TOP

Maths NEW EDITION

Authors: Dr Evelyn Tan • Neo Seow Ling
Consultant: Katharine Edgar

4A
Workbook

0B TOP Maths WB 4A Prelims.indd 1 29/8/19 12:44 PM

 About the Authors
Dr Evelyn Tan has taught English Language, Mathematics and Science in primary schools
in Singapore for 20 years. As an educator, she specialises in teaching pupils from the upper
primary levels and has taught a wide spectrum of pupils from these levels. Dr Tan holds a
Bachelor’s Degree in Education (Hons) accredited by the Nanyang Technological University,
Singapore, and an Advanced Diploma in the Teaching of Primary Science from the National
Institute of Education, Singapore. She was also conferred a Doctoral Degree in Science
Education by Curtin University of Technology, Australia.

Neo Seow Ling has taught Mathematics for 11 years to primary school pupils in Singapore.
She has a vast amount of experience teaching pupils of different abilities ranging from higher
achievers to struggling learners. As an experienced Mathematics teacher, Seow Ling is well
versed in lesson planning and in formulating papers for internal examinations for the subject.
She holds a Bachelor’s degree in Mathematics from the National University of Singapore, and a
postgraduate diploma in primary education from the National Institute of Education, Singapore.

About the General Editor

Katharine Edgar has 19 years of experience teaching mathematics to
pupils across the whole ability range. Her vast experience in both the
teaching of the curriculum and assessment of pupils’ learning has led to
an in-depth knowledge of the misconceptions that can be present in pupils’
understanding of basic mathematical concepts. Katharine holds a degree in
pure mathematics and a PGCE in mathematics education, and held a senior
leadership post of assistant head teacher for many years.

Her expertise was recognised by an appointment in 2002 to the Qualifications

and Curriculum Authority (QCA), where she was entrusted to work on the
development of assessment for the English National Curriculum in both the
areas of mathematics and English. From 2002 to 2009, Katharine held various high profile roles
within the QCA, in both the Assessment and Curriculum divisions. This included being a director of
the National Assessment Agency, which is a subsidiary of QCA. As such, she is knowledgeable about
the various primary curriculum reviews that have taken place in England in recent years. Katharine
is a strong supporter of the Cambridge approach. She views the Cambridge Primary Programme as
a sound foundation on which to build secure mathematical knowledge and understanding.

Katharine is currently an independent education consultant working with schools specialising in

monitoring and quality assurance, and with the National Foundation for Educational Research
(NFER) in England in the assessment of mathematics and English.

ii

0B TOP Maths WB 4A Prelims.indd 2 29/8/19 12:44 PM

 Preface
The TOP Maths series covers comprehensively the learning objectives in the latest Cambridge Primary
Mathematics curriculum framework.

Concepts and key skills within each chapter are developed in a structured and step-by-step manner
following the popular Concrete Pictorial Abstract approach to help pupils gain a firm foundation in
mathematics. Well-crafted questions and activities are infused throughout the package to allow pupils to
reinforce concepts learnt and enable them to acquire key 21st century skills such as creativity, critical thinking
and problem-solving skills.

Hi! I’m Smarty.

These are my friends,
Min, Ari, Rita and Tom. Join us
as we embark on a fun-filled
journey through the exciting world
of mathematics!

Smarty

Min Ari Rita Tom

iii

0B TOP Maths WB 4A Prelims.indd 3 29/8/19 12:44 PM

 How to Use the Book
Each chapter in this Workbook is packed with interesting features.
Let us look at these features and how they can help you in your learning journey.

Worksheets
Consist of gradated and differentiated
exercises and activities to allow pupils of
different ability levels to reinforce learning
Name:
Class: Date:
(d)
r
Chapte
1 Nu m
ber
s to 10 0 0 0
(e)
Worksheet 1 Numbers to 10 000 Refer to Textbook page
5

1. How many are there?

(a)

(f)

(b)

(g)

(c)

Stag e 4
2 TOP Mat hs 28/7/15 8:40
PM

Numb ers to 10 000

• Works heet 1 1
01 TOP MathsWB S4AC1.ind 2
d 1 B S4AC1.indd
01 TOP MathsW

*4. (a) What is the sma

28/7/15 8:40 PM
llest four-digit number that
Name: Class: Date: digits? has 6 as one of its

(b) What is the smallest

Putting It Together 1 digit 0?
four-digit number that does
not have the

(c) What is the largest

Further Practice four-digit number in whic
repeated? h no digit is

5. Arrange these numbers

Putting It Together 1 1. Fill in the boxes below with > or <. in order. Begin with the
smallest.
(a) 1803 3482 (b) 2317 2713 8631, 8316, 8361, 8136
Comprises questions
(c) 5050 5005 (d) 6787 6784 , ,
that consolidate and test smallest ,

(e) 7253 7801 (f) 8190 8167 6. Tom, Min, Rita and Ari each
concepts and skills learnt The number of views of
uploaded a video clip to
each video clip is show
the Internet.
n below.
in the earlier worksheets 2. Circle the smallest number in each set. Tom
Rita
(a) 3045, 3288, 2483, 4074

(b) 5376, 5729, 5781, 5352 Min

5342 Ari
5243
(c) 8439, 8431, 8499, 8480

3. Circle the greatest number in each set. 5423

Key: (a) 1338, 2081, 1485, 2183
5432

(a) Who received the grea

* - Used to indicate (b) Arrange the number
test
number of views?
(b) 4034, 4142, 4043, 4124 of views in order. Begin
questions for higher
,
with the
, ,
greatest.

greatest
ability pupils (c) 7205, 7248, 7402, 7219

More about Numb

ers • Puttin g It Togeth
28
er 1 29
TOP Maths Stage 4

The questions, example answers, marks awarded and/or comments that appear in this book were written by the author(s).
In examination, the way marks would be awarded to answers like these may be different.
iv

0B TOP Maths WB 4A Prelims.indd 4 29/8/19 12:44 PM

 My thoughts
Putting It Together 2 Provides journal writing activities that
Comprises three sections — Problem-Solving, encourage reflection of mathematical thinking
My thoughts and Self-check and development of metacognitive skills

Name: Class: Date:

My thoughts

Putting It Together 2 4002, the valu

e of the
In the number places is 0.
dreds and tens
digits in the hun write these digi
ts.
Problem-Solving I do not need to
number as 42.
I can write the

1. I am a four-digit number.
Problem-Solving The value of the digit in my tens place is 70.
The sum of the digits in my tens and units places is 16.
Tom

Provides The value of the digit in my thousands place is the square of 2.

