Division
Use grouping, sharing, dividing and calculating
skills. Practise formal algorithms without
remainders and extend to 3 digits divided by
a 1–digit divisor.
Pictorial representation, formal working,
number wheels, problem solving, completing
grids, patterning and true and false statements
reinforce the division concept.
The activity page is a colouring puzzle which
involves recognition of 7 as a divisor with
no remainder.
There are two assessment pages.
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Middle Primary
Division
BLM CONTENT
UNIT 1
Grouping
Multiplication
Use signs
Use number lines
CONTENT DESCRIPTIONS
Number and place value: ACMNA075
Recall multiplication facts up to 10 × 10 and related
division facts.
Number and place value: ACMNA076
Develop efficient mental and written strategies and
use appropriate digital technologies for multiplication
and for division where there is no remainder.
© Australian Curriculum, Assessment and Reporting Authority 2012
Proficiency strands
Understanding:
• Multiplication facts are related to division facts.
Fluency:
• Use grouping as a division strategy.
• Use knowledge of multiplication facts to solve
division problems.
• Use sharing as a division strategy.
• Use a number line as a division strategy.
• Use signs in division number sentences.
• Model and explain patterns in number facts.
LANGUAGE
sharing, groups of, division, sign, remainder, equal,
left over, repeated, subtraction, regrouped
MATERIALS
counters, blank paper, Base 10 materials, coloured
pencils
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•
materials needed for each BLM
1.1 Grouping – circling groups; colouring; sharing
with counters.
• coloured pencils, counters
1.2 Equal rows – draw diagrams (arrays) to show
division and multiplication connected.
• counters
1.3 Number sentences – write number sentences
for division and multiplication.
1.4 Number lines to divide – count by multiples and
use them to answer division problems.
1.5 Use signs – use signs to make a number sentence;
use multiplication to check division.
1.6 Use multiplication – more use of multiplication
to check addition
1.7 Assessment
1.8 Division – dividing by 7 and colouring
Remember
Before starting ensure each student:
• has a sharp B or 2B pencil.
• reads problem solving
questions twice.
• checks answers.
• uses a ruler when setting
questions out formally.
*
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Division Unit 1
ADDITIONAL ACTIVITIES
•
Draw number lines. Start at the large number
being divided and then subtract back the number
that is shared.
21 ÷ 3 = 7
•
Use a pack of playing cards to play sharing games.
•
Make 2 dice numbered 4–9. Each player throws
the dice and finds the product of the two numbers
rolled. The highest score wins. Play in small
groups.
•
A clock face can be used to help count in lots of
five.
•
Take ten lots of hundred squares. Colour all the
