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Maths · Fractions worksheet

Fractions of Amounts Worksheet: Free Year 3 Maths with Answers

This free, printable worksheet helps children find fractions of amounts, such as a quarter of 12 or three quarters of 8. It starts with unit fractions like ½ and ¼, then moves on to fractions like ⅔ and ⅗.

It prints on one A4 page, and the answers print on a second page for grown-ups.

Years 3–4 · ages 7–9KS2Free to printFree to shareSheet 100

What your child is learning

‘recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators’

Year 3 Maths: Number – fractions, National Curriculum in England. Source and licence

Fractions of Amounts

Free Maths worksheet · Ages 7 to 8

Name:

A cartoon mouse sharing strawberries equally between small bowls on a table, drawn as black outlines on white for colouring in.

Find the fraction

Divide by the bottom number, then multiply by the top number.

1.½ of 4 =
2.¼ of 8 =
3.⅓ of 18 =
4.⅕ of 10 =
5.⅒ of 30 =
6.⅛ of 24 =
7.¾ of 16 =
8.⅔ of 18 =
9.⅖ of 20 =
10.⅗ of 15 =
11.⅜ of 16 =
12.⅘ of 10 =

Answers: Fractions of Amounts

Sheet 100

½ of 4 = 2
¼ of 8 = 2
⅓ of 18 = 6
⅕ of 10 = 2
⅒ of 30 = 3
⅛ of 24 = 3
¾ of 16 = 12
⅔ of 18 = 12
⅖ of 20 = 8
⅗ of 15 = 9
⅜ of 16 = 6
⅘ of 10 = 8

For grown-ups. Free worksheets and the Owee quiz app at owee.world

Answer key

½ of 4 = 2
¼ of 8 = 2
⅓ of 18 = 6
⅕ of 10 = 2
⅒ of 30 = 3
⅛ of 24 = 3
¾ of 16 = 12
⅔ of 18 = 12
⅖ of 20 = 8
⅗ of 15 = 9
⅜ of 16 = 6
⅘ of 10 = 8

How to find a fraction of an amount

Divide by the bottom number, then multiply by the top number. To find three quarters of 8, share 8 into 4 equal groups of 2, then take 3 of those groups: 6. For a unit fraction like a quarter, the top number is 1, so dividing is all you need.

Use real objects first

Sharing sweets, buttons or grapes into equal groups makes fractions concrete. Ask: if we share these 15 grapes between 3 bowls, how many are in one bowl? That is one third of 15. How many are in two bowls?

Why it matters

Fractions of amounts link times tables, division and fractions together. Children who can do this confidently find percentages and ratio much easier in Years 5 and 6.

Frequently asked questions

What year group learns fractions of amounts?

Finding fractions of a set of objects, including non-unit fractions like ⅔, is part of Year 3 maths in the National Curriculum in England, when children are 7 to 8.

What is a unit fraction?

A fraction with 1 on top, such as ½, ⅓ or ¼. A non-unit fraction has a bigger number on top, such as ¾ or ⅖.

Is this worksheet really free?

Yes. Print it, save it as a PDF or share it with other parents and teachers. There is no sign-up and no email needed.

Curriculum links

Year 3 Maths: Number – fractions (statutory): 'recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators'

Quoted word for word from Department for Education documents: the National Curriculum in England, the EYFS framework or the RSHE guidance. Contains public sector information licensed under the Open Government Licence v3.0.

Made by The Owee education team. Updated 13/10/2026. Free to print and share.