The digit in my hundreds place is 2 more than the digit in
Do you agree
with Tom? Wh
y?

challenging my thousands place.

What number am I?
questions to
develop creative
and critical thinking
skills
ck
Self-che
✓
✓
d write
nt, read an
Can you cou 10 000?
to
numbers up
of each
l the value
Can you tel r-d igit number?
fou
dig it in a

I am the number .

Chapter 13: More about

Numbers
N Moretoabout
10 000
Numbers
• Putting
• Putting
It Together
It To-
2 11 Stag e 4
gether 2 12 TOP Mat hs 28/7/15 8:42
PM

01 TOP MathsWB S4AC1.indd 11

28/7/15 8:42 PM
.indd 12
01 TOP MathsWB S4AC1

Self-check
Provides a review checklist of concepts
and skills required for mastery of the
topic to allow pupils to identify and
communicate their areas of strengths
Mid-Year Review Paper
and weaknesses
Comprises questions to prepare pupils
well for key examinations

Name:
Class: Date:
<.
below with > or
4. Fill in the boxes 9576
(b) 9567
Mid 4165
-Yea (a) 4615
r Rev i e Then fill in the blanks.
w Pa p e r ber sequence.
5. Look at the num
Read the questions care
fully. Then write your answ
provided. ers in the spaces 4835
3835
1. 835 1835
Write these numbers in
words.
(a) 1590 .
h
uence starts wit .
(b) 2105 This number seq in
nex t num ber , we count
To find the an d
2. line
Write these numbers in given number
numerals. ber lies on the number to the
where each num n round each
(a) five thousand, seve
n hundred and thirty-two 6. Estimate wit h a cross (7). The
mark its po siti on
(b) nine thousand and d.
four nearest hundre 7800
7700
3. Look at the number belo
w and fill in the blanks. 7600
(c) 7749
Thousands Hundreds Tens
(b) 7634
Units (a) 7652
atest.
9 er. Beg in with the gre
5 3 numbers in ord
1
7. Arrange these
(a) + 500 + + = 9531 1549
(b) The digit 9 is in the 1 1450 1536
place. 1495 1471 150
(c) The digit has a value of 500.
(d) The digit 3 has a value , ,
of . , ,
,
(e) The digit is in the units place. greatest

v
Mid-Ye ar Review Paper
141
Stag e 4
142 TOP Mat hs

0B TOP Maths WB 4A Prelims.indd 5 29/8/19 12:44 PM

 Contents

1
ter
Chap
Numbers to 10 000
Worksheet 1 Numbers to 10 000 1
Worksheet 2 Place value — Thousands, hundreds,
tens and units 5
Putting It Together 1 9
Putting It Together 2 11
en
o th o u sand, sev
tw en
and sixte
hundred

2
ter
Chap
More about Numbers
Worksheet 1 Comparing numbers 13
Worksheet 2 Ordering numbers 15
Worksheet 3 More than and less than 17
Worksheet 4 Number sequences 19
Worksheet 5 Rounding numbers 22
Worksheet 6 Even and odd numbers 26
Putting It Together 1 28
Putting It Together 2 33
1580, 1085, 1850

3
er
C hapt
Shapes and Solids
Worksheet 1 Polygons 35
Worksheet 2 Symmetry in polygons 40
Worksheet 3 Nets 43
Worksheet 4 Classifying Solids 47
Putting It Together 1 49
Putting It Together 2 57

vi

0B TOP Maths WB 4A Prelims.indd 6 29/8/19 12:44 PM

 6 1
4
51 7
4 1

4
ter
Chap
4 337
–
Addition and Subtraction 8 37
Worksheet 1
Simple addition 59
Worksheet 2
Addition with regrouping — Regrouping units 61
Worksheet 3
Addition with regrouping — Regrouping tens 63
Worksheet 4
Addition with regrouping — Regrouping units and tens 65
Worksheet 5
Simple subtraction 67
Worksheet 6
Subtraction with regrouping — Regrouping tens 69
Worksheet 7
Subtraction with regrouping — Regrouping hundreds 71
Worksheet 8
Subtraction with regrouping — Regrouping tens and
hundreds 73
Worksheet 9 Solving word problems 75
Putting It Together 1 83
Putting It Together 2 89

5
ter
Chap
Multiplication and Division
Worksheet 1 Find doubles 91
Worksheet 2 Multiples 92
Worksheet 3 Multiplication by tens or hundreds 95
Worksheet 4 Multiplication with or without regrouping 96
Worksheet 5 Division by tens or hundreds 102
Worksheet 6 Division without regrouping 103
Worksheet 7 Division with regrouping 105
Worksheet 8 Solving word problems 108
Putting It Together 1 112
Putting It Together 2 116

v ii

0B TOP Maths WB 4A Prelims.indd 7 29/8/19 12:44 PM

 ter

6
Chap

Position and Movement

Worksheet 1 Turns and right angles 119
Worksheet 2 Comparing and
ordering angles 123
Worksheet 3 Direction 124
Worksheet 4 Grid references 128
Worksheet 5 Movement on a grid 132
Putting It Together 1 134
Putting It Together 2 139

Mid-Year Review Paper 141

v iii

0B TOP Maths WB 4A Prelims.indd 8 29/8/19 12:44 PM

 Name: Class: Date:

ter
Chap
1 Nu m
b e rs
to 10 000

Worksheet 1 Numbers to 10 000 Refer to Textbook page 4

1. How many are there?

(a)

(b)

(c)

Numbers to 10 000 • Worksheet 1 1

01 TOP Maths WB 4A_C1.indd 1 29/8/19 12:44 PM

 (d)

(e)

(f)

(g)

2 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 2 29/8/19 12:44 PM

 2.
Which animal sleeps with one eye open?

Write the following numbers in numerals. Then write the correct

letters in the blanks below to find the answer.

