Year 5 · Mathematics

Year 5 maths help and free practice questions

Year 5 introduces bigger ideas — multiplying larger numbers, working with fractions and decimals, and converting between metric units — while practising mental strategies.

Topics the tutor covers at Year 5 level

• Addition and subtraction

  • Add three-digit numbers
  Practise addition and subtraction

• Multiplication

  • Times tables to 10 × 10
  • Two-digit × one-digit
  • Two-digit × two-digit
  Practise multiplication

• Division

  • Division facts
  • Divide a two-digit number by a one-digit number
  Practise division

• Fractions

  • Equivalent fractions
  • Simplify fractions
  • Add fractions with the same denominator
  • Find a fraction of a quantity
  Practise fractions

• Decimals

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

• 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 5 topic guides

• Fractions for Year 5
• Converting metric units for Year 5

Year 5 practice questions

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

1. Add three-digit numbers

   1. What is 121 + 470?

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   Answer: 591

   Hundreds: 100 + 400. Tens and ones: 21 + 70. Total: 591.

2. Times tables to 10 × 10

   2. What is 9 × 3?

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   Answer: 27

   3 groups of 9 is 27, so 9 × 3 = 27.

3. Two-digit × one-digit

   3. What is 73 × 4?

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   Answer: 292

   70 × 4 = 280 and 3 × 4 = 12. 280 + 12 = 292.

4. Two-digit × two-digit

   4. What is 45 × 13?

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   Answer: 585

   45 × 10 = 450 and 45 × 3 = 135. 450 + 135 = 585.

5. Division facts

   5. What is 40 ÷ 5?

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   Answer: 8

   5 × 8 = 40, so 40 ÷ 5 = 8.

6. Divide a two-digit number by a one-digit number

   6. What is 91 ÷ 7?

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   Answer: 13

   70 ÷ 7 = 10 and 21 ÷ 7 = 3. So 91 ÷ 7 = 13.

7. Equivalent fractions

   7. Fill in the missing number: 1/2 = ?/6

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   Answer: 3

   2 × 3 = 6, so multiply the numerator by 3 too: 1 × 3 = 3. 1/2 = 3/6.

8. Simplify fractions

   8. Write 10/35 in simplest form.

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   Answer: 2/7

   The highest common factor of 10 and 35 is 5. 10 ÷ 5 = 2 and 35 ÷ 5 = 7, so the answer is 2/7.

9. Add fractions with the same denominator

   9. What is 5/8 + 2/8?

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   Answer: 7/8

   The denominators are both 8, so add the numerators: 5 + 2 = 7. The answer is 7/8.

10. Find a fraction of a quantity

    10. What is 7/10 of 40?

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    Answer: 28

    40 ÷ 10 = 4, and 4 × 7 = 28.

11. Add and subtract decimals

    11. What is 8.2 + 5.3?

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    Answer: 13.5

    Lining up the decimal points: 8.2 + 5.3 = 13.5.

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

    12. What is 97.51 ÷ 1000?

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    Answer: 0.09751

    Each digit moves 3 places right (smaller): 97.51 ÷ 1000 = 0.09751.