Starting Year 12 Maths Advanced on the New Syllabus: What the 2027 HSC Class Needs to Know

If your child started Year 12 Mathematics Advanced in NSW this term, they're part of a first. The class of 2027 is the first to sit the HSC on the new Mathematics Advanced syllabus. Schools began teaching the new Year 12 course in Term 4 2026.

This isn't a complete rewrite. The NSW Department of Education describes the content changes as minor, and most of the course will feel familiar. A few changes do matter for how students prepare: some topics have moved, the exam no longer shares questions with Mathematics Standard, and there are no past HSC papers written for the new syllabus yet.

This guide covers what changed, what the 2027 exam looks like, how to use older papers, and a calm term-by-term plan from now to the HSC.

The short version

• Year 12 began the new syllabus in Term 4 2026, and the first HSC exam on it is in 2027.
• The exam is worth 100 marks and runs for 3 hours, plus 10 minutes of reading time.
• Mathematics Advanced and Mathematics Standard no longer share any exam questions.
• Older past papers are still useful if you choose questions carefully. NESA's sample exam materials are the closest guide to the new format.

What changed in Mathematics Advanced

The biggest changes are where topics sit, not what calculus or algebra looks like. Four shifts matter most for Year 12 students.

Topic	Old course (2017 syllabus)	New course (2024 syllabus)	What it means in Year 12
Graph transformations	Taught in Year 12	Starts in Year 11 (reflections, translations, dilations, circles). Year 12 extends it to trigonometric graphs and modelling.	Year 12 assumes students can already transform graphs. Weak spots here show up early.
Discrete probability distributions	Taught in Year 11	Moved to Year 12, inside Random variables, alongside continuous random variables and the normal distribution	Year 12 statistics is now one larger topic covering all the probability distributions.
Sequences and series	Part of the financial maths topic	Its own Year 12 area. Financial mathematics (loans and annuities) is separate and builds on geometric series.	Students need series working well before they reach loans and annuities.
Bivariate data (correlation and regression)	A Year 12 topic, with descriptive statistics	Not in the new focus areas	Skip these questions when using older past papers.

The seven Year 12 areas are further graph transformations and modelling, sequences and series, differential calculus, integral calculus, applications of calculus, random variables, and financial mathematics.

The Department of Education also lists some broader changes:

• One overall "working mathematically" outcome, built into every topic. Expect more questions that ask students to reason, explain and connect ideas, not only calculate.
• Technology built into the content and examples.
• A clearer syllabus structure, with some content moved between courses.
• Updated requirements for school-based assessment in Years 11 and 12.
• No shared content with Mathematics Standard in the HSC exam.

What the first new HSC exam looks like

The 2027 Mathematics Advanced exam is one written paper worth 100 marks, with 3 hours of writing time plus 10 minutes of reading time.

Part	Marks	What's in it
Section I	10	Objective-response (multiple-choice) questions
Section II	90	37 to 42 items, some with several parts. At least two items are worth 4 or 5 marks.

A few details are worth knowing early:
• The exam is based on the Year 12 course, but Year 11 is assumed knowledge and can be examined. Graph transformations, trigonometry and early calculus from Year 11 all feed into Year 12 questions.
• A reference sheet is provided, and NESA-approved calculators are allowed. Students should practise with the reference sheet from the start of Year 12, so they know what's on it and what isn't.
• Longer 4–5 mark questions reward clear working. These are where the "working mathematically" focus shows up most: setting out reasoning step by step, not just reaching an answer.

Past papers and sample exams: what still works

No HSC exam has been set on the new syllabus yet, so the class of 2027 can't rely on a stack of matching past papers. Older papers still help if you choose questions carefully.

• Start with NESA's sample exam materials. NESA published sample HSC exam materials for the new Mathematics Advanced syllabus in February 2025. They're the closest guide to the format and style of the 2027 paper.
• Use 2020–2026 HSC papers by topic. These were written for the 2017 syllabus, which is much closer to the new course than papers from earlier years. Most calculus, functions, trigonometry, sequences and finance questions are still good practice.
• Skip what's no longer in the course. Leave out bivariate data questions (correlation and regression).
• Watch where topics now sit. Discrete probability distributions now belong with Year 12 random variables, and graph transformations start in Year 11. Older papers still cover them, so use those questions.
• Older papers include questions shared with Standard. They're fine for practice, but the 2027 Advanced paper will have none.

If you're in Mathematics Standard

Mathematics Standard follows the same timeline: the new Year 12 course started in Term 4 2026, and the first HSC exam on it is in 2027.

• Standard and Advanced exams are now completely separate, with no shared questions. Standard students should practise from Standard-only questions and NESA's Standard sample materials, not from shared sections of older papers.
• Standard 1 and Standard 2 both continue in Year 12. Standard 2 goes further, with more complex content and modelling. Standard 1 is graded A to E using school-based assessment.
• The broader changes match Advanced: one working-mathematically outcome, technology built into the content, updated school assessment requirements, and some content moved.

If you're unsure whether Standard or Advanced is the better fit for 2027, talk to your child's maths teacher early in Term 4. Moving from Advanced to Standard is usually possible during the year. Moving up gets harder the longer you wait.

A term-by-term plan to the 2027 HSC

Steady weekly work beats a late rush. This plan spreads the year into clear stages, so students always know what to focus on next.

When	Focus	What to do
Term 4 2026 (now)	Strong foundations	Fix any gaps in Year 11 work, especially graph transformations, trigonometry and early calculus. Get to know the reference sheet. Read through one NESA sample exam to see the new format.
Summer holidays	Light, regular practice	A few short sessions a week on weaker Year 11 topics. Keep a simple error log of questions that went wrong and why.
Term 1 2027	Keep pace with class	Review each week's lesson the same week. Practise topic questions from older papers as each topic is taught. Prepare well for the first school assessment task.
Term 2 2027	Connect topics	Move to mixed-topic sets and multi-step questions, such as calculus applied to graphs or series applied to finance. Start timing some sections.
Term 3 2027	Full exam practice	Most schools hold trial HSC exams this term. Do full timed papers, starting with the NESA sample exam, and review every mistake in the error log.
Term 4 2027	The HSC	Short daily review, rest and confidence. Revisit the error log and the reference sheet.

A monthly check-in helps: which topics feel secure, which don't, and what changes next month. Small corrections each month add up to far more than one big push before the trials.

How Numerion Academy helps

Numerion's Year 12 Maths Advanced program gives students a structured path through the new course, in small online groups.

• Small groups of no more than 4 students, fully online, with two 1.5-hour classes a week
• A free 45-minute diagnostic assessment before starting, done without a calculator, followed by a written report on strengths and gaps
• Topic notes before every session and homework after it, so each lesson builds on the last
• Monthly written progress reports, plus an extra 1-hour session each month for questions
• Taught by a teacher with more than 10 years' experience teaching higher-level maths