Exercise 1
Representing Numbers
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Chapter 1: Number: Solutions
1)
2)
Write as numbers
e)
201
Two hundred and one
a)
Twenty seven
27
f)
111
One hundred and eleven
b)
Forty two
42
g)
0
Zero
c)
Ninety three
93
d)
Twelve
12
e)
Fifty
50
4)
Write as numbers
a)
One hundred and three
103
b)
Two hundred and ninety
seven
297
c)
3)
Exercise 1: Representing Numbers
Six hundred and thirty
three
633
Write down the number that
comes before each of these
numbers
a)
33
32
b)
56
55
c)
105
104
d)
12
11
e)
171
170
f)
109
108
d)
Nine hundred and eleven
911
g)
243
242
e)
Three hundred and twenty
320
h)
190
189
i)
900
899
Write in words
a)
703
Seven hundred and three
j)
30
29
b)
297
Two hundred and ninety
seven
k)
1
0
l)
1000
999
c)
d)
333
Three hundred and thirty
three
90
Ninety
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5)
Write the number that comes after
each of these numbers
a)
19
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Chapter 1: Number: Solutions
Exercise 1: Representing Numbers
20
6)
4 hundreds
b)
109
110
c)
214
4 ones
c)
888
889
d)
427
4 hundreds
d)
223
224
e)
4
4 ones
e)
801
802
f)
40
4 tens
f)
711
712
g)
204
4 ones
g)
999
1000
h)
309
310
Put these numbers in order from
smallest to largest
325, 101, 123, 1000, 946, 121, 15,
221, 323, 104, 694
15, 101, 104, 121, 123, 221, 323,
325, 694, 946, 1000
7)
Put these numbers in order from
largest to smallest.
201, 204, 402, 912, 911, 333, 322,
921, 221, 121, 4
921, 912, 911, 402, 333, 322, 221,
204, 201, 121, 4
8)
What is the value of the number 4
in each of these numbers?
a)
104
4 ones
b)
435
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Exercise 2
Addition & Subtraction
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Chapter 1: Number: Solutions
1)
2)
Add these numbers
d)
435 + 23
458
a)
32 + 14
46
e)
822 + 11
833
b)
47 + 19
66
f)
934 + 73
1007
c)
62 + 35
97
d)
77 + 22
99
a)
86 - 42
44
e)
13 + 17
30
b)
54 - 42
12
f)
41 + 44
85
c)
75 -51
24
d)
225 + 52
277
99 - 33
66
e)
432 + 41
473
54 - 12
42
f)
65 – 21
44
3)
Add these numbers
a)
b)
c)
4)
Exercise 2: Addition & Subtraction
809 + 77
886
Subtract these numbers
Peter has 40 cents, John has 25 cents. How much money do they have between
them?
40 cents plus 25 cents equals 65 cents
5)
Alan weighs 45 kg, Chris weighs 48 kg. How much do they weigh together?
45 kg plus 48 kg equals 93 kg
6)
There are 15 more students in year 3 than in year 4. If there are 46 students in year
3, how many students are in year 4?
46 students plus 15 students equals 61 students
7)
Tom and Jerry have read 40 books between them. If Tom has read 18 books, how
many books has Jerry read?
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Chapter 1: Number: Solutions
Exercise 2: Addition & Subtraction
40 books subtract 18 books equals 22 books
8)
38 students passed a test, 12 failed, and 5 were absent. How many students are in
the class?
38 students plus 12 students plus 5 students equals 55 students
9)
What number is 43 less than 175?
175 subtract 43 equals 132
10)
What is the difference between 210 and 344?
344 subtract 210 equals 134
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Exercise 3
Multiplication & Division
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Chapter 1: Number: Solutions
1)
Exercise 3: Multiplication & Division
d)
In each of the pictures below
 How many dots in each
row?
 How many rows are there?
 How many dots are there in
total?
