Explore General Mathematics at accredited Level 3. Course level is distinct from the school year in which you study it.
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What will I learn?
Module 1: Mathematical modelling, problem solving and statistical investigation
Accredited course guide — check versionSelect mathematical or statistical models, use technology appropriately, interpret results in context and test the reasonableness of conclusions across statistics, sequences, finance and two-dimensional problems.
Module 2 Topic 1: Statistical analysis
Accredited course guide — check versionAnalyse categorical association with percentaged two-way tables and numerical association with scatterplots, least-squares lines, correlation, coefficients of determination and residuals. Smooth and model time series with moving averages, seasonal indices and trend lines.
Module 2 Topic 2: Growth and decay in sequences
Accredited course guide — check versionUse arithmetic and geometric sequences and series, together with first-order linear recurrence relations, to model discrete linear, exponential and steady-state behaviour.
Module 3 Topic 1: Investment, loans and annuities
Accredited course guide — check versionModel compound interest, inflation, reducing-balance loans, straight-line and reducing-balance depreciation, annuities, sinking funds and perpetuities with formulas, recurrences and calculator finance functions.
Module 3 Topic 2a: Trigonometry and Earth geometry
Accredited course guide — check versionSolve right and non-right triangle problems using trigonometric ratios, sine and cosine rules, area rules and Heron’s rule. Apply bearings, latitude, longitude, great and small circles, spherical cosine, time zones and travel calculations.
Module 3 Topic 2b: Graphs, networks and decision mathematics
Accredited course guide — check versionRepresent graphs and digraphs, analyse paths and cycles, find minimum connectors and shortest routes, schedule projects, maximise flows and optimise assignments.
How will I be assessed?
School arrangements: TASC course assessment applies to the accredited course and level, whether you take it in Year 11 or Year 12. Check criteria, work requirements and any external assessment in the course document, plus your provider’s internal assessment outline.
Needs verification: Accredited course guide (General Mathematics Level 3 (MTG315123) course and External Assessment Specifications v1.2): The external assessment is one 180-minute written examination with an additional 15 minutes of preparation time for notes on the supplied note paper and highlighting only. Sections A, B, C and D are compulsory; Section E offers two whole alternatives and students answer either Part 1 Networks and decision mathematics or Part 2 Trigonometry and Earth geometry. Each attempted section carries 36 marks and assesses one criterion: Section A Criterion 3, B Criterion 5, C Criterion 6, D Criterion 7 and E Criterion 8. A complete original practice paper contains 216 offered marks because both 36-mark Section E alternatives are supplied, while a candidate attempts 180 marks by choosing one. TASC converts each section mark to a criterion rating, so the final award is not reported as a percentage out of 180. Multiple-choice drills on this site are a learning format rather than a reproduction of the written examination. Confirm the syllabus and assessment schedule for your own completion year.
Progression and companion subjects
No complete companion or exclusion review is attached to this profile. Check the official course-entry conditions, language eligibility and your school’s sequence before enrolling. Links between resource hubs show related learning; they do not establish a compulsory prerequisite.
Will I find it hard?
Difficulty depends on your experience, interests, teaching and assessment. These are our reflection prompts, not an official difficulty rating.
- How do you feel about explaining a method and working through unfamiliar multi-step problems?
- Try the sample without looking at a worked answer, then check the steps you need to practise.
Does it scale up or down?
TASC awards and scaled TE scores are distinct. The old requirement for three final-year results was removed from 2025.
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Try a little of the subject
Modelling with data, sequences and finance: choosing the model, checking reasonableness and drawing conclusions (Criterion 3)
1. From a situation to a mathematical model A mathematical model is a deliberately simplified representation of a real situation. Begin by naming the quantity to explain or predict, its units, the input variable and the period or population to which the information applies. Then separate supplied facts from assumptions. For a savings account, the opening balance and quoted rate may be facts, while a constant rate, no fees and equal time periods are modelling assumptions. This translation matters because an algebraically correct answer can still answer the wrong question. A useful modelling cycle is: formulate the question; choose variables and assumptions; select a model; calculate; interpret; test reasonableness; and refine or report. The stages are connected. If a graph shows curved rather than constant growth, that evidence should change the proposed model. If a calculated vehicle value becomes negative, the context should change the useful domain even when the formula continues algebraically. Record these decisions so another reader can follow why the model was chosen. For example, a club has 240 members now and expects 18 additional members each month. Let n be whole months after the count and M n the membership. The recurrence M 0 = 240, M n+1 = M n + 18 , or the rule M n = 240 + 18n , represents constant absolute change. The domain is n = 0, 1, 2, … and outputs are member counts. At month 7, the model gives 366 members. A report must say “about 366 members after seven months under the constant-addition assumption”, rather than presenting 366 without its meaning or conditions. One practical way to formulate the model is to make a small variable table before calculating. For the club example, n means elapsed whole months and M n means the number of members at that
Original practice question: For x = 1,2,3,4 and y = 3,5,8,10, calculate the least-squares line y-hat = ax+b and the residual at x=3. Show the summary substitutions and interpret the residual.
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Worked solution
This is ATARMAxxing’s original sample learning material. It is not an official assessment task or a prediction of your school’s workload.
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Open the General Mathematics (Level 3) subject hub and free preview
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Sources, versions and verification dates
Profile source metadata last checked: 2026-09-08. A source check is not an endorsement by the authority or confirmation that a future course version is unchanged.
- ATARMAxxing General Mathematics Level 3 (MTG315123) course and External Assessment Specifications v1.2 guide — ATARMAxxing; 2026-09-08. Original existing study guide, not an independent official verification or a forecast of a future syllabus.
- General Mathematics MTG315123 — Level 3 — TASC; 2026-11-12. Official source snapshot; Course span 2023 onwards. Check accreditation and school delivery for your cohort.