Unit-1: Numbers and the Number system

Topic 1.1: Counting and sequence

Q.No.1: write the next two numbers in the sequence one is solved for you.
28 34
The sequence 10, 16, 22, ____, ____
The next term in sequence are:
+6 +6 +6 +6
10 16 22 28 34 (Number increased by 6)
I. The sequence is: 1, 3, 6, 10, ___, ___.

II. The sequence is: 3, 6, 12, 24, ___, ___.

III. The sequence is: 11, 22, 33, ___, ___.

IV. The sequence is: 1, 2, 4, 7, 11, ___, ___.

V. The sequence is: 19, 27, 34, ___, ___.

Q.No.2: circle the term which is not the part of sequence one is solved for you.:

22, 28, 34 , 40
I. 3, 6, 9, 11, 12

II. 5, 10, 15, 21, 20

III. 2, 4, 6, 9, 8

IV. 1, 4, 9, 16, 20

V. 10, 17, 24, 31, 35

Q.No.3: write the next two numbers in the sequence one is solved for you.
The sequence 49, 44, 39, ____, ____.
The next term in sequence are:
-5 -5 -5 -5

49 44 39 34 29 (Number decrease by 5)
I. The sequence is: 75, 70, 65, ___, ___.

II. The sequence is: 60, 50, 40, ___, ___.

III. The sequence is: 200, 180, 160, ___, ___.

IV. The sequence is: 300, 297, 292, 287, ___, ___.

V. The sequence is: 109, 101, 93, ___, ___.

Q.No.4: Describe each of the sequence below.

I. 5, 9, 13, 17
 Is the sequence is linear or non-linear.

_________________________________________________________________________________

 What is the term to term rule?

_________________________________________________________________________________

 What are the next 3 term of sequence.

_________________________________________________________________________________

II. 6, 12, 24, 48

 Is the sequence is linear or non-linear.

_________________________________________________________________________________

 What is the term to term rule?

_________________________________________________________________________________

 What are the next 3 term of sequence.

_________________________________________________________________________________

III. 81, 27, 9, 3

 Is the sequence is linear or non-linear.

_________________________________________________________________________________

 What is the term to term rule?

_________________________________________________________________________________

 What are the next 3 term of sequence.

_________________________________________________________________________________
IV. 2, 5, 10, 17, 26
 Is the sequence is linear or non-linear.

_________________________________________________________________________________

 What is the term to term rule?

_________________________________________________________________________________
  What are the next 3 term of sequence.

_________________________________________________________________________________
V. 1, 3, 6, 10, 15
 Is the sequence is linear or non-linear.

_________________________________________________________________________________

 What is the term to term rule?

_________________________________________________________________________________

 What are the next 3 term of sequence.

_________________________________________________________________________________

Q.No.5: Create Your Own Sequence

 Use the two numbers given to create a sequence.

 Your sequence must include at least one number in between.
 You can use a linear or a non-linear pattern. ✔ Add the same number each
 There are many correct answers — be creative! time (linear)
✔ Multiply by the same
I. Between 2 and 12 number (non-linear)
✔ Mix it up with patterns like
Sequence: ___________________________________________ squares or doubles!
Rule: _______________________________________________

II. Between 5 and 30

Sequence: ___________________________________________
Rule: _______________________________________________

III. Between 10 and 50

Sequence: ___________________________________________
Rule: _______________________________________________

IV. Between 3 and 81

Sequence: ___________________________________________
Rule: _______________________________________________

V. Between 4 and 100

Sequence: ___________________________________________
Rule: _______________________________________________
Challenge:
I. Create a sequence starting at 3 and ending at 21, with at least two stops, using a linear rule.

_______________________________________________________________________________________

Rule: ___________________________

II. Design a non-linear sequence from 1 to 10 with three magical stops, where each step surprises!

_______________________________________________________________________________________

Rule: ___________________________

III. Build a sequence from 7 to 28 with a pattern that doubles each time, including at least one stop.

_______________________________________________________________________________________

Rule: ___________________________

Magic Tip: Use your imagination! A linear sequence moves steadily (like +2, +3), while a non-linear
sequence can leap or twist in unexpected ways (like ×2, +5).

