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WACE Mathematics Applications ATAR exam strategy: The 2026 guide

WACEMathematics ApplicationsStudy guide13 min read

How the 2026 WACE Mathematics Applications ATAR exam works: calculator-free and calculator-assumed sections, times, content weightings, notes and formula sheet, command words, worked examples from both sections, common mistakes and a revision plan to 6 November.

Jump to a section
  1. The exam at a glance
  2. Where the marks come from
  3. Section One: calculator-free (50 minutes)
  4. Section Two: calculator-assumed (100 minutes)
  5. Command words in Applications
  6. Common mistakes that cost marks
  7. Five-week plan to 6 November

The exam at a glance

2026 WACE Mathematics Applications ATAR exam

Friday 6 November 2026, 9.20 am. Section One (calculator-free): 5 minutes reading, 50 minutes working, 35 percent of the exam. Section Two (calculator-assumed): 10 minutes reading, 100 minutes working, 65 percent of the exam. Based on Units 3 and 4 only.

These details come from the examination design brief in the SCSA Year 12 syllabus and from the SCSA 2026 timetable. The current syllabus on the SCSA website is the authoritative version, so check it if anything here differs. The design brief in the syllabus version we checked also gives:

  • Section One: 5 to 10 questions. Standard items only, with no calculator and no notes.
  • Section Two: 8 to 13 questions. Up to three calculators (the paper assumes CAS capability), notes on two unfolded A4 sheets, and a formula sheet.
  • Working required: for any question or part worth more than two marks, valid working or justification is required for full marks.

Your WACE course score combines your moderated school mark and your standardised exam mark 50:50, so this one sitting carries as much weight as your whole year of school assessment.

Where the marks come from

The design brief sets percentage ranges for three content areas. The ranges apply to the whole exam, not to each section:

Content area Share of the exam Revise with
Bivariate data analysis and time series about 30 to 35 percent Data and time series deep dive
Growth and decay in sequences, loans, investments and annuities about 30 to 35 percent Finance and networks deep dive
Graphs, networks and decision mathematics about 30 to 40 percent Finance and networks deep dive

The practical message: each area is worth about a third of your mark, so a weak topic cannot be hidden. If networks feel shaky, a third of the paper is at risk.

Section One: calculator-free (50 minutes)

Section One tests whether you understand the models without a machine doing the work. Expect short recurrence relations, reading and completing networks, Euler's formula, critical paths from a small activity table, interpreting a scatterplot or residual plot, and seasonal index arithmetic with friendly numbers.

Section One style: recurrence relation

A sequence is defined by Tn+1=1.5Tn−2T_{n+1} = 1.5T_n - 2 with T1=6T_1 = 6. Find T4T_4 and describe the long-term behaviour.

T2=1.5(6)−2=7T_2 = 1.5(6) - 2 = 7, T3=1.5(7)−2=8.5T_3 = 1.5(7) - 2 = 8.5, T4=1.5(8.5)−2=10.75T_4 = 1.5(8.5) - 2 = 10.75.

The steady-state value solves T=1.5T−2T = 1.5T - 2, giving T=4T = 4. The multiplier 1.51.5 is greater than 1 and the terms start above 4, so they increase without bound.

Show each line. A single final number loses the method marks if it is wrong.

Section One style: Euler's formula

A connected planar graph has 8 vertices and 12 edges. How many faces does it have?

Euler's formula gives v−e+f=2v - e + f = 2, so 8−12+f=28 - 12 + f = 2 and f=6f = 6. The unbounded outside region counts as one of the faces.

Section Two: calculator-assumed (100 minutes)

Section Two is where the financial solver, regression and matrix features earn their keep. The marks, though, are still for showing the set-up: write the recurrence relation or the solver inputs, name the variables and interpret the answer.

Section Two style: reducing-balance loan

Mia borrows $350 000 at 6 percent per annum, compounding monthly, and repays it with equal monthly payments over 25 years. Find the monthly repayment and the total interest paid.

Solver inputs: N=300N = 300, I%=6I\% = 6, PV=350 000PV = 350\,000, FV=0FV = 0, with 12 payments and 12 compounding periods per year.

Monthly repayment: about $2255.05.

Total paid is 300×2255.05=676 515300 \times 2255.05 = 676\,515 dollars, so the total interest is about 676 515−350 000=326 515676\,515 - 350\,000 = 326\,515 dollars.

The recurrence relation for the balance is An+1=1.005An−2255.05A_{n+1} = 1.005A_n - 2255.05 with A0=350 000A_0 = 350\,000. Writing it down is often a mark in itself.

Section Two style: deseasonalising

A cafe's seasonal index for summer is 1.25. Actual summer sales were $50 000. Find the deseasonalised sales and interpret the index.

Deseasonalised value =actualseasonal index=50 0001.25=40 000= \dfrac{\text{actual}}{\text{seasonal index}} = \dfrac{50\,000}{1.25} = 40\,000 dollars.

Interpretation: summer sales are typically 25 percent above the average season, so once that seasonal boost is removed, this summer's sales correspond to $40 000 of underlying trend.

Command words in Applications

SCSA writes questions with the key words in its published glossary. In Applications the ones that trip students up are:

Word What earns the marks
Determine / Calculate A correct value with the method shown, including solver inputs for calculator work.
Interpret The meaning in context, using the units and variables of the question. "The slope is 2.4" is not an interpretation. "Each extra hour of study is associated with an increase of 2.4 marks, on average" is.
Justify / Explain A reason tied to evidence: the pattern in a residual plot, a degree count, a float of zero.
Describe (an association) Direction, form and strength, plus any outliers.
Comment on reliability Interpolation or extrapolation, plus the strength of rr or r2r^2.

Common mistakes that cost marks

Where Applications marks go missing
  • Causation language. A strong correlation does not show that one variable causes the other. Say "is associated with".
  • Wrong period rate. 6 percent per annum compounding monthly is 0.5 percent per month, and NN counts months, not years.
  • Extrapolating without comment. Predicting well outside the data range is unreliable, and the question almost always wants you to say so.
  • Euler trail conditions. An Euler trail needs exactly two odd-degree vertices (or none, for an Euler circuit), and it must start and finish at the odd ones.
  • Critical path without float. When asked for the float of a non-critical activity, show latest start minus earliest start.

Five-week plan to 6 November

  1. Week of 28 September: Bivariate data and time series. Work through the data and time series deep dive, then its quiz.
  2. Week of 5 October: Sequences and finance. Drill recurrence relations by hand and financial solver set-ups until they are automatic.
  3. Week of 12 October: Networks and decision maths. Practise Prim's algorithm, shortest paths, critical paths, maximum flow and the Hungarian algorithm on paper, using the finance and networks deep dive.
  4. Week of 19 October: Two full past papers from the SCSA past exams page under timed conditions. Mark them with the marking keys and list lost marks by cause.
  5. Week of 26 October to 5 November: One more paper, then finalise your two A4 notes sheets: solver input templates, the interpretation sentences you keep forgetting, and algorithm steps.

For quick exam-style checks, use the data and time series quiz and the finance and networks quiz.

Sources & how we know this

  • mathematics-applications
  • wace
  • wace-mathematics-applications
  • exam-strategy
  • finance
  • networks
  • time-series
  • year-12
  • 2026
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