Number and Algebra
Quadratics and parabolas, functions and their graphs, and the exponential models that set up Year 11.
- Quadratic equations by factorising
- The quadratic formula
- Completing the square
NSW Mathematics Stage 5 (Year 10) syllabus strands, expressed in Dux teaching language. Dot points are our own phrasing, not syllabus prose.
Dux tracks each dot point separately, so “I did Mathematics Year 10” becomes a list of specific things you can already do and specific things you have never been asked. Open a module for all of its dot points, written out.
Quadratics and parabolas, functions and their graphs, and the exponential models that set up Year 11.
Non-right trigonometry, circle theorems and coordinate geometry - the reasoning-heavy half of Stage 5.
Bivariate data used honestly, conditional probability, and the statistical literacy to judge a claim.
A Mathematics Year 10 paper is not one question type repeated. Each command word asks for a different shape of answer, and each is worth a different number of marks.
| Command word | Question type | Marks |
|---|---|---|
| calculate | Multiple choice | 1 |
| calculate | Calculation | 2–4 |
| explain | Short answer | 2–3 |
| identify | Multiple choice | 1 |
| justify | Extended response | 4–6 |
| solve | Calculation | 3–5 |
Year 10 Assessment Task Shape — 50 marks, 75 minutes. Practice papers in Dux are assembled to this shape rather than invented, so the timing is training too.
Diagnostic first, then questions written in the shape this course uses. Written answers come back marked against the bands, not just scored.