prescribed by national curriculum and textbook board · pdf fileprescribed by national...

Prescribed by National Curriculum and Textbook Board as a Textbook (Bangla version) for Class Two from 2003, English version of the book from academic year 2007.

ELEMENTARY MATHEMATICS

Book Two

Authors / Editors

Dr. Munibur Rahman Chowdhury A.M.M.Ahsanullah Khan Kalimullah Rokeya Begum

Translators Tasneem Athar Sheikh Anwar Hossain

NATIONAL CURRICULUM & TEXTBOOK BOARD, DHAKA

Published by National Curriculum and Textbook Board

69-70, Motijheel Commercial Area, Dhaka-1000.

[All rights reserved by the publisher]Is permitted to print and sell (one thousend)

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Cover & Illustrations:Md. Jalal Uddin

Picture Coloured byAhmed Ullah

Printing Supervision Lana Humayera Khan

DesignNational Curriculum and Textbook Board

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PrefaceFor improving the existing quality of Primary Education in Bangladesh, National Curriculum and Textbook Board (NCTB) in collaboration with PEDP-2 initiated an extensive program for development of curriculum and teaching learning materials in 2002. In the light of this program the curriculum, textbooks and other teaching learning materials of Primary levels have been prepared, revised and evaluated.

The textbook entitled, 'Elementary Mathematics' has been prepared on the basis of attainable competencies for the students of Class Two. The subject matter of the textbook is derived from the basic elements of mathematics following the attainable learning outcomes as depicted in the curriculum. This will facilitate our young learners to know how they can make best use of this knowledge. The contents of the book are analyzed and explained in such a manner with practical examples, illustrations and system of planned activities, that students are inspired to study the subject with a keen interest.

This book is originally published in Bangla. From 2007 NCTB is publishing the English version of the textbook. English is the language of choice in today's globalized world. To facilitate the verbal and written communication skills of our future citizens and suitably prepare them for international competition, we decided to translate the original Bangla textbooks into English. It's pleasant to note that the number of English medium schools in Bangladesh is increasing very fast. In this context NCTB decided to publish all the textbooks of Primary level in English. This was a big endeavour for us. Despite our all efforts the Textbook may not be totally error free. However, in the future editions we shall try to remove all errors and discrepancies.

Finally, I would like to express my heartfelt thanks and gratitude to those who have made their valuable contributions in writing, editing, evaluating and translating this book. I sincerely hope that the book will be useful to those for whom it has been prepared.

Prof. Md. Mostofa Kamaluddin Chairman

National Curriculum and Textbook Board

Dhaka

Lesson Topic Pages

1. Numbers 1-20

Let us see if we can 21-22

2. Place Value 23-25

3. Even Numbers and Odd Numbers 26

4. Comparison of Numbers : Smaller or Greater 27

5. Ascending and Descending Order of Numbers 28

6. Ordinal Numbers 29-30


7. Addition 34-38

8. Subtraction 39-43

9. Relation between Addition & Subtraction 44


10. Multiplication 47-63

11. Division 64-67

Let us see if we can 68

12. Bangladeshi Currency and Note 69-71

13. Fraction 72-74

14. Measurement 75-77

15. Weeks, Days, Months, Seconds 78-81

Minutes, Hours

16. Geometrical Shapes 82-84


CONTENTSCONTENTS

Numbers (51-60)

Count and Read51

Fifty one

52Fifty two

53Fifty three

54Fifty four

55Fifty five

56Fifty six

57Fifty seven

58Fifty eight

59Fifty nine

60Sixty

2 Count and Read

Numbers (61-70)

Count and Read61

Sixty one

62Sixty two

63Sixty three

64Sixty four

65Sixty five

66Sixty six

67Sixty seven

68Sixty eight

69Sixty nine

70Seventy

3Elementary Mathematics

Numbers (71-80)

Count and Read71

Seventy one

72Seventy two

73Seventy three

74Seventy four

75Seventy five

76Seventy six

77Seventy seven

78Seventy eight

79Seventy nine

80Eighty

4 Count and Read

Numbers (81 -90)

Count and Read81

Eighty one

82Eighty two

83Eighty three

84Eighty four

85Eighty five

86Eighty six

87Eighty seven

88Eighty eight

89Eighty nine

90Ninety


Numbers (91-100)

Count and Read91

Ninety one

92Ninety two

93Ninety three

94Ninety four

95Ninety five

96Ninety six

97Ninety seven

98Ninety eight

99Ninety nine

100One Hundred

Numbers (51-60)

Count in Tens and Read51

Fifty one5 tens and 1

5 tens and 2

5 tens and 3

5 tens and 4

5 tens and 5

5 tens and 6

5 tens and 7

5 tens and 8

5 tens and 9

6 tens

52Fifty two

53Fifty three

54Fifty four

55Fifty five

56Fifty six

57Fifty seven

58Fifty eight

59Fifty nine

60Sixty

7Count in Tens and Read

Numbers (61-70)


Sixty one6 tens and 1

6 tens and 2

6 tens and 3

6 tens and 4

6 tens and 5

6 tens and 6

6 tens and 7

6 tens and 8

6 tens and 9

7 tens

62Sixty two

63Sixty three

64Sixty four

65Sixty five

66Sixty six

67Sixty seven

68Sixty eight

69Sixty nine

70Seventy

8 Elementary Mathematics

Numbers (71-80)


