HSC · Year 10
Year 10 Maths practice tests with worked solutions
Year 10 is where the algebra that Year 11 assumes gets built. These tests cover the whole year by topic, with a worked solution for every question rather than an answer key.
What the course asks of you
- Algebra
- Expanding, factorising and solving — the skills every later subject leans on.
- Linear and non-linear relationships
- Straight lines, parabolas, and reading a graph back into a rule.
- Measurement and geometry
- Surface area and volume, similar figures, and trigonometry in right-angled triangles.
- Statistics and probability
- Comparing data sets, and calculating probabilities from tables and diagrams.
Sample questions
Written for this site, in the style of the exam. Answer first, then see the model response and what the marks were for.
Question 1
2 marks
Factorise fully: 3x² − 12Question 2
1 mark
A ladder 5.0 m long leans against a wall, with its foot 1.5 m from the base of the wall. The angle the ladder makes with the ground, to the nearest degree, is:Question 3
3 marks
A jacket is marked down by 20% in a sale. In a further sale the discounted price is reduced by another 10%. Explain why the total discount is not 30%, and calculate the single percentage discount that would give the same final price.Question 4
2 marks
The mean of five numbers is 14. When a sixth number is included, the mean becomes 15. Find the sixth number.
10 full papers for Year 10 Maths
Complete practice exams with a model answer for every part, and your own marks saved question by question so you can see where they went.
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