Platinum Instamaths Grade 5
Sample pages
We have provided sample activities and answers from Platinum Instamaths Grade 5 in this
document. Please note that it is not the complete title.
About Instamaths
The Instamaths series was developed to provide learners with exercises that promote and
consolidate core Mathematics skills. The workbook is CAPS-aligned and follows the
curriculum week by week. The exercises are progressive and the level is appropriate to
allow learners to practise and revise easily.
This user-friendly series is both a resource for teachers who want their learners to have a
clear and confident understanding of Mathematics, and a fun and easy way for learners to
practise and revise through self-study.
The Instamaths series is available in Afrikaans as Kitsreken.
It is also available as an eBook with interactive activities.
Browse and purchase eBooks at shop.pearson.co.za
Title information
Print ISBN
eBook ISBN
Platinum Instamaths Grade 5
9780636165007
9780636193918
Platinum Kitsreken Graad 5
9780636165113
9780636193970
CAPS
Simply superior!
The Instamaths series was developed to provide learners with
exercises that promote and consolidate core Mathematics skills.
This new version is CAPS aligned and follows the curriculum week
by week. The exercises are progressive and the level is appropriate
to allow learners to easily practise and revise.
Instamaths
FREE activities online!
There are also all new additional online activities to keep learners
motivated and interested and develop their skills further. This
user-friendly series is both a resource for teachers who want
their learners to have a clear and confident understanding of
Mathematics, and a fun and easy way for learners to practise
and revise through self-study.
Grade
5
The Instamaths series
is also available in
Afrikaans as Kitsreken.
http://schools.pearson.co.za
H. Barry • W. Colyn • J. Philander
9780636165007_ins_mat_g05_wb_eng_za_cvr.indd A4 V
2015/07/08 12:12 PM
Instamaths
Grade 5
Hilda Barry
• Wendy Colyn • John Philander
Contents
NUMBERS, OPERATIONS AND RELATIONSHIPS:
WHOLE NUMBERS
Exercise 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Page
Basic addition .......................................................
Addition and subtraction ......................................
Word problems .....................................................
Basic multiplication..............................................
Counting forwards and backwards .......................
Multiplication tables .............................................
Division ................................................................
Tabled multiplication and division .......................
Mixed problems....................................................
Properties of 0 and 1.............................................
Multiples...............................................................
Factors ..................................................................
Counting up to ten thousand.................................
Addition revision ..................................................
Subtraction revision ..............................................
Place value ............................................................
Expanded notation ................................................
Rounding off numbers ..........................................
Rounding off to hundreds .....................................
Rounding off to thousands ...................................
Doubling ...............................................................
Halving .................................................................
Relating x and ÷ ...................................................
Addition by rounding off ......................................
Addition by grouping ...........................................
Adding up to 100 and 1 000 .................................
Subtracting numbers .............................................
Subtracting from 100 and 1 000 ...........................
Addition and subtraction ......................................
Addition and subtraction patterns ........................
9780636165007_ins_mat_g05_wb_eng_za.indb 1
1
1
2
3
4
4
5
6
7
8
9
10
11
12
12
13
13
14
15
15
16
17
17
18
19
20
21
21
22
23
Term
1 and 2
1 and 2
1 and 2
1 and 2
1 and 2
1 and 2
1 and 2
1 and 2
1 and 2
1
1
1
1
1
1
2
2
1 and 2
2–4
2–4
1–4
1–4
1–4
1–4
1–4
1–4
1–4
1–4
2–4
2–4
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Page
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
Multiplication steps ..............................................
Multiplying by 50 .................................................
Multiplying by 25 .................................................
Multiplying bigger numbers .................................
Multiply by 10, 100 and 1 000 .............................
Dividing by 10, 100 and 1 000 .............................
Quick word problems ...........................................
Division tables ......................................................
Extending division tables .....................................
Division using patterns .........................................
Division problems ................................................
Multiplication and division ..................................
Ordering of operations .........................................
Ordering numbers .................................................
Money conversions ...............................................
Basic operations with money ...............................
Profit and loss .......................................................
Money problems ...................................................
Term
23
24
24
24
25
25
26
26
27
27
28
29
29
30
30
31
31
32
3 and 4
3 and 4
3 and 4
1–4
1–4
1–4
1–4
2–4
3 and 4
2–4
1–4
3 and 4
1–4
2–4
1–4
1–4
1–4
1–4
NUMBERS OPERATIONS AND RELATIONSHIPS:
FRACTIONS
49 Comparing one-part fractions............................... 33
50 Describing fractions of 2-D shapes ...................... 34
51 Naming fractions .................................................. 35
52 Counting in fractions ............................................ 36
53 Using one-part fractions for division.................... 37
54 Equivalent fractions: halves, quarters and eighths 38
2
2
2
2 and 3
2
2 and 3
PULL-OUT ANSWER SECTION
55 Equivalent fractions: halves, fifths and tenths ......
56 Equivalent fractions : twelfths family ..................
57 One-part fractions of real things...........................
58 Solving fraction problems ....................................
59 Adding and subtracting fractions .........................
60 Mixed numbers .....................................................
61 Adding and subtracting mixed numbers...............
62 More fraction sharing ...........................................
63 More fraction problems ........................................
2–4
3 and 4
3
3
3 and 4
3 and 4
4
4
4
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40
41
42
42
43
43
44
44
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Page
Term
PATTERNS, FUNCTIONS AND ALGEBRA
64 Numeric patterns ..................................................
65 Number sentences ................................................
66 Input and output values: flow diagrams ...............
67 Input and output values: tables .............................
68 Different ways to record output............................
69 Geometric patterns ...............................................
45
46
47
48
49
50
1 and 3
2–4
1–4
1–4
2–4
4
SPACE AND SHAPE
70 Naming and comparing 2-D shapes .....................
71 Properties of 2-D shapes ......................................
72 Properties of 3-D objects ......................................
73 Comparing 3-D objects and their nets ..................
74 Transformations....................................................
75 Position and movement ........................................
51
53
54
55
56
57
2
1
2 and 4
2 and 4
3 and 4
4
MEASUREMENT
76 Twenty-four hour time..........................................
77 Converting time ....................................................
78 Length in mm, cm and m .....................................
79 Writing and estimating temperature .....................
80 Reading temperature ............................................
81 Working with temperature ....................................
82 Mass: reading scales .............................................
83 Mass conversions and problems ...........................
84 Capacity and volume of liquids ............................
85 Capacity and volume: conversions and problems
86 Perimeter and area ................................................
87 Area and tiling ......................................................
88 Volume..................................................................
58
59
60
61
63
64
65
66
67
68
69
70
71
1
1
2
3
3
3
3
3
1
3
4
4
4
DATA HANDLING
89 Tally records and pictograph ................................
90 Finding the mode ..................................................
91 Double bar graph ..................................................
92 Working with a pie chart ......................................
93 Probability ............................................................
73
74
75
77
78
1
1
3
3 and 4
4
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Welcome to Instamaths!
