Number

Multiplication & Division Problems

1

Count the Groups

Count the groups of objects. Write the total.

?
?
?
?
2

More Groups to Count

Count the objects. Write the total.

?
?
?
×10
×10
?
3

Match Groups to Multiplications

Draw a line to match.

3 groups of 4
5 groups of 2
2 groups of 6
4 groups of 5
20
12
10
12
4

More Groups to Match

Draw a line to match.

2 groups of 8
4 groups of 3
3 groups of 5
5 groups of 4
15
16
20
12
5

What Multiplication?

Circle the correct multiplication.

4 groups of 3

4 × 3 = 12
4 + 3 = 7
3 × 3 = 9

5 groups of 5

5 + 5 = 10
5 × 5 = 25
5 × 4 = 20

6 groups of 2

6 + 2 = 8
6 × 3 = 18
6 × 2 = 12

3 groups of 7

3 × 7 = 21
3 + 7 = 10
7 × 7 = 49
6

More Multiplications

Circle the correct multiplication.

2 groups of 9

2 × 9 = 18
2 + 9 = 11
9 × 9 = 81

4 groups of 4

4 + 4 = 8
4 × 4 = 16
4 × 3 = 12

3 groups of 6

3 × 6 = 18
3 + 6 = 9
6 × 6 = 36

5 groups of 3

5 × 3 = 15
5 + 3 = 8
3 × 3 = 9
7

Repeated Addition or Multiplication?

Circle the matching multiplication.

4 + 4 + 4 = ?

3 × 4 = 12
4 × 4 = 16
3 + 4 = 7

5 + 5 + 5 + 5 = ?

4 × 5 = 20
5 × 5 = 25
4 + 5 = 9

2 + 2 + 2 + 2 + 2 = ?

5 × 2 = 10
2 × 2 = 4
5 + 2 = 7
8

Multiplication as Bonds

Fill in the missing number.

12
3
?
20
?
4
15
5
?
18
?
9
10
2
?
24
?
8
9

Repeated Addition to Multiplication

Match.

3 + 3 + 3 + 3
6 + 6
5 + 5 + 5
2 + 2 + 2 + 2 + 2
5 × 2
4 × 3
2 × 6
3 × 5
10

Draw the Groups

Draw groups of objects for each multiplication.

Draw 3 groups of 4 stars. Total = ___

Draw here

Draw 2 groups of 5 hearts. Total = ___

Draw here

Draw 4 groups of 3 circles. Total = ___

Draw here
11

Share Equally

Share the total into equal groups. How many in each group?

12
3
?
20
?
5
15
5
?
18
?
3
24
4
?
16
?
4
12

More Equal Sharing

Share the total equally.

30
5
?
14
?
7
21
3
?
36
?
9
28
4
?
40
?
8
13

Division Facts

Circle the correct answer.

12 shared into 4 equal groups = ?

2
3
4

20 shared into 5 equal groups = ?

3
4
5

18 shared into 3 equal groups = ?

5
6
7

24 shared into 6 equal groups = ?

3
4
5
14

More Division Facts

Circle the correct answer.

30 shared into 5 equal groups = ?

5
6
7

16 shared into 4 equal groups = ?

3
4
5

21 shared into 3 equal groups = ?

6
7
8

40 shared into 8 equal groups = ?

4
5
6
15

Match Division to Answers

Draw a line to match.

12 ÷ 3
20 ÷ 4
15 ÷ 5
18 ÷ 2
3
5
9
4
16

Link Multiplication and Division

Match related facts.

3 × 4 = 12
5 × 6 = 30
2 × 9 = 18
4 × 7 = 28
28 ÷ 4 = 7
12 ÷ 3 = 4
18 ÷ 2 = 9
30 ÷ 5 = 6
17

Fact Families

Circle the fact that belongs in the same family.

