HSC Maths Courses Explained: Standard vs Advanced vs Extension 1 and 2
Quick answer: NSW students can choose from Mathematics Standard 1, Standard 2, Advanced, Extension 1 and Extension 2 for the HSC. Standard courses focus on practical maths for everyday life and work. Advanced introduces calculus and suits students heading towards maths-heavy university courses. Extension 1 is taken with Advanced, and Extension 2 builds on Extension 1. The right choice depends on a student's current results in Year 10, the university courses they're considering, and how much maths they enjoy.
The five HSC maths courses at a glance
This guide covers NSW only. Other states have their own senior maths courses.
Mathematics Standard 1 (2 units): optional HSC exam; eligible for the ATAR from HSC 2025
Mathematics Standard 2 (2 units): practical maths with an HSC exam
Mathematics Advanced (2 units): introduces calculus; corequisite for Extension 1
Mathematics Extension 1 (1 unit): taken alongside Advanced
Mathematics Extension 2 (1 unit): Year 12 only; taken with Year 12 Advanced and Extension 1
Source: NSW Curriculum (NESA) syllabus pages.
Standard 1 and Standard 2
The Standard courses focus on maths used in daily life, work and further study that doesn't need calculus. Topics include financial maths, measurement, networks, statistics and algebra applied to real problems.
Standard 1 has an optional HSC exam. From HSC 2025, Category B was removed and Standard 1 became eligible for the ATAR (NSW Department of Education). Students who want to sit the optional exam enrol in Mathematics Standard 1 (Examination). Ask your school how this choice affects your ATAR.
Standard 2 has a compulsory HSC exam. It suits students who want a solid maths result without calculus, and who may head into courses such as business, nursing or trades-related study.
Advanced
Mathematics Advanced introduces calculus (differentiation and integration), along with functions, trigonometry, exponentials and logarithms, and statistical analysis. It's a step up from Standard in abstraction and pace.
Year 11 content is assumed knowledge for the Advanced and Extension 1 HSC exams and may be examined (NESA exam advice). Gaps from Year 11 tend to show up quickly in Year 12 calculus.
Is Advanced right for you?
A useful check is how comfortable a student is with Stage 5.3 maths in Year 10: quadratics, surds, graphing parabolas and trigonometry. Students who find these hard often find Advanced calculus harder still.
A taste of Advanced: a worked example
Question: Find the gradient of the tangent to y = x² − 4x + 1 at x = 3.
Method:
Differentiate: dy/dx = 2x − 4
Substitute x = 3: 2(3) − 4 = 2
Answer: The gradient is 2.
Students who can follow this comfortably at the end of Year 10 are usually ready for Advanced.
Extension 1
Mathematics Extension 1 is a 1-unit course taken alongside Advanced, which is a corequisite. It adds topics such as proof by induction, vectors, further calculus, binomial probability and further trigonometry.
What's changing in 2026 and 2027
New 2024 syllabuses replace the 2017 syllabuses for Mathematics Standard, Advanced, Extension 1 and Extension 2. Year 12 teaching of the new courses starts in Term 4, 2026, and the first HSC exams under the new syllabuses are in 2027 (NSW Curriculum). The 2026 HSC is the final exam for the 2017 syllabuses.
Another change: compasses and protractors will no longer be permitted in the new Advanced, Extension 1 and Extension 2 HSC exams. A reference sheet is provided, and NESA-approved calculators may be used (NESA exam advice).
If your child is in Year 11 now, they will sit the new HSC maths exams in 2027. Older resources and past papers may not match the new syllabus exactly, so teachers' guidance on which resources to use matters more than usual.
Extension 2
Mathematics Extension 2 is a 1-unit Year 12 course. Year 11 Advanced and Extension 1 are prerequisites, and Year 12 Advanced and Extension 1 are corequisites, so students take all three in Year 12 (NSW Curriculum). It covers topics such as complex numbers, further proof, integration techniques and mechanics.
Extension 2 is demanding. It suits students who enjoy maths for its own sake and are aiming for engineering, physics, maths or similar degrees.
How HSC maths counts for the ATAR
UAC allows up to 4 units of calculus-based maths to count toward the ATAR. Extension 1's unit weighting depends on whether you also take Extension 2 (UAC). For how scaling works across all subjects, see our guide on how the ATAR is calculated.
One caution: choosing a harder maths course only because it may scale well is risky. A strong result in a course a student can manage often helps the ATAR more than a weak result in a harder one.
A simple decision framework
Finds Year 10 maths hard and wants a practical course: consider Standard 2 (or Standard 1, after talking to the school)
Is solid in Year 10 Stage 5.3 maths and needs calculus for future study: consider Advanced
Is strong in Advanced-style work and enjoys problem solving: consider Advanced + Extension 1
Is excelling in Extension 1 in Year 11 and aiming for maths-heavy degrees: consider Advanced + Extension 1 + Extension 2 in Year 12
Before choosing, also check:
University prerequisites or assumed knowledge. Many engineering and science courses list Advanced or Extension 1 as assumed knowledge.
Teacher recommendations. They've seen your child's work across Stage 5.
The full subject load. A heavy maths load alongside several demanding subjects can stretch a student thin.
Common mistakes when choosing
Choosing on scaling alone. A course that's too hard can lower the result more than scaling helps.
Dropping down too late. Moving from Advanced to Standard is easier early in Year 11 than in Year 12.
Ignoring Year 11 gaps. Year 11 content is assumed knowledge for Year 12 Advanced and Extension 1.
Using outdated resources. From 2027, check that practice material matches the new syllabus for your course.
When extra support might help
Support can help when a student is between two courses, when Year 11 calculus or functions isn't sticking, or when an Extension student wants help with proof and harder problem solving.
A tutor can't guarantee an HSC band or ATAR, but can work on specific gaps and help a student practise exam-style questions. Math Make Smart offers online HSC maths tutoring, with a free first lesson. You can book a free trial lesson to see if it's a good fit.
Frequently asked questions
Can I do Extension 1 without Advanced?
No. Advanced is a corequisite for Extension 1.
Is Standard 2 a "bad" choice?
No. It's the right course for many students and counts toward the ATAR.
When are the first HSC exams under the new maths syllabuses?
2027. The 2026 HSC is the last under the 2017 syllabuses.
Can I change maths courses in Year 11?
Usually yes, early in the year. Check with your school.