W
Platinum Instamaths is a carefully graded book of Mathematics exercises
designed to promote mathematical practice and understanding in a fun and
easy way. It is a structured way for learners to practise and consolidate their
Mathematics skills as they fill in their answers in the spaces provided in the book.
Teachers will find that these exercises also help their learners gain a clear and
confident understanding of the mathematical concepts underlying everyday skills.
A complete set of answers is provided in the centre of the book so that Platinum
Instamaths can be used by learners for self-study.
The purpose of this book is to develop:
•
•
•
•
number sense and number concepts
fraction concepts
logical reasoning through patterns
geometric thinking
• confident and rapid basic operations
• measurement concepts
• data handling and probability concepts.
Learners can mark each exercise and keep track of their marks on the inside back
cover of this book.
This new edition of Instamaths has been updated to align with the South African
Curriculum and Assessment Policy Statement (CAPS). The material covers all the
required Mathematics concepts and skills, ensuring that the level is appropriate and
that adequate progression occurs.
Free online exercises
Free extra self-marking exercises are available online. Some of the exercises are
designed to help learners who are struggling and others are designed to challenge
learners who need extension. The colour tabs
Revise
and
that
Challenge
you will see throughout this book indicate which exercises have extra online
revision and challenge exercises. You will find these exercises at
www.platinuminstamaths.co.za.
iv
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35
Multiplying by 10, 100 and 1000
1. Write the answers:
a) 9 × 10 = ..................
c) 46 × 10 = ..................
e) 89 × 10 = ..................
g) 7 × 100 = ..................
i) 25 × 100 = ..................
k) 123 × 100 = ..................
m) 2 × 1 000 = ..................
o) 13 × 1 000 = ..................
q) 38 × 1 000 = ..................
s) 104 × 1 000 = ..................
36
b)
d)
f)
h)
j)
l)
n)
p)
r)
t)
12 × 10 = ..................
39 × 10 = ..................
75 × 10 = ..................
16 × 100 = ..................
78 × 100 = ..................
100 × 100 = ..................
7 × 1 000 = ..................
19 × 1 000 = ..................
65 × 1 000 = ..................
1 000 × 1 000 = ..................
Dividing by 10, 100 and 1 000
1. Fill in the answers:
a) 40 ÷ 10 = ..................
c) 100 ÷ 10 = ..................
e) 400 ÷ 10 = ..................
g) 800 ÷ 100 = ..................
i) 1 300 ÷ 100 = ..................
k) 4 000 ÷ 100 = ..................
m) 7 300 ÷ 100 = ..................
o) 2 800 ÷ 100 = ..................
q) 5 000 ÷ 1 000 = ..................
s) 9 000 ÷ 1 000 = ..................
u) 4 500 ÷ 100 = ..................
w) 20 000 ÷ 1 000 = ..................
y) 3 900 ÷ 100 = ..................
b)
d)
f)
h)
j)
l)
n)
p)
r)
t)
v)
x)
z)
70 ÷ 10 = ..................
340 ÷ 10 = ..................
680 ÷ 10 = ..................
200 ÷ 100 = ..................
2 700 ÷ 100 = ..................
5 500 ÷ 100 = ..................
9 000 ÷ 100 = ..................
4 000 ÷ 1 000 = ..................
7 000 ÷ 1 000 = ..................
10 000 ÷ 1 000 = ..................
7 500 ÷ 100 = ..................
40 000 ÷ 1 000 = ..................
8 200 ÷ 100 = ..................
NUMBERS, OPERATIONS AND RELATIONSHIPS – WHOLE NUMBERS
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37
Quick word problems
Challenge
1. Fill in the answers:
a)
What must 25 be multiplied by to give 175? ..................
b)
How many 40s are there in 400? ..................
c)
What is the product of 23 and 5? ..................
d)
What number is 16 greater than 1 050? ..................
e) What number is 8 less than 2 003? ..................
f) A gardener plants beans in 9 rows. There are 12 holes in every row, with
4 beans in each hole. She has planted .................. beans altogether.
g) There are 26 eggs in a tray. Twelve trays hold .................. eggs.
h)
A factory packs 200 pencils in each box. There are .................. pencils in
9 boxes.
i) There are 6 teams. Each team has 20 players. How many team blazers
are needed? ..................
j) 46 learners bring 50c each to buy sugar for making sweets. How much
money did they bring altogether? ..................
38
Division tables
1. Write the answers:
26
a)
18 ÷ 9 = ..................
b)
c)
12 ÷ 4 = ..................
d) 24 ÷ 4 = ..................
20 ÷ 5 = ..................
e) 42 ÷ 7 = ..................
f)
36 ÷ 9 = ..................
g) 24 ÷ 8 = ..................
h)
48 ÷ 8 = ..................
i) 72 ÷ 9 = ..................
j)
63 ÷ 7 = ..................
k) 70 ÷ 7 = ..................
l)
120 ÷ 6 = ..................
m) 150 ÷ 5 = ..................
n)
240 ÷ 4 = ..................
o) 420 ÷ 7 = ..................
p)
360 ÷ 9 = ..................
q) 240 ÷ 8 = ..................
r)
480 ÷ 8 = ..................
s) 180 ÷ 9 = ..................
t) 200 ÷ 5 = ..................