multiples of 3 one colour, 4 another colour and
so on. Allow students to see the patterns forming.
ANSWERS (cont.)
3 4, 8, 12, 16, 20, 24, 32, 36, 40
a 5
b 6
c 9
d 7
4 a 8, 3, 0, 5, 30
b 8, 10, 3, 16, 11
c 2, 4, 42, 9, 8
d 4, 70,90,60, 100
e 40, 56, 72, 80, 8
5 a 7
b 3
c 4
d 5
e 24
f $5
6 Teacher check
BLM 1.5
1 All answers are ÷ =
2 a 42 ÷ 6 = 7
b 9÷3=3
c 21 ÷ 7 = 3
d 36 ÷ 6 = 6
e 10 ÷ 2 = 5
f 28 ÷ 4 = 79
g 45 ÷ 5 = 9
h 6÷6=1
i 32 ÷ 8 = 4
3 a ÷,×
b ÷,÷
c ÷,×
d ÷,+
e ÷,+
f ÷,÷
4 Teacher check
5 b 24 ÷ 6 = 4, 6 × 4 = 24
c 33 ÷ 3 = 11, 3 × 11 = 33
d 27 ÷ 9 = 3, 3 × 9 = 27
BLM 1.6
ANSWERS
BLM 1.1
1 a 5
2 a 7
3 a 7
b 8
b 24, 6
b 6
c 10
c 30, 6
d 9
BLM 1.2
1 Teacher check
2 a 9 × 4 = 36, 4 × 9 = 36
b 5 × 10 = 50, 10 × 5 = 50
c 4 × 7 = 28, 7 × 4 = 28
d 7 × 9 = 63, 9 × 7 = 63
e 9 × 5 = 45, 5 × 9 = 45
f 9 × 8 = 72, 8 × 9 = 72
BLM 1.3
1 b
c
d
e
f
g
h
2 a
c
e
40 ÷ 5 = 8; 8 × 5 = 40, 5 × 8 = 40
9 ÷ 3 = 3; 3 × 3 = 9
70 ÷ 10 = 7; 7 × 10 = 70, 10 × 7 = 70
36 ÷ 4 = 9; 4 × 9 = 36, 9 × 4 = 36
35 ÷ 5 = 7; 7 × 5 = 35, 5 × 7 = 35
21 ÷ 3 = 7; 7 × 3 = 21, 3 × 7 = 21
18 ÷ 2 = 9; 9 × 2 = 18, 2 × 9 = 18
12 teams of 2
b 8 teams of 3
6 teams of 4
d 4 teams of 6
3 teams of 8
f 2 teams of 12
BLM 1.4
1 3,
a
2 5,
a
6, 9, 12, 15, 18, 21, 24, 27, 30
7
b 4
c 6
10, 15, 20, 25, 30, 35, 40, 45, 50
5
b 7
c 10
1 a
c
e
g
i
2 a
c
e
g
i
3 a
e
i
4 a
c
e
g,
4 × 4 = 16
3 × 10 = 30
5 × 12 = 60
10 × 10 = 100
4 × 8 = 32
27 ÷ 3 = 9
30 ÷ 6 = 5
40 ÷ 5 = 8
14 ÷ 2 = 7
45 ÷ 5 = 9
36
b 81
63
f 8
80
j 48
27 ÷ 3 = 9
33 ÷ 3 = 11
32 ÷ 8 = 4
h, i Teacher check
BLM 1.7
1 a 56 ÷ 7 = 8
2 a 4
b 4
e 5
f 6
i 8
j 6
3 a 27 ÷ 3 = 9
4 a 12, 12 × 2 = 24
c 7, 7 × 5 = 35
e 11, 11 × 3 = 33
5 3 × 7 = 21, 7 × 3 = 21,
b
d
f
h
4
3
6
3
b
d
f
h
28
36
49
24
c
g
k
b
d
f
21
d 36
36
h 18
55
l 56
90 ÷ 9 = 10
60 ÷ 12 = 5
45 ÷ 9 = 5
×
×
×
×
7
6
7
5
÷
÷
÷
÷
=
=
=
=
7
4
7
3
28
18
42
15
=
=
=
=
4
9
7
8
b 28 ÷ 7 = 4
c 4
d 3
g 3
h 2
k 4
l 7
b $300 ÷ 10 = $30
b 8, 8 × 3 = 24
d 7, 7 × 3 = 21
f 2, 9 × 2= 18
21 ÷ 3 = 7, 21 ÷ 7 = 3
BLM 1.8
d 9
d 8
A clown – Teacher check
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Grouping
Division 1.1
Name
Date
You will need coloured pencils and counters.
1
Use different colours to make equal groups. Complete the word
and number sentences to record results.
a
b
5 in each group
4 in each group
♥ ♥♥ ♥ ♥♥ ♥♥
♥ ♥ ♥ ♥ ♥♥ ♥
♥ ♥ ♥ ♥♥ ♥ ♥
♥ ♥ ♥
There are _____ groups of 5 hearts. There are _____ groups of 4 squares.
25 ÷ 5 = _____ 32 ÷ 4 = _____
c
3 in each group
★★★ ★ ★★★
★★ ★ ★★ ★★ ★
★ ★★ ★ ★★★
★★ ★★ ★★ ★★
d
2 in each group
▲ ▲ ▲ ▲ ▲ ▲
▲ ▲ ▲ ▲
▲
▲ ▲
▲ ▲ ▲ ▲ ▲
There are _____ groups of 3 stars. There are _____ groups of 2 triangles.
30 ÷ 3 = _____ 18 ÷ 2 = _____
2
Complete the sentences below.
b
a
Groups of 4
Groups of 3
o o oo
✓ ✓ ✓ ✓ ✓✓✓ ✓
o o ooo
✓✓ ✓ ✓ ✓✓✓ ✓✓
o ooo oo
✓ ✓✓ ✓ ✓✓✓
oo oooo
c
Groups of 5
××××××××××
××××××××××
××××××××××
21 shared between _____ shared between _____ shared between
3 equals _____ . 4 equals _____ . 5 equals _____ .
