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Year 8 Maths sample questions

Year 8 Maths practice preview

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Year 8 Maths practice questions

This public preview page identifies the planned Year 8 Maths demo route and links it to curriculum coverage while the reviewed sample question set is being completed.

Sample-question focus

The planned public sample is for Year 8 Maths practice and will open after the demo questions are reviewed.

Skills covered

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

Exercise and test mode

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Curriculum link

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

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.

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Year 8 Maths is available to purchase, and the public demo preview is still being prepared.

Students can use the purchased subject once subscribed; this anonymous preview will be opened after the curated public question set is ready.

Maths practice questions FAQ

Does this page include Year 8 Maths practice questions?

Not yet. The Year 8 Maths demo route is public, but the interactive sample questions will open after the reviewed public set is ready.

Can students try the demo without signing up?

No sign-up is required to view the preview status. The no-login interactive demo will be available after the sample set is completed.

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.