WA Year 11-12 Mathematics Practice

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Use this page for WACE 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.

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Year 11 WACE Maths practice questions Year 12 WACE Maths practice questions

WA senior mathematics includes multiple WACE courses organised by Units 1-4, with Units 1-2 usually studied in Year 11 and Units 3-4 in Year 12.

This page focuses on the main Skill Align practice pathways: Mathematics Essential, Mathematics Applications / General Mathematics, Mathematics Methods, and Mathematics Specialist.

Mathematics Preliminary and Mathematics Foundation are not shown on this public practice page because Skill Align is currently focusing on mainstream senior practice pathways.

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.

Mathematics 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)
Mathematics Essential	1. Calculations text calculation graph diagram analysis • Use practical number operations, estimation, rounding, calculator use, and checking reasonableness. 2. Number text calculation graph diagram analysis • Use fractions, decimals, percentages, ratios, rates, and practical number relationships. 3. Representing Data text calculation graph diagram analysis • Use tables, charts, graphs, summary values, and interpretation of displayed data. 4. Managing Money text calculation graph diagram analysis • Use income, expenses, budgets, bills, discounts, GST, and practical personal finance decisions.	1. Calculations text calculation graph diagram analysis • Use practical multi-step calculations, estimation, rounding, and reasonableness checks. 2. Data Collection text calculation graph diagram analysis • Use surveys, census, sampling, bias, questionnaire design, and data collection decisions. 3. Graphs text calculation graph diagram analysis • Use graphs to represent and interpret data, including travel and real-world contexts. 4. Time and Motion text calculation graph diagram analysis • Use time, speed, distance, duration, timetables, travel graphs, and motion interpretation.	1. Calculations text calculation graph diagram analysis • Use practical number operations, estimation, rounding, unit conversion, and reasonableness checks. 2. Measurement text calculation graph diagram analysis • Use length, perimeter, area, volume, capacity, mass, time, composite shapes, and practical measurement problems. 3. Scales, Plans and Models text calculation graph diagram analysis • Use scale drawings, actual measurements, plans, maps, models, and spatial interpretation. 4. Probability and Relative Frequencies text calculation graph diagram analysis • Use chance, relative frequency, simple probability, sample spaces, and interpretation of probability in context.	1. Calculations text calculation graph diagram analysis • Use practical multi-step arithmetic, rounding, estimation, and checking results. 2. Bivariate Graphs text calculation graph diagram analysis • Use Cartesian coordinates, scatterplots, association, line of best fit, interpolation, extrapolation, and interpretation. 3. Summarising and Comparing Data text calculation graph diagram analysis • Use measures of centre and spread, distribution shape, data comparison, and interpretation. 4. Loans and Compound Interest text calculation graph diagram analysis • Use simple interest, compound interest, loan repayments, balances, total cost, and financial interpretation.
Mathematics Applications	1. Consumer Arithmetic text calculation graph diagram analysis • Use percentages, rates, earning, spending, taxation, discounts, profit/loss, and spreadsheet-style practical contexts. 2. Algebra and Matrices text calculation graph diagram analysis • Use formulas, substitution, linear relationships, algebraic rearrangement, matrices, and matrix applications. 3. Shape and Measurement text calculation graph diagram analysis • Use perimeter, area, volume, surface area, scale, similarity, circles, and practical measurement. 4. Linear Equations and Graphs text calculation graph diagram analysis • Use linear equations, gradients, intercepts, graph interpretation, simultaneous equations, and practical linear modelling.	1. Univariate Data Analysis text calculation graph diagram analysis • Use one-variable data, categorical and numerical variables, data displays, summary measures, spread, and interpretation. 2. Applications of Trigonometry text calculation graph diagram analysis • Use right-angled and non-right-angled trigonometry, sine rule, cosine rule, bearings, elevation, and depression. 3. Applications of Linear Equations and Graphs text calculation graph diagram analysis • Use simultaneous linear equations, piecewise linear graphs, step graphs, break-even points, and practical modelling. 4. Matrices and Applications text calculation graph diagram analysis • Use matrix notation, matrix operations, transition-style applications, and interpretation in applied contexts.	1. Bivariate Data Analysis text calculation graph diagram analysis • Use scatterplots, association, correlation, coefficient of determination, least-squares line, residuals, interpolation, extrapolation, and prediction. 2. Growth and Decay in Sequences text calculation graph diagram analysis • Use arithmetic sequences, geometric sequences, recurrence, growth, decay, depreciation, compound interest, and discrete modelling. 3. Graphs and Networks text calculation graph diagram analysis • Use graph terminology, vertices, edges, paths, trails, circuits, trees, adjacency matrices, and network representation. 4. Earth Geometry and Time Zones text calculation graph diagram analysis • Use latitude, longitude, great circles, time zones, travel, broadcasting, and itinerary contexts.	1. Time Series Analysis text calculation graph diagram analysis • Use time series plots, trend, seasonality, smoothing, moving averages, seasonal indices, and long-term trend modelling. 2. Loans, Investments and Annuities text calculation graph diagram analysis • Use reducing-balance loans, compound interest, present value, future value, annuities, repayments, and investment modelling. 3. Networks and Decision Mathematics text calculation graph diagram analysis • Use shortest paths, spanning trees, minimum spanning trees, flow, matching, scheduling, and optimisation. 4. Financial Modelling text calculation graph diagram analysis • Use recurrence relations, periodic payments, balances, financial tables, technology-style interpretation, and decision-making.
