HSC Maths Extension 2: Course, Assessment and Exam Guides (NESA)
HSC Mathematics Extension 2 is assessed by school tasks and a 100 mark, 3 hour exam, under the 2024 syllabus.
About the course
HSC Mathematics Extension 2 is a 1 unit Year 12 course. Your result combines your school-based assessment mark with a written exam, and NESA splits school assessment evenly between knowledge of the content and skill in Working mathematically. The 2027 cohort is the first to sit the new syllabus.
Which syllabus does HSC Mathematics Extension 2 use?
The 2027 HSC cohort sits the Mathematics Extension 2 11-12 Syllabus (2024). NESA's implementation schedule has teaching of the new syllabus starting in Term 4 of 2026, with the first HSC examination in 2027. It replaces the Mathematics Extension 2 Stage 6 Syllabus (2017). For how syllabus changes work across the HSC, see the HSC syllabuses guide.
How is Mathematics Extension 2 assessed?
Schools decide the number, type and weighting of their Year 12 tasks, but NESA makes the course components and their weightings mandatory. NESA's limits on take-home tasks and task weightings are in how the HSC works.
| Year 12 course component | Weighting |
|---|---|
| Knowledge and understanding of course content | 50% |
| Skills in Working mathematically | 50% |
Ask your teacher which of your tasks count towards each. Your school then sends NESA an assessment mark, and the HSC mark averages it with your exam mark. The guide to how the HSC works covers moderation and the HSC mark.
What does Mathematics Extension 2 cover?
It is a Year 12 only course of 60 hours. NESA lists Mathematics Advanced and Mathematics Extension 1 from Year 11 as prerequisites, and Advanced and Extension 1 in Year 12 as corequisites, so you study all three together. NESA describes the course as extending your knowledge through areas of mathematics not covered in Advanced or Extension 1, with a focus on algebra and calculus.
| Area of study | Focus area |
|---|---|
| Proof | The nature of proof |
| Vectors | Further work with vectors |
| Complex numbers | Introduction to complex numbers |
| Calculus | Further integration |
| Mechanics | Applications of calculus to mechanics |
Working mathematically sits across all five. It is part of every area, not a sixth topic.
What is the HSC Mathematics Extension 2 exam like?
The exam is a written paper worth 100 marks. You get 3 hours, plus 10 minutes of reading time. A reference sheet is provided, and NESA-approved calculators may be used.
| Section | Marks | Format |
|---|---|---|
| I | 10 | Objective-response questions |
| II | 90 | 37 to 42 items, which may contain parts; at least two items are worth 4 or 5 marks |
The exam is based on the Year 12 course and focuses on its outcomes. Advanced and Extension 1 are assumed knowledge, so a Year 12 idea can arrive wrapped in a skill from either. You also sit the Extension 1 paper, which is separate from this one.
Check the NESA exam timetable for your date.
In 2025, the median HSC mark in Mathematics Extension 2 was 87 out of 100, which UAC scaled to 89.4. Scaling changes every year. See how any result scales in the HSC ATAR calculator.
Common questions
Do I sit another maths paper as well as Extension 2?
Yes. NESA says you also complete the Mathematics Extension 1 paper in addition to the Mathematics Extension 2 paper.
Sources
- Mathematics Extension 2 11-12 (2024) Syllabus, NESA, October 2026, pp. 5-7, 23-25. Implementation dates, Year 12 course structure, enrolment details, mandatory component weightings and the HSC examination specifications.
Syllabus and assessment material referenced in this guide is used under licence, © Copyright NSW Education Standards Authority. See our NESA licensing notice. The NSW Education Standards Authority (NESA) does not endorse this product or service. NESA takes no responsibility for any errors in the reproduction of NESA Materials. Any sample examination papers or model answers accompanying the NESA Materials are not part of the NESA Materials and are in no way endorsed or authorised by NESA.