Solve the puzzle:

Fill in the missing numbers in the ‘crossword’ puzzle below so that each entry in a
linear sequence.

Topic 1.2: Understanding Place Value

Q.No.1: Write the following numbers into words:

Sr. Numbers In Words

I.
9017

II.
5005

III.
70801

IV.
90017

V.
60540

Q.No.2: Complete the decomposition one is solve for you.

305469 = 300000 + 5000 + 400 + 60 +9

I. 72054= 70000 + + +4

II. 596783= + + 700 + +3

III. 989461= + 89000 + + 60 +

IV. 107565= 100000 + + 500 + +

V. 310057= + + 50 +

Q.No.3: Salma password is 5-digit number,

 2 is in the ten thousand place
 3 is in the ones place
 4 is in the thousand place
 5 is in the hundred place
 6 is in the tens place
I. Write the Salma password in number: ________________________________________

II. Write the Salma password in word: __________________________________________

 ii.
9 1400
X 20 X 10
÷25 ÷10

X5 X 10
÷4
÷10

320 80 000

X2 ÷01
X 10 ÷10

X 10
X 50 ÷100 ÷10

130 6800
X 25 ÷20
X 10 ÷10

X 10 ÷10
÷5
X4

Q.No.4: Fill the missing number:

 Unit-2: Addition and subtraction
of whole Numbers

Topic 1.1: Understanding Place Value

Using a symbol to represent a missing number or operation

Q.No.1: Write the missing number.

I. 37 + = 100

Example: 85 + = 200
II. + 49 = 87
+100
Method 1: count from 85
+15
III. + 9 + 8 = 28

85 100 200
IV. 14 + + 19 = 63
Method 1: Subtract 85 from 200.

V. 557 + = 841 200 – 85 = 115

VI. + 182 = 343

VII. 56 - = 44

VIII. 146 - = 78

IX. - 8 = 505

X. - 250 = 2303

Q.No.2: Find the missing number if numbers in the two circles add up to the number in
square. One is solve for you.

09

= 16
+

07
 i. ii.

29 12

33

17

iii. iv.

11 547

64

146

v. vi.
79

857 156

250

Challenge:
Question: Put the number 1 to 6 in the circles below, using each number once. Each side of
the triangle should up to 10.
 Topic 1.2: Addition and Subtraction of
whole number

Q.No.1: Here are four digit card.

2 4 6 7

Use all four card to make this calculation correct.

+ = 100

Q.No.2: Write down the number.

Q.No.2: Solve the following:

I. Circle three different numbers that total 750.

50 150 252 350 450

II. Circle three different numbers that total 1,000.

 120 250 400 550 650

III. Circle three different numbers that total 900.

200 300 450 500 600

IV. Circle three different numbers that total 1,200.

150 350 500 650 750

V. Circle three different numbers that total 800

100 200 350 450 500

VI. Circle three different numbers that total 1,050

250 300 400 500 700

Q.No.3: Write the three missing digits to make these addition correct.
Q.No.4: Complete these number walls. If number in each brick is sum of the number on the
two bricks below it.

For Example:
 18 + 11 = 29
60

31 29  13 + 18 = 31

13 18 11  31 + 29 = 60

i. ii.

93 78 55 125 257 215

iii. iv.
247

93 609

97 57 725 402

v. vi.

7854

4150 4974

2810 1950 1364 1516

Q.No.5: Complete the calculations.

i. 2749 + 1568

2749 = 2000 + + +

1568 = + + + 8

+ + + =

ii. 3892 – 1897

3872 = 3000 + + +

1897 = 800

+ + + =
Challenge:
Question: Use the most efficient method you can to complete these calculation.
I. 51 102 + 1648 II. 32 078 + 40 386

III. 51 154 - 21 140 IV. 56 178 - 4 259

 Unit-3: Multiplication, Multiples and Factors

Topic 3.1: Tables, Multiples and factors

Q.No.1: On the hundred square:

 Color all the multiples of 2 with yellow color.

 Color all the multiples of 5 with blue color.
 Color all the multiples of 7 with red color.
 Color all the multiples of 10 with orange color.
Q.No.2: Complete these number walls. If number in each brick is sum of the number on the
two bricks below it.

