Year 6 · Mathematics

Year 6 maths help and free practice questions

Year 6 connects fractions, decimals and percentages, adds fractions with different denominators and introduces negative numbers, preparing students for high school maths.

Topics the tutor covers at Year 6 level

• Multiplication

  • Two-digit × one-digit
  • Two-digit × two-digit
  Practise multiplication

• Division

  • 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

• 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)

• 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 6 topic guides

• Decimals for Year 6
• Percentages for Year 6
• Adding and subtracting fractions with different denominators (Year 6)

Year 6 practice questions

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

1. Two-digit × one-digit

   1. What is 71 × 4?

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   Answer: 284

   70 × 4 = 280 and 1 × 4 = 4. 280 + 4 = 284.

2. Two-digit × two-digit

   2. What is 32 × 12?

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   Answer: 384

   32 × 10 = 320 and 32 × 2 = 64. 320 + 64 = 384.

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

   3. What is 90 ÷ 5?

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   Answer: 18

   50 ÷ 5 = 10 and 40 ÷ 5 = 8. So 90 ÷ 5 = 18.

4. Equivalent fractions

   4. Fill in the missing number: 1/4 = ?/20

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   Answer: 5

   4 × 5 = 20, so multiply the numerator by 5 too: 1 × 5 = 5. 1/4 = 5/20.

5. Simplify fractions

   5. Write 4/14 in simplest form.

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   Answer: 2/7

   The highest common factor of 4 and 14 is 2. 4 ÷ 2 = 2 and 14 ÷ 2 = 7, so the answer is 2/7.

6. Add fractions with the same denominator

   6. What is 3/8 + 1/8?

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   Answer: 4/8

   The denominators are both 8, so add the numerators: 3 + 1 = 4. The answer is 4/8 (which simplifies to 1/2).

7. Find a fraction of a quantity

   7. What is 2/3 of 6?

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   Answer: 4

   6 ÷ 3 = 2, and 2 × 2 = 4.

8. Add and subtract decimals

   8. What is 5.6 + 1.6?

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   Answer: 7.2

   Lining up the decimal points: 5.6 + 1.6 = 7.2.

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

   9. What is 61.28 × 100?

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   Answer: 6128

   Each digit moves 2 places left (bigger): 61.28 × 100 = 6128.

10. Write a decimal as a fraction

    10. Write 0.3 as a fraction in simplest form.

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    Answer: 3/10

    0.3 = 3/10, which simplifies to 3/10.

11. Find a percentage of a quantity

    11. What is 25% of 220?

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    Answer: 55

    25% = 25/100. 25/100 × 220 = 55.

12. Convert fractions to percentages

    12. Write 3/25 as a percentage. (Just type the number.)

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    Answer: 12

    3/25 = 12/100 = 12%.