Year 8 · Mathematics

Year 8 maths help and free practice questions

Year 8 builds algebra skills — solving two-step equations and expanding brackets — alongside percentages, negative numbers and confident mental arithmetic.

Topics the tutor covers at Year 8 level

• Fractions

  • Simplify fractions
  Practise fractions

• Decimals

  • Add and subtract decimals
  • Multiply and divide decimals by 10, 100 and 1000
  • Write a decimal as a fraction
  Practise decimals

• Percentages

  • Find a percentage of a quantity
  • Convert fractions to percentages
  Practise percentages

• Integers (positive and negative numbers)

  • Add and subtract integers
  Practise integers (positive and negative numbers)

• Algebra

  • Substitute into an expression
  • Solve one-step equations
  • Solve two-step equations
  • Expand brackets
  Practise algebra

• Measurement and unit conversion

  • Convert metric units
  Practise measurement and unit conversion

Topics are grouped by the year levels our tutor uses. Detailed curriculum mapping is being reviewed by teachers before any alignment is claimed.

Year 8 topic guides

• Algebra basics

Year 8 practice questions

Try each question, then reveal the answer and a worked solution. Want more? The tutor makes new ones with hints, instantly.

1. Simplify fractions

   1. Write 2/16 in simplest form.

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   Answer: 1/8

   The highest common factor of 2 and 16 is 2. 2 ÷ 2 = 1 and 16 ÷ 2 = 8, so the answer is 1/8.

2. Add and subtract decimals

   2. What is 59.4 + 6.72?

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   Answer: 66.12

   Lining up the decimal points: 59.4 + 6.72 = 66.12.

3. Multiply and divide decimals by 10, 100 and 1000

   3. What is 83.57 × 10?

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   Answer: 835.7

   Each digit moves 1 place left (bigger): 83.57 × 10 = 835.7.

4. Write a decimal as a fraction

   4. Write 0.5 as a fraction in simplest form.

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   Answer: 1/2

   0.5 = 5/10, which simplifies to 1/2.

5. Find a percentage of a quantity

   5. What is 25% of 80?

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   Answer: 20

   25% = 25/100. 25/100 × 80 = 20.

6. Convert fractions to percentages

   6. Write 1/4 as a percentage. (Just type the number.)

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   Answer: 25

   1/4 = 25/100 = 25%.

7. Add and subtract integers

   7. What is 7 − (-8)?

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   Answer: 15

   7 − (-8) = 15.

8. Substitute into an expression

   8. If x = 2, what is 8x + 15?

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   Answer: 31

   8 × 2 = 16, then + 15 = 31.

9. Solve one-step equations

   9. Solve: 5x = 60

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   Answer: 12

   5x = 60. Divide both sides by 5: x = 12.

10. Solve two-step equations

    10. Solve: 4x + 8 = 20

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    Answer: 3

    4x + 8 = 20. Subtract 8: 4x = 12. Divide by 4: x = 3. Check: 4 × 3 + 8 = 20 ✓

11. Expand brackets

    11. Expand: 3(x + 6)

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    Answer: 3x + 18

    3 × x = 3x and 3 × +6 = +18, so 3(x + 6) = 3x + 18.

12. Convert metric units

    12. Convert 77 km to m. (Just type the number.)

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    Answer: 77000

    1 km = 1000 m, so 77 km = 77000 m.