3
Use counters to help you solve these sharing problems.
a 28 counters shared among 4 people equals ______
b 36 counters shared among 6 people equals ______
64
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Fluency: Use grouping as a division strategy.
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Equal Rows
Name
Division 1.2
Date
You will need counters.
1
Arrange each group in rows using counters. Draw them.
Under each drawing write a number sentence.
a 36 arranged in 4 equal rows b 50 arranged in 5 equal rows c 28 arranged in 7 equal rows
_____ ÷ _____ = _______
_____ ÷ _____ = _______
_____ ÷ _____ = _______
d 63 arranged in 9 equal rows e 45 arranged in 5 equal rows f 72 arranged in 9 equal rows
_____ ÷ _____ = _______
2
_____ ÷ _____ = _______
_____ ÷ _____ = _______
Write two multiplication number sentences to describe each of the arrays.
a ___________________________________ ___________________________________
b ___________________________________ ___________________________________
c ___________________________________ ___________________________________
d ___________________________________ ___________________________________
e ___________________________________ ___________________________________
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Understanding: Multiplication facts are related to division facts. Fluency: Use grouping as a division strategy.
Use knowledge of multiplication facts to solve division problems.
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Division and Multiplication
Name
Division 1.3
Date
You will need counters.
1
Solve these problems using your counters. Show that division is the
opposite of multiplication. The first one has been done for you.
6
24 ÷ 4 = 6
a How many groups of 4 in 24?
4 × 6 = 24, 6 × 4 = 24
b How many groups of 5 in 40?
_____
c Share 9 pencils among 3 boys.
_____
d Share 70 balls among 10 children.
_____
e How many groups of 9 in 36?
_____
f Share 35 lollies among 5 girls.
_____
g How many groups of 3 in 21?
_____
h How many groups of 2 in 18?
_____
2
__________
_______________ _______________
__________
_______________ _______________
__________
_______________ _______________
__________
_______________ _______________
__________
_______________ _______________
__________
_______________ _______________
__________
_______________ _______________
There are 24 children in my class. Use a symbol for each child (say J)
and show my class divided into teams of 2, 3, 4, 6, 8 and 12.
(JJJ, JJJ, JJJ, JJJ shows 4 teams of 3 children.)
a Teams of 2:
b Teams of 3:
c Teams of 4:
d Teams of 6:
e Teams of 8:
f Teams of 12:
66
Number and place value: ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts.
Understanding: Multiplication facts are related to division facts. Fluency: Use knowledge of multiplication facts to solve division problems.
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Number Lines to Divide
Name
1
Division 1.4
Date
Write the multiples of 3.
3
30
Use this number line to find how many threes in:
a 21 ________
2
b 12 ________
c 18 ________
d 27 ________
Write the multiples of 5.
5
10
Use this number line to find how many fives in:
a 25 ________
3
b 35 ________
c 50 ________
d 40 ________
c 36 ________
d 28 ________
Write the multiples of 4.
4
12
Use the number line to find how many 4s in:
a 20 ________
4
Complete:
a N ÷3
b 24 ________
bL
c
B
÷6
24
32
12
9
40
24
0
12
15
44
d
K
÷ 10
e
A
40
÷8
5
7
7
9
9
54
6
10
48
10
7
4
10
5
÷4
64
a 42 pop-sticks, 6 bundles. __________ pop-sticks in each bundle.
b 27 choc-bars, 9 children. __________ choc-bars for each child.
c 16 kilometres, 4 hours to walk. __________ km walked each hour.
d 25 eggs collected for the week, 5 hens. __________ eggs laid by each hen.
e 48 jelly bubbles, 2 bags. __________ jelly bubbles in each bag.
f $15 to spend in 3 days. __________ to spend each day.
Number and place value: ACMNA076 Develop efficient multiplication strategies and use appropriate digital technologies for multiplication and for division
where there is no remainder. Understanding: Multiplication facts are related to division facts. Fluency: Use a number line as a division strategy.
