Maths Advanced mock exam
Higher School Certificate Examination - Mathematics Advanced. Sit it in one block, time yourself with the on-screen clock, then self-mark against the model answers.
Paper structure from the official NESA page.
Want the real thing? Open the 2025 Maths Advanced paper walkthrough for the official structure and marking criteria.
Paper at a glance
| Section | Questions | Marks | Recommended time |
|---|---|---|---|
| Section I - Objective response | 10 | 10 | 15 min |
| Section II - Free response | 26 | 90 | 165 min |
Before you start
What this mock covers
- Section I - Objective response: 10 multiple-choice questions, auto-marked when you submit.
- Section II - Free response: 26 short-answer questions (90 marks), self-marked against a model answer.
18 syllabus dot points covered
Syllabus dot points examined in this paper:
- Annuities and future value: deriving the formula and applying it to regular savings
- Applications of differentiation: stationary points, inflection, optimisation and related rates
- Bivariate data: scatter plots, Pearson correlation and least-squares regression for HSC Maths Advanced
- Calculus of trigonometric functions: derivatives, integrals and harmonic motion modelling
- Combining functions: sums, differences, products, quotients, squares and reciprocals
- Continuous random variables: probability density functions, cumulative distributions, mean and variance
- Discrete random variables: probability distribution, expected value, variance and standard deviation
- Exponential growth and decay: dN/dt = kN, Newton's law of cooling and applications
- Geometric sequences and series for HSC Maths Advanced financial modelling
- Graph transformations: translations, reflections and dilations for HSC Maths Advanced functions
- Graphs of sine, cosine and tangent: amplitude, period, phase shift and vertical shift
- Integration techniques: antiderivatives, substitution, definite integrals and the FTC
- Logarithmic and exponential calculus: derivatives and integrals of e^x and ln(x)
- Radians, arc length, sector and segment area for HSC Maths Advanced
- Reducing-balance loans: repayments, outstanding balance and present value of an annuity
- Solving trigonometric equations: principal values, multiple angles and quadratics in sine and cosine
- The normal distribution: z-scores, the empirical rule, probabilities and percentiles
- Triangle trigonometry for HSC Maths Advanced: sine rule, cosine rule, area rule, elevation and depression, bearings and 3D applications
Multiple-choice questions are drawn from the Calculus (Year 12 Maths Advanced), Exam-style practice (harder): Maths Advanced multiple choice, HSC Mathematics Advanced trigonometric functions, Statistical analysis (Year 12 Maths Advanced), Vectors (Mathematics Extension 1 content) quizzes.
Your answers, the clock and your self-marks save on this device as you go, so a reload picks up where you left off.