(a) seven thousand, three hundred and twenty-one

P

(b) eight thousand and nine

L

(c) three thousand, two hundred and fifteen

O

(d) nine thousand, two hundred and one

N

(e) one thousand four hundred

D

(f) five thousand and ten

H

(g) two thousand and seventy-four

I

1400 3215 8009 7321 5010 2074 9201

Numbers to 10 000 • Worksheet 1 3

01 TOP Maths WB 4A_C1.indd 3 29/8/19 12:44 PM

 3. Match.

• 6470
two thousand, seven •
hundred and sixteen

• 2716

six thousand and •

forty-seven
• 8520

eight thousand, five •

hundred and twenty • 6047

4. Write these numbers in numerals.

(a) one thousand, two hundred and seventy-four
(b) five thousand and twenty-two
(c) eight thousand six hundred
(d) nine thousand, seven hundred and ten

5. Write these numbers in words.

(a) 1312
(b) 2850
(c) 3495
(d) 8011

4 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 4 29/8/19 12:45 PM

 Name: Class: Date:

Worksheet 2 Place value — Refer to Textbook page 9

Thousands, hundreds,
tens and units
1. Fill in the blanks.
(a)
Thousands Hundreds Tens Units

3000 + 200 + 40 + 7 =

(b)
Thousands Hundreds Tens Units

4000 + +8=

(c)
Thousands Hundreds Tens Units

2000 + + 10 =

Numbers to 10 000 • Worksheet 2 5

01 TOP Maths WB 4A_C1.indd 5 29/8/19 12:45 PM

 (d)
Thousands Hundreds Tens Units

4000 + + =

2. Look at the number and fill in the blanks.

Thousands Hundreds Tens Units

3 0 2 9

(a) The digit 3 is in the place.

The value of the digit is .

(b) The digit 0 is in the place.

The value of the digit is .

(c) The digit 2 is in the place.

The value of the digit is .

(d) The digit 9 is in the place.

The value of the digit is .

6 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 6 29/8/19 12:45 PM

 3. Write the missing numbers.
(a) 3 thousands 5 units =

(b) 4 thousands 8 hundreds 5 tens 7 units =

(c) 6 thousands 8 tens =

(d) 7 thousands 9 hundreds 2 tens 2 units =

(e) 10 hundreds =

4. Fill in the blanks.

(a) 1762 = thousand hundreds tens units
1762 = 1000 + + 60 + 2

(b) 4930 = thousands hundreds tens units

4930 = + 900 +

(c) 5032 = thousands hundreds tens units

5032 = 5000 + +

(d) 8104 = thousands hundred tens units

8104 = + +

(e) 6563 = thousands hundreds tens units

6563 = + + 60 +

(f) 3399 = thousands hundreds tens units

3399 = + + +

Numbers to 10 000 • Worksheet 2 7

01 TOP Maths WB 4A_C1.indd 7 29/8/19 12:45 PM

 5. What is the value of each digit? One has been done for you.
(a) 3824 (b) 4731
4
20
800
3000

(c) 9305 (d) 7240

6. What is the value of the digit 8 in each number?

2981
9802
8349

4138 7586

8 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 8 29/8/19 12:45 PM

 Name: Class: Date:

Putting It Together 1
Further Practice

1. Write these numbers in numerals.

(a) six thousand and fifty-six

(b) eight thousand, six hundred and five

2. Write these numbers in words.

(a) 5938

(b) 3412

3. Fill in the blanks.

(a) In the number 7091, the digit is in the hundreds place and
the digit is in the units place.

(b) In the number 9713, the value of the digit 9 is and

the value of the digit 3 is .

(c) In the number 6237, the digit 3 stands for and

the digit 6 is in the place.

Numbers to 10 000 • Putting It Together 1 9

01 TOP Maths WB 4A_C1.indd 9 29/8/19 12:45 PM

 4. Write the missing numbers.
(a) 5 thousands 5 hundreds 6 tens =

(b) 9 thousands 3 tens 9 units =

(c) 8 thousands 2 hundreds 6 units =

(d) 2 thousands 5 tens =

5. Fill in the blanks.

(a) 5000 + 700 + 40 + 2 =

(b) 3000 + 40 + 9 =

(c) 4908 = 4000 + +8

(d) 3255 = + 200 + +5

6. Sam makes a four-digit number using the digits shown below.

The sum of the digits in the thousands and hundreds places is 3.
The difference between the digits in the hundreds and tens places
is 9.

0 3

5 9

What number did Sam make?

7. I am the smallest four-digit number. What number am I?

10 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 10 29/8/19 12:45 PM

 Name: Class: Date:

Putting It Together 2
Problem-Solving

1. I am a four-digit number.
The value of the digit in my tens place is 70.
The sum of the digits in my tens and units places is 16.
The value of the digit in my thousands place is the square of 2.
The digit in my hundreds place is 2 more than the digit in
my thousands place.
What number am I?

I am the number .

Chapter 13: More about

Numbers
N Moretoabout
10 000
Numbers
• Putting
• Putting
It Together
It To-
2 11
gether 2

01 TOP Maths WB 4A_C1.indd 11 29/8/19 12:45 PM

 My thoughts

In the number 4002, the value of the

digits in the hundreds and tens places is 0.
I do not need to write these digits.
I can write the number as 42.

Tom

Do you agree with Tom? Why?

