WACE Mathematics Methods

WACE Mathematics Methods exam (SCSA)

Quick answer. The WACE Mathematics Methods exam, set by SCSA, is one sitting in two sections: Section One: Calculator-free (35% of the exam, 5 minutes reading and 50 minutes working) and Section Two: Calculator-assumed (65%, 10 minutes reading and 100 minutes working). A formula sheet is supplied for both sections. In Section Two you can use up to three calculators, CAS included, and two unfolded A4 sheets of notes. Your exam mark is then averaged with your moderated school mark to give your combined mark.

This guide describes the SCSA ATAR course examination for Mathematics Methods Units 3 and 4, as sat in 2020 to 2025 and timetabled for 2026 under the Year 12 Information Handbook 2026. The format comes from the examination design brief in the 2026 Year 12 syllabus (the 2027 edition prints the same brief, see the section on what changes from 2027 below). It is the exam guide. For past papers by year, go to WACE Mathematics Methods past exams (SCSA). For the topics that carry the marks and the ones students lose them on, see most tested topics and hardest topics.

What does the SCSA examination design brief say?

The Year 12 syllabus prints the brief the exam panel works to. In the 2026 edition it is on pages 18 and 19. The exam is based on Units 3 and 4 only, and the syllabus says it is a representative sampling of that content.

Section One: Calculator-freeSection Two: Calculator-assumed
Share of the exam35%65%
Number of questions5 to 108 to 13
Reading time5 minutes10 minutes
Working time50 minutes100 minutes
Special itemsNoneDrawing instruments, templates, notes on two unfolded A4 sheets, up to three calculators (scientific, graphic and CAS permitted)
OtherA changeover period of up to 15 minutes in which you can't workCandidates are assumed to have a CAS calculator

The brief prints percentages, question counts and times. It does not print a mark total for either section or for any question. The mark totals in the table further down this page come from the papers, not from the brief.

Two statements in the brief shape how you prepare:

  • Section One examines content and procedures that can reasonably be completed without a calculator, "without undue emphasis on algebraic manipulations or time-consuming calculations". Expect exact values and manageable algebra, not long arithmetic.
  • Section Two assumes a calculator and can include unfamiliar situations, where you choose a model, adapt it, compare your solution with the situation and present your findings in context.

The brief also repeats the working rule: for any question or part question worth more than two marks, valid working or justification is required for full marks. The brief lists the formula sheet under Section Two. The 2020 to 2025 papers supply it with Section One as well, as described below.

How is the content weighted in the Methods exam?

The syllabus does not print a mark weighting for each topic. What it does print is the teaching time for each topic across Units 3 and 4, which is the nearest official indication of emphasis. Teaching hours are not exam marks, and SCSA does not say the exam follows them.

UnitTopicNotional hours
33.1 Further differentiation and applications20
33.2 Integrals20
33.3 Discrete random variables15
44.1 The logarithmic function18
44.2 Continuous random variables and the normal distribution15
44.3 Interval estimates for proportions22

Source: the Year 12 syllabus, 2026 edition, pages 8 to 14. The hours sum to 55 for each unit and 110 for the pair, and both editions print the same figures. The 40% / 20% / 40% split you may have seen (Response, Investigation, Examination) is the weighting of school-based assessment types, which feeds your school mark. It is not the weighting of the ATAR course examination. For how marks have actually been distributed across topics on past papers, see most tested topics.

What is on the 2026 Methods formula sheet, and what is not?

SCSA publishes a four-page Mathematics Methods formula sheet for 2026 (reference 2025/113745). Page 1 is the cover and pages 2 to 4 hold the content. It is valid for teaching and examining until 31 December 2026. Read it from the official PDF; SCSA permits copying the sheet only unchanged and for non-commercial educational use, so this guide describes it and does not reproduce it.