3 × 5 = 15

15 ÷ 3 = 5
15 − 3 = 12
15 + 3 = 18

4 × 6 = 24

24 ÷ 6 = 4
24 − 6 = 18
24 + 6 = 30

2 × 8 = 16

16 ÷ 8 = 2
16 − 8 = 8
16 + 8 = 24
18

Choose the Operation

Is it multiplication or division?

5 shelves with 6 books each. How many books?

5 × 6
30 ÷ 5
5 + 6

40 lollies shared among 8 children

40 × 8
40 ÷ 8
40 − 8

9 tables, 4 chairs at each

9 × 4
9 ÷ 4
9 + 4

27 cards dealt to 3 players

27 × 3
27 ÷ 3
27 − 3
19

Write the Fact Family

Write all 4 facts for each set of numbers.

3, 5, 15 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

4, 6, 24 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

20

Sort: Multiplication or Division?

Sort each problem.

3 groups of 4
12 shared into 3 groups
5 rows of 6
20 split into 4 equal piles
2 bags of 8 lollies
18 pencils in 3 cups
Multiplication
Division
21

Multiplication Word Problems

Solve each problem. Show your working.

There are 8 spiders. Each spider has 8 legs. How many legs altogether?

A car has 4 wheels. How many wheels on 7 cars?

There are 6 bags with 5 oranges in each. How many oranges altogether?

22

More Multiplication Word Problems

Solve each problem.

A packet has 9 biscuits. How many biscuits in 3 packets?

There are 5 shelves with 8 books on each. How many books?

A garden has 4 rows with 7 flowers in each row. How many flowers?

23

Division Word Problems

Solve each problem. Show your working.

24 biscuits are shared equally among 4 children. How many each?

There are 30 pencils put into bundles of 5. How many bundles?

A baker has 21 muffins. She puts 3 in each box. How many boxes?

24

More Division Word Problems

Solve each problem.

36 eggs are packed into boxes of 6. How many boxes?

28 children form teams of 4. How many teams?

45 apples are shared equally among 5 baskets. How many per basket?

25

Mixed Word Problems

Decide: is it multiplication or division? Then solve.

6 children each bring 4 cupcakes. How many cupcakes? (× or ÷) ___

32 stickers shared among 8 friends. How many each? (× or ÷) ___

3 teams of 9 players. How many players? (× or ÷) ___

26

Home Activity: Groups at Home

Find groups and sharing problems at home!

  • 1Set the table for dinner. If 4 people each need a knife, fork and spoon, how many pieces of cutlery?
  • 2Share 20 grapes equally among your family. How many each?
  • 3Count how many legs in your house (people + pets). Use multiplication!
  • 4Put toys into equal groups. Write the multiplication and division facts.
27

Groups of 6

Count the groups. Write the total.

?
?
?
×10
×10
?
28

Groups of 7

Count the objects. Write the total.

?
?
×10
×10
?
×10
×10
?
29

6 Times Table Preview

Fill in the missing number.

6
1
?
12
?
2
18
3
?
24
?
4
30
5
?
36
?
6
30

7 Times Table Preview

Fill in the missing number.

7
1
?
14
?
2
21
3
?
28
?
4
35
5
?
42
?
6
31

8 Times Table Preview

Fill in the missing number.

8
1
?
16
?
2
24
3
?
32
?
4
40
5
?
48
?
6
32

9 Times Table Preview

Fill in the missing number.

9
1
?
18
?
2
27
3
?
36
?
4
45
5
?
54
?
6
33

Match Multiplication to Division — Set A

Match each multiplication to its related division.

2 × 8 = 16
3 × 6 = 18
4 × 5 = 20
6 × 7 = 42
20 ÷ 4 = 5
42 ÷ 6 = 7
16 ÷ 2 = 8
18 ÷ 3 = 6
34

Match Multiplication to Division — Set B

Match each multiplication to its related division.

5 × 7 = 35
3 × 9 = 27
4 × 8 = 32
6 × 6 = 36
32 ÷ 4 = 8
35 ÷ 5 = 7
36 ÷ 6 = 6
27 ÷ 3 = 9
35

Match Word Problems to Operations — Set A

Match each story to the correct operation.

