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Year 9 Maths sample questions

Year 9 Maths sample questions

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

No sign-up required 7 curated questionsInstant explanations

Year 9 Maths practice questions

Use this no-login public demo to preview Skill Align's Year 9 Maths sample questions, explanations, exercise mode, and test mode before regular practice.

Sample-question focus

Try a short public sample of Year 9 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 9 Maths questions

These sample questions are visible on the page before login. They show Year 9 index laws, linear graphs, trigonometry, similarity, statistics, and probability explanations before opening the demo.

Year 9 Maths Index laws hard sequence graph

1. If 3ᵃ = 27 and 3ᵇ = 9, what is 3ᵃ⁺ᵇ?

Powers of three a b 3⁵
Choices
  • 243
  • 81
  • 729
  • 36
Explanation:

Since 27 = 3³, a = 3. Since 9 = 3², b = 2. Therefore 3ᵃ⁺ᵇ = 3⁵ = 243.

Year 9 Maths Linear graphs hard break-even graph

2. A taxi fare is modelled by C = 4.20 + 1.80d, where d is the distance in kilometres. If the fare is 31.20, what is d?

Taxi fare graph d C $
Choices
  • 15 km
  • 17.3 km
  • 19.7 km
  • 27 km
Explanation:

Subtract the fixed charge: 31.20 - 4.20 = 27.00. Then divide by 1.80, giving d = 15 km.

Year 9 Maths Trigonometry hard diagram

3. From a point 42 m from the base of a building, the angle of elevation to the top is 36°. What is the building height to the nearest 0.1 m?

Angle of elevation to a building 42 m h 36°
Choices
  • 30.5 m
  • 24.7 m
  • 57.8 m
  • 34.0 m
Explanation:

Use tan(36°) = height / 42. The height is 42 × tan(36°) = 30.516..., which rounds to 30.5 m.

Year 9 Maths Similarity hard scale plan

4. Two similar rectangles have a scale factor of 3 / 2 from the smaller to the larger. If the smaller area is 48 cm², what is the larger area?

Similar rectangles S L 3/2
Choices
  • 108 cm²
  • 72 cm²
  • 96 cm²
  • 162 cm²
Explanation:

Areas scale by the square of the length scale factor. The area factor is (3 / 2)² = 9 / 4, so the larger area is 48 × 9 / 4 = 108 cm².

Year 9 Maths Statistics hard weighted score chart

5. The data values 10, 12, 12, 15, 16 and 20 have one more value x added. If the new mean is 15, what is x?

Mean with one missing value Σ x 15
Choices
  • 20
  • 15
  • 18
  • 25
Explanation:

The six known values sum to 85. Seven values with mean 15 must sum to 105, so x = 105 - 85 = 20.

Year 9 Maths Probability hard probability tree

6. A bag contains 5 blue counters and 3 red counters. Two counters are drawn without replacement. What is the probability that both are blue?

Counters without replacement B R BB
Choices
  • 5 / 14
  • 25 / 64
  • 5 / 8
  • 3 / 14
Explanation:

The probability is 5 / 8 for the first blue and 4 / 7 for the second blue after one blue is removed. So P(two blue) = 5 / 8 × 4 / 7 = 20 / 56 = 5 / 14.

For parents comparing Year 9 Maths support

Year 9 maths practice should build senior-readiness through index laws, linear modelling, trigonometry, similarity, statistics, and probability. These examples show the worked reasoning before the no-login Year 9 Maths demo.

How it works

Answer questions in a short test-style session.

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  • Use Exercise Mode when you want instant feedback while learning.
Practice Summary
Year 9 · 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 9 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 9 Maths practice questions?

Yes. This public demo includes reviewed Year 9 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.