Year 4 Division with remainders worksheet

“Groups and what is left” is free to print, with no account. It is the first sheet in the Year 4 maths unit “Division with remainders”, for children aged 8 to 9, 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 34 to 36 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Groups and what is left

Name: ____________ · Date: ____________
Year 4 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can write a division with a remainder as one equation using × and +.

A Look back3 min

1.
4 × 6 =
2.
5 × 7 =
3.
3 × 9 =

B Watch me, then you4 min

A baker has 13 rolls and packs them into bags of 5. Two bags are full and 3 rolls are left over. Write it as one equation.

A wooden bakery counter with empty paper bags stacked at one end

Watch me

13 rolls go into bags of 5.

Two full bags hold 10 rolls, and 3 rolls are left over.

So 13 = 2 × 5 + 3 is the full equation.

Now you

1.
17 counters go into groups of 6. Write 17 =

C Your turn6 min

1.
12 counters go into groups of 5. Write 12 =
2.
16 counters go into groups of 5. Write 16 =
3.
16 counters go into groups of 4. Write 16 =
4.
19 counters go into groups of 4. Write 19 =

Say it out loud: What stayed the same in every equation you wrote, and what changed each time?

D Spot the mistake3 min

Ali says: “23 is 5 and 3 left over, so 23 = 5 + 3.”

1.
23 rolls go into bags of 5, with 3 left over. How many full bags are there?

E Think deeper4 min

A shop shelf with a row of plain cloth bags, drawn simply

1.
Write every number from 20 to 30 that has 2 left over when put into groups of 6.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Groups and what is left · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 24

2. 35

3. 27

B

1. 17 = 2 × 6 + 5 If your child leaves out what is left over, the equation does not match the 17 counters. Count what is left after the full groups and add it on.

C

1. 12 = 2 × 5 + 2 If your child writes 2 × 5 = 10, the leftover has been missed. Count the counters that are not in a full group and add them on.

2. 16 = 3 × 5 + 1 If your child forgets the leftover, the equation is missing its + part. Check the 16 counters: which ones are not in a full group?

3. 16 = 4 × 4 + 0 (also accept 16 = 4 × 4)

4. 19 = 4 × 4 + 3 If your child writes 3 × 4 + 3, that makes 15, not 19. Count the groups again: there are 4 groups of 4 in 16.

D

1. 4 Ali kept only one group of 5. Take the 3 away, then count how many fives make 20.

E

1. 20 and 26 If your child lists only one number, test each number from 20 to 30. Count how many sixes fit and check what is left over.

Words to use

Say“How many full groups are there, and what is left over?”

Instead of“Just count them all one by one and tell them the answer.”

After the sheet

Put 17 buttons on a plate. Sort them into groups of 6, write the equation with × and +, then check it by adding the parts back up.

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:

Grouping with leftovers(with a plan)
Sharing with leftovers(with a plan)
Sharing with leftovers(with a plan)
Largest multiple, then take away(with a plan)
Remainders and the divisor(with a plan)
Will there be a remainder?(with a plan)
Sharing with leftovers(with a plan)
Ignore it or round up?(with a plan)
Remainders in real problems(with a plan)

Every Year 4 maths worksheet

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