NUMBERS, OPERATIONS AND RELATIONSHIPS – WHOLE NUMBERS
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Basic operations with money
46
1. Fill in the answers:
a)
R59,00 + R8,00 = ..................
b)
R45,00 + R9,00 = ..................
c)
R5,50 + R4,60 = ..................
d)
R20,70 + R2,40 = ..................
e) R3,00 − 45c = ..................
f) R10,00 − 95c = ..................
g) R4,50 − 60c = ..................
h)
R12,50 + R1,30 = ..................
i) R30 − R2,50 = ..................
j)
R100 − R3,50 = ..................
k) 45c × 4 = ..................
l)
R2,25 × 4 = ..................
m) R3,50 × 4 = ..................
n)
R2,35 × 4 = ..................
o) 84c ÷ 4 = ..................
p) 56c ÷ 4 = ..................
q) R3,50 ÷ 7 = ..................
r)
s) 20c × 9 = ..................
t) R40,00 ÷ 8 = ..................
R3,30 ÷ 6 = ..................
Profit and loss
47
1. Shopkeepers make a loss when they sell items for less than they paid for
them. Complete the table below. Write the answers in the correct column:
Item
Cost Price
Selling Price
Profit
Loss
Notebook
R4,75
R6,00
a)
b)
Pen set
R12,47
R8,00
c)
d)
Lunch box
R7,86
R13,00
e)
f)
Glue
R3,59
R8,00
g)
h)
Scissors
R25,18
R21,00
i)
j)
CD
R70,50
R99,50
k)
l)
Crayons
R35,32
R19,00
m)
n)
Ball
R18,79
R30,00
o)
p)
Ruler
R16,40
R13,00
q)
r)
Diary
R13,45
R18,50
s)
t)
NUMBERS, OPERATIONS AND RELATIONSHIPS – WHOLE NUMBERS
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48
Money problems
1. Write a number sentence for each of the word problems below. Then
write the answer:
a)
Nodumo buys two litres of milk, which costs R6,65. If she pays with a
R10 note, how much change must she get?
Number sentence: .................................................................. Answer: ............
b)
Silo buys cricket gloves worth R135,50. He pays with a R200 note. How
much change must he get?
Number sentence: .................................................................. Answer: ............
c)
A loaf of bread costs R4,50. Nkosi buys one loaf and gives the cashier
R5. How much change must he get?
Number sentence: .................................................................. Answer: ............
d)
A pencil-and-pen set costs R11,25. How much change must Sandy get if
she pays with a R20 note?
Number sentence: .................................................................. Answer: ............
e) Skye buys fruit for R29,75. She pays with R50,00. How much change
should she get?
Number sentence: .................................................................. Answer: ............
f) Samson buys a pair of jeans and a T-shirt for R180. The T-shirt cost R69.
How much did he pay for the pair of jeans?
Number sentence: .................................................................. Answer: ............
e) Lillian and two friends put their savings together to buy beads to make
necklaces. Lillian saved R120. The total of their savings is R370.
Lillian’s two friends each saved the same amount. What amount did each
friend save?
Number sentence: .................................................................. Answer: ............
32
NUMBERS, OPERATIONS AND RELATIONSHIPS – WHOLE NUMBERS
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51
Naming fractions
Revise
1. Complete the table to show what fraction of each pizza was eaten and
what fraction was left.
Picture of a pizza
Fraction eaten
Fraction not eaten
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
NUMBERS, OPERATIONS AND RELATIONSHIPS – FRACTIONS
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52
Counting in fractions
Revise
1. What fractions are shown by each of these number lines?
Example: The number line below is marked in halves.
0
a)
1
3
The number line below is marked in ..................................................................
0
b)
2
1
2
3
The number line below is marked in ..................................................................
0
1
2
3
2. Complete these counting patterns. Use the number lines to help you.
a)
_1 ; 1 ; 1_1 ; ........................ ; ........................
b)
1_13 ; 1_23 ; 2 ; ........................ ; ........................
c)
3
5
1
__
; __
; __
; ........................ ; ........................
d)
8
6
3 ; 2__
; 2__
; ........................ ; ........................
10
10
2
10
2
10
10
e) 4_12 ; 4 ; 3_12 ; ........................ ; ........................
8
4
2
f) 1__
; 1__
; 2__
; ........................ ; ........................
10
10
10
36
NUMBERS, OPERATIONS AND RELATIONSHIPS – FRACTIONS
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65
Number sentences
1. Complete each number sentence. For each calculation, give a reason
why it is easy.
a)
b)
245 + 8 − 8 = .................
............................................
c)
............................................
3 483 + 9 − 9 = .................
d) 796 − 96 = .................
............................................
e) 289 − 173 = .................
279 − ................. = 279
............................................
therefore
116 + 173 = .................
therefore
329 + 269 = .................
therefore
126 ÷ 7 = .................
............................................
f) 598 − 269 = .................
............................................
g) 18 × 7 = .................
............................................
h)
99 ÷ 11 × 11= .................
i)
............................................
j) 457 × 1 = .................
............................................
366 ÷ 6 × 6 = .................
............................................
k)
457 ÷ 1 = .................
............................................
2. Write a number sentence to match each word problem. Then write
the answer.
a)
Mandla has 9 soccer cards. He buys another 17 cards. How many cards
does he have altogether?
Number sentence: .................................................................. Answer: ............
b) Kobus took 12 sweets out of a packet of 18 sweets. How many sweets are left?
Number sentence: .................................................................. Answer: ............
c)
Marie played a card game 9 times. She won 15 matchsticks each time.
How many matchsticks does she have altogether?
Number sentence: .................................................................. Answer: ............
d)
How many times can you take 4 sweets out of a packet of 20 sweets until
there are none left?
Number sentence: .................................................................. Answer: ............
46
PATTERNS, FUNCTIONS AND ALGEBRA
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66
Input and output values: flow
diagrams
Revise
1. Use the given rule to find the output numbers of this machine:
Input
number
Output
number
18
a)
36
b)
48
c)
12
d)
18
Rule: ÷ 6
÷6
?
2. Look at the example and complete the two diagrams below:
Input
2
Output
+5
×2
14
Input
Output
3
a) ............
4
×5
+2
b) ............
5
c) ............
Input
Output
15
d) ............
12
÷3
30
+2
e) ............
f) ............
