HSC Mathematics Advanced past exams 2020–2025, by year and topic

Functions · 2 mapped questions

Also in this topic: Graphing techniques (transformations, odd/even functions, sums/products of functions) — question-level mapping in progress; the year table above links every official paper.

Trigonometric Functions · 3 mapped questions

Also in this topic: Trigonometric functions and graphs (radians, graphing trig functions, trig equations) — question-level mapping in progress; the year table above links every official paper.

Calculus · 11 mapped questions

Also in this topic: Differential calculus (composite, product, quotient rules) · The second derivative (concavity, points of inflection, curve sketching) · Integral calculus (indefinite/definite integrals, areas, integration techniques) — question-level mapping in progress; the year table above links every official paper.

Exponential and Logarithmic Functions · 2 mapped questions

Also in this topic: Applications of exponential and logarithmic functions (growth and decay models, rates of change) — question-level mapping in progress; the year table above links every official paper.

Financial Mathematics · 3 mapped questions

Also in this topic: Modelling financial situations (compound interest, annuities, arithmetic/geometric sequences and series applied to finance) — question-level mapping in progress; the year table above links every official paper.

Statistical Analysis · 5 mapped questions

Also in this topic: Descriptive statistics and bivariate data analysis (correlation, least-squares regression, box plots, standard deviation) · Random variables (discrete and continuous probability distributions, expected value) · The normal distribution (z-scores, standardisation, empirical rule) — question-level mapping in progress; the year table above links every official paper.

Probability · 2 mapped questions

Also in this topic: Conditional probability and independence (tree diagrams, multi-stage events) — question-level mapping in progress; the year table above links every official paper.

Sequences and series · 2 mapped questions