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HSC · HSC Year 12 · official past papers

Mathematics Standard 2 — past papers by topic

Every official NESA exam and examiner report 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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2017 Mathematics Standard Syllabus (Standard 2 pathway) · 2019–2025

Official papers & examiner reports, year by year

YearStudy designOfficial paper(s)Examiner report
20252017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20242017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20232017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20222017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20212017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20202017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗
20192017 Mathematics Standard Syllabus (Standard 2 pathway)Exam ↗Report ↗

All 6 exam-pack pages (2019-2025) and their PDF links were fetched directly from the official NSW Government NESA host (www.nsw.gov.au/education-and-training/nesa/...), which is where educationstandards.nsw.edu.au now redirects (301) as of 2026. Every paper/marking-guideline/marking-feedback URL was copied verbatim from a fetched official page — none fabricated. IMPORTANT CAVEAT ON QUESTIONS[]: initial attempts to read the 2023 and 2024 PDFs via the WebFetch tool's built-in summarizer produced unreliable/fabricated content (it invented calculus, circle-geometry theorems, polynomial root-finding and hypothesis-testing questions that do not exist in Standard 2 and do not appear in the real papers). I caught this by downloading the actual PDF bytes and extracting text locally with Python's pypdf library, which produced clean, verbatim, page-by-page text I read directly — every question[] entry above is grounded in that verified extraction of the real 2023 and 2024 papers only (not other years, and not WebFetch's summaries). No question text, answer choices, or examiner wording was copied — all "desc" fields are original paraphrases of the mathematical task. COVERAGE: years[] spans all 7 years this course has ever existed (2019, its first HSC sitting, through 2025) — Mathematics Standard 2 replaced Mathematics General starting with students who began Year 11 in 2018; there is no earlier "Standard 2" content and no pre-2019 papers to include. All 7 years sit under a single syllabus era (the 2017 Mathematics Standard syllabus) since the newer 2024-dated syllabus only takes effect for students starting Year 11 in 2026, so it postdates every available past paper. NESA does not publish a separately-titled "examination report" for this subject in these years — I used the "marking guidelines" PDF (which contains the criteria/sample answers markers used) as reportUrl since it is the closest official equivalent; a further "marking feedback" (Section II) document also exists for every year and its URL is included in that year's notes field for completeness. TOPICS[]: the 5-topic/16-subtopic structure was drawn from NESA's own official course-overview page text (Algebra / Measurement / Financial Mathematics / Statistical Analysis / Networks, each with named focus areas) and cross-validated against the actual content of the two fully-read papers — every real question observed maps cleanly onto this structure with no gaps, giving high confidence it reflects the true current (2017-syllabus) topic grouping. GAPS: questions[] only covers 2023 and 2024 (the two years actually PDF-extracted and read in full) — 2019-2022 and 2025 papers were not opened at question level, so no fabricated question entries were produced for those years; expanding questions[] to more years would need the same local-download-and-pypdf-extract approach (WebFetch's own summarizer proved unreliable and should not be trusted for this subject's PDFs going forward). 2025's marking-feedback document is dated 2025-12, later than most other files' 2025-05 batch, but this is consistent with the 2025 HSC sitting in Oct-Nov 2025 (before today's date 2026-07-08) and does not indicate an anomaly.

Browse by topic

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Algebra · 7 mapped questions

Types of relationships (linear, quadratic, exponential, inverse variation modelling)

Simultaneous linear equations

Non-linear relationships and their graphs

Measurement · 18 mapped questions

Non-right-angled trigonometry (sine rule, cosine rule, area of triangle, bearings, radial surveys)

Rates and ratios (unit conversion, best buys, mixing ratios, speed)

Further applications of area and volume (composite shapes, trapezoidal rule, surface area, volume of solids)

Latitude, longitude and time zones

Rates and ratios

Financial Mathematics · 16 mapped questions

Investments and loans (simple and compound interest, GST, income tax, wages/overtime)

Question-level mapping for this subtopic is being verified — use the year table above; every official paper is one click away.

Annuities (future value, present value, annuity tables)

Depreciation (straight-line and declining-balance methods)

Investments and loans

Statistical Analysis · 14 mapped questions

Bivariate data analysis (scatterplots, correlation, least-squares regression line)

The normal distribution (z-scores, empirical rule)

Sampling and data collection (sampling methods, bias)

Data displays and summary statistics (box plots, histograms, two-way tables, measures of central tendency and spread)

Probability (relative frequency, tree diagrams, conditional and compound probability)

Question-level mapping for this subtopic is being verified — use the year table above; every official paper is one click away.

The normal distribution

Bivariate data analysis

Probability

Networks · 8 mapped questions

Network concepts (network diagrams, shortest path, minimum spanning trees, network flow/maximum flow)

Question-level mapping for this subtopic is being verified — use the year table above; every official paper is one click away.

Critical path analysis (activity charts, forward/backward scanning, float time, project crashing)

Network concepts

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