On the sheet, by heading:

  • Differentiation and integration (page 2): six derivative and integral pairs (powers, the exponential, printed as eax−be^{ax-b} for the derivative and eaxe^{ax} for the integral, the natural logarithm, the f′/ff'/f form, and sine and cosine of ax−bax-b). The product, quotient and chain rules, each printed in both Leibniz and prime notation. Both halves of the fundamental theorem of calculus, the increments formula, and exponential growth and decay.
  • Mensuration (page 3): areas of the parallelogram, triangle (including the 12absin⁡C\tfrac12 ab\sin C form), trapezium and circle, and volumes of the prism, pyramid, cylinder, cone and sphere, with total surface area for the cylinder, cone and sphere.
  • Trigonometry (page 3): two results only, the Pythagorean identity and tan⁡x\tan x as sin⁡x\sin x over cos⁡x\cos x.
  • Logarithms (page 3): the link between log and index form, the inverse relationships, the product, quotient and power laws, and the natural log.
  • Probability (page 4): the complement rule, the addition rule and conditional probability. A table giving the mean and variance for Bernoulli, binomial, discrete and continuous random variables, with the probability function for the binomial and discrete cases and P(a≤X≤b)P(a \le X \le b) as an integral for the continuous case. A sample-proportion block with the mean, standard deviation, margin of error and confidence interval for a proportion.

Not on the sheet:

  • The sine rule, cosine rule, double-angle identities, exact trigonometric values and radian conversion.
  • Derivatives or integrals of tan, integration by parts or substitution, and any area-between-curves or numerical integration rule.
  • The definition of the binomial coefficient, independence, Bayes' rule and the law of total probability.
  • The normal and uniform distributions, any standard normal table, and the z-values for particular confidence levels. In the margin-of-error row, z is not defined.

The sheet carries this note: any additional formulas the examination panel identifies as necessary will be included in the body of the question. So the sheet not listing something does not mean a question will never need it, only that you can't count on the sheet to supply it. The list above is also a Section One checklist: a result such as the log laws appears on the sheet, but the way you rearrange and apply it is yours to practise without a calculator.

What changes from 2027?

SCSA has published a separate Year 12 syllabus for teaching from 2027, effective 1 January 2027. Comparing it with the 2026 edition, the examinable content, the topic hours, the assessment weightings and the examination design brief are word for word the same. The rationale and aims were rewritten and the general capabilities were updated, as the 2027 edition's note on WACE Refreshment says.

So on the published documents there is no change to what is examined or to the format in the table above. The 2026 formula sheet states that it is valid only until 31 December 2026, so check that SCSA has published a sheet for 2027 before you rely on this guide's list of what is on it.

What is in the WACE Mathematics Methods exam?

Every paper from 2020 to 2025 uses the same structure table on page 2 of the Section One booklet. The two sections are separate Question/Answer booklets, and every question in both is compulsory.

YearSection One questionsSection One marksSection Two questionsSection Two marks
20207511097
202175110100
20226549100
2023553996
202475110100
20257471097

Source: the "Structure of this paper" table in each SCSA ATAR course examination. The mark totals move by a few marks a year. The percentages do not: Section One is 35% and Section Two is 65% of the exam on every paper.

Each part carries a printed mark value. The instructions on page 2 say any question or part question worth more than two marks needs valid working or justification for full marks, so the mark value tells you how much reasoning to show.

How long is the exam, and when is it in 2026?

In 2026 the Mathematics Methods exam is on Monday 2 November, with a 9.20 am start, according to the SCSA written examinations timetable. Check your personalised timetable for your own venue and session. The WACE exam timetable (SCSA) lists every course.

PartReading timeWorking time
Section One: Calculator-free5 minutes50 minutes
Section Two: Calculator-assumed10 minutes100 minutes

That is 165 minutes of reading and working time in total. Reading time is for reading only: no marking the paper with a pen, pencil, highlighter or fingernail, and no calculator. Both sections run at about a minute a mark, so a 3-mark part that has taken you five minutes needs a decision.

The sitting procedure is part of the exam. Both sections and the formula sheet are on your desk, and your notes, Section Two and your calculator go on the floor under your seat. You can't touch them until you are told to. If you finish Section One early you wait. Section One is collected before Section Two starts, and you can't leave during Section One.

What calculators and notes can you use?

