Year 5 Division by partitioning leading to short division (2 and 3-digits by 1-digit) worksheet

“Sharing by splitting” is free to print, with no account. It is the first sheet in the Year 5 maths unit “Division by partitioning leading to short division (2 and 3-digits by 1-digit)”, 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 10 to 12 of the year, 15 sheets in the unit.

Free sample · answers on the last page

Sharing by splitting

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

Today I can divide a 2-digit number by a 1-digit number by partitioning it into parts that divide cleanly.

A Look back3 min

1.
7 rows with 8 in each row make
2.
4 tens and 3 ones make
3.
62 26

B Watch me, then you4 min

Ola shares 75 stickers equally between 3 friends. How many does each friend get?

Watch me

Split 75 into 60 and 15.

60 ÷ 3 = 20, and 15 ÷ 3 = 5.

Add the partial quotients: 20 + 5 = 25.

Now you

1.
Share 66 buttons equally into 3 pots. Each pot gets

C Your turn6 min

Share each number into 4 equal groups. Split it into parts you know, then add the partial quotients.

1.
48 ÷ 4 =
2.
68 ÷ 4 =
3.
88 ÷ 4 =
4.
92 ÷ 4 =

Say it out loud: The divisor stayed at 4. What changed in each dividend, and how did the quotient change?

D Spot the mistake2 min

Dev says: “96 ÷ 3 is 5. I split it into 90 and 6. 90 ÷ 3 is 3, and 6 ÷ 3 is 2, so 3 + 2 = 5.”

1.
What is 96 ÷ 3 really?

E Think deeper3 min

A school has 84 pencils to share equally between 4 classes.

A tidy classroom shelf with four plain tubs

1.
Mia split 84 into 80 and 4. Sam split 84 into 60 and 24. Both got 21 for each class. Why do both ways work?

How did it feel?

I can do it Nearly Not yet

For the grown-up

Sharing by splitting · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 56

2. 43

3. >

B

1. 22 If your child writes 4, they have added 2 and 2. 6 tens shared by 3 is 2 tens, which is 20. Then share the 6 ones to get 2 more.

C

1. 12 (40 ÷ 4 = 10 and 8 ÷ 4 = 2)

2. 17 (60 ÷ 4 = 15 and 8 ÷ 4 = 2) If your child gets 19, they found 8 ÷ 4 as 4. Share 8 ones into 4 groups: each group gets 2, so the answer is 15 + 2.

3. 22 (80 ÷ 4 = 20 and 8 ÷ 4 = 2) If your child gets 18, they wrote 80 ÷ 4 as 16. 80 is 8 tens, and 8 tens shared into 4 groups is 2 tens, which is 20.

4. 23 (80 ÷ 4 = 20 and 12 ÷ 4 = 3) Splitting 92 into 90 and 2 leaves parts that do not divide cleanly by 4. Try a split where both parts are in the 4 times table.

D

1. 32 Dev wrote 3 for 90 ÷ 3, but 90 is 9 tens, so the answer is 3 tens, which is 30. Writing 3 and 2 gives 5, which is wrong.

E

1. Look for: Both partitions add to 84 and each part divides exactly by 4, so the partial quotients add up to 21.

Words to use

Say“Split the big number into parts you know, then add the answers.”

Instead of“Share out one at a time until it is all gone.”

After the sheet

Put 48 dried beans on a plate, split them into 40 and 8, share each part into 4 cups, then add the two amounts in one cup.

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

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

Regroup to share(with a plan)
Exchanging and remainders(with a plan)
Short division, no regrouping(with a plan)
Short division with regrouping(with a plan)
Sharing with Short Division(with a plan)
Splitting 3-digit numbers(with a plan)
Regrouping one hundred(with a plan)
Sharing with regrouping(with a plan)
Short division with 3 digits(with a plan)
Short division with regrouping(with a plan)
Hundreds Too Small to Share(with a plan)
Pick the quickest method(with a plan)
Words tell you what to do(with a plan)
Which steps first?(with a plan)

Every Year 5 maths worksheet

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