7 boxes, 4 cakes in each
35 children in 5 groups
6 rows of 8 seats
40 oranges in bags of 8
40 ÷ 8
6 × 8
7 × 4
35 ÷ 5
36

Match Word Problems to Operations — Set B

Match.

3 packets of 9 stickers
24 pencils in groups of 6
8 bags of 7 apples
45 shared among 9
45 ÷ 9
24 ÷ 6
3 × 9
8 × 7
37

Fact Families — Set A

Circle the fact that belongs in the same family.

5 × 7 = 35

35 ÷ 5 = 7
35 − 5 = 30
35 + 5 = 40

6 × 8 = 48

48 ÷ 6 = 8
48 − 6 = 42
48 + 6 = 54

4 × 9 = 36

36 ÷ 4 = 9
36 − 4 = 32
36 + 4 = 40
38

Fact Families — Set B

Circle the fact that belongs.

3 × 7 = 21

21 ÷ 3 = 7
21 + 3 = 24
21 − 7 = 14

9 × 8 = 72

72 ÷ 8 = 9
72 + 8 = 80
72 − 9 = 63

6 × 5 = 30

30 ÷ 6 = 5
30 + 5 = 35
30 − 6 = 24
39

Division — Equal Groups

Circle the correct answer.

48 ÷ 6 = ?

6
7
8

56 ÷ 7 = ?

7
8
9

63 ÷ 9 = ?

6
7
8

54 ÷ 6 = ?

7
8
9
40

Multiplication — Quick Recall

Circle the correct answer.

7 × 6 = ?

36
42
48

8 × 7 = ?

49
56
63

9 × 6 = ?

48
54
60

8 × 8 = ?

56
64
72
41

Write All 4 Facts — Set A

Write all 4 facts for each group.

6, 7, 42 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

8, 9, 72 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

42

Write All 4 Facts — Set B

Write all 4 facts for each group.

5, 8, 40 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

7, 9, 63 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

43

Multiplication Word Problems — Set C

Solve each problem.

7 children each have 6 pencils. How many pencils? ___

8 bags each hold 9 oranges. How many oranges? ___

6 rows of 7 chairs. How many chairs? ___

44

Division Word Problems — Set C

Solve each problem.

48 marbles shared among 6 children. How many each? ___

63 biscuits in groups of 7. How many groups? ___

56 flowers in 8 vases equally. How many per vase? ___

45

Mixed Multiplication and Division — Set A

Solve. Write × or ÷.

6 ___ 8 = 48

56 ___ 7 = 8

9 ___ 7 = 63

72 ___ 9 = 8

46

Mixed Multiplication and Division — Set B

Solve each. Write × or ÷.

36 ___ 4 = 9

5 ___ 9 = 45

49 ___ 7 = 7

8 ___ 6 = 48

47

Sort: Known Fact or Need to Work Out?

Sort each problem.

2 × 5 = 10
7 × 8 = ?
3 × 4 = 12
6 × 9 = ?
10 × 4 = 40
8 × 7 = ?
I know it right away
I need to work it out
48

Sort: Multiplication or Division Story?

Sort each problem type.

7 bags of 6 apples each
42 apples into 7 equal bags
5 rows of 9 chairs
45 chairs into 5 rows
8 groups of 4 marbles
32 marbles into 4 equal groups
Multiplication story
Division story
49

Times Table Score

Count the tally marks for each table.

ItemTallyTotal
3 times table
4 times table
5 times table
6 times table
50

Multiplication Facts Pictograph

How many students got each table correct?

×2 table
×3 table
×4 table
×5 table
1

Which times table did most students get right?

2

How many students got the ×4 and ×5 tables right combined?

3

How many students were tested?

51

Investigate Arrays

Draw or describe an array for each multiplication.

Draw a 4 × 6 array. How many altogether? ___

Draw here

Draw a 3 × 7 array. How many altogether? ___

Draw here

Turn your 4 × 6 array the other way. Write the new multiplication: ___

52

Remainders Exploration

When we can't share equally, we have a remainder.

