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New South Wales · HSC · Year 12

Mathematics Advanced

HSC Year 12

Official curriculum and assessment

To start HSC Mathematics Advanced 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.

Editorial guidance prepared .

How to practise this subject

These practice suggestions are editorial guidance from Australian Study Resources.

  1. Open the 2024 Exam (Section II), Q12. Task focus — Find the sum of an arithmetic series given its first term, common difference, and last term. Attempt it before consulting the marking guidance, then identify the evidence or working that supports your answer.
  2. Open the 2024 Exam (Section II), Q13. Task focus — Compare two exponential population-growth/decay models from a graph, completing a table of initial values, percentage rates of change, and a predicted future value. Attempt it before consulting the marking guidance, then identify the evidence or working that supports your answer.
  3. Open the 2024 Exam (Section II), Q14. Task focus — Find the intersection points of a parabola and another quadratic curve, then calculate the area enclosed between them by integration. 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.

Plan your next practice session

Choose one calculation from your practice sequence. Write the quantities and units, show the relationship you used and check the result by substitution or an independent estimate.

How to check calculation working before submitting an answer — includes an original example and a downloadable worksheet.

Explore AI marking on ATARMAXXING

Use automated feedback as a prompt to inspect your reasoning; check disputed steps against your teacher or the official marking guidance.