Mathematics Methods	1. Functions and Graphs text calculation graph diagram analysis • Use function notation, domain, range, transformations, graph features, composite functions, and inverse relationships. 2. Trigonometric Functions text calculation graph diagram analysis • Use sine, cosine, tangent, radians, exact values, periodicity, transformations, and trigonometric graphs. 3. Counting and Probability text calculation graph diagram analysis • Use counting methods, probability rules, complements, conditional probability, independence, and interpretation. 4. Algebraic Reasoning text calculation graph diagram analysis • Use equations, inequalities, exact algebraic manipulation, polynomial forms, and symbolic reasoning.	1. Exponential Functions text calculation graph diagram analysis • Use exponential functions, exponential equations, graphs, growth, decay, and modelling. 2. Arithmetic and Geometric Sequences text calculation graph diagram analysis • Use arithmetic sequences, geometric sequences, recursive definitions, series, and applications. 3. Introduction to Differential Calculus text calculation graph diagram analysis • Use limits, gradients, derivatives, tangent lines, rates of change, and introductory differentiation rules. 4. Applications of Differential Calculus text calculation graph diagram analysis • Use derivatives for stationary points, curve behaviour, optimisation, rates, and practical modelling.	1. Further Differentiation text calculation graph diagram analysis • Use derivative rules, composite functions, exponential and logarithmic derivatives, trigonometric derivatives, product rule, quotient rule, and chain rule. 2. Applications of Differentiation text calculation graph diagram analysis • Use second derivative, concavity, optimisation, motion, displacement, velocity, acceleration, and modelling. 3. Integrals text calculation graph diagram analysis • Use anti-differentiation, indefinite integrals, definite integrals, area, accumulation, and motion from velocity or acceleration. 4. Discrete Random Variables text calculation graph diagram analysis • Use discrete probability distributions, expected value, variance, standard deviation, and random-process modelling.	1. Logarithmic Functions text calculation graph diagram analysis • Use logarithm laws, logarithmic functions, inverse relationships with exponentials, equations, graphs, and modelling. 2. Further Integration text calculation graph diagram analysis • Use definite integrals, fundamental theorem of calculus, area under curves, area between curves, numerical approximation, and total change. 3. Continuous Random Variables and the Normal Distribution text calculation graph diagram analysis • Use continuous random variables, density functions, cumulative distribution, normal distribution, probability, quantiles, and interpretation. 4. Statistical Inference text calculation graph diagram analysis • Use random sampling, sampling distributions, sample proportions or means as appropriate, confidence intervals, and inference-style interpretation.
Mathematics Specialist	1. Combinatorics text calculation graph diagram analysis • Use arrangements, selections, counting principles, permutations, combinations, and structured cases. 2. Proof text calculation graph diagram analysis • Use direct proof, contradiction-style reasoning, implication, counterexample, proof structure, and justification. 3. Vectors in the Plane text calculation graph diagram analysis • Use two-dimensional vectors, magnitude, direction, vector addition, scalar multiplication, components, and geometric interpretation. 4. Geometry text calculation graph diagram analysis • Use circle geometry, coordinate geometry, geometric relationships, and proof-style reasoning. 5. Trigonometry text calculation graph diagram analysis • Use exact values, identities, equations, angle relationships, and graph interpretation.	1. Complex Numbers text calculation graph diagram analysis • Use imaginary number definition, complex arithmetic, Cartesian form, conjugates, modulus, and Argand-plane basics. 2. Complex Arithmetic and Algebra text calculation graph diagram analysis • Use algebraic manipulation of complex numbers, equations, factors, roots, and exact complex-number reasoning. 3. Matrices text calculation graph diagram analysis • Use matrix operations, determinants, inverse matrices, systems of equations, and matrix interpretation. 4. Matrices and Transformations text calculation graph diagram analysis • Use matrices for transformations, composition, geometric effects, inverses, and systems. 5. Trigonometric Functions text calculation graph diagram analysis • Use trigonometric functions, identities, equations, transformations, and exact graph reasoning.	1. Further Complex Numbers text calculation graph diagram analysis • Use polar form, modulus, argument, De Moivre's theorem, powers, roots of unity, roots of complex numbers, Argand diagrams, loci, polynomial factorisation, factor theorem, remainder theorem, and conjugate root theorem. 2. Vectors in Three Dimensions text calculation graph diagram analysis • Use 3D vectors, scalar product, vector equations, lines, planes, angles, distances, projections, and geometric interpretation. 3. Vector Calculus text calculation graph diagram analysis • Use vector functions, position, velocity, acceleration, motion in two and three dimensions, and calculus-based vector reasoning. 4. Matrices, Systems and Applications text calculation graph diagram analysis • Use matrices beyond 2 by 2, systems of linear equations, Gaussian elimination, matrix applications, and interpretation. 5. Proof with Complex Numbers and Vectors text calculation graph diagram analysis • Use proof, exact symbolic reasoning, complex-number identities, vector proofs, and justification of mathematical claims.	1. Integration Techniques text calculation graph diagram analysis • Use advanced integration methods, substitution, integration by parts, partial fractions, inverse trigonometric forms, logarithmic integrals, and exact antiderivatives. 2. Applications of Integral Calculus text calculation graph diagram analysis • Use area between curves, volumes of revolution, numerical integration, total change, and applied integral modelling. 3. Rates of Change and Differential Equations text calculation graph diagram analysis • Use implicit differentiation, related rates, separable differential equations, solutions, long-term behaviour, and interpretation of change. 4. Modelling Motion text calculation graph diagram analysis • Use position, velocity, acceleration, force, motion, differential equations, kinematics, and vector motion contexts. 5. Statistical Inference text calculation graph diagram analysis • Use sampling distributions, sample means, confidence intervals, normal approximation, statistical reasoning, and interpretation.