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SACE · SACE Stage 2 · official past papers

SACE Mathematical Methods past exams 2017–2025, by year and topic

The official SACE Board exams, marking guides and examiner reports we index, organised by topic and subtopic and labelled with the study design it was written under. Open the official paper, work the question in your own workspace, or bring a tutor into it live.

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Not sure what a topic below is actually meant to cover? Read the syllabus for Mathematical Methods, area by area →

ATARMAxxing indexes 9 official SACE Board Mathematical Methods papers from 2017 to 2025, across 6 topics. Every paper opens on the SACE Board website.

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100-mark format from 2020 — compare with current outline · 2020–2025Older 146-mark format — question practice only · 2017–2019

SACE Mathematical Methods exams by year: official papers & marking guidance

Past exams indexed: 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017. Open the official SACE Board papers, with marking guidance where available.

YearStudy designOfficial paper(s)Marking guidance
2025 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2024 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2023 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2022 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2021 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2020 SACE Mathematical Methods exam100-mark format from 2020 — compare with current outlineOfficial Mathematical Methods examination paper ↗Marking guidance ↗
2019 SACE Mathematical Methods examOlder 146-mark format — question practice onlyOfficial Mathematical Methods examination paper ↗—
2018 SACE Mathematical Methods examOlder 146-mark format — question practice onlyOfficial Mathematical Methods examination paper ↗—
2017 SACE Mathematical Methods examOlder 146-mark format — question practice onlyOfficial Mathematical Methods examination paper ↗—

9 official papers across 9 years (2017–2025), 6 with marking guidance, published by SACE Board. These span more than one study design; the most recent is 100-mark format from 2020 — compare with current outline. Earlier papers may cover material that has since changed.

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The rest of the syllabus

Question-level mapping for these areas is still being verified. Every official paper covering them is in the year table above.

  • Topic 1: Further differentiation and applications — Subtopic 1.1: Introductory differential calculus · Subtopic 1.2: Differentiation rules · Subtopic 1.3: Exponential functions · Subtopic 1.4: Trigonometric functions · Subtopic 1.5: The second derivative
  • Topic 2: Discrete random variables — Subtopic 2.1: Discrete random variables · Subtopic 2.2: The Bernoulli distribution · Subtopic 2.3: Repeated Bernoulli trials and the binomial distribution
  • Topic 3: Integral calculus — Subtopic 3.1: Anti-differentiation · Subtopic 3.2: The area under curves · Subtopic 3.3: Fundamental theorem of calculus · Subtopic 3.4: Applications of integration
  • Topic 4: Logarithmic functions — Subtopic 4.1: Using logarithms for solving exponential equations · Subtopic 4.2: Logarithmic functions and their graphs · Subtopic 4.3: Calculus of logarithmic functions
  • Topic 5: Continuous random variables — Subtopic 5.1: Introduction to continuous random variables · Subtopic 5.2: Normal distributions · Subtopic 5.3: Sampling
  • Topic 6: Sampling and confidence intervals — Subtopic 6.1: Confidence intervals for a population mean · Subtopic 6.2: Population proportions · Subtopic 6.3: Confidence intervals for a population proportion

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