•••••
•••••
•••••
•••••
•••••
•••••
a)
••••
••••
••••
5 in each row
6 rows
30 dots
4 in each row
3 rows
12 dots
e)
••••
••••
b)
••••••
••••••
••••••
••••••
••••••
4 in each row
2 rows
8 dots
f)
•••
•••
•••
•••
6 in each row
5 rows
30 dots
c)
••
••
••
••
2 in each row
4 rows
8 dots
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3 in each row
4 rows
12 dots
2)
In question 1, which answers are
the same? Why are they the
same?
Answers a and f are the same
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Chapter 1: Number: Solutions
Exercise 3: Multiplication & Division
g)
Answers b and d are the same
Answers c and e are the same
They are the same because it
doesn’t matter which way round
you multiply the numbers as long
as they are the same numbers
6
4)
a)
3)
a)
20 stars
18
How many lots of 6 are
there?
b)
How many lots of 6 in 18?
c)
What is 18 ÷ 6?
d)
How many lots of 3 are
there?
e)
How many lots of 3 in 18?
6
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How many lots of 5 are
there?
4
6 lots of 3
f)
What is 20 ÷ 4?
5
3
e)
How many lots of 4 in 20?
5
3
d)
How many lots of 4 are
there?
5 lots of 4
3 lots of 6
c)
How many stars are there
in the diagram?
****
****
****
****
****
How many stars are there
in the diagram?
******
******
******
b)
What is 18 ÷ 3?
f)
How many lots of 5 in 20?
4
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Chapter 1: Number: Solutions
Exercise 3: Multiplication & Division
32
g)
What is 20 ÷ 5
i)
4
21 ÷ 7
3
5)
Use the first 4 questions or any
other way you know to answer
these questions
j)
32 ÷ 8
4
a)
3×5
15
b)
5×3
15
c)
15 ÷ 5
3
d)
15 ÷ 3
5
e)
24 ÷ 6
4
f)
24 ÷ 4
6
g)
7×3
21
h)
4×8
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6)
Multiply the following
a)
9×5
45
b)
5×9
45
c)
8×4
32
d)
4×8
32
e)
7×6
42
f)
6×7
42
g)
3 × 15 (think of an easier
way to do this)
Is the same as 15 x 3 = 45
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Chapter 1: Number: Solutions
Exercise 3: Multiplication & Division
Or 3 x 15 = 3 x 3 x5 = 9 x 5 = 45
7)
Mary has 4 lollies; Julie has 5 times as many. How many lollies does Julie have?
4 x 5 = 20 lollies
8)
Alan wants to share his lollies amongst himself and his friends so everyone gets the
same amount. He has 3 friends and 24 lollies. How many lollies does each person
get?
24 ÷ 3 = 8
9)
Kathy is having a birthday party and her mum wants to make sure there are enough
cup cakes for everyone. She thinks each person will eat 3 cup cakes. If there are
going to be a total of 11 people at the party how many cup cakes should Karen’s
mum make?
11 x 3 = 33
10)
Every child in Tim’s class received 4 pencils. If 32 pencils were given out, how many
children in Tim’s class?