Section One: Calculator-freeSection Two: Calculator-assumed
CalculatorNoneUp to three: scientific, graphic or CAS, any brand or model
NotesNoneUp to two unfolded A4 sheets
Formula sheetSuppliedSupplied (retained from Section One)

The calculator rules in the Year 12 Information Handbook 2026, Part II apply to every calculator you bring:

  • It must be silent, hand-held, powered by its own battery or solar cell, and unable to communicate wirelessly.
  • You supply your own spare batteries. A flat or faulty calculator is not treated as misadventure, and you can't borrow one from another candidate once you are in the room.
  • Instruction booklets and removable covers count as unauthorised material.
  • Memories do not have to be cleared before you go in.

Notes can be handwritten, typed, photocopied, commercially produced or laminated, on any colour of paper, and written on both sides. They must be flat and unfolded, with no pages joined by glue or tape and no sticky notes attached. The content can come from any source. Two sheets means two: SCSA does not allow more than the prescribed number.

How is the WACE Mathematics Methods exam marked?

SCSA publishes a marking key for each section. For every part it gives a worked solution and, under it, "specific behaviours": the individual things each mark is awarded for. The 2025 paper's instructions say to show your working in enough detail for answers to be checked and for marks to be awarded for reasoning. They add that incorrect answers given without supporting reasoning cannot be allocated any marks, and that any question or part question worth more than two marks needs valid working or justification for full marks.

Two habits follow from that structure:

  1. Write the set-up line. Keys often give a mark for a correct statement of the integral, equation or probability before any evaluation. It is the cheapest mark in a part and the one lost when you go straight to the answer.
  2. Match the verb. Parts that say "determine", "show" or "justify" have different expectations. A "show" part gives you the result, so the marks are for the steps that lead to it. SCSA's 2025 report said answers to 'show' questions often did not include enough intermediate steps to justify the result.

How much is the exam worth?

In a written-only course such as Mathematics Methods, your combined mark is the average of your ATAR course examination mark and your moderated school mark, so the exam is half of your combined mark. The moderation step puts your school mark on the same scale as the exam marks at your school, which is why the exam matters even for the school half. How the combined mark, scaling and the ATAR fit together is in how WACE works (SCSA), and the study plan is in how to prepare for WACE exams (SCSA).

How did students score in 2024 and 2025?

SCSA publishes a two-page summary examination report for the course each year. These are the Mathematics Methods figures from the 2024 and 2025 reports.

YearCandidates attemptingOverall meanSection One meanSection Two mean
20243,97363.72%58.76%66.39%
20254,18565.03%64.70%65.22%

The report prints each section's mean as a percentage of the section and as a score out of 35 or 65, the scale of the exam weighting. In 2024 the report said Section One was the harder section, citing both gaps in understanding and gaps in technical skill. In 2025 the two sections were within about half a percentage point. Treat a two-year comparison as two data points: the papers differ, and the 2025 paper had a smaller Section One (47 marks).

What do the examination reports say costs marks?

These findings are paraphrased from the 2024 and 2025 examination reports. They describe the whole state cohort, so they carry more weight than any practice-site data, including ours.

Content areas named in 2024:

  • Rectilinear motion concepts, including the difference between distance and displacement and between speed and velocity.
  • Representing areas between curves with definite integrals, especially when a bound is made up of more than one function.
  • Log laws, manipulating logarithmic expressions and reading graphs of logarithmic functions.
  • Basic algebra in Section One.

Content areas named in 2025:

  • Logarithms (Questions 7 and 17), rectilinear motion (Question 6) and trigonometric functions (Question 14).
  • Functions defined by an integral, a Section One idea where candidates showed a conceptual gap.
  • Confidence intervals: routine calculation went well, but interpreting an interval against a claim went less well. The report asks that an interval be read in terms of statistical evidence, not as proof.