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Use Signs
Division 1.5
Name
1
2
3
4
5
68
Date
Place the ÷ sign and the = sign in the squares so that each number
sentence is correct.
a
48
6
8
b
100
10
10
c
18
2
9
d
55
5
11
e
63
9
7
f
14
7
2
g
25
5
5
h
56
7
8
i
36
12
3
Include the division sign, equal sign and the answer.
a
42
6 ____
b
9
3 ____
c
21
7 ____
d
36
6 ____
e
10
2 ____
f
28
4 ____
g
45
5 ____
h
6
6 ____
i
32
8 ____
Use trial and error. Write a sign on the ___, the answer in the
make the sides balance.
and
a 32 ___ 4 = 4 ___ 2
b 6 ___ 2 = 12 ___ 4
c 50 ___ 5 = 5 ___ 2
d 21 ___ 3 = 4 ___ 3
e 28 ___ 4 = 4 ___ 3
f 36 ___6 = 18 ___ 3
Make some of your own division number sentences.
a ___
___
___
b ___
___
___
c ___
___
___
d ___
___
___
e ___
___
___
f ___
___
___
g ___
___
___
h ___
___
___
i ___
___
___
Use multiplication tables to check that you have divided correctly.
The first one has been done for you.
a 15 ÷ 3 = 5,
5 × 3 = 15
b 24 ÷ 6 = ___ ,
6 × ___ = 24
c 33 ÷ 3 = 11,
___ × ___ = ___
d 27 ÷ 9 = ___ ,
___ × 3 = ___
Number and place value: ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts. Understanding: Multiplication facts are related
to division facts. Fluency: Use knowledge of multiplication facts to solve division problems. Use signs in division number sentences.
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Use Multiplication
Division 1.6
Name
1
Date
What multiplication fact will help you to answer each division?
a 16 ÷ 4 ______________
b 28 ÷ 7 ______________
c 30 ÷ 10 ______________
d 18 ÷ 3 ______________
e 60 ÷ 12 ______________
f 42 ÷ 6 ______________
g 100 ÷ 10 = ______________ h 15 ÷ 5 ______________
2
3
4
i 32 ÷ 8 ______________
What division fact will you know if you know each multiplication?
a 3 × 9 ______________
b 7 × 4 ______________
c 6 × 5 ______________
d 4 × 9 ______________
e 5 × 8 ______________
f 7 × 7 ______________
g 2 × 7 ______________
h 3 × 8 ______________
i 9 × 5 ______________
Fill in the boxes.
a
÷6=6
b
e
÷7=9
f
i
÷ 8 = 10
j
c
÷7=3
d
÷ 3 = 12
÷2=4
g
÷4=9
h
÷2=9
÷6=8
k
÷ 5 = 11
l
÷ 1 = 56
÷9=9
Read each story and write a division number sentence to represent each
one. Write your own story for g, h, and i.
÷
=
a 27 hockey players in 3 teams
b 90 books to be placed equally on 9 shelves
÷
=
c 33 children in 3 equal classes
÷
=
d 60 oranges for 12 children on camp
÷
=
e 32 bottles to be placed equally in 8 boxes
÷
=
f 45 flowers arranged in 9 vases equally
÷
=
g ___________________________________________________________
h ___________________________________________________________
i ___________________________________________________________
75 ÷ 5 = 15
84 ÷ 4 = 21
56 ÷ 8 = 7
Number and place value: ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts. Understanding: Multiplication facts are related
to division facts. Fluency: Use knowledge of multiplication facts to solve division problems.
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Assessment • Division
Name
1
Date
How many groups of seven are there in each box? Circle each group
and write the number sentence below.
a
b
★ ★ ★ ★ ★ ★
★ ★ ★ ★ ★ ★ ★ ★
★ ★ ★ ★ ★ ★ ★ ★
★ ★ ★ ★ ★ ★ ★
♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥
♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥
♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥
♥♥♥♥♥♥♥♥♥
56 ÷ ____ = ____
2
3
Division 1.7
28 ÷ ____ = ____
Complete:
a 12 ÷ 3 = ______
b 20 ÷ 5 = ______
c 16 ÷ 4 = ______
d 30 ÷ 10 = ______
e 25 ÷ 5 = ______
f 18 ÷ 3 = ______
g 18 ÷ 6 = ______
h 10 ÷ 5 = ______
i 40 ÷ 5 = ______
j 36 ÷ 6 = ______
k 32 ÷ 8 = ______
l 14 ÷ 2 = ______
Read the division problems and write the number sentences for each
one to help you solve them.
a There were twenty-seven presents under the Christmas tree for the three
Neale children. How many presents did each of the children receive when
they shared them equally?
