VCE Units 3 & 4 · Victoria

General Mathematics Scaling VCE 2026: Raw to Scaled

VCE General Mathematics scales down in Victoria. General Mathematics scales down slightly. In the 2025 VTAC scaling report a raw study score of 30 scaled to 28.

What the 2025 VTAC report shows

Raw 30 → scaled 28

Study scores run 0–50, and VTAC's scaled study score can reach 55. This is the report's own conversion for a raw score of 30. It describes the 2025 cohort. Scaling is recalculated every year, so it is not a prediction of what your result will do.

You can't change the scaling. You can change the raw mark.

Scaling is decided by your cohort, after the exam, and nothing you do moves it. The raw mark is the only part of this you control — and the General Mathematics hub is 20 full-length model exams with mark-by-mark answer guides, revision notes, practice questions and flashcards, built for exactly that.

Preview General Mathematics free →VTAC ATAR calculator

The hub shows a sample revision note extract, one full exam question with its worked answer and the complete list of every exam and note title — no account needed to look around. Unlocking General Mathematics for life is $20 once, or $50 for any three subjects. See what's included →

What General Mathematics actually asks of you

Units 3 and 4 are assessed through school-assessed coursework and two end-of-year examinations. Examination 1 is a multiple-choice paper in which each question carries one mark, so there is no partial credit and a single slip costs the whole item. Examination 2 is a written-response paper of multi-part questions; in the most recent paper these ranged from two-mark items up to an eight-mark regression question. Both papers draw on all four areas of study, and VCAA publishes an examination report with sample responses for each paper.

The General Mathematics exam is Fri 30 Oct 2026, 2:00 pm (15 min reading + 1 hour 30 min writing (1 hour 45 min total)). Source: VCE timetable.

The 4 areas of study you are examined on

From the VCE General Mathematics Study Design (from 2023).