✓ Self-check
✓
Can you count, read and write
numbers up to 10 000?

Can you tell the value of each

digit in a four-digit number?

12 TOP Maths Stage 4

01 TOP Maths WB 4A_C1.indd 12 29/8/19 12:45 PM

 Name: Class: Date:

ter
Chap
2 More
abou
t Numbers

Worksheet 1 Comparing numbers Refer to Textbook page 24

1. Look at this number line.

A B C D

600 700 800

Where do these numbers belong in the number line above? Write the
correct letter in the boxes below.
690 630 610 780

2. Colour all the spaces with numbers smaller than 3758 in yellow.
Colour all the spaces with numbers greater than 6488 in blue.

6428 6783 3840

1968
4782 6287
8468

2868 3672
3755 7326

6492

5734
3729
6348
6190 6489 3912

More about Numbers • Worksheet 1 13

02 TOP Maths WB 4A_C2.indd 13 29/8/19 12:46 PM

 3. Fill in the boxes below with > or <.

(a) 1392 1293 (b) 2691 6129

(c) 4687 4682 (d) 6009 6090

(e) 9545 9554 (f) 7921 7029

4. Colour the smallest number in each set.

(a) 2798 2810 3078 (b) 3201 3210 3120

(c) 4621 799 4627 (d) 5347 5437 5473

5. Colour the greatest number in each set.

(a) 978 1124 1097 (b) 2709 2730 2705

(c) 8900 9800 9808 (d) 8571 8757 8751

6. Look at the numbers on the cards.

4179 < 4193 3072 < 3156 4179 > 3156

(a) What is the smallest number?

(b) What is the greatest number?

7. Orchard A has 2840 apple trees. Orchard B has 2084 mango trees.
Orchard C has 2408 rambutan trees.
(a) Which orchard has the most trees?
(b) Which orchard has the least trees?

14 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 14 29/8/19 12:46 PM

 Name: Class: Date:

Worksheet 2 Ordering numbers Refer to Textbook page 24

1. Tick (✓) the sets that show numbers arranged from the smallest to
the greatest.

590, 509, 5900 2943, 3721, 4510

3378, 3416, 3504 5762, 5748, 5723

6608, 6614, 6780 4588, 4858, 8458

2. Tick (✓) the sets that show numbers arranged from the greatest to
the smallest.

1702, 1570, 1207 3810, 2180, 2130

4683, 4836, 5638 796, 6130, 5873

7491, 7452, 7435 9651, 9629, 9268

3. Arrange these numbers in order. Begin with the smallest.

(a) 1580, 1085, 1850 (b) 3460, 3440, 3064

, , , ,

(c) 4265, 2465, 2658 (d) 6003, 6030, 6300, 3600

, , , , ,

More about Numbers • Worksheet 2 15

02 TOP Maths WB 4A_C2.indd 15 29/8/19 12:46 PM

 4. Arrange these numbers in order. Begin with the greatest.

(a) 2523, 2253, 2352 (b) 4715, 4815, 4825

, , , ,

(c) 8734, 8725, 8731 (d) 7503, 5730, 7350, 7530

, , , , ,

5. The number of whales found in four oceans is shown below.

Ocean A Ocean B
3208 3802

Ocean C
3082 Ocean D
3820

(a) Which ocean has the greatest number of whales?

(b) Which ocean has the least number of whales?
(c) Arrange the oceans in order. Begin with the ocean with the
greatest number of whales.
, , ,
greatest

16 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 16 29/8/19 12:46 PM

 Name: Class: Date:

Worksheet 3 More than and less than Refer to Textbook page 24

1. Look at this number line.

B 5348 6348 C 8348

A less

Where do these numbers belong in the number line above?

Write the correct letters in the boxes below.

7348 1000 4348

2. Match.

1 more than 2305 • • 7563

10 less than 3816 • • 5213

100 more than 1384 • • 5366

100 less than 5466 • • 3806

1000 more than 4213 • • 1484

1000 less than 8563 • • 2306

More about Numbers • Worksheet 3 17

02 TOP Maths WB 4A_C2.indd 17 29/8/19 12:46 PM

 3. Fill in the blanks.
(a) 3584 is 1 more than .

(b) is 1 less than 7079.

(c) is 10 more than 5823.

(d) is 10 less than 6475.

(e) 1579 is 100 more than .

(f) 4941 is 100 less than .

(g) is 1000 more than 1849.

(h) 8953 is 1000 less than .

4. There were 6794 penguins on an island. 100 penguins were taken

away for a month by research scientists. How many penguins were
left on the island?

5. A frog lays 2956 eggs in the pond. Another frog lays 1000 eggs in the
pond. How many frog eggs are there altogether?

18 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 18 29/8/19 12:46 PM

 Name: Class: Date:

Worksheet 4 Number sequences Refer to Textbook page 33

1. Look at the number sequences. Then fill in the blanks.

(a) 8963, 7963, 6963, ,

This number sequence starts with .

To find the next number, we count in .

(b) 6104, 6105, , , 6108

This number sequence starts with .

To find the next number, we count in .

(c) 5716, , , 5416, 5316

This number sequence starts with .

To find the next number, we count in .

(d) 3595, , , 3625, 3635

This number sequence starts with .

To find the next number, we count in .

(e) 2473, 3473, , , 6473

This number sequence starts with .

To find the next number, we count in .