_____ ÷ _____ = _____
b Ten people shared a $300 Lotto win equally.
How much money did each person receive?
_____ ÷ _____ = _____
4
Show another way of writing the division problem using multiplication.
a 24 ÷ 2 = _____ , _____ × _____ = _____ b 24 ÷ 3 = _____ , _____ × _____ = _____
c 35 ÷ 5 = _____ , _____ × _____ = _____ d 21 ÷ 3 = _____ , _____ × _____ = _____
e 33 ÷ 3 = _____ , _____ × _____ = _____ f 18 ÷ 9 = _____ , _____ × _____ = _____
5
Write two division number sentences and two multiplication number
sentences for this array.
✘
✘ ✘ ✘ ✘ ✘ ✘
✘ ✘ ✘ ✘ ✘ ✘ ✘
✘ ✘ ✘ ✘ ✘ ✘ ✘
70
_____________________
_____________________
_____________________
_____________________
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Activity • Division
Division 1.8
Name
Date
Colour all the parts which can be divided by 7.
What can you see?
20
54
15
30
17
12
37
32
28
42
44
10
21
54
63
49
21
47
9
35
7
63
58
35
60
5
14
56
69
37
49
62
8
28
64
47
48
7
71
39
56
44
26
21
7
12
63
70
27
1
4
14
35
7
42
70
63
28
70
67
20
50
63
57
24
56
70
40
18
42
27
24
67
16
56
60
54
49
14
51
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Middle Primary
Division
BLM CONTENT
UNIT 2
Problem solving
Formal working
Two steps
Checking by ×
Patterns
CONTENT DESCRIPTIONS
•
materials needed for each BLM
2.1 Sharing – sharing; number sentences
• counters
2.2 Formal division – use the formal algorithm to set
out division problems.
2.3 Division algorithms – use formal setting out
to solve division of tens.
2.4 Problem solving – authentic situations where
division is used to work answers
Number and place value: ACMNA075
Recall multiplication facts up to 10 × 10 and related
division facts.
2.5 Patterns and problems – division patterns use
multiples in reverse order; solve word problems.
Number and place value: ACMNA076
Develop efficient mental and written strategies and
use appropriate digital technologies for multiplication
and for division where there is no remainder.
2.6 Two steps – solve problems which consist of
working out two steps in number sentences; related
multiplication; problems with formal setting out
© Australian Curriculum, Assessment and Reporting Authority 2012
Proficiency strands
Understanding:
• Multiplication facts are related to division facts.
Fluency:
• Use various strategies, including partitioning,
to solve division problems.
• Use signs in division number sentences and in
formal setting out.
• Compare answers to number sentences.
• Recall division facts up to 100.
Problem solving:
• Relate a word problem to a number sentence.
Reasoning:
• Use knowledge of number facts to check
answers.
LANGUAGE
sharing, groups of, division, sign, remainder, repeated
subtraction, grouping, equal, formal, working out
MATERIALS
counters, blank paper
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2.7 Assessment
Remember
Before starting ensure each student:
• has a sharp B or 2B pencil.
• reads problem solving questions
twice.
• checks answers.
• uses a ruler when setting
questions out formally.
*
30/03/12 12:20 PM
Division Unit 2
ADDITIONAL ACTIVITIES
•
•
Divide a class of students into two equal groups.
One group has calculators and the other doesn’t.
Give division questions and have a race to see
which group answers the questions the fastest
and has most correct.
Divide your class into as many even teams as
possible. If this is not possible, talk about the fact
that some numbers are prime numbers and cannot
be divided evenly into groups.
ANSWERS (cont.)
