SACE Essential Mathematics past exams 2023–2025, by year and topic

The rest of the syllabus

Question-level mapping for these areas is still being verified. Every official paper covering them is in the year table above.

• Topic 2: Measurement (examined) — Subtopic 2.1: Linear measure — units, conversion, estimation, perimeter, circumference and arc length · Subtopic 2.1: Pythagoras' theorem, right-angled trigonometry, angles of elevation and depression · Subtopic 2.1: Sine rule and cosine rule for non-right-angled triangles (no ambiguous case) · Subtopic 2.2: Area of regular, composite and irregular shapes, including Simpson's rule, and surface area · Subtopic 2.3: Mass, volume, capacity and density
• Topic 4: Statistics (examined) — Subtopic 4.1: Census, population and sample; simple random, stratified, systematic and self-selected sampling · Subtopic 4.1: Bias, sampling, measurement, coverage and non-response error, and the effect of sample size · Subtopic 4.2: Mean, median, range, interquartile range, standard deviation and the effect of outliers · Subtopic 4.2: Stem-and-leaf plots and box-and-whisker plots for comparing distributions · Subtopic 4.3: Scatter plots, Pearson's r, the coefficient of determination, the least squares line, interpolation and extrapolation
• Topic 5: Investments and loans (examined) — Subtopic 5.1: Simple and compound interest on a lump sum; fixed and variable rates · Subtopic 5.1: Taxation of interest earned and the effect of inflation · Subtopic 5.2: Future-value annuities, the regular deposit, interest earned, superannuation and long-term assumptions · Subtopic 5.3: Loan annuities — present value, repayment, outstanding balance, term, interest paid and interest minimisation
• Topic 1: Scales, plans, and models (school-assessed only) — Subtopic 1.1: Properties of plane shapes and solids, and nets · Subtopic 1.2: Constructing and reading scale diagrams, bearings, and the accuracy of scaled measurements
• Topic 3: Business applications (school-assessed only) — Subtopic 3.1: Planning a business premises — location, facilities and comparison of costs · Subtopic 3.2: Costing calculations — discounts, GST and input tax credits, profit margin, depreciation, break-even analysis and profit and loss statements · Subtopic 3.3: Business structures and taxation — sole trader and partnership comparisons
• Topic 6: Open topic (school-developed, school-assessed only) — A school-developed topic replacing either Topic 1 or Topic 3; content is written by the school and is never examined externally