More about Numbers • Worksheet 4 19

02 TOP Maths WB 4A_C2.indd 19 29/8/19 12:46 PM

 2. Count on or back in ones. Then fill in the blanks.
(a) 5193, 5194, 5195, , ,
(b) 3238, 3237, , , , 3233

3. Count on or back in tens. Then fill in the blanks.

(a) 2010, , 2030, 2040, ,
(b) 1891, , , , 1851, 1841

4. Count on or back in hundreds. Then fill in the blanks.

(a) 7889, , , 7589, 7489,
(b) 4029, , 4229, 4329, ,

5. Count on or back in thousands. Then fill in the blanks.

(a) , , 6360, , 8360, 9360
(b) 6680, , 4680, 3680, ,

6. Look at the number sequences. Then fill in the blanks.

6320
7320
8330 8350 8360
9320 8339
8338
8237 8537 8637

20 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 20 29/8/19 12:46 PM

 7. Look at the number sequences. Then fill in the blanks.
Use the number line to help you.

–25 –20 –15 –10 –5 0 5 10 15 20 25

(a) , , –2, –4, , –8

This number sequence starts with .
To find the next number, we count in .
(b) 13, , 5, 1, ,
This number sequence starts with .
To find the next number, we count in .
(c) –3, , , –12, –15
This number sequence starts with .
To find the next number, we count in .
(d) 24, 15, , , –12,
This number sequence starts with .
To find the next number, we count in .
(e) 11, , –1, –7, , –19
This number sequence starts with .
To find the next number, we count in .

(f) 20, , 6, –1, , –15

This number sequence starts with .
To find the next number, we count in .

More about Numbers • Worksheet 3 21

02 TOP Maths WB 4A_C2.indd 21 29/8/19 12:46 PM

 Name: Class: Date:

Worksheet 5 Rounding numbers Refer to Textbook page 40

1. For each pair of numbers, write two numbers that lie between them.

(a) 2260 and 2270 and

(b) 1370 and 1380 and

(c) 5300 and 5400 and

(d) 6200 and 6300 and

(e) 1000 and 2000 and

(f) 8000 and 9000 and

2. Estimate where each number lies on the given number line and mark
its position with a cross (7). One has been done for you.
(a) 2115 (b) 2189 (c) 2162

2110 2120 2130 2140 2150 2160 2170 2180 2190 2200
2115

3. Estimate where each number lies on the given number line and mark
its position with a cross (7).
(a) 6340 (b) 6781 (c) 6528

6100 6200 6300 6400 6500 6600 6700 6800 6900 7000

22 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 22 29/8/19 12:46 PM

 4. Estimate where each number lies on the given number line and mark
its position with a cross (7).
(a) 5608 (b) 7387 (c) 4799

4000 5000 6000 7000 8000

5. Fill in the blanks with the correct tens.

2934 is between 2930 and .
2934 is nearer to than to .
2934 ≈ when rounded to the nearest ten.

6. Fill in the blanks with the correct hundreds.

4291 is between and .
4291 is nearer to than to .
4291 ≈ when rounded to the nearest hundred.

7. Fill in the blanks with the correct thousands.

6720 is between and .
6720 is nearer to than to .
6720 ≈ when rounded to the nearest thousand.

8. Colour the numbers that do not give 8000 when rounded to the
nearest thousand.

7542 7835 7913 8107

7485 8512 8493 8721

More about Numbers • Worksheet 5 23

02 TOP Maths WB 4A_C2.indd 23 29/8/19 12:46 PM

 9. Complete the table below.

Rounded to the Rounded to the

Number
nearest ten nearest hundred

1178

2425

6137

7593

8146

Colour the stones containing the answers from the table above to find
out which flowerbeds Rita walked to.

Start
8100 7600
6130
1180 1200
1700
8140 2430 2400 2420
7590
1918 8150 7950

4160 6100
6140 6200

24 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 24 29/8/19 12:46 PM

 10. Complete the table below. Then help the mouse get to its cheese by
following your answers through the maze.

Number Rounded to the nearest thousand

2426

4360

5776

6525

7877

3000

2430

2000 5000 4400

4000

7900
6000

5900

6530
8000
6500

7000 7900

More about Numbers • Worksheet 5 25

02 TOP Maths WB 4A_C2.indd 25 29/8/19 12:46 PM

 Name: Class: Date:

Worksheet 6 Even and odd numbers Refer to Textbook page 45

1. Count the number of sides of each shape. Fill in the blanks with even
or odd.

Shape Number of sides

(a)

(b)

(c)

2. Fill in the blanks with even or odd.

(a) Add 15 to 19.

(b) Subtract 12 from 27.

(c) Add an even number to an odd number.

(d) Add an odd number to an odd number.

(e) Subtract an odd number from an odd number.

26 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 26 29/8/19 12:46 PM

 3. Colour the even numbers red and the odd numbers green.

658 139 574 983 800

61 16 962 825 736

4. (a) Write down the next five even numbers.

36, 38, , , , ,

(b) Write down the next five odd numbers.

49, 51, , , , ,

5. (a) How many odd numbers are there between 90 and 110?

(b) How many even numbers are there between 531 and 545?

6. Help the rabbit find his carrot by colouring the squares that have odd
numbers.

92 105 75 113 55 86 100 98 18 70

26 59 88 46 49 94 122 66 54 36
18 5 30 11 52 74 121 77 111 100 312 710
58 47 19 73 36 90 118 66 123 417 519 813

More about Numbers • Worksheet 6 27

02 TOP Maths WB 4A_C2.indd 27 29/8/19 12:46 PM

 Name: Class: Date:

Putting It Together 1
Further Practice

1. Fill in the boxes below with > or <.

(a) 1803 3482 (b) 2317 2713

(c) 5050 5005 (d) 6787 6784

(e) 7253 7801 (f) 8190 8167

2. Circle the smallest number in each set.

(a) 3045, 3288, 2483, 4074

(b) 5376, 5729, 5781, 5352

(c) 8439, 8431, 8499, 8480

3. Circle the greatest number in each set.

(a) 1338, 2081, 1485, 2183

(b) 4034, 4142, 4043, 4124

(c) 7205, 7248, 7402, 7219

28 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 28 29/8/19 12:46 PM

 *4. (a) What is the smallest four-digit number that has 6 as one of its
digits?

(b) What is the smallest four-digit number that does not have the
digit 0?

(c) What is the largest four-digit number in which no digit is

repeated?

