Maths Library

Fractions of an Amount: Year 4 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 an Amount is taught in Year 4 (age 8 to 9, KS2) 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 National Curriculum for England. Check wording and codes against the official document.

  • Calculate fractions of quantities or amounts, including non-unit fractions where the numerator is greater than one.

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 an Amount

Year 4 maths

Qs
6
Marks
6
NameDateScore / 6
1.
Find 23 of 15.
[1]
2.
Find 34 of 16.
[1]
3.
Find 35 of 40.
[1]
4.
Find 23 of 9.
[1]
5.
Find 45 of 50.
[1]
6.
Find 22 of 16.
[1]

Answer key

  1. 1015 ÷ 3 = 5; 5 × 2 = 10
  2. 1216 ÷ 4 = 4; 4 × 3 = 12
  3. 2440 ÷ 5 = 8; 8 × 3 = 24
  4. 69 ÷ 3 = 3; 3 × 2 = 6
  5. 4050 ÷ 5 = 10; 10 × 4 = 40
  6. 1616 ÷ 2 = 8; 8 × 2 = 16