1A
Exercise Topic Strand Learning Objective Page
1 Positions Shape and Space • use ‘over’, ‘under’, ‘left’, ‘right’, ‘in front of’, ‘behind’
and ‘between’ to describe relative positions of
objects with respect to the observer’s point of view 2
2 Numbers Up to 20 Number
• recognise numbers 1-20, including counting, reading and writing the numbers
• use the method of one-to-one correspondence to compare the quantities of two groups of objects
• use the concept of cardinal numbers to compare the quantities of two groups of objects
4
3 Counting Onwards
and Backwards Number • perform counting onwards and counting
backwards: 1-20 6
4 Odd and Even Numbers Number • recognise the odd and even numbers up to 20 8 5 Order and Quantity
of Objects Number
• use cardinal numbers to indicate the quantities of objects and ordinal numbers to indicate the order
of arrangement of objects 10
Test 1 (Exercises 1–5) 12
6 Composition of
Numbers 2 to 10 Number • recognise the decomposition and composition of
numbers 2-10 16
7 Composition of
Numbers 11 to 18 Number • recognise the decomposition and composition of
numbers 11-18 18
8 Length Measures
• recognise the concept of length
• compare intuitively the lengths of objects
• compare directly the lengths of objects
• compare the lengths of objects in improvised units
• choose appropriate improvised units for taking measurements
20
9 Distance Measures
• recognise the concept of distance
• compare intuitively the distances between objects
• compare directly the distances between objects
• compare the distances between objects in improvised units
22
10 Introduction to
Addition Number
• understand the basic concept of addition
• perform addition of numbers within 18 verbally
• verbally solve the problems presented mainly by diagrams and record the workings in horizontal form
24
11 More about Addition Number • recognise the commutative property of addition 26
Exercise Topic Strand Learning Objective Page
Test 2 (Exercises 1–11) 28
12 Introduction to
Subtraction Number
• understand the basic concept of subtraction
• perform subtraction of numbers within 18 verbally
• verbally solve the problems presented mainly by diagrams and record the workings in horizontal form
32
13 Knowing 0 Number • recognise the concept and properties of 0 34 14 Addition and
Subtraction Number • understand the relation between addition and
subtraction 36
15 Numbers Up to 100 Number
• recognise numbers 21-100, including counting, reading and writing the numbers
• perform counting onwards and counting backwards: 21-100
38
16 Units Place and
Tens Place (1) Number • recognise the concepts of the units place and the
tens place 40
17 Units Place and
Tens Place (2) Number • compare the magnitude of numbers
• recognise the odd and even numbers up to 100 42 18 Methods of Counting Number • perform counting in groups of 2, 5 and 10
• estimate the quantity of objects 44
Examination (Exercises 1–18) 46
Public Exam — Analysis of Common Questions 52
Public Exam — High Grade Shot 56
Brainy Challenge 58
Interactive Maths — Simple Sudoku (Enrichment Topic) 60
The book includes:
• Warm-up Worksheets
• Problem-solving Worksheets
• Answer Key and Glossary
Contents Side-by-side Mathematics Exercises
(Second Edition)
e-Media
sample
3 2
Date Marks
Foundation
Adv anc ed L ev el Int erme diat e L ev el
Positions
Circle the answers.
1. 2.
is on the ( left / right ) . is ( over / under ) .
3. 4.
is ( in front of / behind ) . ( / ) is between and .
Look at the picture and circle the answers.
5. is on the ( left / right ) .
6. ( / ) is over .
7. ( / ) is between and .
8. is between and ( / ) .
9. Mandy puts 4 sets of pictures on a notice board. In which set below is on the left? (Blacken the circle next to the answer)
A. B. C. D.
10. Look at the picture and answer the questions.
( a) is
over / under
Mini-bus. (
Circle the answer)
( b)
/ / is the last one at the back. (
Circle the answer)
( c)
/ / are between and .
(
Circle all the answers)
11.
Which of the following pictures is correct according to what Henry says? (Write the letter next to the answer in the )
A. B. C. D.
is under .
is between and .
?
Mini-bus
Warm-up Q
Henry
Look at the pictures in options A to D one by one. Which one is the same as what Henry says?
MC Shortcut MC Shortcut
sample
39 38
Date Marks
Foundation
Numbers Up to 100
Count the numbers of cubes and fill in the blanks.
1. 2.
Number of cubes: Number of cubes:
Read as: Read as:
3.
Number of cubes:
Read as:
Colour the cubes according to the numbers.
4.
5.
Follow the instructions and write suitable numbers.
6. Counting backwards 7. Counting onwards 46
Eighty- three
73 48
8. Write ‘twenty-six’ in numerals.
Answer:
9. Write ‘70’ in words.
Answer:
10. Fill in the boxes with suitable numbers according to the patterns.
( a)
( b)
11. Which number below is read as ‘one hundred’? (Blacken the circle next to the answer)
A. B. C. D.
12. Which group of numbers below shows counting onwards? (Blacken the circle next to the answer)
A. 27, 28, 30, 32, 33 B. 19, 20, 21, 22, 23 C. 42, 41, 40, 39, 38 D. 37, 38, 36, 35, 34
13.