5. Arrange these numbers in order. Begin with the smallest.

8631, 8316, 8361, 8136

, , ,
smallest

6. Tom, Min, Rita and Ari each uploaded a video clip to the Internet.
The number of views of each video clip is shown below.
Tom Rita

Min Ari
5342 5243

5423 5432

(a) Who received the greatest number of views?

(b) Arrange the number of views in order. Begin with the greatest.
, , ,
greatest

More about Numbers • Putting It Together 1 29

02 TOP Maths WB 4A_C2.indd 29 29/8/19 12:46 PM

 7. Fill in the blanks.
(a) 4857 is 1 less than .
(b) 10 more than is 3862.
(c) 100 less than is 7101.
(d) is 1000 more than 3192.

8. Look at the number sequences. Then fill in the blanks.

(a) 7000, 6900, , 6700, ,
This number sequence starts with .
To find the next number, we count in .
(b) 3740, , , 6740, 7740,
This number sequence starts with .
To find the next number, we count in .

9. For each pair of numbers, write two numbers that lie between them.
(a) 4450 and 4460 and

(b) 1700 and 1800 and

(c) 3000 and 4000 and

10. Estimate where each number lies on the given number line and mark
its position with a cross (7).
(a) 4482 (b) 3500 (c) 1854

1000 2000 3000 4000 5000

30 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 30 29/8/19 12:46 PM

 11. Round each number to the nearest ten.

4007 ≈ 6351 ≈ 8385 ≈

12. Round each number to the nearest hundred.

5439 ≈ 8873 ≈ 9088 ≈

13. Round each number to the nearest thousand.

2649 ≈ 3322 ≈ 6551 ≈

14. Look at the number line below. Mark with crosses (7) the hundreds
on the number line that will round to 8000 when rounded to the
nearest thousand.

7000 8000 9000

(a) What is the smallest marked hundreds?

(b) What is the greatest marked hundreds?

More about Numbers • Putting It Together 1 31

02 TOP Maths WB 4A_C2.indd 31 29/8/19 12:46 PM

 15. Look at the number sequences. Then fill in the blanks.
Use the number line to help you.

–25 –20 –15 –10 –5 0 5 10

(a) –1, –4, , –10, ,

This number sequence starts with .
To find the next number, we count in .
(b) –17, , –5, 1, ,
This number sequence starts with .
To find the next number, we count in .

(c) 6, –1, , –15,

This number sequence starts with .
To find the next number, we count in .

16. Is the following even or odd? Circle the correct answer.

(a) The difference between two odd numbers even / odd
(b) The sum of two even numbers even / odd

(c) The difference between an even and an

odd number even / odd

(d) The sum of two odd numbers even / odd

32 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 32 29/8/19 12:46 PM

 Name: Class: Date:

Putting It Together 2
Problem-Solving

1. Five cars took part in a race. The numbers on their licence plates are
shown below.

The car with the greatest licence plate number finished last.
The licence plate numbers of the cars that came in 1st and 2nd are
approximately 6800 when rounded to the nearest hundred.
The licence plate number of the car that came in 2nd has a digit less
than 5 in the units place.
The licence plate number of the car that came in 3rd is 1000 less than
the number of the car that came in last.

Use the clues above to find out which car came in 1st, 2nd, 3rd, 4th
and 5th. Then fill in the trophies below with the correct licence plate
numbers.

1st 2nd 3rd 4th 5th

Chapter 13: More about

More about
N MoreNumbers
about Numbers
• Putting
• Putting
It Together
It To-
2 33
gether 2

02 TOP Maths WB 4A_C2.indd 33 29/8/19 12:46 PM

 My thoughts

Smarty wrote the number sequence below.

2400, 2600, 4600, 4800, 6800, 7000
Explain how Smarty formed this number sequence.

Self-check
✓
Can you position three-digit numbers
accurately on a number line?

Can you compare and order four-digit

numbers?

Can you find the number that is 1, 10, 100

or 1000 more or less than any four-digit
number?

Can you describe and continue number

sequences by counting on or counting back
from four-digit numbers?

Can you use negative numbers?

Can you describe and continue number

sequences involving negative numbers?

Can you round four-digit numbers to the

nearest ten, hundred or thousand?

Can you make general statements about sum

and difference of odd and even numbers?

34 TOP Maths Stage 4

02 TOP Maths WB 4A_C2.indd 34 29/8/19 12:46 PM

 Name: Class: Date:

ter
Chap
6 Positio
n and
Movement

Worksheet 1 Turns and right angles Refer to Textbook page 155

1. Look at the turns. Then complete the table.

(a) (b)

(a) (b)
1
Number of -turns
4

Number of right angles

Size of angle formed

*2. Fill in the blanks.

(a) B B B
A
• • A A •
-turn -turn
The total angle that Strip A has turned through is °.
(b) B
B B
A
•
• A •
-turn A -turn
The total angle that Strip A has turned through is °.

Position and Movement • Worksheet 1 119

06 TOP Maths WB 4A_C6.indd 119 17/5/20 2:40 PM

 *3. Draw the minute hand on each clock on the right to show where it will
be after the given movement. Then fill in the blanks.
(a)

90° turn
clockwise

The minute hand moved through right angle.

(b)

180° turn
anti-clockwise

The minute hand moved through right angles.

(c)

270° turn
anti-clockwise

The minute hand moved through right angles.

(d)

360° turn
clockwise

The minute hand moved through right angles.

12 0 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 120 17/5/20 2:40 PM

 4. The pictures below show where Tom’s capsule is before the
Ferris wheel turns. Mark a cross (7) on the capsule to show the correct
position of Tom’s capsule after the Ferris wheel turns. Then fill in
the blanks.
(a)
The Ferris wheel makes a 1 -turn
4
in a clockwise direction.

The size of the angle that Tom’s

capsule has moved through
is .

(b)
1
The Ferris wheel makes a -turn
2
in an anti-clockwise direction.