32 ÷ 4 = 8 children
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Exercise 4
Number Patterns
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Chapter 1: Number: Solutions
1)
Fill in the blanks
a)
Exercise 4: Number Patterns
2)
Fill in the blanks
a)
3, 6, 9, ___, 15
The numbers go up by 3, so
missing number is 12
b)
The numbers go down by 5,
so the missing numbers are
15, 10, and 0
2, 4, ___, 8, 10, ___
b)
The numbers go up by 2, so
the missing numbers are 6
and 12
c)
6, 12, 18, ___, ___
c)
___, 14, 21, 28, 35, ___
d)
4, 8, ___, ___, ___, 24
e)
14, 11, 8, ___, ___
The numbers go down by3,
so the missing numbers are
5 and 2
___, 18, ___, 36, 45
The numbers go up by 9, so
the missing numbers are 9
and 27
63, 60, 57, 54, 51, ___, 45,
___, 39, ___, ___
The numbers go down by 3,
so the missing numbers are
48, 42, 36, and 33
The numbers go up by 4, so
the missing numbers are
12, 16, and 20
f)
63, 54, 45, ___, ___, 18
The numbers go down by 9,
so the missing numbers are
36 and 27
The numbers go up by 7, so
the missing numbers are 7
and 42
e)
40, 32, ___, ___, 8
The numbers go down by 8,
so the missing numbers are
24 and 16
The numbers go up by 6, so
the missing numbers are 24
and 30
d)
25, 20, ___, ___, 5, ___
3)
Fill in the missing numbers
a)
2 × 6 = 4 × ___
2 x 6 = 12
4 x 3 = 12
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Chapter 1: Number: Solutions
b)
5 × 4 = 2 × ___
5 x 4 = 20
2 x 10 = 20
Exercise 4: Number Patterns
1, 2, 3, 6
b)
12
1, 2, 3, 4, 6, 12
c)
6 × 6 = 9 × ___
6 x 6 = 36
9 x 4 = 36
d)
4 × 4 = 8 × ___
c)
1, 4, 16
d)
4 x 4 = 16
8 x 2 = 16
e)
f)
7 × 6 = 6 × ___
3 × 13 = 13 × ___
3 x 13 = 39
13 x 3 = 39
4)
25
1, 5, 25
f)
7
1, 7
g)
11
1, 11
For the given number, list all the
numbers that divide into it
Example: 20
1, 2, 4, 5, 10, 20
a)
5)
20
1, 2, 4, 5, 10, 20
e)
7 x 6 = 42
6 x 7 = 42
16
6
h)
What is special about the
last two numbers?
Only one and itself divide
into the number
Jane wants to share her lollies by giving 6 people 5 lollies each. One of the people
doesn’t want any. How can Jane share her lollies so everyone else gets the same
amount?
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Chapter 1: Number: Solutions
Exercise 4: Number Patterns
Jane must have 6 x 5 = 30 lollies. To share them among 5 people, each person must
get 6 lollies (30 ÷5 = 6)
6)
Tom walked 4 km per day for 6 days in a row. If Alan walks for 8 days, how many km
per day should he walk to go the same total distance that Tom did?
Tom walked 4 x 6 = 24 km
Alan walks for 24 ÷ 8 = 3 km per day
7)
Peter notices a pattern of fish in a row of fish tanks at the pet store. The first tank
had 3 large fish in it. The second tank had 6 medium sized fish. The next tank had 9
smaller fish. There were 7 tanks in the row and the pattern continued to the last
one.
a)
How many fish were in the last tank?
The pattern is 3, 6, 9, ___, ___, ___, ___
The missing numbers are 12, 15, 18, and 21
b)
How many fish in the whole row?
If you add the numbers together you get 84 fish
8)
Graham makes a puzzle for his friends. In a crate he places 84 buttons; in the next
one he places 77, then 70 in the next. If he continues this pattern:
a)
How many buttons will be in the next crate?
The number of buttons decreases by 7 in each crate; so in the next crate
there will be 63 buttons
b)
How many buttons will be in the last crate?
The pattern continues until the last crate has 7 buttons
84, 77, 70, 63, 56, 49, 42, 35, 28, 21, 14, 7
c)
How many crates will he use?
There are 12 crates with buttons in them
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Exercise 5
Fractions
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Chapter 1: Number: Solutions
1)
One half
Write the following as a fraction
a)
b)
c)
d)
e)
f)
2)
Exercise 5: Fractions
c)
One half
1
2
d)
e)
One eighth
଼
ଷ
଼
Three eighths
3)
Three quarters
Put these fractions in order from
smallest to largest
3
4
3 2 4 1
, , ,
4 4 4 4
Five eighths
5
8
4)
Two quarters
ଵ
ସ
One quarter
ଵ
ଶ
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1 2 3 4
, , ,
4 4 4 4
Put these fractions in order from
largest to smallest
5 1 7 2 6
, , , ,
8 8 8 8 8
Write the following in words
b)
ଵ
One eighth
1
4
2
4
a)
ସ
Three quarters
One quarter
1
8
ଷ
5)
7 6 5 2 1
, , , ,
8 8 8 8 8
Fill in the missing numbers
1 2 3 4
, , , , ___, ___
2 2 2 2
5 6
,
2 2
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Chapter 1: Number: Solutions
Exercise 5: Fractions
6)
Fill in the missing numbers
7)
1 2
4
, , ___, , ___, ___
8 8
8
3 5 6
, ,
8 8 8
What fraction is shaded in the following diagrams?