17 ÷ 3 = ___ remainder ___

25 ÷ 4 = ___ remainder ___

31 ÷ 5 = ___ remainder ___

Make up your own division with a remainder: ___ ÷ ___ = ___ remainder ___

53

Multiplication and Real Life

Think of a time you might use multiplication in real life. Solve the problem.

I would use multiplication when: ___ My problem: ___ Answer: ___

I would use division when: ___ My problem: ___ Answer: ___

54

Check by Multiplication

Check each division by multiplying.

42 ÷ 7 = ___. Check: 7 × ___ = ___

54 ÷ 9 = ___. Check: 9 × ___ = ___

48 ÷ 6 = ___. Check: 6 × ___ = ___

72 ÷ 8 = ___. Check: 8 × ___ = ___

55

Count Objects in Rows (Array)

Count the objects arranged in rows. Write as multiplication.

?
×10
×10
?
×10
×10
?
×10
×10
×10
?
56

Groups Pattern

Fill in the next total as more groups are added.

6
12
18
30
?
7
14
21
35
?
8
16
32
40
?
57

Multiplication or Division?

Circle the correct operation for each situation.

How many wheels on 8 cars?

8 × 4 = 32
8 ÷ 4 = 2
8 + 4 = 12

Share 45 equally among 9 people

45 × 9 = 405
45 ÷ 9 = 5
45 − 9 = 36

7 rows of 6 trees

7 + 6 = 13
7 × 6 = 42
42 ÷ 7 = 6

36 books into piles of 4

36 ÷ 4 = 9
36 × 4 = 144
36 + 4 = 40
58

Multiplication Problems from Real Life

Write a multiplication for each real-life situation.

6 eggs per carton × 4 cartons = ___

5 school days × 3 subjects per day = ___

9 students × 4 crayons each = ___

59

Division Problems from Real Life

Write a division for each real-life situation.

30 students shared into 5 equal groups = ___

56 items into bags of 7 = ___

72 biscuits shared equally among 8 children = ___

60

Match Problems to Answers — Multiplication

Match.

5 × 9
7 × 7
6 × 8
9 × 9
81
48
45
49
61

Match Problems to Answers — Division

Match.

56 ÷ 8
40 ÷ 5
27 ÷ 3
24 ÷ 4
9
7
8
6
62

Home Activity: Times Tables Games

Make times tables fun at home!

  • 1Make multiplication flash cards for the 6, 7, 8 tables. Practice daily.
  • 2Play 'buzz' – say numbers in order, but buzz on multiples of 3.
  • 3Find multiplication in cooking: if a recipe serves 4, what do you need for 8?
  • 4Challenge a family member to a times tables race.
63

Multiplication Facts — Mixed

Fill in the missing factor.

32
4
?
45
?
9
35
5
?
56
?
8
63
9
?
42
?
6
64

Division Bonds

Fill in the missing number.

48
6
?
54
?
6
28
7
?
36
?
9
40
8
?
24
?
3
65

Skip Count by 6

Fill in the missing multiples of 6.

6
12
24
30
?
24
36
42
?
?
42
48
60
?
?
66

Skip Count by 7

Fill in the missing multiples of 7.

7
14
28
35
?
28
42
49
?
?
49
56
70
?
?
67

Skip Count by 8

Fill in the missing multiples of 8.

8
16
32
40
?
32
48
56
?
?
56
64
80
?
?
68

Which Answer Is Correct? — Set A

Circle the correct answer.

8 × 7 = ?

54
56
64

9 × 6 = ?

54
56
63

7 × 7 = ?

47
49
56

6 × 8 = ?

46
48
54
69

Which Answer Is Correct? — Set B

Circle the correct answer.

6 × 7 = ?

36
42
48

8 × 9 = ?

63
72
81

7 × 9 = ?

56
63
72

6 × 6 = ?

30
36
42
70

Match Arrays to Multiplications

Match the array description to the multiplication.