PATTERNS, FUNCTIONS AND ALGEBRA
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72
Properties of 3-D objects
Revise
1. Look carefully at each 3-D object. Fill in its properties as you work
across each row.
Shape
Number
of faces
Flat
and/or
curved
surfaces
Number
of
vertices
Shape of
faces
a)
b)
c)
d)
e)
a)
b)
c)
d)
e)
a)
b)
c)
d)
e)
a)
b)
c)
d)
e)
a)
b)
c)
d)
e)
a)
b)
c)
d)
e)
Name
1.
2.
3.
4.
5.
6.
54
SPACE AND SHAPE
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Length in mm, cm and m
78
A
0 mm
B
10
C
D
Revise
E
20
30
40
1. Fill in the measurement at each letter:
Example: 48 mm = 4 cm 8 mm
a)
Reading at A: ............ mm = ............ cm 6 mm
b)
Reading at B: ............ mm = ............ cm 0 mm
c)
Reading at C: ............ mm = ............ cm 8 mm
d)
Reading at D: ............ mm = ............ cm 5 mm
e) Reading at E: ............ mm = ............ cm 3 mm
2. This is a tape marked in millimetres. Fill in the measurement at
each letter:
F
mm 10
70
G
80
90
H
I
J
100
110
120
a)
Reading at F: ............ mm = 7 cm ............ mm
b)
Reading at G: ............ mm = ............ cm 1 mm
c)
Reading at H: ............ mm = ............ cm 0 mm
d)
Reading at I: ............ mm = 11 cm ............ mm
e) Reading at J: ............ mm = 11 cm ............ mm
Continued on the next page →
60
MEASUREMENT
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Answers
NUMBERS, OPERATIONS AND
RELATIONSHIPS – WHOLE NUMBERS
1
2
3
4
Basic addition
1. a) 12
b)
d) 14
e)
g) 18
h)
j) 31
k)
m) 27
n)
p) 22
q)
s) 31
t)
2. a) 8
b)
d) 13
e)
g) 8
h)
j) 21
k)
m) 34
n)
p) 10
q)
s) 44
t)
14
16
25
32
30
23
22
5
6
4
20
31
25
35
c)
f)
i)
l)
o)
r)
page 1
17
21
25
27
15
28
c)
f)
i)
l)
o)
r)
7
12
28
92
22
26
6
Addition and subtraction page 1
1. a) 25
b) 26
c) 27
d) 57
e) 19
f) 35
g) 12
h) 40
i) 130
j) 35
k) 7
l) 12
m) 10
n) 33
o) 104
p) 50
q) 30
r) 130
s) 22
t) 78
Word problems
1. a) 9 + 4 + 6 b)
c) 19 + 7 + 6 d)
e) 68 − 7
f)
g) 8 + 9 + 18 h)
i) 88 − 17
j)
5
page 2
19
32
61
35
71
Basic multiplication
1. a) 33
b) 56
d) 48
e) 63
g) 36
h) 36
j) 48
k) 108
m) 24
n) 240
p) 240
q) 28
s) 40
t) 400
c)
f)
i)
l)
o)
r)
page 3
36
24
21
144
18
270
7
2. a) 15
b) 36
c) 30
d) 63
e) 56
f) 63
g) 24
h) 72
i) 48
j) 18
k) 35
l) 24
m) 32
n) 99
o) 45
p) 60
q) 64
r) 70
s) 42
t) 108
Counting forwards and
backwards
page 4
1. a) 28
b) 15
c) 11
d) 50
e) 137
f) 58
g) 40
h) 295
i) 75; 61
j) 159; 169
2. a) 210
b) 325
c) 176
d) 700
e) 600
f) 700
g) 690
h) 450
i) 725
j) 390
Multiplication tables
page 4
1. a) 21
b) 48
c) 8
d) 24
e) 25
f) 64
g) 40
h) 80
i) 32
j) 12
k) 48
l) 64
m) 72
n) 160
o) 18
p) 0
q) 0
r) 36
s) 24
t) 32
Division
page 5
1. a) 12
b) 7
c) 4
d) 6
e) 8
f) 9
g) 4
h) 6
i) 9
j) 11
k) 8
l) 12
m) 8
n) 8
o) 6
p) 4
q) 9
r) 8
s) 7
t) 12
u) 7
v) 10
2. a) 8
b) 11
c) 10
d) 13
e) 5
f) 3
g) 5
h) 7
i) 3
j) 4
k) 12
l) 6
m) 8
n) 11
o) 7
p) 4
q) 4
r) 9
s) 4
t) 8
u) 11
v) 7
Answers
9780636165007_ins_mat_g05_wb_eng_za.indb 1
2015/07/16 12:48 PM
8
9
Tabled multiplication and division
page 6
1. a) 27
b) 48
c) 63
d) 72
e) 75
f) 72
g) 63
h) 48
i) 27
j) 0
2. a) 7
b) 6
c) 10
d) 6
e) 4
f) 7
g) 7
h) 12
i) 6
j) 9
Mixed problems
1. a) 6 × 5
b)
c) 4 × 9
d)
e) 8 × 9
f)
g) 10 × 8
h)
i) 9 × 5
j)
k) 48 ÷ 6
l)
m) 60 ÷ 5
n)
o) 45 ÷ 9
p)
page 7
30
36
72
80
45
8
12
5
10 Properties of 0 and 1
page 8
1. a) 4
b) 13
c) 0
d) 5
e) 18
f) 2
g) 4
h) 13
i) 0
j) 0
k) 0
l) 0
2. a) add
b) subtract
c) multiply; divide
d) multiply
3. a) 0
b) 0
c) 1
d) 1
e) 0
f) 1
g) 0
h) 1
11 Multiples
1. a) 12; 20
c) 24; 54
e) 56; 24
g) 25; 50
