NSW Year 10 Maths free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper NSW Year 10 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
In a right-angled triangle the side lengths are 10 cm, 24 cm and 26 cm (hypotenuse).
The side opposite angle Q is 24 cm and the side adjacent to angle Q is 10 cm. What is cos
Q?
A
B
C
D
[Trigonometric ratios]
Correct answer: D —
- sin = opposite ÷ hypotenuse, cos = adjacent ÷ hypotenuse, tan = opposite ÷ adjacent.
- For angle Q: opposite = 24, adjacent = 10, hypotenuse = 26.
- cos Q = • Why the other options are wrong:
- A ( • B ( • C ( SOH CAH TOA: sin = opp/hyp, cos = adj/hyp, tan = opp/adj.
Your sample is downloading. Liked it? NSW Year 10 Maths Paper 1 is the full paper: 30 multiple-choice questions in 50 minutes (4 options each, no calculator), with a worked solution for every question.
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Questions about this sample
What is in the NSW Year 10 Maths free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full NSW Year 10 Maths papers are there?
20 original papers for Year 10 students following the NSW syllabus. Each is 30 multiple-choice questions in 50 minutes (4 options each, no calculator), with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.