3 rows of 8
4 rows of 7
6 rows of 5
7 rows of 6
7 × 6 = 42
6 × 5 = 30
4 × 7 = 28
3 × 8 = 24
71

Match Division to Multiplication Check

Match each division to the multiplication you'd use to check it.

56 ÷ 7 = 8
63 ÷ 9 = 7
48 ÷ 8 = 6
42 ÷ 6 = 7
6 × 8 = 48
8 × 7 = 56
7 × 9 = 63
7 × 6 = 42
72

Sort: Product Less Than 40 or 40+?

Estimate or calculate and sort.

5 × 7
6 × 8
3 × 9
7 × 7
4 × 6
9 × 9
Product less than 40
Product 40 or more
73

Sort: Division With Remainder or Without?

Work out which have a remainder.

30 ÷ 6
35 ÷ 6
48 ÷ 8
50 ÷ 8
36 ÷ 9
40 ÷ 9
No remainder
Has a remainder
74

Count Arrays — Rows of 6

Each row has 6 objects. How many in total?

?
?
?
?
75

Count Arrays — Rows of 7

Each row has 7 objects. How many in total?

?
?
?
?
76

Write the Fact Family — Set C

Write all 4 facts.

7, 8, 56: ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

6, 9, 54: ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

77

Missing Factor Problems

Find the missing number.

___ × 6 = 42

7 × ___ = 56

___ × 9 = 81

8 × ___ = 64

78

Multiplication Story Problems — Set D

Solve each problem.

8 children each have 7 stickers. How many stickers altogether? ___

9 boxes each hold 6 apples. How many apples? ___

6 shelves each have 9 books. How many books? ___

79

Division Story Problems — Set D

Solve each problem.

72 lollies divided equally into 9 bags. How many per bag? ___

56 students in groups of 7. How many groups? ___

64 apples shared equally among 8 students. How many each? ___

80

Commutative Property

Show that order doesn't matter in multiplication.

6 × 7 = ___ and 7 × 6 = ___. Are they the same? ___

8 × 9 = ___ and 9 × 8 = ___. Are they the same? ___

Why does order not matter in multiplication? ___

81

Multiply by 10 Pattern

Use the pattern to solve.

6 × 10 = ___ and 60 × 10 = ___ and 6 × 100 = ___

7 × 10 = ___ and 70 × 10 = ___ and 7 × 100 = ___

What pattern do you notice when multiplying by 10 or 100? ___

82

Multiplication and Area Introduction

A rectangle's area = length × width.

A rectangle is 6 units long and 7 units wide. Area = ___ × ___ = ___

A rectangle is 8 units long and 9 units wide. Area = ___ × ___ = ___

Draw and label a rectangle with an area of 48 square units.

Draw here
83

My Times Table Scores

Record your times table scores.

ItemTallyTotal
×6 table
×7 table
×8 table
×9 table
84

Multiplication Challenge Scores

This graph shows students' scores on the multiplication challenge.

10/10
8-9/10
6-7/10
Under 6
1

How many students scored 10/10?

2

How many scored at least 8/10?

3

How many students took the challenge?

85

Squared Numbers

A number multiplied by itself is a square number.

4 × 4 = ?

8
16
44

7 × 7 = ?

14
49
77

9 × 9 = ?

18
81
99

6 × 6 = ?

12
36
66
86

Reflect on Multiplication Strategies

Think about how you solve multiplication problems.

My favourite strategy is: ___ Example: ___

When I don't know a fact I: ___

The hardest times table for me is: ___ I will practise it by: ___

87

Home Activity: Arrays Everywhere

Find arrays in your home!

  • 1Look for arrays in your kitchen (e.g. a muffin tray with 3 rows of 4). Write as multiplication.
  • 2Look at a brick wall or tiled floor. Count the rows and columns.
  • 3Make your own array with coins or pasta pieces. Write the multiplication.
  • 4Challenge: find an array where you can write 4 related facts.
88

Multiplication or Division?

Circle the correct operation to solve each problem.

