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Year 7 Maths sample questions

Year 7 Maths sample questions

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

No sign-up required 12 curated questionsInstant explanations

Year 7 Maths practice questions

Use this no-login public demo to preview Skill Align's Year 7 Maths sample questions, explanations, exercise mode, and test mode before regular practice.

Sample-question focus

Try a short public sample of Year 7 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 7 Maths questions

These sample questions are visible on the page before login. They show Year 7 ratio, algebra, scale, data, probability, and money explanations before opening the demo.

Year 7 Maths Ratios and rates hard weighted score chart

1. The bar model represents a smoothie mix with yoghurt and fruit juice in the ratio 3:5. If the jug holds 2.4 L altogether, how much fruit juice is in the mix?

Ratio bar model Y J 8
Choices
  • 1.5 L
  • 0.9 L
  • 1.2 L
  • 4.0 L
Explanation:

There are 3 + 5 = 8 equal parts. Each part is 2.4 / 8 = 0.3 L, so the fruit juice is 5 × 0.3 = 1.5 L.

Year 7 Maths Algebra patterns hard sequence graph

2. A matchstick pattern has M = 4n + 1 matchsticks in figure n. What is the first figure number with more than 80 matchsticks?

Linear pattern growth n M 80
Choices
  • 20
  • 19
  • 21
  • 80
Explanation:

Solve 4n + 1 > 80. This gives 4n > 79, so n > 19.75. The first whole-number figure after that is figure 20.

Year 7 Maths Scale and area hard scale plan

3. On a scale plan, a rectangular garden is 6.5 cm by 4 cm. Each 1 cm on the plan represents 2 m in real life. What is the actual area of the garden?

Scale plan rectangle 6.5 4 2
Choices
  • 104 m²
  • 26 m²
  • 52 m²
  • 208 m²
Explanation:

The real dimensions are 6.5 × 2 = 13 m and 4 × 2 = 8 m. The actual area is 13 × 8 = 104 m².

Year 7 Maths Statistics hard weighted score chart

4. A quiz has scores 4, 6 and 8 with frequencies 3, 5 and 2. What is the mean score?

Weighted mean chart 4 6 8
Choices
  • 5.8
  • 6
  • 5.6
  • 6.2
Explanation:

Use the weighted total: 4 × 3 + 6 × 5 + 8 × 2 = 58. There are 10 scores, so the mean is 58 / 10 = 5.8.

Year 7 Maths Probability hard probability tree

5. A spinner lands on A with probability 0.6 and B with probability 0.4. If it lands on A, the chance of winning is 0.7; if it lands on B, the chance of winning is 0.25. What is P(win)?

Two-branch probability tree A B W
Choices
  • 0.52
  • 0.42
  • 0.95
  • 0.30
Explanation:

Add the two win branches: 0.6 × 0.7 + 0.4 × 0.25 = 0.42 + 0.10 = 0.52.

Year 7 Maths Financial mathematics hard payslip diagram

6. A bike costs $480. Mia pays a 15% deposit and then pays the rest in 6 equal monthly payments. What is each monthly payment?

Deposit and instalments D R $
Choices
  • $68
  • $72
  • $80
  • $408
Explanation:

The deposit is 15% of $480, which is $72. The remaining amount is $480 - $72 = $408. Dividing by 6 gives $68 each month.

For parents comparing Year 7 Maths support

Year 7 maths practice should help students settle into secondary routines while still feeling exact: ratios, algebra patterns, scale, statistics, probability, and money. These examples preview that clear worked style before the no-login Year 7 Maths demo.

How it works

Answer questions in a short test-style session.

  • See explanations after finishing.
  • Use Exercise Mode when you want instant feedback while learning.
Practice Summary
Year 7 · Maths · Test mode · 12 questions · 10 min
Questions attempted 0 / 12
Correct answers Pending
Score -
Attempt Mode

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

Ready to try this Year 7 Maths practice set?

This preview includes 12 curated questions. You can start instantly, stay anonymous, and see the score and explanations when you finish the attempt.

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  • Answers and explanations appear after completion in Test mode
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This public preview is intentionally small. Full access adds more practice sessions, broader topic coverage, saved student history, and structured learning by year and subject.

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Maths practice questions FAQ

Does this page include Year 7 Maths practice questions?

Yes. This public demo includes reviewed Year 7 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.