i) 40; 16
2. a) 81; 45
c) 49; 70
e) 32; 28
g) 56; 42
i) 36; 48
page 9
b)
d)
f)
h)
j)
b)
d)
f)
h)
j)
18; 12
21; 35
36; 18
24; 30
24; 12
30; 45
56; 72
27; 54
12; 18
27; 30
12 Factors
1. a) 2; 8
d) 2; 6
g) 1; 23
j) 10; 6
2. a) 4; 7
d) 2; 22
g) 1; 7
j) 9; 6
b) 4; 8
e) 15; 3
h) 2; 17
page 10
c) 1; 9
f) 1; 17
i) 5; 10
b) 8; 7
e) 5; 3
h) 7; 2
c) 8; 4
f) 2; 6
i) 5; 10
13 Counting up to ten thousand
page 11
1. a) 10 000
b) 5 500
c) 7 850
d) 3 230
e) 9 900
f) 6 000
g) 6 600
h) 6 710
i) 6 920
j) 1 050
2. a) 4 120
b) 6 500
c) 2 580
d) 6 005
e) 7 704
f) 7 900
g) 3 400
h) 8 360
i) 4 009
14 Addition revision
1. a) 10
b) 17
d) 51
e) 53
g) 104
h) 84
j) 101
k) 64
m) 302
n) 502
p) 902
q) 603
s) 803
t) 903
c)
f)
i)
l)
o)
r)
page 12
27
94
101
91
501
705
15 Subtraction revision
page 12
1. a) 8
c) 19
e) 52
g) 94
i) 96
k) 395
m) 516
o) 448
q) 1 998
s) 7 996
b)
d)
f)
h)
j)
l)
n)
p)
r)
t)
14
25
38
198
294
495
647
1 997
2 999
6 997
Answers
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16 Place value
1. a) 100; 7
c) 50 000; 700
e) 80 000; 80
page 13
b) 4 000; 30
d) 400 000; 2
17 Expanded notation
page 13
1. a) 4 000 + 400 + 80 + 1
b) 6 000 + 7
c) 80 000 + 8 000 + 70 + 7
d) 500 000 + 8 000 + 500 + 30
e) 600 000 + 30 000 + 2 000 + 900 + 8
2. a) 4 535 b) 24 073 c) 80 304
d) 237 060 e) 503 006 f) 420 081
g) 100 093 h) 800 135 i) 909 009
18 Rounding off numbers
page 14
1. a) 45
b) 30
c) 75
d) 115
e) 235
f) 675
g) 3 560 h) 6 920 i) 10
j) 15
2. a) 30
b) 90
c) 130
d) 670
e) 730
f) 860
g) 900
h) 2 200 i) 2 550
j) 5 680 k) 12 740 l) 6 800
m) 56 990 n) 77 840 o) 44 900
p) 70 000 q) 10
r) 20
s) 212 490 t) 847 510
19 Rounding off to hundreds
1. a) 400
c) 600
e) 6 400
g) 6 000
i) 13 500
k) 46 300
m) 64 900
o) 87 300
q) 13 500
s) 434 800
b)
d)
f)
h)
j)
l)
n)
p)
r)
t)
page 15
800
600
3 800
11 000
33 800
67 000
80 000
58 900
246 900
401 000
20 Rounding off to thousands
page 15
1. a) 7 000
b) 3 000
c) 9 000
d) 45 000
e) 69 000
f) 15 000
g) 100 000 h) 113 000
i) 461 000
j) 892 000
21 Doubling
1. a) 12
b)
d) 40
e)
g) 52
h)
j) 144
k)
m) 1 280 n)
p) 2 400 q)
s) 2 600 t)
2. a) 300
b)
d) 38
e)
g) 600
h)
j) 6 620 k)
m) 20 000 n)
48
c)
24
f)
208
i)
152
l)
2 560 o)
1 920 r)
5 200
440
c)
500
f)
620
i)
6 622 l)
20 200
22 Halving
1. a) 14
d) 39
g) 100
j) 140
m) 300
p) 425
s) 7 000
20
c)
33
f)
120
i)
185
l)
1 000 o)
175
r)
20 000
b)
e)
h)
k)
n)
q)
t)
23 Relating × and ÷
1. a) 4
b) 9
d) 6
e) 6
g) 7
h) 7
j) 10
k) 8
m) 4
n) 7
p) 9
q) 4
s) 21
t) 21
2. a) 3
b) 8
d) 7
e) 9
g) 7
h) 3
j) 9
k) 7
m) 8
n) 8
p) 18
q) 7
s) 5
t) 5
c)
f)
i)
l)
o)
r)
c)
f)
i)
l)
o)
r)
page 16
20
96
36
608
600
7 680
34
560
6 600
8 000
page 17
25
47
165
40
1 250
6 500
page 17
5
8
10
8
8
9
7
8
6
7
6
63
24 Addition by rounding off page 18
1. a) 3
b) 4
c) 20
d) 7
e) 30
f) 25
g) 20
h) 11
i) 15
j) 22
2. a) 50 + 7 = 57 b) 60 + 10 = 70
c) 90 + 9 = 99 d) 100 + 10 = 110
Answers
9780636165007_ins_mat_g05_wb_eng_za.indb 3
2015/07/16 12:48 PM
e) 100 + 14 = 114
f) 120 + 14 = 134
g) 110 + 13 = 123
h) 70 + 16 = 86
i) 130 + 8 = 138
j) 80 + 12 = 92
25 Addition by grouping
page 19
1. a) 400 + 90 = 490
b) 700 + 70 = 770
c) 600 + 100 = 700
d) 400 + 110 = 510
e) 700 + 110 = 810
f) 400 + 130 = 530
g) 900 + 140 = 1 040
h) 1 000 + 120 = 1 120
i) 1 000 + 110 = 1 110
j) 1 000 + 50 = 1 050
k) 1 200 + 90 = 1 290
2. a) 11 000
b) 10 000
c) 11 000
d) 8 000
e) 10 000
f) 9 000
g) 15 000
h) 17 000
i) 13 000
j) 27 000
k) 61 000
l) 28 000
m) 61 000
n) 29 000
o) 34 000
p) 45 000
q) 17 000
r) 15 000
s) 26 000
t) 28 800
26 Adding up to 100 and 1 000