Arrange the numbers above to show counting backwards.
Answer:
10 1 100 0
79 82 80 77 81 78
Int erme diat e L ev el
93 94 99
31 32
36
sample
46
E xamination E xamination
E xamination Marks Date / 80
Study the pictures and complete the questions. (1 marks for each answer)
1. 2.
There are marbles There are 10 T-shirts. 6 are .
altogether. are .
6 + = 10 – =
3.
There are more than . 13 – =
4.
The difference in number between and is . 8 – =
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sample
52
Analysis of Common Questions Public Exam
Calculation
1. 3 + 2 =
2. 11 – 7 =
3. 14 – = 6
4. 9 + = 3 + 9
Sequencing
5. Arrange the following numbers from the greatest to the smallest.
Answer: , ,
( Greatest) ( Smallest)
Multiple-choice
6. Which option below contains only even numbers?
( Blacken the circle next to the answer)
A. 7, 12 B. 5, 19
C. 8, 16 D. 10, 13
(Exercise 10 ─ Q10)
(Exercise 12 ─ Q11)
(Exercise 14 ─ Q5(b))
(Exercise 11 ─ Q8)
(Exercise 17 ─ Q12)
(Exercise 4 ─ Q8)
29 22 36
Smart Tactics
Memorising the composition and decomposition of numbers 2 to 18 helps perform addition and subtraction.
Smart Tactics
Think about the decomposition of 14. Which number together with 6 can 14 be split into?
Smart Tactics
There is no need to rush to calculation. Study the expression carefully. You will find that ‘9’ is on both sides of ‘=’ but in different positions. Think about the properties of addition. What will happen when exchanging the two numbers in an addition?
Smart Tactics
Pay attention to whether the question asks about arranging numbers from the greatest to the smallest or from the smallest to the greatest.
Smart Tactics
The question asks about even numbers only. So you can first eliminate options with odd numbers. Note that you should blacken the circle of the answer completely.
( Smallest) ( Greatest)
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sample
56
Public Exam High Grade Shot
1.
In the picture above, Box
A / B / C is the shortest. (
Circle the answer)
(Exercise 8 ─ Q8)
2. Tommy has 8 gummy sweets and Henry has 15 gummy sweets.
The difference in number between the gummy sweets they have is .
( Write the expression)
(Exercise 12 ─ Q12)
A B C
Sorting It Out
Before answering the question, read it carefully to find out keywords. It asks about
‘the shortest’ box. That means you should compare the heights of the boxes.
Ignore the widths of the boxes and don’t be confused by the objects above them.
You can compare the heights of the boxes by direct observation, or by marking their heights with in the picture to help comparison. Note that the question asks about ‘the shortest’, not ‘the tallest’.
Sorting It Out
Try to understand the question first. This is a subtraction about ‘comparing the quantities’. You can draw pictures (e.g. circles) to represent their gummy sweets.
Then compare them by the one-to-one method. Or think about how 15 can be split into: ‘8 and ?’. That number will be the answer.
Note that when you are writing an expression of subtraction, the smaller number should be subtracted from the greater number. Moreover, symbols must be used correctly. Do not confuse the plus sign ‘ + ’, the minus sign ‘ – ’ and the equal sign
‘ = ’ with each other.
Mind the Trap
Students may confuse the height with the width of an object.
Mind the Trap
When writing the expression of subtraction, students may forget to write the greater number first and then the smaller number. They may just list the numbers according to the order of appearance of the numbers in the question.
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sample
( Enrichment Topic )
Interactive
M aths Simple Sudoku
60
‘Sudoku’ is a number puzzle. This is a Sudoku of 9 boxes. The mission is to fill numbers in the boxes so that there are 1, 2 and 3 in every row and every column.
Then, look at the green row. According to the rule, there must be a 3 in every row. Since the right box cannot be 3, it must be 3 in the left box.
This is a Sudoku of 16 boxes.
There must be 1, 2, 3 and 4 in every row and every column, and also 1, 2, 3 and 4 in every .
L o o k ! S i n c e o n e of the boxes in the blue column is 3, the other boxes in this column will not be 3 according to the rule.
By using similar methods, we can continue to guess the numbers in all empty boxes.
We can use different approaches to solve this kind of Sudoku.
My approach is to check every row first. Look for a row with only 1 empty box and fill the number in it. Then, look for a column in the same way.
Repeat these steps for other rows and columns. Lastly, check .
3 2 1 3
2
3 3 2 1 3 3 2 3
7
7
3
1 3 4
3 4
2 3
3 1 3 2 4
3 4
2 3
3 1 3 2 4
3 4
2 1 3
3 1 3 2 4
3 4
4 2 1 3
2 3
1 3 2 4
3 4
4 2 1 3
2 4 3 1 1 3 2 4 3 1 4 2 4 2 1 3
3 3 2 1 3 2 3
7
7
1 3 2 2 1 3 3 2 1
Check
the row Check
the column Check
the row Check
the column Check
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