HSC · Year 12 · 2026· 15260

Mathematics Extension 2

Syllabus & assessment · Course guide

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Course at a glance

43.4 scaled meanOut of 50 · 2025 cohort. Individual results vary. 2026 HSC uses the 2017 syllabusCheck the current syllabus and upcoming changes. Use past examsPast papers and marking keys for practice.

What you'll study

Proof and vectors

Rigour and spatial reasoning

  • The Nature of Proof
  • Further Proof by Mathematical Induction
  • Further Work with Vectors
About this topic group

Develop advanced arguments and extend vector methods beyond Extension 1.

Complex numbers

A new number system

  • Introduction to Complex Numbers
  • Using Complex Numbers
About this topic group

Build and apply representations and operations for complex numbers.

Calculus and mechanics

Advanced integration in motion

  • Further Integration
  • Applications of Calculus to Mechanics
About this topic group

Extend integration methods and apply calculus to mechanical systems.

Official resources

Use the outgoing syllabus with 2020–2025 papers for the current exam.

For the 2026 HSC

Mathematics Extension 2 Stage 6 Syllabus (2017) Mathematics Extension 2 HSC exam papers Mathematics reference sheet
Next syllabus1 files
Mathematics Extension 2 11–12 Syllabus (2024)

Assessment

The 100-mark paper assumes Mathematics Advanced and Extension 1 knowledge; candidates also sit the Extension 1 exam.

10%

Objective response

10 marks

90%

Written responses

90 marks

Assessment details

Objective response

Ten objective-response questions across the course.

Written responses

Thirty-seven to forty-two items, including at least two worth 4–5 marks.

HSC Mathematics Extension 2 scaling

In 2025, 3,844 students completed Mathematics Extension 2 with a scaled mean of 43.4 out of 50 (the statewide all-course average is approximately 25).

Your score Outside the available data for Mathematics Extension 2. We use a bounded curve to estimate this score, so it may be less accurate.60/ 100
Mathematics Extension 237.0/ 50Estimated scaled mark per unit
0100
Scaled mark per unit0012.525255037.57550100Mathematics Extension 2: 60 → 37.0Your score →
━ Mathematics Extension 2
2025 data · About these estimates

Points pair marks at the same cohort percentiles in the 2025 report. They do not track individual students or guarantee that an entered mark scales to the plotted value. Lines are a visual guide. Scaling changes each year. These are Year 12 results, not predictions for Year 11.

View scaling data

Mathematics Extension 2

2025 report points
HSC markScaled mark per unit (out of 50)
7541.5
8744.7
9346.9
9648.3
9949.6
10050
View source ↗
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Syllabus updates and paper advice

Current · 2026 HSC

2026 HSC uses the 2017 syllabus

The 2017 Stage 6 syllabus and its exam specifications remain in force for the 2026 HSC.

Caution · new samples

Use 2020–2025 papers

Those papers match the current exam. New sample materials for the 2024 syllabus are designed for 2027 candidates.

Ahead · 2027 HSC

New HSC syllabus applies from 2027

New Year 12 teaching starts in Term 4 2026. The first HSC under the 2024 syllabus is in 2027.

Common questions

Does Mathematics Extension 2 scale well?

Mathematics Extension 2 had above-average scaling in 2025. This isn’t guaranteed in future years.

Which syllabus and past papers should I use?

Use the 2017 syllabus and 2020–2025 papers for the 2026 HSC. New 2024-syllabus samples target the 2027 exam.

Do Extension 2 students sit Advanced?

No. Students who satisfactorily complete Extension 2 do not sit the Mathematics Advanced HSC exam, but they do sit Extension 1.

Mathematics AdvancedYear 12 →Mathematics Extension 1Year 12 →

HSC · Year 12

Practise Mathematics Extension 2

Strengthen your understanding with targeted questions, sample answers, and detailed marking criteria for Mathematics Extension 2 on ATARIS.

Start practising Mathematics Extension 2 →