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Year 10 Maths practice questions
Use this no-login public demo to preview Skill Align's Year 10 Maths sample questions, explanations, exercise mode, and test mode before regular practice.
Sample-question focus
Try a short public sample of Year 10 Maths questions selected from the reviewed Skill Align demo set.
Skills covered
Practice algebra, functions, measurement, geometry, trigonometry, statistics, probability, and modelling before senior pathways.
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Curriculum link
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Sample Year 10 Maths questions
These sample questions are visible on the page before login. They show Year 10 algebra, measurement, trigonometry, statistics, non-linear relationships, and probability explanations before opening the demo.
Year 10MathsAlgebrahardtransformation graph
1. The graph of y = x² - 5x + 6 crosses the x-axis at two points. Which solution set is correct for x² - 5x + 6 = 0?
Choices
x = 2 and x = 3
x = -2 and x = -3
x = 1 and x = 6
x = 5 and x = 6
Explanation:
Factor the quadratic as (x - 2)(x - 3) = 0. A product is zero when either factor is zero, so x = 2 or x = 3.
Year 10MathsMeasurement and geometryhardmeasurement diagram
2. A rectangular prism has total surface area 108 cm². A similar prism is made with every length multiplied by 1.5. What is the new total surface area?
Choices
243 cm²
162 cm²
216 cm²
364.5 cm²
Explanation:
Surface area scales by the square of the length scale factor. Since 1.5² = 2.25, the new surface area is 108 × 2.25 = 243 cm².
Year 10MathsTrigonometryharddiagram
3. A student stands 12 m from a pole on level ground. The angle of elevation to the top is 30°. What is the height of the pole to the nearest 0.1 m?
Choices
6.9 m
10.4 m
20.8 m
4.0 m
Explanation:
Use tan(30°) = height / 12. The height is 12 × tan(30°) = 6.928..., which rounds to 6.9 m.
Year 10MathsStatistics and probabilityhardregression graph
4. A regression model predicts a test score using S = 42 + 0.8h, where h is study hours. For h = 30, the actual score is 70. What is the residual using actual - predicted?
Choices
4
-4
66
70
Explanation:
The predicted score is 42 + 0.8 × 30 = 66. The residual is actual - predicted, so 70 - 66 = 4.
Year 10MathsNon-linear relationshipshardgrowth graph
5. A quantity halves each hour and is modelled by N = a(0.5)ᵗ. If N = 10 when t = 3, what is the starting value a?
Choices
80
40
30
13
Explanation:
After 3 hours, the multiplier is (0.5)³ = 1/8. So 10 = a × 1/8, which gives a = 80.
Year 10MathsProbabilityhardprobability tree
6. In a two-stage event, P(A) = 0.70. If A occurs, P(B) = 0.20; if A does not occur, P(B) = 0.50. What is P(B)?
Choices
0.29
0.14
0.35
0.70
Explanation:
Add the two branches that end in B: 0.70 × 0.20 + 0.30 × 0.50 = 0.14 + 0.15 = 0.29.
For parents comparing Year 10 Maths support
Year 10 maths practice should show whether a student is ready for senior pathways: quadratic algebra, similar figures, trigonometry, residuals, non-linear models, and probability. These examples preview that style before the no-login Year 10 Maths demo.
How it works
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Practice Summary
Year 10 · Maths · Test mode · 20 questions · 10 min
Questions attempted0 / 20
Correct answersPending
Score-
Attempt Mode
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Does this page include Year 10 Maths practice questions?
Yes. This public demo includes reviewed Year 10 Maths sample questions so families can preview the Skill Align practice style before regular use.
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This demo is linked with the Year 10 Maths curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.