a)
One quarter,
b)
ଵ
ସ
One half, ½
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Chapter 1: Number: Solutions
Exercise 5: Fractions
c)
One whole (1)
d)
Three quarters,
8)
ସ
ଵ ଵ ଷ ହ ଷ
Place the fractions ,
, , on the number line
ଶ ସ ସ ଼ ଼
0
9)
ଷ
ଵ
ସ
ଷ
଼
ଵ
ଶ
ହ
଼
ଷ
ସ
1
Tim has one quarter of his lollies left, while Jack has eaten three quarters. Who has
more lollies left?
They have the same amount left. If Jack has eaten three quarters, he also has one
quarter left
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Exercise 6
Chance
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Chapter 1: Number: Solutions
1)
Exercise 6: Chance
c)
Alan tosses a coin. What might the
coin show when it lands?
Heads or tails
2)
Peter rolls a dice. List all the
numbers that he could get
Which colour shirt will he
probably NOT pull out?
Blue
6)
There are 20 red, 5 blue and 1
green lollies in a jar. If Jack closes
his eyes and chooses one:
1, 2, 3, 4, 5, 6
3)
a)
John has one of every coin in a
bag. If he picks one without
looking, list what coin he might
pull out?
Red
b)
5 cents, 10 cents, 20 cents, 50
cents, 1 dollar, 2 dollars
4)
What colour lolly would he
be lucky to get?
Green
Veronica has 9 tiles in a bag. Each
tile has a different counting
number written on it. List what
tile she might pull out of the bag
c)
d)
There are 6 red shirts, 1 blue shirt
and 15 yellow shirts in a draw. If a
boy pulls a shirt out without
looking:
a)
List what colour shirt he
might pull out
Red, blue or yellow
b)
Which colour shirt will he
probably pull out?
Yellow
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Is he more likely to get a
green lolly or a yellow lolly?
Green, since there are no
yellow lollies
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
5)
What colour lolly will he
probably choose?
Name a lolly colour that it
would be impossible to get
Yellow or any colour that is
not in the bag
7)
In a jar there are 20 blue buttons.
In another jar there are 10 blue
and 10 yellow buttons.
a)
From which jar would Colin
be certain of picking a blue
button with his eyes
closed?
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Chapter 1: Number: Solutions
The first jar has only blue
b)
From which jar would be
maybe get a yellow
button?
Exercise 6: Chance
b)
Certain
c)
The second jar has some
yellow
c)
From which jar would he
definitely NOT get a yellow
button?
8)
d)
a)
e)
The same chance since
there are equal numbers of
them
f)
The sun will rise tomorrow
You will get every maths
question right
Could happen, but not very
likely
Has he got more chance of
picking a blue or yellow
button from the second
jar?
Of the following events, which are
certain to happen, impossible, or
could happen?
You will go to school
Could happen (not on
weekends or holidays)
The first jar has no yellow
d)
You will eat food
You will turn 45 years old
tomorrow
Impossible
Everyone in your class will
win a million dollars
tomorrow
Impossible
g)
You will ride a bicycle
Could happen
Certain
9)
Tom rolls a normal 6 sided dice. Which number is he most likely to roll?
Any of the numbers from 1 to 6 could come up
10)
Alan tosses a coin; is it more likely to land on a head or a tail?
The coin is equally likely to land on a head or a tail.
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Chapter 1: Number: Solutions
Exercise 6: Chance
11)
Peter spins a spinner with 3 red and 3 white faces. Which colour is he more likely
to spin?
A red or white is equally likely since there are an equal number of faces
12)
Peter spins a spinner with 1 red and 5 white faces. Which colour is he most likely to
spin?
There are more white faces; therefore he has more chance of spinning white
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