General Mathematics: Units 1 to 4 explained
Applied maths without calculus: finance, statistics, networks
A broad applied course using discrete mathematics and statistics to solve problems in financial modelling, measurement, networks and data analysis, without the calculus of Methods. It underpins state courses such as VCE General Mathematics and HSC Mathematics Standard, and suits students needing solid quantitative skills for business, health and social science pathways.
Honest note on coverage: ChalkBee has real worksheet sets for parts of this subject (linked below with the units they serve), but not full Year 11-12 coverage. Use this page as unit-structure reference and your state syllabus as the operative document.
The four units
Like every ACARA senior secondary subject, General Mathematics runs across four units: Units 1 and 2 are usually taken in Year 11, Units 3 and 4 in Year 12, with achievement standards described for each pair. ACARA numbers these units without separate names; the short focus labels below are ChalkBee's, added for scanability.
Money and consumer contexts drive the arithmetic: budgeting, wages, interest and best-buys. Students meet matrices for the first time as a tool for organising information, and solve measurement problems involving shape, surface area and volume.
- Consumer arithmetic
- Algebra and matrices
- Shape and measurement
Students run the full statistical investigation cycle on single-variable data, apply trigonometry including non-right-angled triangles to practical problems, and model with linear equations and their graphs.
- Univariate data analysis and the statistical investigation process
- Applications of trigonometry
- Linear equations and their graphs
The Year 12 half begins with associations between two variables (scatterplots, correlation and least-squares regression), discrete growth and decay through arithmetic and geometric sequences, and an introduction to graphs and networks.
- Bivariate data analysis
- Growth and decay in sequences
- Graphs and networks
Students analyse time series data including smoothing and seasonality, apply recurrence-based finance to loans, investments and annuities, and use networks for decision problems such as shortest paths, minimum spanning trees and project scheduling.
- Time series analysis
- Loans, investments and annuities
- Networks and decision mathematics
Topic names inside each unit are ACARA's own; descriptions are paraphrased.
How it is assessed
Typically a mix of school-based assessment and an external exam (weights vary by state; Queensland uses three internal assessments plus a 50 percent external exam, Victoria uses SACs plus two exams). Technology (CAS or graphics calculator) is assumed throughout in most states.
Remember: ACARA publishes the national subject, but your state authority runs the actual course, assessment and certificate. See how each state and territory differs.
Where ChalkBee fits today
ChalkBee has real Year 11-12 worksheet sets for General Mathematics: financial mathematics, matrices and networks, sequences and recursion, and bivariate and time series data, all with computed answer keys. Linked below against the units they serve.
| Worksheet set | Serves |
|---|---|
| Simple and compound interest | Unit 1 consumer arithmetic and the entry point to Unit 4 finance. |
| Matrix basics | Unit 1's algebra and matrices topic. |
| Matrix arithmetic | Unit 1 matrices: addition, subtraction and scalar multiplication. |
| Matrix multiplication | Unit 1 matrices, extending into applications. |
| Correlation and scatterplots | Unit 3 bivariate data analysis. |
| Least-squares regression | Unit 3 bivariate data analysis. |
| Arithmetic sequences and recursion | Unit 3 growth and decay in sequences. |
| Geometric sequences and recursion | Unit 3 growth and decay in sequences. |
| Time series smoothing | Unit 4 time series analysis. |
| Reducing-balance loans | Unit 4 loans, investments and annuities. |
| Annuities and regular savings | Unit 4 loans, investments and annuities. |
| Shortest paths and spanning trees | Unit 4 networks and decision mathematics. |
| Critical path analysis | Unit 4 networks and decision mathematics. |
Related Foundation to Year 10 content
- Year 10 maths worksheets
Linear equations, trigonometry and statistics at Year 10 level are the assumed base for Units 1 and 2.
Other Mathematics senior subjects
Unit structure verified against the official ACARA senior secondary General Mathematics pages (Australian Curriculum v8.4). Descriptions are paraphrased in our own words; the authoritative wording is ACARA's, and your state or territory authority's syllabus governs what is actually taught and assessed. Senior secondary is a live area of change, so confirm current details with your state authority before relying on them.