Year 9 · Mathematics
Year 9 maths help and free practice questions
Year 9 extends algebra and number skills: substitution, equations, expanding expressions and working fluently with integers and percentages.
Topics the tutor covers at Year 9 level
Percentages
- Find a percentage of a quantity
- Convert fractions to percentages
Integers (positive and negative numbers)
- Add and subtract integers
Algebra
- Substitute into an expression
- Solve one-step equations
- Solve two-step equations
- Expand brackets
Topics are grouped by the year levels our tutor uses. Detailed curriculum mapping is being reviewed by teachers before any alignment is claimed.
Year 9 topic guides
Year 9 practice questions
Try each question, then reveal the answer and a worked solution. Want more? The tutor makes new ones with hints, instantly.
Find a percentage of a quantity
1. What is 5% of 260?
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Answer: 13
5% = 5/100. 5/100 × 260 = 13.
Convert fractions to percentages
2. Write 9/20 as a percentage. (Just type the number.)
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Answer: 45
9/20 = 45/100 = 45%.
Add and subtract integers
3. What is 6 + 11?
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Answer: 17
6 + 11 = 17.
Substitute into an expression
4. If x = 8, what is 9x + 3?
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Answer: 75
9 × 8 = 72, then + 3 = 75.
Solve one-step equations
5. Solve: 9x = 63
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Answer: 7
9x = 63. Divide both sides by 9: x = 7.
Solve two-step equations
6. Solve: 2x + 18 = 34
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Answer: 8
2x + 18 = 34. Subtract 18: 2x = 16. Divide by 2: x = 8. Check: 2 × 8 + 18 = 34 ✓
Expand brackets
7. Expand: 3(x + 7)
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Answer: 3x + 21
3 × x = 3x and 3 × +7 = +21, so 3(x + 7) = 3x + 21.
Find a percentage of a quantity
8. What is 15% of 260?
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Answer: 39
15% = 15/100. 15/100 × 260 = 39.