Mathematics Extension 1

Official curriculum and assessment

To start HSC Mathematics Extension 1 revision, open the 2025 Main examination paper. Use the official resources below to choose a task, attempt it independently and check your response against the available assessment guidance. The practice sequence below explains how to turn that review into a focused next attempt. Confirm the paper’s course and syllabus year before using it.

• 2025 Main examination paper (PDF)
• 2025 Main examination marking guidance (PDF)
• 2025 Main examination examiner feedback (PDF)
• 2024 Main examination paper (PDF)
• 2024 Main examination marking guidance (PDF)
• 2024 Main examination examiner feedback (PDF)
• 2023 Main examination paper (PDF)
• 2023 Main examination marking guidance (PDF)
• 2023 Main examination examiner feedback (PDF)

Editorial guidance prepared 3 November 2026.

How to practise this subject

These practice suggestions are editorial guidance from Australian Study Resources.

1. Open the 2025 Exam, Q2. Task focus — Multiple-choice: compute the vector projection of one 2D vector onto another. Attempt it before consulting the marking guidance, then identify the evidence or working that supports your answer.
2. Open the 2025 Exam, Q4. Task focus — Multiple-choice: find the mean and variance of a Bernoulli random variable from a given probability function. Attempt it before consulting the marking guidance, then identify the evidence or working that supports your answer.
3. Open the 2025 Exam, Q10. Task focus — Multiple-choice: apply inverse-function differentiation rules twice to find the second derivative of an inverse function at a point. Attempt it before consulting the marking guidance, then identify the evidence or working that supports your answer.
4. Record the specific point you missed, write a corrected response, and attempt another question that requires the same skill. Check older material against your current course before reusing it.