Technique, across both years:

  • Written explanations lacked clarity, terminology and precision. The 2024 report said students generally underperform when asked to explain.
  • In bias questions, answers should say how the sampling method makes one part of the population more or less likely to be chosen, in the context of the question. A generic answer misses the point.
  • Working was often disorganised, and some of the errors came from that.
  • In graph questions, answers did not always follow the instruction or place key features accurately, such as turning points and intercepts.
  • "Show" questions often lacked the intermediate steps to justify the result.
  • Arithmetic slips with fractions cost marks in Section One.
  • The 2025 report asked for correct mathematical notation, not calculator language or syntax.
  • In optimisation questions that specify calculus, full marks need a second derivative test or a sign test to confirm the stationary point.
  • Context questions need units, and answers should be checked for reasonableness (a probability between 0 and 1, an integer where one is required).

What goes wrong with CAS and radians?

Both reports name the same trap. Trigonometric calculus on a CAS calculator has to be done in radian mode. The 2024 report advised using radians for trigonometric calculus. The 2025 report said the Section Two questions that presented the greatest challenges included ensuring radian mode was used when differentiating and integrating trigonometric functions on a CAS calculator.

Common mistakes

  • Going straight to the answer in a 3-mark part. The instruction about working is printed in the instructions on page 2 of each section. Write the set-up, the key step and the answer.
  • Relying on the CAS output as your working. The 2025 report asked for a balance: use the calculator efficiently, and still document the key steps, especially in a "show" question.
  • Leaving Section One arithmetic unchecked. There is no calculator to catch a fraction slip, and the 2025 report said some Section One answers were affected by arithmetic errors with fractions.
  • Answering an explanation question in general terms. Name the quantity, say what it does and tie it to the situation in the question.
  • Ignoring an instruction about method. When a question tells you to use a graph, the 2025 report wanted evidence of that process and not a calculator result.
  • Forgetting units and context in applied questions.

Weak versus strong answers

These pairs illustrate the report advice above. They are rewrites for practice, not real candidate work.

SituationWeakerStronger
Explaining a source of bias"The sample is not random so it is biased."Says which group the method makes more or less likely to be sampled and what that does to the result in this context.
A "show" questionWrites the given result as the last line with one step before it.Writes each algebraic or calculus step between the set-up and the given result, so no step is skipped.
A CAS answer in a 3-mark partWrites the numerical output only.States the integral or equation entered, then the value, with the relevant units.
Reading a confidence interval"The interval proves the claim is true."Compares the interval with the claim and states what the evidence supports, without calling it proof.
Optimisation with calculusFinds the stationary point and states it is a minimum.Finds the stationary point and confirms its nature with a second derivative or sign test.

What does our own marking data add?

Across 19,692 marked attempts on AusGrader, questions mapped to this course average 60.1%. The verb determine carries 39.7% of the marks on the 2020 to 2025 papers, and evaluate has the lowest average at 53.0%. These are self-selected users practising when they chose to, not the SCSA cohort under exam conditions, and the SCSA reports above come first. The tables behind these figures, with attempt counts, are in WACE Mathematics Methods hardest topics.

How to prepare for the exam

  1. Do whole papers in the real format. Sit Section One in 50 minutes with no calculator, then Section Two in 100 minutes.
  2. Mark with the key, mark by mark. Write down which specific behaviour you missed, not just the total.
  3. Keep a Section One fluency list. Log laws were named in both the 2024 and 2025 reports, and fraction arithmetic in 2025.
  4. Build your notes sheets from your own mistakes, not from the textbook contents page.
  5. Practise with CAS in radian mode and check the mode at the start of Section Two.

You can work questions from SCSA past papers for this course, marked against the marking key criteria, in the WACE Mathematics Methods question bank. Start with the topics at the top of the hardest topics priority list.

Before you walk in

  • Do I know which things go under my seat at the start of Section One?
  • Is my calculator in radian mode, with fresh batteries and a spare set?
  • Are my notes two flat, unfolded A4 sheets with nothing attached?
  • Have I practised a full Section One in 50 minutes without a calculator?
  • Do I write the set-up line before the working in any part worth more than two marks?
  • Do I check each answer for sense: probabilities between 0 and 1, units, whole numbers where required?

Frequently asked questions

Can I use my notes in Section One of the WACE Methods exam?

No. The two A4 sheets of notes are allowed in Section Two: Calculator-assumed only. Before Section One starts you put your notes, your calculator and Section Two of the paper on the floor under your seat, and you can't touch them until the supervisor tells you to. A formula sheet is supplied for both sections.