BLM 2.5
1 a
b
c
d
e
f
2 a
c
3 a
e
48, 40, 32, 24, 16, 8
27, 24, 21, 18, 15, 12, 9, 6, 3
42, 36, 24, 18, 12, 6
49, 42, 35, 28, 14, 7
104, 91, 78, 65, 52, 26, 13
105, 90, 75, 45, 30, 15
63 ÷ 3 = 21
b 108 ÷ 2 = 54
217 ÷ 7 = 31
d $126 ÷ 6 = $21
T
b F
c T
d F
T
f F
g F
h F
BLM 2.6
ANSWERS
BLM 2.1
1 a 10 ÷ 2 = 20
c 35 ÷ 7 = 5
f 12 ÷ 12 = 1
2 a 5
b 6
e 6
f 3
i 7
j 2
m 9
n 3
3 Teacher check
BLM 2.2
1 b 6
c 8
f 9
g 7
j 3
k 8
2 a 5
b 14
d 4
e 3
g 4
h 4
j 8
k 3, 5
3 Teacher check
4 a 15 ÷ 3 = 5
c 18 ÷ 3 = 6
BLM 2.3
1 a 50
b
e 90
f
i 90
j
2 a 31
b
e 51
f
3 Teacher check
40
90
70
42
61
b
d
g
c
g
k
o
20 ÷ 4 = 5
16 ÷ 4 = 4
18 ÷ 9 = 2
6
d 5
2
h 1
9
l 3
3
d
h
l
c
f
i
l
5
6
7
6
20
3
36
e 10
i 4
1 a
e
i
2 a
b
c
d
e
f
g
h
i
j
3 a
c
16
b 8
c 72
d 42
36
f 16
g 1
h 108
106
j 179
66 ÷ 6 = 11, 6 × 11 = 66
45 ÷ 9 = 5, 9 × 5 = 45
99 ÷ 33 = 3, 33 × 3 = 99
200 ÷ 10 = 20, 10 × 20 = 200
88 ÷ 8 = 11, 11 × 8 = 88
106 ÷ 2 = 53, 2 × 53 = 106
333 ÷ 3 = 111, 111 × 3 = 333
125 ÷ 5 = 25, 25 × 5 = 125
45 ÷ 15 = 3, 3 × 15 = 45
135 ÷ 5 = 27, 27 × 5 = 135
180 ÷ 9 = 20
b 168 ÷ 2 = 84
$500 ÷ 5 = $100
BLM 2.7
1 a 172 stamps
2 a 15
b 10
e 60
f 2
3 a 51
b 62
e 84
f 90
4 144 ÷ 6 = 24
b
c
g
c
g
$700.00
36
70
93
21
each
d 15
h 81
d 81
h 71
b 35 ÷ 5 = 7
c
g
k
c
g
30
40
90
51
41
d
h
l
d
h
40
20
40
74
93
BLM 2.4
1 a
c
2 a
3 a
b
c
24 ÷ 3 = 8
b 72 ÷ 9 = 8
42 ÷ 7 = 6
d 80 ÷ 8 = 10
9
b 4
c 7
d 9
9, 36, 1, 18, 4, 12, 2, 3
20, 10, 100, 25, 5, 4, 1, 2, 50
6, 24, 12, 4, 1, 3, 2, 8
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Sharing
Division 2.1
Name
Date
You will need counters.
1
Read each problem and write the division number sentence using
the ÷ sign.
a Ten pencils divided into two equal groups
÷
=
b Twenty oranges shared into four bowls equally
÷
=
÷
=
d Sixteen books shared equally among four groups
÷
=
e Twelve drinks divided among twelve soccer players
÷
=
f Eighteen apples shared equally among nine girls
÷
=
c Thirty-five biscuits shared equally among
seven children
2
3
74
Use counters to help complete the number sentences.
a 25 ÷ 5 = _____
b 30 ÷ 5 = _____
c 24 ÷ 4 = _____
d 15 ÷ 3 = _____
e 12 ÷ 2 = _____
f 18 ÷ 6 = _____
g 20 ÷ 10 = _____
h 10 ÷ 10 = _____
i 14 ÷ 2 = _____
j 8 ÷ 4 = _____
k 27 ÷ 3 = _____
l 30 ÷ 10 = _____
m 18 ÷ 2 = _____
n 21 ÷ 7 = _____
o 9 ÷ 3 = _____
Draw diagrams to show the following and write the answers.
a 45 ÷ 5 = _____
b 32 ÷ 8 = _____
c 18 ÷ 8 = _____
d 56 ÷ 8 = _____
e 39 ÷ 3 = _____
f 42 ÷ 6 = _____
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Fluency: Use various strategies, including partitioning, to solve division problems.
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Formal Division
Division 2.2
Name
1
2
Date
Complete the following. The first one has been done for you.
