HSC Maths Standard 2 Syllabus: Every Topic for the 2027 HSC
HSC Mathematics Standard 2 is one of the biggest courses in the HSC, and it's on a new syllabus. Students starting Year 12 in Term 4 2026 are the first to sit the HSC under the Mathematics Standard 11–12 Syllabus (2024), in 2027. This guide explains how the course is structured, what each Year 12 focus area covers, where marks usually go, and how to study it.
What Maths Standard 2 is
Mathematics Standard is the practical maths course. It focuses on maths you'll use in everyday life and work: money, measurement, data, networks and probability. It suits students who want useful, applied maths without the calculus of Mathematics Advanced.
The course has a common Year 11, then splits in Year 12 into Standard 1 and Standard 2. Standard 2 covers more topics in more depth.
What's new for the 2027 HSC
The 2024 syllabus is taught to Year 12 from Term 4 2026 and examined for the first time in 2027. The 2017 syllabus had its final exam in 2026. Older notes and past papers were written for the previous course, so they won't line up exactly with the new focus areas.
NESA published sample HSC exam materials for the new maths courses in 2025. They're the best guide to the new exam.
How the course is structured
Year 11 (common to Standard 1 and 2) covers: Formulas and equations; Linear relationships; Earning money; Managing money; Applications of measurement; Time and location; Networks, paths and trees; and Data analysis.
Year 12 Standard 2 has ten focus areas, grouped below. Year 12 starts in Term 4 of Year 11.
Algebra and finance
Algebraic relationships
Simultaneous equations and break-even analysis, exponential growth and decay, quadratic models, and reciprocal graphs for inverse variation.
Common mistakes: reading the wrong value off a graph, and not interpreting intercepts or turning points in context. Say what the number means ("the business breaks even at 200 units").
Investment and loans
Simple and compound interest, inflation and appreciation, shares and dividends, straight-line and declining balance depreciation, reducing balance loans, and credit cards.
Common mistakes: mixing up the interest rate per period with the annual rate, and confusing straight-line with declining balance depreciation. Always convert the rate and number of periods to match.
Annuities
What an annuity is, using annuity tables and spreadsheets, and applying future and present value to superannuation, savings and loans.
Common mistakes: reading the wrong row or column of an interest factor table. Check the rate per period and number of periods before you look anything up.
Measurement and rates
Trigonometry
Right-angled trigonometry, the sine and cosine rules, the area of a triangle, true and compass bearings, radial surveys, and angles of elevation and depression. The ambiguous case of the sine rule isn't required.
Common mistakes: having the calculator in the wrong angle mode, and confusing true and compass bearings. Draw a clear diagram with north marked before calculating.
Ratios and rates
Ratios and dividing quantities, capture-recapture, scale drawings and land area, rainfall calculations, unit rates and best buys, and distance-time, fuel and energy problems.
Common mistakes: unit conversions, especially area and volume units, and rainfall problems where millimetres need converting to metres. Write units on every line.
Networks
Network flow
Sources, sinks and cuts, turning a table into a directed network, finding maximum flow, and the maximum-flow minimum-cut theorem.
Common mistakes: including edges that flow the wrong way across a cut. Only count capacities flowing from the source side to the sink side.
Critical path analysis
Drawing project networks from precedence tables (including dummy activities), forward and backward scanning, earliest and latest start times, float, the critical path, and Gantt charts. Networks in this course have up to 10 activities.
Common mistakes: missing a dependency when drawing the network, and taking the wrong value in the backward scan. Take the largest value going forward and the smallest going back.
Data and probability
Bivariate data analysis
Scatter plots, correlation versus causation, the line of best fit, the correlation coefficient, least-squares regression, and the limits of interpolation and extrapolation.
Common mistakes: claiming correlation proves causation, and not commenting on the reliability of a prediction made outside the data range.
Relative frequency and probability
Sample spaces, complementary events, multistage events, tree diagrams, Venn diagrams, two-way tables, and expected frequency.
Common mistakes: adding probabilities that should be multiplied (or the reverse). Ask whether the events happen together ("and") or as alternatives ("or").
The normal distribution
Features of normal distributions, z-scores, comparing results using z-scores, the empirical rule (68-95-99.7), and probabilities as areas under the curve. Population standard deviation is used in this course.
Common mistakes: shading the wrong side of the curve, and forgetting to compare z-scores rather than raw marks. Sketch the curve every time.
How Maths Standard 2 is assessed
Your HSC mark is the average of your moderated school assessment mark and your HSC exam mark, which sets your band from 1 to 6 (Band 6 from 90).
- School assessment tasks follow your school's assessment program. Expect topic tests, an investigation or practical task, and trial exams.
- The HSC exam is written and sat at the end of Year 12. Many questions are worded and set in real-world contexts.
Method marks matter, so show your working even when the calculator does the heavy lifting.
How to study Maths Standard 2
- Practise worded questions. The hard part is often working out which method a question needs.
- Learn your calculator. Know how to do statistics, regression and financial calculations quickly and accurately.
- Keep an error log. Write down each mistake and its fix, and review it before tests.
- Mix topics once covered. The exam won't label questions, so practise switching between them.
- Answer in context. Finish with a sentence that answers the question, with units.
- Time yourself. Use the new sample materials and suitable older questions under exam conditions.
If you get stuck on a method, an AI study coach like otto can work through it with you step by step and check where your working went wrong.
The bottom line
Mathematics Standard 2 is very learnable with regular practice. For the 2027 HSC it's a new syllabus, so study from the new focus areas, practise worded questions, show your working, and keep track of the mistakes you make so you stop repeating them.
If you want help with the topics that trip you up, otto maps the new Mathematics Standard 2 syllabus, builds short lessons and practice sets for each focus area, works through problems with you 24/7, and checks your working so you can see exactly where a method broke.
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Frequently Asked Questions
What topics are in HSC Maths Standard 2?
Under the 2024 syllabus, Year 12 Standard 2 covers Algebraic relationships, Investment and loans, Annuities, Trigonometry, Ratios and rates, Network flow, Critical path analysis, Bivariate data analysis, Relative frequency and probability, and The normal distribution.
What's the difference between Maths Standard 1 and Standard 2?
Both share a common Year 11 course. In Year 12 the course splits: Standard 2 covers more topics in more depth, including annuities, network flow, critical path analysis and the normal distribution. Your school will advise which suits you.
Is the Maths Standard syllabus new for 2027?
Yes. The Mathematics Standard 11–12 Syllabus (2024) is taught to Year 12 from Term 4 2026 and first examined in the 2027 HSC. The previous syllabus had its final exam in 2026, so older past papers won't match the new course exactly.
How do I get better at Maths Standard 2?
Practise worded questions until you can pick the right method quickly, show your working, learn to use your calculator and formula reference confidently, and write conclusions in context. Most marks are lost on misreading the question or skipping steps.