VCE Year 11-12 Mathematics Practice

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Use this page for VCE 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.

Try practice questions:

Year 11 VCE Maths practice questions Year 12 VCE Maths practice questions

Students typically complete one mathematics pathway. Units 1–2 are Year 11, Units 3–4 are Year 12 (ATAR assessed).

Specialist Mathematics is usually taken alongside Mathematical Methods.

This page focuses on VCE Mathematics so the senior secondary pathway, unit, and unit-topic structure can be read without the Year 10 strand matrix in the same table.

For the ACARA v9 Years 11–12 mathematics curriculum, see the Year 11–12 Maths Practice page. The VCE pathways below are structured by Units 1–4.

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.

Official VCAA source links checked by Skill Align

Source references used for Skill Align VCE Mathematics alignment

This table records official source pages used for Skill Align curriculum alignment. It is not a reproduction of official study design, syllabus, assessment or examination material. Users should refer to the official authority website for current requirements.

Pathway	Examination specifications	Sample material	Assessment guides and support	Checked	Source
Foundation Mathematics 2025 VCE Foundation Mathematics examination, examination assessment guide and external assessment report	Version 3, March 2025	Sample written examination Version 3, August 2023	2025 examination assessment guide; sample multiple-choice answer sheet October 2025; formula sheet August 2024	2026-05-04	Official source
General Mathematics 2025 VCE General Mathematics examinations 1 and 2, assessment guides and external assessment reports	Version 3, March 2025	Sample written examination 1 March 2023; sample written examination 2 March 2023	2025 examination 1 and 2 assessment guides; sample multiple-choice answer sheet October 2025; formula sheets August 2024	2026-05-04	Official source
Mathematical Methods 2025 VCE Mathematical Methods examinations 1 and 2, assessment guides and external assessment reports	Version 3, March 2025	Written examination 1 sample questions January 2023; written examination 2 sample questions Version 2, March 2023	2025 examination 1 and 2 assessment guides; sample multiple-choice answer sheet October 2025; formula sheets August 2024	2026-05-04	Official source
Specialist Mathematics 2025 VCE Specialist Mathematics examinations 1 and 2, assessment guides and external assessment reports	Version 3, March 2025	Written examination 1 sample questions January 2023; written examination 2 sample questions January 2023	2025 examination 1 and 2 assessment guides; sample multiple-choice answer sheet October 2025; formula sheets August 2024	2026-05-04	Official source