4
a 4 1 6
b 2 1 2
c 3 2 4
d 4 20
e 7 7 0
f 5 4 5
g 4 2 8
h 5 30
i 8 3 2
j 6 1 8
k 7 5 6
l
Fill in the missing numbers so that the algorithm is true.
a
5
25
7
b 2
c
6
36
d 5 20
g
10
40
h 7 28
4
e 7 2 1
i
3
4
6 42
12
36
f 5
j
5
40
1 2
k
15
l
3
Write some of your own number equations. Give them to a friend to solve.
a
b
c
d
e
f
g
h
i
j
k
l
Write the algorithm for each problem.
a 15 geese in 3 pens. How many geese in each pen?
_____ geese
b 35 flowers in 5 bunches. How many flowers in each bunch?
_____ flowers
c 18 smarties for 3 children. How many smarties for each child?
_____ smarties
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Use various strategies, including partitioning, to solve division problems.
Use signs in division number sentences and in formal setting out.
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Division Algorithms
Division 2.3
Name
1
Date
Divide the tens.
a
b
e
f
6 300
i
2
5 450
3 270
j
c
4 160
g
6 540
k
4 280
3 90
5 200
8 720
d
h
l
2 80
7 140
9 360
Divide the tens then the ones.
a 124 ÷ 4 =
eg 183 ÷3 =
b 126 ÷ 3
18 tens and 3 ÷ 3 ______________________ ______________________
= 6 tens and 1 = 61 ______________ = ______ ______________ = ______
c 204 ÷4 =
d 148 ÷ 2 =
e 255 ÷ 5 =
______________________ ______________________ ______________________
______________ = ______ ______________ = ______ ______________ = ______
f 305 ÷ 5 =
g 246 ÷ 6
h 186 ÷ 2
______________________ ______________________ ______________________
______________ = ______ ______________ = ______ ______________ = ______
3
Colour the cells with an answer under 50 blue, between 60 and
70 yellow and over 70 red.
6 126
9 549
8 488
5 205
7 497
6 246
6 480
5 405
7 280
9 369
4 288
4 168
8 328
76
8 568
3 216
2 128
3 189
9 720
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Fluency: Use partitioning to divide numbers over 100.
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Problem Solving
Division 2.4
Name
1
Date
Solve these problems.
a Adam, Nicole and John had
b On an Easter-egg Hunt seventy-two
twenty-four cards. How many chocolate eggs were found. How many
did each receive when they did each of the nine children receive
shared them equally? when they shared them equally?
______ ÷ ______ = ______ ______ ÷ ______ = ______
c Forty-two tomato plants were planted
d Eighty oranges were picked and placed
in seven equal rows. How many were equally into eight boxes. How many
planted in each row? oranges were in each box?
______ ÷ ______ = ______ ______ ÷ ______ = ______ r ______
2
Write a problem for each number sentence and then write the answers.
a ________________________________
b ________________________________
________________________________ ________________________________
________________________________ ________________________________
________________________________ ________________________________
36 ÷ 4 = _____ 28 ÷ 7 = _____
c ________________________________
d ________________________________
________________________________ ________________________________
________________________________ ________________________________
________________________________ ________________________________
56 ÷ 8 = _____ 45 ÷ 5 = _____
3
Complete.
a
b
12 4
18
3
36÷
9
1
36
2
c
50 2
100
5
25 100÷
10
20
1
4
3
12
8
4
24÷
24
1
2
6
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Fluency: Recall division facts up to 100. Problem solving: Relate a word problem to a number sentence.
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Patterns and Problems
Name
1
Division 2.5
Date
Use repeated subtraction to complete these patterns.
a 72, 64, 56, _____ , _____ , _____ , _____ , _____ , _____ , 0.
b 36, 33, 30, _____ , _____ , _____ , _____ , _____ , _____ , _____ , _____ , _____ , 0.
c 54, 48, _____ , _____ , 30, _____ , _____ , _____ , _____ , 0.
d 63, 56, _____ , _____ , _____ , _____ , 21, _____ , _____ , 0.
e 130, 117, _____ , _____ , _____ , _____ , _____ , 39, _____ , _____ , 0.
f 135, 120, _____ , _____ , _____ , 60, _____ , _____ , _____ , 0.
2
Read the following division problems and write two number sentences
to show your working out.
a There were 63 sailors and 3 yachts. How many sailors were on each yacht?
