Year 5 Find unit and non-unit fractions of whole numbers exploring parts and wholes worksheet

“Unit fractions of amounts” is free to print, with no account. It is the first sheet in the Year 5 maths unit “Find unit and non-unit fractions of whole numbers exploring parts and wholes”, for children aged 9 to 10, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 27 to 28 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Unit fractions of amounts

Name: ____________ · Date: ____________
Year 5 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can find a unit fraction of a quantity by dividing the whole by the denominator.

A Look back3 min

1.
5 rows of 4 make
2.
Which fraction means 1 equal part out of 4?
1/42/41/34/1
3.
Half of 10 is

B Watch me, then you4 min

A farm shop packs 12 oranges into 4 equal bags. How many oranges go in each bag?

A market stall with a striped awning and empty wooden crates

Watch me

The whole is 12 oranges, shared into 4 equal bags.

12 ÷ 4 = 3, so each bag holds 3.

1/4 of 12 is 3.

Now you

1.
15 buns are shared into 3 equal boxes, so each box holds 1/3 of them. Each box holds buns.

C Your turn6 min

Each bar has 4 equal parts. Work out one part of each amount.

1.
1/4 of 8 is
2.
1/4 of 20 is
3.
1/4 of 36 is
4.
1/4 of 52 is

Say it out loud: What stayed the same in each bar, and what changed?

D Spot the mistake2 min

Ria says: “1/4 of 20 is 4, because 4 is the bottom number.”

1.
What is 1/4 of 20?

E Think deeper3 min

A bag holds 24 pencils. You can share them into equal groups with none left over.

1.
Which denominators from 2 to 12 split 24 into equal groups with none left over? Write them all.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Unit fractions of amounts · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 20

2. 1/4

3. 5

B

1. 5 If your child writes 12, they may have taken 3 away from 15. A fraction shares the whole. Share 15 into 3 equal boxes.

C

1. 2 If your child writes 4, they may have halved the whole. The bottom number says 4 equal parts, so share 8 into 4.

2. 5 If your child writes 16, they took 4 away from 20. A fraction shares the whole, so divide 20 by 4.

3. 9 If your child writes 40, they added 4 to 36. Share 36 into 4 equal parts instead.

4. 13

D

1. 5 The bottom number tells you how many equal parts to make, not the answer. Share 20 into 4 equal parts and count one part.

E

1. 2, 3, 4, 6, 8, 12 If your child misses 8 or 12, ask them to share 24 into 8 groups of 3, then into 12 groups of 2, and check each one.

Words to use

Say“What is the bottom number telling you to do?”

Instead of“Just tell them the answer is the bottom number.”

After the sheet

Tip out 18 pasta shapes, share them into 3 equal bowls, then 6 bowls, and say what 1/3 and 1/6 of 18 are.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

9 more sheets come with a StudyDen plan, in teaching order:

Fractions as multiplication(with a plan)
Unit fractions and sharing(with a plan)
Fractions in word problems(with a plan)
Fractions with more than one part(with a plan)
Shrinking numbers by fractions(with a plan)
Scaling or repeated addition?(with a plan)
Finding the whole(with a plan)
Finding one equal part(with a plan)
Finding the Whole(with a plan)

Every Year 5 maths worksheet

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