Maths Library

Fractions of a Quantity: Year 6 maths

Pupils calculate unit and non-unit fractions of quantities and discrete amounts. The worksheet develops fluency in dividing by the denominator and multiplying by the numerator.

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What this covers

Fractions of a Quantity is taught in Year 6 (age 11 to 12) as a main teaching focus. It sits in the Fractions strand.

Worked example

Find 38 of 48.

  1. Divide the amount by the denominator: 488 = 6.
  2. Multiply the result by the numerator: 6 × 3 = 18.

Answer: 18

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Unit fractions (12, 13, 14, 15) of small numbers with no remainders
  2. Non-unit fractions with small denominators (e.g. 23 of 18, 34 of 24)
  3. Non-unit fractions of larger amounts up to 200
  4. Fraction of an amount with units of measure (money, metres, kilograms)
  5. Reverse problems: finding the whole given a fraction of the amount

Common mistakes

  • Multiplying by the denominator and dividing by the numerator
  • Forgetting to multiply by the numerator after calculating the unit fraction value

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M6N04 Calculate a fraction of a quantity using efficient multiplicative strategies.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Fractions of a Quantity

Year 6 maths

Qs
6
Marks
12
NameDateScore / 12
1.
Find 25 of 25.
[2]
2.
Find 56 of 24.
[2]
3.
Find 58 of 64.
[2]
4.
Find 25 of 15.
[2]
5.
Find 810 of 100.
[2]
6.
Find 24 of 32.
[2]

Answer key

  1. 1025 ÷ 5 = 5; 5 × 2 = 10
  2. 2024 ÷ 6 = 4; 4 × 5 = 20
  3. 4064 ÷ 8 = 8; 8 × 5 = 40
  4. 615 ÷ 5 = 3; 3 × 2 = 6
  5. 80100 ÷ 10 = 10; 10 × 8 = 80
  6. 1632 ÷ 4 = 8; 8 × 2 = 16