Share 36 among 4 — which operation?

Multiply
Divide

4 groups of 9 — which operation?

Multiply
Divide

How many in 7 groups of 6?

Multiply
Divide

Split 45 equally into 9 — which?

Multiply
Divide
89

Multiplication Counting by 9s

Fill in the missing multiples of 9.

9
18
36
45
?
36
54
63
?
?
63
72
90
?
?
90

Arrays — Find the Missing Dimension

Complete each array fact.

24
4
?
36
?
6
54
9
?
72
?
8
49
7
?
91

Match: Multiplication to Division Fact

Match each multiplication fact to its related division fact.

5 × 9 = 45
7 × 6 = 42
8 × 4 = 32
9 × 3 = 27
42 ÷ 6 = 7
27 ÷ 3 = 9
32 ÷ 4 = 8
45 ÷ 9 = 5
92

Write All Four Facts

Given three numbers, write all four related facts.

Numbers: 6, 7, 42 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

Numbers: 8, 9, 72 ___ × ___ = ___ ___ × ___ = ___ ___ ÷ ___ = ___ ___ ÷ ___ = ___

93

Word Problem — Equal Sharing

Write the division sentence and solve.

63 eggs shared equally among 7 cartons. How many in each carton? ___ ÷ ___ = ___

Arrange 56 chairs into 8 equal rows. How many in each row? ___ ÷ ___ = ___

What is the connection between these division facts and multiplication?

94

Sort Facts: Multiples of 6, 7 or 8?

Write each product in the correct column.

42
56
48
63
36
72
Multiple of 6
Multiple of 7
Multiple of 8
95

Multiplication Array Count

Count the objects and write as multiplication.

?
?
?
?
96

Times Table Quiz Scores

This graph shows quiz scores for each times table.

6 times table
7 times table
8 times table
9 times table
1

Which table had the highest score?

2

How many points scored in 6s and 8s combined?

3

What is the total of all four scores?

97

Home Activity: Multiplication Bingo

Play multiplication bingo at home!

  • 1Write 9 multiples of 6, 7 or 8 on a 3×3 grid. Caller says a multiplication fact. Cross off the answer.
  • 2Make two boards and play against a family member.
  • 3Call out a division fact instead — the other person finds the matching multiplication answer.
  • 4Try a speed version: answer before counting to 5.
98

Multiplication Word Problems

Circle the correct answer.

7 rows of 8 chairs = ___ chairs

54
56
64

6 bags of 9 apples = ___ apples

54
56
63

If 8 × 7 = 56, then 56 ÷ 8 = ___

6
7
8

9 × 9 = ___

72
81
90
99

Skip Count by 9s

Fill in the missing multiples of 9.

9
18
27
45
?
54
63
81
90
?
27
36
45
54
?
100

Division from Multiplication

Use the multiplication fact to find the division.

56
8
?
63
?
7
48
6
?
72
?
8
81
9
?
101

Match Fact Family

Match the multiplication to its related division.

6 × 8 = 48
7 × 9 = 63
8 × 8 = 64
6 × 9 = 54
63 ÷ 7 = 9
54 ÷ 9 = 6
48 ÷ 6 = 8
64 ÷ 8 = 8
102

Higher Multiplication Problems

Use known facts to solve these.

If 6 × 7 = 42, then 6 × 70 = ___. Explain: ___

If 8 × 9 = 72, then 80 × 9 = ___. Explain: ___

Use a multiplication fact you know to solve 120 ÷ 4 = ___:

103

Sort: Which Times Table?

Sort each product into the times table it belongs to.

42
72
63
48
81
56
6 times table
7 times table
8 times table
9 times table
104

Home Activity: Times Table Mastery Test

Give yourself a times tables mastery test!

  • 1Write out 6×, 7×, 8×, 9× tables from memory. Time yourself.
  • 2Ask a family member to call out random facts from these tables.
  • 3Identify which facts you found hardest. Practise those specifically.
  • 4On Friday, test yourself again. Did you improve?