Division as sharing and grouping

The Maths Habit

1

How many dots are there? Multiply.

3 × 7 = 212

This array shows 4 × 9. Write the fact turned round.

9 × 4 = 363

Work out 6 × 7. Split the rows into facts you know.

5135 + 7 = 42

The counters are dealt out to the plates, one at a time, so every plate gets the same. What happens at the end?

Some are left over: not enough to go round again.

Divide
Split a total into equal groups.
Share
Give out equally, one at a time.
Group
A set with the same number in each.
Remainder
What is left over after the equal groups.

  1. Ring groups of 3.Set the counters out in rows of 3. Each row is one group.
  2. How many groups?Count the rings.
  3. 15 ÷ 3 = 5Check it with the times table: 5 × 3 = 15.

15 in groups of 3:
5 groups
ABC
15 shared between 3 players:
5 each

Both are 15 ÷ 3 = 5. Deal one to each player: each round is a row.

How many groups of 4?

3

5 × 6 = 30. What is 30 ÷ 6?

5

Work out 21 ÷ 3. Ring groups of 3. How many groups? 21 ÷ 3 = 7

Work out 24 ÷ 4. Ring groups of 4. How many groups? 24 ÷ 4 = 6

Work out 21 ÷ 3. Ring groups of 3. How many groups? 21 ÷ 3 = 7

Work out 35 ÷ 5. Ring groups of 5. How many groups? 35 ÷ 5 = 7

Work out 21 ÷ 3. Ring groups of 3. How many groups? 21 ÷ 3 = 7

Work out 27 ÷ 9. Ring groups of 9. How many groups? 27 ÷ 9 = 3

Work out 21 ÷ 3. Ring groups of 3. How many groups? 21 ÷ 3 = 7

Share 12 cards between 4 players, one at a time. How many does each get? 3 each: 12 ÷ 4 = 3

ABCD

Work out 21 ÷ 3. Ring groups of 3. How many groups? 21 ÷ 3 = 7

Work out 16 ÷ 2. Ring groups of 2. How many groups? 16 ÷ 2 = 8

Division as sharing and grouping worksheet, page 1

Ring groups of 5. Is anything left over?

left over Yes: 2 left over

Ring groups of 6. Is anything left over?

No

left over
  1. Ring groups of 4.
  2. How many groups?
  3. How many left over?Not enough to make another group.
  4. 14 ÷ 4 = 3 r 2r means remainder: what is left over. In a story, decide: does everyone need a place? Round up. Only full groups count? Round down.

A taxi takes 4 people. 18 people need taxis. 18 ÷ 4 = 4 r 2. Round up or round down?

Round up: 5 taxis

Stickers go in packs of 5. How many full packs from 23 stickers? 23 ÷ 5 = 4 r 3. Round up or round down?

Round down: 4 full packs

Work out 19 ÷ 4. Ring groups of 4. How many groups? How many left over? 19 ÷ 4 = 4 r 3

left over

A table seats 6. 32 guests need tables. How many tables? Ring groups of 6. How many groups? How many left over? 32 ÷ 6 = 5 r 2, so 6 tables

left over

Work out 19 ÷ 4. Ring groups of 4. How many groups? How many left over? 19 ÷ 4 = 4 r 3

left over

Cakes go in boxes of 4. 23 cakes. How many full boxes? Ring groups of 4. How many groups? How many left over? 23 ÷ 4 = 5 r 3, so 5 full boxes

left over

Division as sharing and grouping worksheet, page 2

Answer sheet

Thumbs up to round up, down to round down.

  1. Taxis for a group, 4 in each taxi

    Round up

  2. Full packs of 6 from loose pens

    Round down

  3. Shelves for books, 8 on each shelf

    Round up

  4. Full teams of 5 from a class

    Round down

  5. Boxes to post 50 mugs, 12 in a box

    Round up

  1. I am thinking of a number. In groups of 5 it makes 3 groups with 4 left over. What is my number?

    19

  2. Find a number under 30 that leaves 1 left over in groups of 2, in groups of 3 and in groups of 4.

    13 or 25

  3. Which leaves more left over: 47 ÷ 6 or 47 ÷ 5?

    47 ÷ 6: 5 left over

  1. Work out 20 ÷ 5. Ring groups of 5. How many groups?

    20 ÷ 5 = 4

  2. 6 × 4 = 24. Use it to work out 24 ÷ 6.

    4

  3. 26 people go to a match. A car takes 4 people. How many cars do they need?

    6 r 2, so 7 cars
Exit tickets to print