Is the WACE Methods exam one sitting or two?

One sitting with two sections. Section One: Calculator-free has 5 minutes of reading time and 50 minutes of working time. Section Two: Calculator-assumed has 10 minutes of reading time and 100 minutes of working time. Section One is collected before you start Section Two, and you can't leave during Section One.

Which section is worth more in the WACE Methods exam?

Section Two: Calculator-assumed is 65% of the exam and Section One: Calculator-free is 35%. The printed mark totals differ from year to year, but the 35 and 65 percentages have been the same on every paper from 2020 to 2025.

Do I lose marks in Methods for answers with no working?

Yes. The instructions on the 2025 paper say incorrect answers given without supporting reasoning can't be allocated any marks, and that any question or part question worth more than two marks needs valid working or justification for full marks. Marking keys also list what each mark is for, such as stating the integral before evaluating it.

What did SCSA say students got wrong in the 2025 Methods exam?

Logarithms, rectilinear motion and trigonometric functions were the content areas named. The report also named written explanations lacking precision, disorganised working, graphs that ignored instructions, 'show' questions with too few steps, and not staying in radian mode on a CAS calculator for trigonometric calculus.

Sources

  • ATAR Mathematics Methods Course Examination — Calculator-free, SCSA, 2025, cover pages and instructions, 2020 to 2025 papers. Structure tables, reading and working time, materials, the instruction to show working and the question formats across six papers.
  • ATAR Mathematics Methods Course Examination — Calculator-assumed, SCSA, 2025, cover pages and instructions, 2020 to 2025 papers. Structure tables, reading and working time, materials and the question formats across six papers.
  • Mathematics Methods ATAR Year 12 Syllabus, SCSA, 2026, pp. 1, 4, 8-14 (units and hours), 15-16 (assessment weightings), 17-19 (examination design brief), 24-28 (glossary). The 2026 edition, effective 1 January 2026. Printed page numbers. The examination design brief, the statement that the exam is based on Units 3 and 4, and the topic hours.
  • Mathematics Methods ATAR Year 12 Syllabus for teaching from 2027, SCSA, 2026, Important information page (version note), pp. 3, 7-13 (units and hours), 14-15 (assessment weightings), 16-17 (examination design brief). The 2027 edition, effective 1 January 2027. Compared with the 2026 edition for the changes note. Printed page numbers.
  • Mathematics Methods ATAR Course Formula Sheet 2026, SCSA, 2025, pp. 1-4. Reference 2025/113745, valid until 31 December 2026. Described by heading, not reproduced; SCSA permits copying only unchanged and for non-commercial educational use.
  • ATAR Mathematics Methods Course Marking Key — Calculator-free, SCSA, 2025, Calculator-free Question 1. The solution and specific behaviours layout. The worked example is adapted from the 2025 Calculator-free key and labelled as adapted.
  • Year 12 Information Handbook 2026, Part II: Examinations, SCSA, July 2026, pp. 19-21, 34-35. Calculator and notes rules, reading time, the sitting procedure for the two sections and the Appendix C materials table.
  • 2026 Year 12 ATAR course written examinations timetable, SCSA, June 2026, pp. 1, 3. The Mathematics Methods date and start time, and reading and working time for the two sections.
  • ATAR course examination reports 2024 and 2025: Mathematics Applications, Mathematics Methods and Mathematics Specialist, SCSA, 2025, pp. 1-2 of each report. Candidate numbers, section means, areas of weakness and advice to candidates. Paraphrased throughout.
  • WACE Manual 2026, SCSA, April 2026, pp. 55-58. How the combined mark averages the exam mark and the moderated school mark.
  • AusGrader marking data, WACE Mathematics Methods, AusGrader. 19,692 marked attempts on questions from board external papers by self-selected AusGrader users. Not a SCSA cohort.

Syllabus and assessment material referenced in this guide is used under licence, © School Curriculum and Standards Authority. See our SCSA licensing notice. The School Curriculum and Standards Authority does not endorse this publication or product.

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