuous Random Variables
HSC Advanced: Financial Mathematics
HSC Advanced: Graphing Techniques
HSC Advanced: Integral Calculus
HSC Advanced: Series Sequences
Hsc Continuous Random Variables
Hsc Further Calculus Applications
Hsc Graphing Techniques
Hsc Series Sequences
HSC: Further Calculus

Mathematics Extension 1

46 practice skills

Year 11

16 practice skills

Hsc Binomial Theorem
Hsc Combinatorics
HSC Extension 1: Binomial Theorem
HSC Extension 1: Calculus Extensions
HSC Extension 1: Combinatorics
HSC Extension 1: Functions Polynomials
HSC Extension 1: Polynomials
HSC Extension 1: Trig Identities
Hsc Extension Calculus
Hsc Extension Trigonometry
Hsc Polynomials
Hsc Preliminary Extension1 Hard Binomial Theorem
Hsc Preliminary Extension1 Hard Functions Polynomials
Hsc Preliminary Extension1 Hard Introduction Calculus
Hsc Preliminary Extension1 Hard Permutations Combinations
Hsc Preliminary Senior Hard Trig Identities Equations

Year 12

30 practice skills

Hsc Advanced Differentiation Gradient At Point
Hsc Advanced Hard Differential Calculus
Hsc Binomial Distribution
HSC Extension 1: Binomial Distribution
HSC Extension 1: Further Calculus
HSC Extension 1: Further Calculus Skills
HSC Extension 1: Induction
HSC Extension 1: Introduction Vectors
HSC Extension 1: Inverse Trig
HSC Extension1 Diagram Cone Similar Triangles
HSC Extension1 Diagram Cylinder Related Rates
HSC Extension1 Diagram Ladder Related Rates
HSC Extension1 Diagram Vector Components
HSC Extension1 Diagram Vector Displacement
HSC Extension1 Diagram Vector Parallelogram
HSC Extension1 Graph Rate Accumulation
HSC Extension1 Graph Vector Dot Product
HSC Extension1 Graph Vector Resultant
HSC Extension1 Graph Vector Scalar Projection
HSC Extension1 Graph Velocity Acceleration
HSC Extension1 Graph Velocity Displacement
Hsc Extension1 Hard Binomial Mean Variance
Hsc Extension1 Hard Further Applications Calculus
Hsc Extension1 Hard Induction Divisibility
Hsc Extension1 Hard Inverse Trig Sum
Hsc Extension1 Hard Vector Parametric Point
Hsc Extension1 Induction Proof
Hsc Extension1 Vector Scalar Projection
Hsc Further Calculus Applications
Hsc Inverse Trigonometric Functions

Mathematics Extension 2

15 practice skills

Year 12

15 practice skills

HSC Extension 2: Complex Numbers
HSC Extension 2: Further Integration
HSC Extension 2: Further Vectors
HSC Extension 2: Mechanics
HSC Extension 2: Proof and Modelling
Hsc Extension2 Complex Modulus Argument
Hsc Extension2 Complex Plane Transformation
Hsc Extension2 Further Integration by Parts
Hsc Extension2 Further Integration Substitution
Hsc Extension2 Hard Vector Line Point
Hsc Extension2 Mechanics Calculus
Hsc Extension2 Mechanics Displacement Integral
Hsc Extension2 Nature of Proof
Hsc Extension2 Proof Counterexample
Hsc Extension2 Vector Dot Product

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 public sample-question demos so families can preview the style before using a subscribed student login.

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.