For Example:
 4 x 3 = 12
4 3 6  3 x 6 = 18

12 18

i. ii.

6 5 7
5 3 2

iii. iv.

7 9 4 6 8

42

v. vi.

3 6 7 5

30 21

Q.No.3: Circle all the numbers:

I. That are not multiples of 3.

3 6 9 12 15 18 21 24 27 30

II. That are not multiples of 7.

7 17 27 37 47 57 67 77 87 97

III. That are not multiples of 9.

9 18 29 36 47 54 68 72 81 90
Q.No.4: Colour any multiples of 7 on the grid.

37 38 39 40

47 48 49 50

57 58 59 60

63 67 68 69

Challenge:
Question-1: Here are four single digit cards.

2 3 4 9
Use each card once to make a total that is a multiple of 7.

+ =

Question-2: Cross out two numbers so that the sum of the remaining numbers in each row
and column is a multiple of 5.

1 2 4 8

5 6 2 3

7 7 1 3

2 6 3 9

Question-3: Shaima is thinking of two different numbers.

They are both factors of 12. The

difference between the two
numbers is 4.

What are Shaima’s number?

______________________________________________________________________________________________________________________________________________________________________________

______________________________________________________________________________________________________________________________________________________________________________

__
 Topic 3.2: Multiplication

Q.No.1: Work out these calculations.

I. 13 x 9 II. 27 x 6

III. 67 x 5 IV. 76 x 8

V. 93 x 7 VI. 58 x 9
Q.No.2: The number in the circles are multiplied together to give the numbers in the
squares between them. Fill in the missing numbers.

I. II.

34
13

3 5 2 7

III. IV.

14
5

3 4
21 3

V. VI.

6 7 5 4
Q.No.3: Solve the following.

i. Ali and Aleena calculate 9 x 2 x 5.

Complete their calculations. Who close the better method?
Ali’s Method Aleena’s Method

9 x 2 x 5 9 x 2 x 5

= x = x

= =

______________________________________________________________________________
______________________________________________________________________________

ii. Hamza and Asjad calculate 7 x 6 x 4.

Complete their calculations. Who close the better method?

Hamza’s Method Asjad’s Method

7 x 6 x 4 7 x 6 x 4

= x = x

= =

______________________________________________________________________________
______________________________________________________________________________

Iii Ali and Amna calculate 9 x 2 x 5.

Complete their calculations. Who close the better method?
Ali’s Method Amna’s Method

9 x 2 x 5 9 x 2 x 5

= x = x

= =

______________________________________________________________________________
______________________________________________________________________________
 Unit-4: Fractions

Topic 4.1: Understanding Fraction

Q.No.1: Write shaded portion as fraction.

Q.No.2: convert these fractions to mixed numbers.

7 14
I. = II. =
5 3

13 19
III. = IV. =
6 4

15 11
V. = VI. =
2 4

Q.No.3: convert these mixed numbers to fractions.

2 3
I. 3 = II. 5 =
5 8

1 2
III. 3 = IV. 6 =
3 7
 5 7
V. 2 = VI. 2 =
8 9

Q.No.4: Amnna has 20 cards.

He gives a quarter of his cards to his friends.
How many cards has Amnna got left?

______________________________________________________________________________

______________________________________________________________________________

Q.No.5: Find the following.

2 7
I. of 27 II. of 81
3 9

4 3
III. of 56 IV. of 48
7 4
Q.No.6: Each number in this number in sequence is a quarter of the number before.

729 243 81

Q.No.7: Divide the rectangle into four parts.

1 1 1 1
The piece must be , , and of rectangle .
2 4 6 12
Shape each with different color.

Q.No.8: solve the following.

I. Ali collected 36 marbles.

1
of them are blue.
6
How many marbles are not blue?

______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________

II. A farmer has 45 apples.

2
of them are spoiled.
9
How many apples are good?
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________

III. Rania bought a box of 96 chocolates.

3
of the chocolates are dark chocolate.
8
How many chocolates are not dark?
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Q.No.8: what are the missing number?