Maths Topics and Subtopics

Year 11 = Units 1–2 · Year 12 = Units 3–4

Pathway	Unit 1 (Year 11)	Unit 2 (Year 11)	Unit 3 (Year 12)	Unit 4 (Year 12)
Foundation Mathematics	1. Basic Numeracy and Measurement • Use everyday number, estimation, units, and practical measurement in familiar contexts. 2. Financial Mathematics • Use income, expenses, discounts, rates, and simple budgeting decisions. 3. Data Representation • Read tables, charts, and simple graphs to describe practical data.	1. Personal Finance Applications • Apply percentages, wages, tax, bills, and budgets to personal finance decisions. 2. Measurement and Geometry • Use length, area, volume, scale, and geometric properties in practical tasks. 3. Data Interpretation • Interpret displayed data, compare categories, and make simple evidence-based statements.	1. Algebra, Number and Structure text calculation graph diagram analysis • Use number patterns, algebraic structure, formula work, estimation, ratio, variation, interpolation, extrapolation, practical calculation and real-world contexts. 2. Data Analysis, Probability and Statistics text calculation graph diagram analysis • Use data displays, summary statistics, probability ideas, interpretation of tables/graphs, evidence-based statements and practical data contexts. 3. Discrete Mathematics text calculation graph diagram analysis • Use discrete structures, networks, sequences, financial and consumer mathematics, decision-making contexts and practical modelling. 4. Space and Measurement text calculation graph diagram analysis • Use spatial reasoning, scale, units, length, area, surface area, volume, geometry, plans, views, transformations and practical measurement modelling.	1. Algebra, Number and Structure text calculation graph diagram analysis • Use number patterns, algebraic structure, formula work, estimation, ratio, variation, interpolation, extrapolation, practical calculation and real-world contexts. 2. Data Analysis, Probability and Statistics text calculation graph diagram analysis • Use data displays, summary statistics, probability ideas, interpretation of tables/graphs, evidence-based statements and practical data contexts. 3. Discrete Mathematics text calculation graph diagram analysis • Use discrete structures, networks, sequences, financial and consumer mathematics, decision-making contexts and practical modelling. 4. Space and Measurement text calculation graph diagram analysis • Use spatial reasoning, scale, units, length, area, surface area, volume, geometry, plans, views, transformations and practical measurement modelling.
General Mathematics	1. Consumer Arithmetic • Use percentages, pricing, wages, and other everyday arithmetic decisions. 2. Algebra and Matrices • Use formula work, algebraic rearrangement, and introductory matrix applications. 3. Shape and Measurement • Use perimeter, area, volume, scale, and practical measurement interpretation.	1. Univariate Data Analysis • Use summary measures, displays, interpretation, and investigation of one-variable data. 2. Applications of Trigonometry • Use right-triangle trigonometry in practical measurement contexts. 3. Linear Equations and Graphs • Use slope, intercepts, graph interpretation, and linear modelling.	1. Data Analysis • Use univariate and bivariate data, association, scatterplots, summary statistics, fitted models, residuals, time-series interpretation where appropriate, and evidence-based interpretation of displayed data. 2. Recursion and Financial Modelling • Use recurrence relations, growth and decay, payments, loans, investments, annuities, depreciation, financial tables and practical financial modelling.	1. Matrices text calculation graph diagram analysis • Use matrix operations, transition matrices, communication matrices, applications, dominance matrices where appropriate, and interpretation in applied contexts. 2. Networks and Decision Mathematics text calculation graph diagram analysis • Use vertices, edges, paths, routes, trees, shortest paths, minimum spanning trees, flow, scheduling, matching, optimisation and decision reasoning.
Mathematical Methods	1. Functions and Graphs • Use function notation, domain, range, transformations, and graph features. 2. Algebra • Use equations, inequalities, manipulation, and exact algebraic reasoning. 3. Trigonometric Functions • Use radians, sine, cosine, tangent, periodicity, and graph interpretation.	1. Exponential Functions • Use exponential rules, graphs, growth, decay, and modelling contexts. 2. Sequences and Series • Use arithmetic and geometric sequences, series, and recursive structure. 3. Introductory Calculus • Use rates of change, tangent ideas, and introductory derivative rules.	1. Functions and Graphs text calculation graph diagram analysis • Use polynomial, power, circular, exponential and logarithmic functions where appropriate; function notation; domain and range; transformations; graph features; composite and inverse relationships; graphical interpretation. 2. Algebra text calculation graph diagram analysis • Use algebraic manipulation, equations, exact forms, symbolic reasoning, solving and rearranging relationships connected to functions and calculus. 3. Differential Calculus text calculation graph diagram analysis • Use differentiation rules, tangents, normals, rates of change, stationary points, curve behaviour, optimisation and graph interpretation. 4. Integral Calculus text calculation graph diagram analysis • Use anti-differentiation, definite integrals, area, accumulation, and links between derivatives and integrals.	1. Functions and Transformations text calculation graph diagram analysis • Use transformations, inverse relationships, composite functions, graphical interpretation, combinations of functions and applied modelling. 2. Calculus Applications text calculation graph diagram analysis • Use calculus in modelling, rates, optimisation, area, accumulation and motion-style contexts where appropriate. 3. Probability and Random Variables text calculation graph diagram analysis • Use probability models, conditional probability where appropriate, discrete random variables, continuous random variables, probability density functions and distribution interpretation. 4. Normal Distribution and Statistical Inference text calculation graph diagram analysis • Use normal distribution, standardisation, sampling distributions, sample proportions, confidence intervals and decision-making from data.
Specialist Mathematics	1. Algebra and Structure • Use algebraic structure, proof-aware manipulation, and exact reasoning. 2. Combinatorics • Use permutations, combinations, counting arguments, and structured cases. 3. Vectors (intro) • Use vector notation, magnitude, direction, and basic geometric interpretation.	1. Trigonometry (advanced) • Use identities, exact values, equations, and advanced trigonometric graphs. 2. Matrices • Use matrix operations, transformations, and systems in Specialist contexts. 3. Vectors (applications) • Use vector operations, scalar products, projections, and geometric applications.	1. Complex Numbers and Algebra text calculation graph diagram analysis • Use Cartesian and polar/cis form, modulus, argument, principal argument, and Argand-plane interpretation.• For hard questions, prefer linked exact reasoning using De Moivre's theorem, powers, nth roots, roots of unity, loci, polynomial factorisation over C, conjugate roots, factor theorem, remainder theorem, or polynomial divisibility. 2. Vectors and Vector Geometry text calculation graph diagram analysis • Use vector notation, scalar products, projections, vector proofs, and geometric relationships. 3. Calculus: Differentiation and Applications text calculation graph diagram analysis • Use differentiation rules, rates of change, curve behaviour, and optimisation. 4. Mechanics text calculation graph diagram analysis • Use force, motion, vectors, and modelling of physical systems. 5. Mathematical Logic, Induction and Proof text calculation graph diagram analysis • Use logic, induction, proof structure, and exact symbolic reasoning.	1. Integration Techniques text calculation graph diagram analysis • Use advanced anti-differentiation methods and exact integral evaluation. 2. Differential Equations text calculation graph diagram analysis • Use differential equation models, solutions, and interpretation of change. 3. Advanced Mechanics text calculation graph diagram analysis • Use extended force, motion, energy, and vector modelling applications. 4. Functions, Relations and Graphs text calculation graph diagram analysis • Use function and relation structure, graph features, transformations, and intersections. 5. Statistics and Probability text calculation graph diagram analysis • Use probability models, distributions, statistical reasoning, and interpretation.