______ ÷ ______ = ______
b There were 108 books to be placed on 2 shelves in the library.
How many books were placed on each shelf?
______ ÷ ______ = ______
c There were 217 children to be organised into 7 equal classes.
How many children were in each class?
______ ÷ ______ = ______
d $126 is to be shared between six children fairly. How much does each child receive?
3
______ ÷ ______ = ______
Write True or False for each statement.
a 63 ÷ 7 < 60 ÷ 6
78
___________
b 8 ÷ 4 > 16 ÷ 2
___________
c 70 ÷ 10 = 63 ÷ 9 ___________
d 24 ÷ 4 < 36 ÷ 6 ___________
e 55 ÷ 5 > 70 ÷ 7
___________
f 44 ÷ 4 < 10 ÷ 2 ___________
g 36 ÷ 9 < 24 ÷ 12 ___________
h 81 ÷ 9 < 90 ÷ 10 ___________
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Fluency: Recall division facts up to 100.
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Two Steps
Division 2.6
Name
1
2
3
Date
Solve these number problems. Remember to complete the brackets first.
a (63 ÷ 7) + (56 ÷ 8) = ______
b (100 ÷ 10) – (24 ÷ 12) = ______
c (24 ÷ 3) × (81 ÷ 9) = ______
d (63 ÷ 3) + (63 ÷ 3) =
______
e (18 ÷ 2) × (36 ÷ 9) = ______
f (72 ÷ 9) + (56 ÷ 7) =
______
g (35 ÷ 5) – (30 ÷ 5) = ______
h (120 ÷ 10) × (90 ÷ 10) = ______
i (54 ÷ 9) + 100 =
j 200 – (63 ÷ 3) =
______
______
Use multiplication to check that you have divided correctly.
a 66 ÷ 6 = ____ ,
6 × ____ = ____
c 99 ÷ 33 = ____ ,
33 × ____ = ____
b 45 ÷ 9 = ____ ,
d 200 ÷ 10 = ____ ,
9 × ____ = ____
10 × ____ = ____
e 88 ÷ 8 = ____ ,
____ × ____ = ____
f 106 ÷ 2 = ____ ,
____ × ____ = ____
g 333 ÷ 3 = ____ ,
____ × ____ = ____
h 125 ÷ 5 = ____ ,
____ × ____ = ____
i 45 ÷ 15 = ____ ,
____ × ____ = ____
j 135 ÷ 5 = ____ ,
5 × ____ = ____
Read the following division problems. Write two ways of working out
your answer.
a Toby had 180 minutes to complete the 9 questions in his maths exam.
How much time did he need to allow each question so that he would finish?
______ ÷ ______ = ______
b Jodie had to travel 168 km to reach her holiday house. If she took 2 days to travel,
how far would she travel each day?
______ ÷ ______ = ______
c Eric won $1000 in a competition. He kept $500 and shared the rest of his
winnings between his 5 brothers. How much did each brother receive?
______ ÷ ______ = ______
Number and place value: ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication
and for division where there is no remainder. Understanding: Multiplication facts are related to division facts. Fluency: Recall division facts up to 100.
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Assessment • Division
Name
1
Division 2.7
Date
Read the problems and show two ways of solving them.
a There were 288 stamps altogether when 4 boys put their collections in one album.
They had all collected the same amount of stamps. How many did each have before
joining them together?
______ ÷ ______ = ______
b There were 8 girls in the rowing team. How much did each girl win when they shared
the prize money of $5600?
2
3
______ ÷ ______ = ______
Solve the following:
a (8 ÷ 2) + (33 ÷ 3) = ______
b (25 ÷ 5) × (20 ÷ 10) = ______
c (36 ÷ 6) × (36 ÷ 6) = ______
d (49 ÷ 7) + (56 ÷ 7) = ______
e (100 ÷ 10) × (24 ÷ 4) = ______
f (55 ÷ 11) – (33 ÷ 11) = ______
g (42 ÷ 6) × (60 ÷ 6) = ______
h (81 ÷ 9) × (81 ÷ 9) = ______
a
c
b
3 153
e
f
2 168
4
4 248
d
3 279
g
5 450
4 324
h
5 105
6 426
Circle groups of 6. Record the shares in two different ways.
______ ÷ ______ = _____
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