page 20
1. a) 50
b) 55
c) 65
d) 33
e) 45
f) 54
g) 17
h) 38
i) 47
j) 64
k) 26
l) 28
m) 19
n) 11
o) 21
p) 53
q) 1
r) 9
s) 81
t) 19
2. a) 600
b) 550
c) 200
d) 350
e) 400
f) 650
g) 500
h) 480
i) 300
j) 225
k) 475
l) 525
m) 675
n) 725
3. a) 1 000 − 350 = 650 ml
b) 1 000 − 650 = 350 ml
c) 1 000 − 525 = 475 ml
27 Subtracting numbers
1. a) 17
b) 49
c) 39
d) 28
e) 26
f) 53
g) 7
h) 28
i) 44
j) 23
k) 19
l) 56
m) 35
n) 16
o) 43
p) 55
q) 56
r) 69
s) 53
t) 51
page 21
28 Subtracting from 100 and 1 000
page 21
1. a) 90
b) 80
c) 60
d) 50
e) 30
f) 92
g) 72
h) 55
i) 63
j) 76
k) 800
l) 500
m) 300
n) 750
o) 250
p) 880
q) 650
r) 550
s) 360
t) 110
u) 890
v) 8 000 w) 5 000 x) 4 500
y) 3 500 z) 7 500
29 Addition and subtraction page 22
1. a) 53
b) 67
c) 65
d) 89
e) 56
f) 92
g) 99
h) 99
i) 480
j) 280
k) 700
l) 700
m) 955
n) 120
o) 1 350
p) 350
q) 2 000
r) 1 700
s) 6 000
t) 6 000
2. a) 27
b) 1
c) 16
d) 0
e) 120
f) 50
3. a) 50
b) 150
c) 146
d) 158
Answers
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30 Addition and subtraction patterns
page 23
1. a) 53
67
14
b) 232
352
120
c) 677
220
457
d) 906
786
120
e) 1 345
1 145
200
f) 3505
3 005
500
g) 10 025
9 800
225
31 Multiplication steps
1. a) 10
100
b) 18
180
c) 28
280
d) 30
300
e) 18
180
f) 35
350
g) 64
640
h) 36
360
i) 32
320
j) 45
450
k) 48
480
l) 42
420
m) 24
240
page 23
1 000
1 800
2 800
3 000
1 800
3 500
8
4
4
9
8
6
3
32 Multiplying by 50
1. a) 1 400
b) 2 300
c) 3 400
d) 16 000
e) 23 500
page 24
700
1 150
1 700
8 000
11 750
33 Multiplying by 25
1. a) 3 000
b) 4 400
c) 5 600
d) 12 000
e) 16 800
750
1 100
1 400
3 000
4 200
page 24
34 Multiplying bigger numbers
page 24
1. a) 300
90
390
b) 2 000
200
2 200
c) 2 100
350
2 450
d) 4 800
160
4 960
2. a) 5
b) 5
35 Multiplying by 10, 100 and 1 000
page 25
1. a) 90
b) 120
c) 460
d) 390
e) 890
f) 750
g) 700
h) 1 600
i) 2 500
j) 7 800
k) 12 300
l) 10 000
m) 2 000
n) 7 000
o) 13 000
p) 19 000
q) 38 000
r) 65 000
s) 104 000
t) 1 000 000
36 Dividing by 10, 100 and 1 000
page 25
1. a) 4
b) 7
c) 10
d) 34
e) 40
f) 68
g) 8
h) 2
i) 13
j) 27
k) 40
l) 55
m) 73
n) 90
o) 28
p) 4
q) 5
r) 7
s) 9
t) 10
u) 45
v) 75
w) 20
x) 40
y) 39
z) 82
37 Quick word problems
page 26
1. a) 7
b) 10
c) 115
d) 1 066
e) 1 995
f) 432
g) 312
h) 1 800
i) 120
j) 2 300c or R23,00
38 Division tables
1. a) 2
b)
d) 6
e)
g) 3
h)
j) 9
k)
m) 30
n)
p) 40
q)
s) 20
t)
4
6
6
10
60
30
40
page 26
c) 3
f) 4
i) 8
l) 20
o) 60
r) 60
39 Extending division tables page 27
1. a) 200
b) 600
c) 100
d) 500
e) 350
f) 900
Answers
9780636165007_ins_mat_g05_wb_eng_za.indb 5
2015/07/16 12:48 PM
g) 159
i) 350
k) 45
m) 19
o) 48
q) 200
s) 259
h)
j)
l)
n)
p)
r)
t)
k) 46
m) 135
o) 106
q) 28
s) 40
300
600
20
35
77
162
1 000
40 Division using patterns
1. a) 20
b) 2
c) 26
d) 50
e) 6
f) 52
g) 50
h) 5
i) 102
j) 50
k) 4
l) 104
m) 100
n) 7
o) 33
p) 80
q) 1
r) 81
2. a) 4
b) 4
page 27
41 Division problems
page 28
1. a) 63
b) 84
c) 35
d) 123
e) 1 824
f) 5 985
g) R11,00
h) R47,50
i) 65
j) 74
2. a) 240 + 360 = 600 loaves
l)
n)
p)
r)
t)
44 Ordering numbers
1. a) 5 394
b)
c) 45 687
d)
e) 301 101
2. a) 97 250
b)
c) 208 540 d)
e) 648 097
50
17
14
81
110
page 30
8 099
202 005
11 875
467 763
45 Money conversions
page 30
1. a) R1,50
b) R0,93
c) R4,58
d) R9,16
e) R22,37
f) R20,45
g) R35,09
h) R35,00
i) R50,00
j) R2,25
k) 4c
l) 18c
m) 605c
n) 1 457c
o) 5 610c
p) 8 008c
q) 10 000c
r) 50c
s) 9 999c
t) 889c
42 Multiplication and division
page 29
1. a) 24
b) 56
c) 7
d) 1
e) 3
f) 2
g) 7
h) 20 remainder 2
46 Basic operations with money
page 31
1. a) R67,00
b) R54,00