The size of the angle that Tom’s

capsule has moved through
is .

(c) The Ferris wheel turns through

3 right angles in a clockwise
direction.

The size of the angle that Tom’s

capsule has moved through
is .

Position and Movement • Worksheet 1 121

06 TOP Maths WB 4A_C6.indd 121 17/5/20 2:40 PM

 5. The picture below shows some pupils in a classroom.
Fill in the blanks.

Ari Bob Smarty

Don Tina Tom

Min Rita Chang

1
(a) Smarty makes a -turn in a clockwise direction.
4
Who will he face?
(b) Rita makes a 90° turn in a clockwise direction.
1
Then she makes a -turn in an anti-clockwise direction.
2
Who will she face?
(c) Tina turns 270° in a clockwise direction.
1
How many -turns in the anti-clockwise direction does she
4
now have to make to face Don?

12 2 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 122 17/5/20 2:40 PM

 Name: Class: Date:

Worksheet 2 Comparing and Refer to Textbook page 155

ordering angles

1. Look at the angles below. Arrange the angles in order. Begin with the
smallest.

(a)
a
c
b

, ,
smallest

(b)

z
x y

, ,
smallest

2. Look at the angles in the shape. Arrange the angles in order.

Begin with the biggest.

a
b

, ,
biggest

Position and Movement • Worksheet 2 12 3

06 TOP Maths WB 4A_C6.indd 123 17/5/20 2:40 PM

 Name: Class: Date:

Worksheet 3 Direction Refer to Textbook page 159

1. The picture below shows a knight standing in the middle of a village.

He is facing the castle. Fill in the blanks with the correct answers.

castle
barn windmill

forest barracks

docks lumber mill

town square

(a) The castle is to the of the knight.

(b) The lumber mill is to his .

1
(c) If the knight makes a -turn in the clockwise direction, he will
4
face the .

(d) If he turns 135° in the anti-clockwise direction instead, he will

face the .

12 4 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 124 17/5/20 2:40 PM

 2. Look at the picture below. Then fill in the blanks.

(a) The circle is to the of the square.

(b) The is to the north-east of the octagon.

(c) The hexagon is to the of the pentagon.

(d) The is to the north-west of the triangle.

(e) The heptagon is to the of the triangle.

(f) Name one shape that is to the north-east of the heptagon.

(g) Draw a star in the grid above such that the rectangle is to the
west of the star.

(h) Mark an ‘X’ in the square that is to the north-west of the rectangle.

Position and Movement • Worksheet 3 12 5

06 TOP Maths WB 4A_C6.indd 125 17/5/20 2:40 PM

 3. A monkey uses the shaded path to get to the mango first and then to
the pear. Fill in the blanks with the correct answers.

pear

mango passion
fruit

monkey

(a) First, the monkey moves squares to the .

(b) Then it turns anti-clockwise and moves square

to the to get to the mango.

(c) It then turns clockwise and moves square to

the .

(d) Finally, it turns clockwise and moves squares to the

to get to the pear.

(e) Write directions for the monkey to get to the passion fruit from
the pear.

12 6 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 126 17/5/20 2:40 PM

 4. The picture below shows the locations of the shops in Sarah’s
neighbourhood. Sarah needs to run a few errands for her mother
before she takes a bus home from the bus stop.

petrol pet
kiosk shop
Sarah
arcade

bank

hair grocery florist

salon store
N

bicycle restaurant bus

shop stop

The walking directions below show the path that Sarah will take.
Read the directions and colour the path that Sarah takes, including
her start and final positions.

Walking directions:
1 First, turn 90° clockwise and move 1 square east to go
to the bank.
2 Then turn 45° anti-clockwise and move 2 squares
north-east to go to the pet shop.
3 Next, turn 135° clockwise and move 3 squares south to
go to the grocery store.
4 Finally, turn 45° anti-clockwise and move 2 squares
south-east to reach the bus stop.

Position and Movement • Worksheet 3 127

06 TOP Maths WB 4A_C6.indd 127 17/5/20 2:40 PM

 Name: Class: Date:

Worksheet 4 Grid references Refer to Textbook page 164

1. Look at the picture below. Then circle the correct fruit found in the grid
references indicated below.

A B C D E

(a) At D5

(b) At E1

(c) At A5

12 8 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 128 17/5/20 2:40 PM

 2. Look at the map below. Then fill in the blanks.

swimming
5 pool

library
4
shopping
3 mall

bus stop school

2
restaurant
1
shop
A B C D E F

(a) The library is at .

(b) The shopping mall is at .

(c) The shop is at .

(d) The swimming pool is at .

(e) The school is at .

(f) The bus stop is at .

Position and Movement • Worksheet 4 12 9

06 TOP Maths WB 4A_C6.indd 129 17/5/20 2:40 PM

 3. Tom, Min, Ari and Rita hide some objects at different parts in a
garden. The grid reference map of the garden is shown below.

A B C D E F G

Read their statements below. Using four different colours, colour the
squares at which each child has hidden their objects.

I have hidden My objects are at

my objects at C6, B3 and F7.
G7, A2 and E1.

Colour used: Colour used:

Min Rita

My objects are at My objects are

D5, E7, A4. at B7, G1 and F3.

Ari Colour used: Colour used:

Tom

13 0 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 130 17/5/20 2:40 PM

 4. Mr Ng planted some fruit trees in his backyard. The picture below
shows a grid reference map of his backyard and where he planted
the various types of trees.

7
mango apple
tree tree
6

4
banana
tree
3

watermelon plants cherry

2 tree
pear tree

A B C D E F G

(a) What is the position of his pear tree?

(b) What is the position of his mango tree?

(c) In which part(s) of his backyard did Mr Ng grow his watermelons?

(d) Mr Ng planted some coconut trees at C5, F7 and G1.

Mark these squares with a ‘C’.

(e) Mr Ng wants to build a shed at B4. Colour this square.