Data analysis
The largest area of study and the one that carries the most examination questions. It begins with classifying data as numerical or categorical, and categorical data as nominal or ordinal, then displaying it with dot plots, stem plots, histograms and boxplots and summarising it with mean, median, standard deviation, interquartile range and range. The normal distribution follows, using the 68-95-99.7% rule and standardised z-scores to move between a value and a percentage of the population. Bivariate work is the heart of the area: scatterplots, two-way frequency tables and segmented bar charts, correlation and the coefficient of determination, the least squares line with residual analysis, and interpolation as against extrapolation. Log and squared transformations linearise curved data. Time series closes the area with trend, seasonality, moving mean and median smoothing, seasonal indices and deseasonalising.
In the exam: Multiple-choice items ask you to read a statistic straight off a display or choose the correct regression equation, including after a transformation has been applied. Written questions run in long chains: identify the explanatory variable, fit the line, predict a value, decide whether that is interpolation or extrapolation, describe the association, then compute and plot a residual.
Where marks go missing: Reading a correlation coefficient or coefficient of determination as evidence of cause. Association questions expect wording that one variable is associated with the other, with direction and strength stated. Asserting causation is marked wrong even when the relationship looks obvious.
Recursion and financial modelling
Everything here is built on one idea: a starting value and a rule that generates the next term. You write first-order linear recurrence relations of the form u0 = a, un+1 = Run + d, and switch between that recursive form, an explicit rule and an amortisation table for the same situation. Simple and compound interest come first, with the effective annual interest rate used to compare accounts that compound at different frequencies. Then come the products themselves: reducing balance loans read through amortisation tables, annuities, perpetuities, and compound interest investments with regular deposits or withdrawals. Depreciation is the mirror image, using flat rate, reducing balance and unit cost methods. Questions frequently supply a partial table or a mid-term balance and expect you to work backwards to a missing rate, payment or number of periods.
In the exam: Multiple-choice items ask in which year one depreciation method overtakes another, or when cumulative perpetuity payments first exceed the principal invested. Written questions hand you an incomplete amortisation table to complete and explain, ask for both a recurrence relation and an explicit rule from a graph, and require a rate found by back-solving from a stated balance.
Where marks go missing: Mismatching the interest rate to the payment period. An annual rate quoted on a loan repaid monthly or weekly must be divided before it enters the recurrence relation, with the compounding periods counted to match. This one conversion accounts for a large share of lost marks.
Matrices
This area is largely about representing a real situation as a matrix and then letting matrix arithmetic do the work. You start with order and the named types — row, column, square, diagonal, identity, binary and permutation — then addition, subtraction, scalar multiplication and the row-by-column rule for matrix multiplication, including which products are defined at all. The determinant of a two-by-two matrix tells you whether an inverse exists, and the inverse solves systems written in matrix form. Applications take over from there: communication and adjacency matrices, dominance matrices for ranking round-robin results, permutation matrices for cyclical arrangements such as rotating timetables, transition matrices and Markov chains with their steady-state behaviour, matrix recurrence relations of the form Sn+1 = TSn + B, and Leslie matrices for age-structured populations.
In the exam: You are asked to classify a matrix, state an order, and interpret what a particular product or row sum represents in the context given. Longer questions build a Leslie or transition matrix from a described situation, project several steps forward, or work backwards from a later state matrix to an earlier one before adding a constant matrix.
Where marks go missing: Multiplying in the wrong order. Matrix multiplication is not commutative, so a transition matrix must premultiply the state matrix, and a product defined one way round may be undefined the other. Matching rows and columns to the context before calculating prevents most of this.
Networks and decision mathematics
Networks turns diagrams into answers. The vocabulary comes first — vertices, edges, degree, walks, trails, paths and cycles — along with planar graphs, bridges and Euler's formula, v + f = e + 2. Then the traversal results: Eulerian trails and circuits, which depend on how many vertices have odd degree, and Hamiltonian paths and cycles, which visit vertices rather than edges. Weighted graphs bring the optimisation problems: minimum spanning trees found with Prim's algorithm, shortest path problems, flow problems solved through maximum flow-minimum cut, and assignment problems handled by the Hungarian algorithm's row and column reductions. Critical path analysis finishes the area, using activity networks, earliest and latest start times, float time, the critical path itself, and crashing to shorten a project at the least possible cost.
In the exam: Expect a diagram with a question attached: sum the vertex degrees, apply Euler's formula, name the type of closed walk a described route represents, or find a shortest path. Project questions ask for the float of a named activity, its latest start time, and the cheapest way to cut total duration by a stated number of days.
Where marks go missing: Confusing Eulerian and Hamiltonian conditions. Eulerian trails and circuits concern traversing every edge and are decided by the number of odd-degree vertices; Hamiltonian paths and cycles concern visiting every vertex once. Applying the odd-degree rule to a Hamiltonian question produces a confident wrong answer.

Full General Mathematics study-design guide →

How scaling works in Victoria

In Victoria, VCAA gives you a raw study score out of 50 for each study. VTAC then scales it. Scaling looks at how students in that study performed across all their other studies: if a study's cohort tends to do well elsewhere, the study is treated as more competitive and its scores are adjusted upward, and if the cohort tends to do less well elsewhere, scores are adjusted downward. The result is a scaled study score between 0 and 55. VTAC then builds your aggregate from an English study, which is compulsory, plus your three next-highest scaled scores, plus 10 per cent of a fifth and sixth scaled score. Aggregates are ranked across the state and converted to an ATAR. Scaling is recalculated every year, so it is never fixed.

Source: official VTAC scaling report (PDF). Last checked 2026-08-18.

What scaling is not

Scaling is not a difficulty rating and it is not a bonus. It compares how the students in one subject performed across every other subject they took, so a subject scales down because of its cohort, not because of the paper. The consequence is practical: you cannot scale your way out of a weak result. The only lever you control is the raw mark, and the fastest way to move that is full-length timed practice against the real exam format.

VCE General Mathematics practice exams VTAC ATAR calculator

Questions

Does VCE General Mathematics scale up or down?

General Mathematics scales down slightly. In the 2025 VTAC scaling report a raw study score of 30 scaled to 28.

How does subject scaling work in Victoria?

Should I choose General Mathematics because of how it scales?

Scaling adjusts a whole cohort, not one student, so choosing a subject you will struggle in because it scales up is usually a worse trade than doing well in one that scales down. Check the prerequisites for the course you want first, then your interest and workload, and treat scaling as a tie-breaker. Scaling is also recalculated every year, so the figures in any report describe a past cohort rather than the year you are sitting.