c) R10,10
d) R23,10
e) R2,55
f) R9,05
g) R3,90
h) R13,80
i) R27,50
j) R96,50
k) R1,80
l) R9,00
m) R14,00
n) R9,40
o) 21c
p) 14c
q) 50c
r) 55c
s) R1,80
t) R5,00
43 Ordering of operations
1. a) 6
b) 1
c) 20
d) 1
e) 42
f) 12
g) 54
h) 30
i) 40
j) 34
47 Profit and loss
page 31
1. a) R1,25
b) R0
c) R0
d) R4,47
e) R5,14
f) R0
g) R4,41
h) R0
i) R0
j) R4,18
b) 2 560 ÷ 2 = 1280 km
c) 45 × 2 = 90
d) 70 × 6 = 420
e) 50 ÷ 10 = 5
page 29
Answers
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2015/07/16 12:48 PM
k) R29,00
m) R0
o) R11,21
q) R0
s) R5,05
l)
n)
p)
r)
t)
R0
R16,32
R0
R3,40
R0
NUMBERS, OPERATIONS AND
RELATIONSHIPS − FRACTIONS
49 Comparing one-part fractions
page 33
1. a) one third
b) one quarter
c) one fifth
d) one sixth
e) one seventh f) one eighth
g) one ninth
h) one tenth
i) one eleventh j) one twelfth
1
b) __
10
c) _14
3. _19 ; _16 ; _15 ; _14 ; _13 ; _12
4. a) >
b) <
1
5. a) _1 and __
5
11
c) >
b) _13
50 Describing fractions of
2-D shapes
1. a) _25
b) _35
c) _46
d) _26
7
e) __
10
3
f) __
10
g) _12
h) _12
i) _23
j) _13
k) _34
l) _14
2. a) _23
b) _13
c) _14
4
d) __
10
3
f) __
10
g) _25
h) _16
51 Naming fractions
48 Money problems
page 32
1. a) R10,00 − R6,65 = R3,35
b) R200,00 − R135,50 = R64,50
c) R5,00 − R4,50 = 50c
d) R20,00 − R11,25 = R8,75
e) R50,00 − R29,75 = R20,25
f) R180,00 – R69,00 = R111,00
g) (R370 – R120) ÷ 2 = R125,00
2. a) _12
e) _45
page 35
1. a) _34
b) _14
c) _58
d) _38
e) _28
f) _68
g) _24
h) _24
i) _58
j) _38
52 Counting in fractions
page 36
1. a) thirds
b) tenths
2. a) 2
2_21
b) 2_13
2_23
7
c) __
10
9
__
4
d) 2__
10
2
2__
10
e) 3
2 _12
6
f) 2__
10
3
10
53 Using one-part fractions for
division
page 37
1. a) R10; R10
b) 8; _13 of 24 = 8
1
c) 6; __
of 66 = 6
11
page 34
d) 9; _14 of 36 = 9
2. a) _15 of 35 = 7
b) _15 of 60 = 12
c) _16 of 24 = 4
54 Equivalent fractions: halves,
quarters and eighths
page 38
1. a) 4
b) 2
c) 2
2. a) 2
b) 4
c) 8
3. a) 2
b) 6
c) 2
d) 2
e) 3
f) 4
Answers
9780636165007_ins_mat_g05_wb_eng_za.indb 7
2015/07/16 12:48 PM
4. a) two eighths
c) four eighths
5. _1
b) three quarters
d) five eighths
8
55 Equivalent fractions: halves,
fifths and tenths
page 39
1. a) 4
b) 8
c) 2
d) 1
e) 10
f) 5
2. a) <
b) <
c) =
d) >
e) =
f) >
6
3. a) __
10
8
b) __
10
c) 1
3
d) __
10
3
e) __
10
3
4. __
1
f) __
10
10
56 Equivalent fractions: twelfths
family
page 40
1. a) 3
b) 6
c) 2
d) 2
e) 4
2. a) 4
b) 9
c) 8
d) 2
e) 3
f) 6
g) 6
h) 4
i) 10
3. a) <
b) <
c) >
d) =
e) =
f) >
6 _
9 _
11 _
7
4. a) __
; 2 ; _3
b) __
; 2 ; __
; 4 ; __
c)
12 4 6
5 _
__
;1
12 3
12 3 12 6 12
57 One-part fractions
of real things
1. a) R40 ÷ 4
b) 28 ÷ 7
c) _1 of 10 = 2
d)
e)
f)
page 41
5
_1 of 35 = 7
5
_1 of 60 = 12
5
_1 of 24 = 4
6
58 Solving fraction problems
page 42
1. a) 9
b) _16
c) Sanette ate the larger share; they
ate _3 of the pizza
4
d) R20
e) _14
59 Adding and subtracting fractions
page 42
1. a) _46
b) _43
c) _56
7
d) __
12
e) _45
f) _79
g) _67
6
h) __
10
2. a) _26
b) _14
c) _17
1
d) __
12
e) _25
f) _29
1
g) __
10
7
h) __
11
60 Mixed numbers
page 43
1. a) 2_1
b) 3_34
2. a) 2_25
c) 1_35
b) 2_45
d) 1_1
3. a) 5
b) 6
c) 5
d) 8
2
5
e) 31
61 Adding and subtracting mixed
numbers
page 43
1. a) 3_23
c) 5
b) 2_23
4
d) 5__
e) 9
f) 5_56
g) 5_67
6
h) 9__
12
b) 2_2
10
2. a) 3_15
c) 2_15
4
e) 3_12
d) 3_27
f) 3_7
g) 3_1
3
h) 3__
10
6
8
Answers
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62 More fraction sharing
page 44
1. a) 4
b) 8
2. a) 1 000 ml b) 200 ml
c) 400 ml
d) 600 ml
e) 800 ml
63 More fraction problems
1. _310
2.
_7
3. 2_25 m
4.
