Assessment and exam practice.

Try this with Mathematics Advanced

1. Check the task format, time limit and permitted materials with your school.
2. Start with one timed section or task and record where you spent the most time.
3. Review errors before attempting another section. Separate missing knowledge from timing problems.

View Mathematics Advanced resources on ATARMAXXING ↗

Practice paper focus areas

• Exam 1 — Functions and graphing techniques (rational, exponential, logarithmic) as the dominant theme; Differential and integral calculus including the second derivative and areas; Trigonometric functions and graph transformations
• Exam 2 — Trigonometric Functions and Graphs (transformations, equations, modelling, area); Differential Calculus (product rule, tangents, stationary points, concavity/inflection); Integral Calculus (area between curves, trapezoidal rule, applications)
• Exam 3 — Calculus (differential calculus, the second derivative, integral calculus) — ~50 of 90 marks; Financial Mathematics — reducing-balance loan modelling; Statistical Analysis — normal distribution, bivariate regression, continuous random variables
• Exam 4 — Financial Mathematics — Modelling Financial Situations (reducing-balance loans via recurrence, superannuation annuities, depreciation and geometric series): 26 dedicated marks; Statistical Analysis — Descriptive Statistics, Bivariate Data Analysis and Random Variables (continuous PDFs and the normal distribution): 33 marks; Calculus — Differential Calculus, the Second Derivative and Integral Calculus (curve sketching, tangents, area and the trapezoidal rule): 17 marks
• Exam 5 — Statistical Analysis — Descriptive Statistics & Bivariate Data (5-number summary, boxplots, outliers, least-squares regression, correlation, interpretation); Statistical Analysis — Random Variables (discrete probability distributions, E(X), Var(X), linear transformations; the normal distribution, z-scores, empirical rule); Calculus — differential (product/chain rule, stationary points, second derivative, concavity) and integral (area under/between curves, trapezoidal rule)
• Exam 6 — Functions (Graphing Techniques) — rational functions, transformations, curve sketching with calculus; Calculus — differential, second derivative, integral (area + trapezoidal rule); Trigonometric functions and graphs
• Exam 7 — Trigonometric Functions and Graphs; Calculus (Differential & Integral); Financial Mathematics
• Exam 8 — Calculus: Differential Calculus, The Second Derivative, Integral Calculus (heavily weighted); Trigonometric Functions and Graphs; Financial Mathematics (Modelling Financial Situations)
• Exam 9 — Financial Mathematics (Modelling Financial Situations) — annuities, reducing-balance loans, depreciation, present-value comparison, recurrence/geometric savings models; Calculus — differential (stationary points, second-derivative test, concavity/inflection) and integral (definite integrals, area); Statistical Analysis — least-squares regression and correlation, continuous random variables, normal distribution / empirical rule
• Exam 10 — Statistical Analysis weighted heaviest (~40 of 90 marks): descriptive statistics, bivariate data analysis, discrete and continuous random variables; Full Year 12 coverage: graphing techniques, trigonometric functions, differential and integral calculus, the second derivative, financial mathematics; Two 9-mark multi-part modelling/application questions (bivariate+RV market data; particle kinematics via calculus)
• Exam 11 — Functions and Graphing Techniques (rational, quadratic, inverse, transformations); Differential and Integral Calculus (including the second derivative and curve sketching); Trigonometric Functions and Graphs
• Exam 12 — Trigonometric Functions and Graphs (graphing, equations, identities, modelling); Differential and Integral Calculus including the second derivative; Financial Mathematics — modelling financial situations (annuities/superannuation)
• Exam 13 — Differential Calculus (product/quotient/chain rules, stationary points); The Second Derivative (concavity, points of inflection, curve sketching); Integral Calculus (areas, trapezoidal rule, kinematics)
• Exam 14 — Financial Mathematics (Modelling Financial Situations) — reducing-balance loans, annuities, recurrence/series; Calculus — differentiation, second derivative & curve sketching, integration and kinematics; Trigonometric Functions and Graphs — modelling periodic phenomena
• Exam 15 — Statistical Analysis (Descriptive Statistics) — five-number summary, outliers, standard deviation; Statistical Analysis (Bivariate Data) — Pearson's r, least-squares regression, prediction and reliability; Statistical Analysis (Random Variables) — discrete distributions and the normal distribution / empirical rule
• Exam 16 — Functions (Graphing Techniques) — rational functions, asymptotes, area between curves, transformations, curve sketching; Calculus — differentiation rules, second-derivative concavity, integration, optimisation; Financial Mathematics — reducing-balance loan / annuity modelling
• Exam 17 — Trigonometric Functions and Graphs (transformations, equations, identities, modelling); Differential and Integral Calculus (including the second derivative and trig calculus); Financial Mathematics (compound interest, annuities, reducing-balance loans)
• Exam 18 — Calculus emphasis: differential calculus, the second derivative, integral calculus; Realistic NESA Section II weighting across all Year 12 Mathematics Advanced modules; Multi-part modelling/application questions worth 5+ marks (tide, loan/superannuation, bivariate)
• Exam 19 — Financial Mathematics — Modelling Financial Situations (annuities, reducing-balance loans, compound interest, recurrence); Differential & Integral Calculus (second derivative, curve sketching, areas, volumes of revolution); Statistical Analysis (normal distribution / z-scores, bivariate data & least-squares regression)
• Exam 20 — Statistical Analysis — Descriptive Statistics & Bivariate Data Analysis (Q15, Q16); Statistical Analysis — Random Variables: continuous PDFs and the normal distribution (Q17, Q18); Calculus — differentiation, the second derivative and integration (Q11, Q13, Q19)