(f) A fence will be built on the squares E3, E4 and E5. Mark these
squares with an ‘F’.

Position and Movement • Worksheet 4 131

06 TOP Maths WB 4A_C6.indd 131 17/5/20 2:40 PM

 Name: Class: Date:

Worksheet 5 Movement on a grid Refer to Textbook page 167

1. Alan walks on the green path to get to the clinic. Fill in the blanks with
the correct answers. You may use the words below to help you.

forward  backward  left  right

Alan
5

clinic
1

A B C D E F G H I

(a) From A6, he first moves 1 square.

(b) Then he turns and moves 2 squares.

(c) Next, he turns at B4 and moves 5 squares.

(d) He then turns at and moves 2 squares.

(e) Finally, he turns at G2 and moves 2 squares

to get to the clinic at .

13 2 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 132 17/5/20 2:40 PM

 2. Min wants to go to the library and then to the cinema. The picture
below shows the locations of both places.

cinema
4

2
Min
library
1

A B C D E F G H I

Read the walking directions below. Then colour the path that Min
must take, including the starting and final positions.

Walking directions:

1 From H1, move forward 1 square.

2 Next, turn left and move forward 5 squares. You

are now at the library.

3 From the library, move forward 2 squares to E2.

4 Turn left and move forward 3 squares.

5 Turn right and move forward 2 squares to reach

the cinema.

Position and Movement • Worksheet 5 13 3

06 TOP Maths WB 4A_C6.indd 133 17/5/20 2:41 PM

 Name: Class: Date:

Putting It Together 1
Further Practice

1. The picture below shows the positions of some musical instruments in

a hall. Look at the picture and fill in the blanks.

harmonica

drum trumpet
N

violin tambourine

(a) The is to the south-west of the harmonica.

(b) The trumpet is to the of the tambourine.

(c) The is to the north-east of the violin.

(d) The drum is to the of the violin.

(e) The is to the south-east of the harmonica.

(f) The trumpet is to the of the drum.

13 4 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 134 17/5/20 2:41 PM

 2. The picture below shows the locations of some stalls and rides at a
carnival. Roy wants to get a sculpted balloon before going for a ride
on the carousel and then the bumper cars.

train ride bumper

cars

balloon carousel
sculpting

Roy candy
floss stall

popcorn games
stall stall

Read the walking directions below. Then colour the path that Roy will
take, including the starting and final positions.

Walking directions:
1 From where you are, turn 45° anti-clockwise and move
2 squares north-east. You are now at the balloon sculpting
station.
2 From the balloon sculpting station, turn 45° clockwise
and move 4 squares east to reach the carousel.
3 From the carousel, turn 135° anti-clockwise and move
1 square north-west.
4 Finally, turn 45° anti-clockwise and move 1 square west
to reach the bumper cars.

Position and Movement • Putting It Together 1 13 5

06 TOP Maths WB 4A_C6.indd 135 17/5/20 2:41 PM

 3. Rita is standing at point X. Complete the table below.

Island A
Island H Island B

Island G Island C

Island F Island D

Island E

Rita is facing Rita makes a Rita is now facing

Island E 90° turn anti-clockwise Island

3
Island G -turn anti-clockwise Island
4

Island C turn clockwise Island A

Island 90° turn anti-clockwise Island H

Island F 270° turn clockwise Island

Island H turn clockwise Island D

Island 45° turn clockwise Island G

13 6 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 136 17/5/20 2:41 PM

 4. The picture below shows the position of electrical appliances sold in
Mr Ong’s shop. Look at the picture and answer the questions.

phones
4
head
phones
3

televisions laptops
1

A B C D E F G H

(a) The headphones are located at .

(b) The laptops are located at .

(c) The are located at A5 and B5.

(d) Mr Ong wants to put a fan at E2, a cashier at G4 and a sofa

at H5.
Colour each of these squares and label them.

(e) A speaker will be placed at A1 and H1.

Mark each of the squares with an ‘X’.

Position and Movement • Putting It Together 1 137

06 TOP Maths WB 4A_C6.indd 137 17/5/20 2:41 PM

 5. The map below shows the locations of a stream and a bear’s cave.
It also shows the positions of five traps that a hunter has placed.
The bear wants to get to the stream to drink water before returning to
her cave.

stream
4

Trap 4 Trap 5 cave

3

2
bear
Trap 1 Trap 2 Trap 3
1

A B C D E

(a) From the bear’s position at A1, describe the path she will take to
get to the stream without being trapped.

(b) From the stream, describe the shortest way for the bear to get to
her cave such that she does not get trapped.

13 8 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 138 17/5/20 2:41 PM

 Name: Class: Date:

Putting It Together 2
Problem-Solving

1. Decode the secret message by following the instructions.

H L R !

K I E

U O
start N

N Y A ?

Example:
North 2 (pause), East 2, South 1 (pause) reads HI.

1. South 1, East 4 (pause), North 3 (pause), South-west 1 (pause)

2. East 2, South 1 (pause), East 2, North-east 1 (pause), West 2 (pause)

3. East 5 (pause), West 4, North-west 1 (pause), South-east 2, East 3

The message is .

Chapter 13: More

Position
about N
and
More
Movement
about Numbers
• Putting
• Putting
It Together
It To-
2 13 9
gether 2

06 TOP Maths WB 4A_C6.indd 139 17/5/20 2:41 PM

 My thoughts

Here is a set of drawers.

A B C D E F

G H I J K L M

N O P Q R S

T U V W X Y Z
How would you describe where the drawers are that have
labels which spell the name of your country?

Self-check
✓
Can you recognise the
relationship between turns, right
angles and angle managements
in degrees?

Can you follow and give

directions to get to places using
a compass?

Can you find and describe the

position of a square on a grid
reference?

Can you follow and give

directions to get to places using
grid references?

14 0 TOP Maths Stage 4

06 TOP Maths WB 4A_C6.indd 140 17/5/20 2:41 PM