4_15 km
page 44
8
5. 14
4 __
4
6. a) __
; 4 ; __
15 13 11
b) biggest denominator gives
smallest slice
PATTERNS, FUNCTIONS AND
ALGEBRA
64 Numeric patterns
1. a) 24; 29
b) 43; 36
c) 6 000; 3 000
page 45
d) 2_34 ; 3
4
e) 6__
; 7_1
10 2
f) 18_34 ; 19
g) 125; 100
2. a) 15; 17
add 2 each time
b) 56; 48
subtract 8 each time
c) 125; 129
add 4 each time
d) 26; 37
add consecutive odd numbers
e) 110; 121
add 11 each time
65 Number sentences
1. a) 245
b) 0
c) 3 483
d) 700
e) 116
289
f) 329
598
g) 126
18
h) 99
i) 366
j) 457
k) 457
page 46
2. a) 9 + 17 = 26 cards
b) 18 − 12 = 6 sweets
c) 15 × 9 = 135 matchsticks
d) 20 ÷ 4 = 5 packets of sweets
66 Input and output values: flow
diagrams
page 47
1. a) 3
b) 6
c) 8
d) 2
2. a) 17
b) 22
c) 27
d) 7
e) 6
f) 12
67 Input and output values: tables
page 48
1. a) R16
b) R24
c) R32
d) 7 ℓ
e) 20 ℓ
2. a) 13 kg
b) 19_12 kg
c) 26 kg
d) 32_12
e) 65 kg
3. a) 20 km b) 50 km c) 100 km
d) 200 km e) 50 ℓ
f) 80 ℓ
g) 400 km
68 Different ways to record outputs
page 49
1. a) R10
b) R13
c) R16
d) R19
e) R22
f) R34
2. a) 6 8 10 12 14 16
b) 9 24 39 54 69
69 Geometric patterns
1. a) 6
b) 11
d) 21;
e) add 5 each time
2. a) 8
b) 10
d) add 2 each time
e)
f) 14
page 50
c) 16
c) 12
g) 16
Answers
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2015/07/16 12:48 PM
SPACE AND SHAPE
70 Naming and comparing
2-D shapes
page 51
1. a) square
b) rectangle
c) triangle
d) pentagon
e) octagon
f) hexagon
2. a) 4
b) 4
c) 4
d) 4
e) 4
f) 0
g) B
h) A
i) A
j) square has 4 equal sides,
rectangle has 2 pairs of equal
sides; square has four right
angles, diamond has no right
angles
71 Properties of 2-D shapes
page 53
1. a) 7
c) no
2. a) 3
c) no
3. a) 0
c) no
4. a) 4
c) no
5. a) 5
c) no
6. a) 6
c) no
7. a) 8
c) no
b)
d)
b)
d)
b)
d)
b)
d)
b)
d)
b)
d)
b)
d)
yes
7
yes
3
no
0
yes
4
yes
5
yes
6
yes
8
72 Properties of 3-D objects page 54
1. a) cone
b) 1
c) flat; curved d) 1
e) circular
2. a) cylinder b) 3
c) flat; curved d) 0
e) circular
3. a) pyramid b) 5
c) flat
d) 5
e) triangular; square
4. a) cube
b) 6
c) flat
d) 8
e) square
5. a) rectangular prism
b) 6
c) flat
d) 8
e) rectangular
6. a) triangular prism
b) 5
c) flat
d) 6
e) triangular; rectangular
73 Comparing 3-D objects and their
nets
page 55
1. a) cube
b) rectangular prism
c) rectangular prism
d) 6
e) 6
f) 6
g) 12
h) 12
i) 12
j) 8
k) 8
l) 8
2. a) cube
b) square
c) rectangular
d) square
e) rectangular
f) rectangular
g) rectangular
74 Transformations
page 56
1. a) translation
b) translation
c) reflection
d) reflection or rotation
e) reflection
2. a) flip, lines of symmetry
b) slide, lines of symmetry
75 Position and movement page 57
1. a) B2
b) sick people
c) A4
d) Simple Street, Lifton Street,
Olive Street
e) Ted
f) North East
g) East
Answers
9780636165007_ins_mat_g05_wb_eng_za.indb 10
2015/07/16 12:48 PM
h) turn left in Peak Street, right
into Main Street, second left
into Olive Street, take first right
into Lifton Street; or any other
reasonable answer
MEASUREMENT
76 Twenty-four hour time
page 58
1. a) 25 minutes and 15 seconds past 6
b) 15 minutes and 10 seconds to 3
c) 10 minutes and 40 seconds past 10
77 Converting time
page 59
1. a) 120 seconds
b) 300 seconds
c) 600 seconds
d) 720 seconds
e) 1 200 seconds
f) 6 000 seconds
2. a) 2 minutes b) 3 minutes
c) 5 minutes d) 1_12 minutes
e) 2_12 minutes
3. a) 49 days
b)
c) 4 hours
d)
e) 3 minutes f)
g) 50 years h)
i) 70 years
3 days
90 minutes
720 seconds
15 decades
j) 10 decades
78 Length in mm, cm and m page 60
1. a) 6 mm = 0 cm 6 mm
b) 10 mm = 1 cm 0 mm
c) 18 mm = 1 cm 8 mm
d) 25 mm = 2 cm 5 mm
e) 33 mm = 3 cm 3 mm
2. a) 75 mm = 7cm 5 mm
b) 81 mm = 8 cm 1 mm
c) 100 mm = 10 cm 0 mm
d) 110 mm = 11cm 0 mm
e) 118 mm = 11cm 8 mm
3. a) 10 m
b) 20 m
c) 120 m
d) 270 m
e) 560 m
4. a) 700 m
b) 900 m
d) 1 400 m e) 4 700 m
f) 8 100 m
79 Writing and estimating
temperature
page 61
1. Celsius
2. a) 100 °C
b) 0 °C
c) It turns to ice.
d) −7 °C
3. a) 37 °C b) 220 °C c) −5 °C
4. a) 40 °C
b) 57 °C
c) wooden pencil
80 Reading temperature
page 63
1. a) 45 °C
b) 39 °C
c) 32 °C
d) 24 °C
e) 15 °C
f) 7 °C
81 Working with temperature
page 64
3
1. 180 °C; 42 °C; 13__
°C;
2
°C;
–3 °C
10
2. 1_12 °C
3. a) Skukuza
b) Bloemfontein
4. a) 33 °C
b) 21 °C
c) 26 °C
d) 6 °C
e) Winter
f) 7 °C
82 Mass: reading scales
page 65
1. a) 1 900 g
b) 1 600 g
c) 800 g
d) 1 500 g
e) 1 100 g
f) 40 kg
2. a) 67 kg
b) 84 kg
c) 103 kg
d) 93 kg
83 Mass conversions and problems
page 66
1. a) 2 000 g
b) 10 000 g
c) 7 000 g
d) 100 000 g
e) 25 kg
f) 5,5 kg
g) 35,5 kg
h) 0,5 kg
i) 0,35 kg
j) 7,5 kg
2. a) 5 kg
d) 16
b) 6_21 kg
e) 6 kg
c) 6 _12 kg
Answers
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2015/07/16 12:49 PM