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Year 8 Maths sample questions

Year 8 Maths sample questions

Answer a short curated learning and practice set, then see your score, correct answers, and explanations.

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Year 8 Maths practice questions

Use this no-login public demo to preview Skill Align's Year 8 Maths sample questions, explanations, exercise mode, and test mode before regular practice.

Sample-question focus

Try a short public sample of Year 8 Maths questions selected from the reviewed Skill Align demo set.

Skills covered

Practice number, algebra, measurement, space, statistics, probability, patterns, and problem solving.

Exercise and test mode

Use Exercise Mode for instant feedback, or Test Mode to keep answers hidden until the end of the attempt.

Curriculum link

Compare this demo with the Year 7-9 Maths curriculum page to scan related topics, subtopics, and pathway coverage.

This preview keeps answers in page memory only. Refreshing the page resets the attempt and nothing is written to a student record. Copyright (c) 2026 SkillAlign. Demo questions, answers, explanations, and visuals are protected content. All rights reserved.
Sample Year 8 Maths questions

These sample questions are visible on the page before login. They show Year 8 scale, linear relationships, Pythagoras, rates, probability, and algebra explanations before opening the demo.

Year 8 Maths Scale and measurement hard scale plan

1. A map has scale 1:25,000. The distance between two points is 8.4 cm on the map. What is the actual distance in kilometres?

Map scale distance 8.4 1 S
Choices
  • 2.1 km
  • 0.21 km
  • 21 km
  • 1.68 km
Explanation:

The actual distance is 8.4 × 25,000 = 210,000 cm. Since 100,000 cm = 1 km, this is 2.1 km.

Year 8 Maths Linear relationships hard break-even graph

2. A straight line passes through (2, 7) and (6, 19). Which rule gives the line?

Line through two points P Q m
Choices
  • y = 3x + 1
  • y = 4x - 1
  • y = 3x - 1
  • y = x + 5
Explanation:

The gradient is (19 - 7) / (6 - 2) = 3. Using (2, 7), 7 = 3 × 2 + b, so b = 1. The rule is y = 3x + 1.

Year 8 Maths Pythagoras and geometry hard diagram

3. A ramp is 5.2 m long and its horizontal run is 4.8 m. What is the vertical rise of the ramp?

Right-triangle ramp 4.8 m h
Choices
  • 2.0 m
  • 1.4 m
  • 3.2 m
  • 10.0 m
Explanation:

Use Pythagoras: rise² = 5.2² - 4.8² = 27.04 - 23.04 = 4. The rise is 2.0 m.

Year 8 Maths Rates and equations hard growth graph

4. A tank already contains 40 L of water and fills at 18 L per minute. After how many minutes will it contain 220 L?

Linear filling model t V n 220
Choices
  • 10 min
  • 12.2 min
  • 14.4 min
  • 180 min
Explanation:

The added water must be 220 - 40 = 180 L. At 18 L per minute, the time is 180 / 18 = 10 minutes.

Year 8 Maths Probability hard probability tree

5. P(rain) = 0.35. If it rains, P(late) = 0.60; if it does not rain, P(late) = 0.15. What is the probability of being late?

Rain and lateness tree R N L
Choices
  • 0.3075
  • 0.21
  • 0.45
  • 0.7475
Explanation:

Add the late branches: 0.35 × 0.60 + 0.65 × 0.15 = 0.21 + 0.0975 = 0.3075.

Year 8 Maths Algebra and area hard scale plan

6. A large square has side length 3x and a small square has side length x. The difference between their areas is 128 cm². What is x?

Difference of square areas 3x x A
Choices
  • 4
  • 8
  • 16
  • 2
Explanation:

The area difference is (3x)² - x² = 9x² - x² = 8x². So 8x² = 128, x² = 16, and x = 4 because a side length is positive.

For parents comparing Year 8 Maths support

Year 8 maths practice should make proportional reasoning, linear rules, Pythagoras, rates, probability, and algebra feel structured rather than guessable. These examples preview that style before the no-login Year 8 Maths demo.

How it works

Answer questions in a short test-style session.

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Practice Summary
Year 8 · Maths · Test mode · 7 questions · 10 min
Questions attempted 0 / 7
Correct answers Pending
Score -
Attempt Mode

Test mode keeps answers hidden until you finish the full set.

Ready to try this Year 8 Maths practice set?

This preview includes 7 curated questions. You can start instantly, stay anonymous, and see the score and explanations when you finish the attempt.

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Maths practice questions FAQ

Does this page include Year 8 Maths practice questions?

Yes. This public demo includes reviewed Year 8 Maths sample questions so families can preview the Skill Align practice style before regular use.

Can students try the demo without signing up?

Yes. The public demo can be opened without signing up, and the attempt stays in the page instead of being saved to a student record.

How does this demo relate to curriculum coverage?

This demo is linked with the Year 7-9 Maths curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.