Seventy one7 tens and 1

7 tens and 2

7 tens and 3

7 tens and 4

7 tens and 5

7 tens and 6

7 tens and 7

7 tens and 8

7 tens and 9

8 tens

72Seventy two

73Seventy three

74Seventy four

75Seventy five

76Seventy six

77Seventy seven

78Seventy eight

79Seventy nine

80Eighty

9Count in Tens and Read

Numbers (81-90)


Eighty one8 tens and 1

8 tens and 2

8 tens and 3

8 tens and 4

8 tens and 5

8 tens and 6

8 tens and 7

8 tens and 8

8 tens and 9

9 tens

82Eighty two

83Eighty three

84Eighty four

85Eighty five

86Eighty six

87Eighty seven

88Eighty eight

89Eighty nine

90Ninety


Numbers (91-100)


Ninety one9 tens and 1

9 tens and 2

9 tens and 3

9 tens and 4

9 tens and 5

9 tens and 6

9 tens and 7

9 tens and 8

9 tens and 9

10 tens

92Ninety two

93Ninety three

94Ninety four

95Ninety five

96Ninety six

97Ninety seven

98Ninety eight

99Ninety nine

100One Hundred

2 22 42

4 24 44

6 26 46

8 28 48

10 30 50

12 32 52

14 34 54

16 36 56

18 38 58

20 40 60

Count in 2S (2-60)

Count and Read

12 Count and Read

3 33

6 36

9 39

12 42

15 45

18 48

21 51

24 54

27 57

30 60

Count in 3S (3-60)

Count and Read


Count in 4S (4-60)

Count and Read

4 24 44

8 28 48

12 32 52

16 36 56

20 40 60

14 Count and Read

Count in 5S (5-60)

Count and Read

5 25 45

10 30 50

15 35 55

20 40 60


Count in 10S (10-100)

Count and Read10

20

30

40

50

60

70

80

90

100

Read and Write in Figures51 51 68 85

52 69 86

53 70 87

54 71 88

55 72 89

56 73 90

57 74 91

58 75 92

59 76 93

60 77 94

61 78 95

62 79 96

63 80 97

64 81 98

65 82 99

66 83 100

67 84

17Read and Write in Figures

Read and Write in FiguresFifty one 51 Sixty eight Eighty five

Fifty two Sixty nine Eighty six

Fifty three Seventy Eighty seven

Fifty four Seventy one Eighty eight

Fifty five Seventy two Eighty nine

Fifty six Seventy three Ninety

Fifty seven Seventy four Ninety one

Fifty eight Seventy five Ninety two

Fifty nine Seventy six Ninety three

Sixty Seventy seven Ninety four

Sixty one Seventy eight Ninety five

Sixty two Seventy nine Ninety six

Sixty three Eighty Ninety seven

Sixty four Eighty one Ninety eight

Sixty five Eighty two Ninety nine

Sixty six Eighty three One hundred

Sixty seven Eighty four


Read and Write in Figures21 Twenty one Twentyone 41 Forty one

22 Twenty two 42 Forty two

23 Twenty three 43 Forty three

24 Twenty four 44 Forty four

25 Twenty five 45 Forty five

26 Twenty six 46 Forty six

27 Twenty seven 47 Forty seven

28 Twenty eight 48 Forty eight

29 Twenty nine 49 Forty nine

30 Thirty 50 Fifty

31 Thirty one 51 Fifty one

32 Thirty two 52 Fifty two

33 Thirty three 53 Fifty three

34 Thirty four 54 Fifty four

35 Thirty five 55 Fifty five

36 Thirty six 56 Fifty six

37 Thirty seven 57 Fifty seven

38 Thirty eight 58 Fifty eight

39 Thirty nine 59 Fifty nine

40 Forty 60 Sixty

19Read and Write in Figures

Read and Write in Figures61 Sixty one Sixty one 81 Eighty one

62 Sixty two 82 Eighty two

63 Sixty three 83 Eighty three

64 Sixty four 84 Eighty four

65 Sixty five 85 Eighty five

66 Sixty six 86 Eighty six

67 Sixty seven 87 Eighty seven

68 Sixty eight 88 Eighty eight

69 Sixty nine 89 Eighty nine

70 Seventy 90 Ninety

71 Seventy one 91 Ninety one

72 Seventy two 92 Ninety two

73 Seventy three 93 Ninety three

74 Seventy four 94 Ninety four

75 Seventy five 95 Ninety five

76 Seventy six 96 Ninety six

77 Seventy seven 97 Ninety seven

78 Seventy eight 98 Ninety eight

79 Seventy nine 99 Ninety nine

80 Eighty 100 One hundred

Read the Numbers (1-100)

1 2 5 8 4 9 10 3 7 6

15 11 17 14 13 20 12 19 16 18

22 25 21 27 23 28 24 26 30 29

33 38 31 35 39 36 32 40 37 34

48 42 49 45 46 44 47 41 43 50

60 52 57 55 59 51 53 58 56 54

61 69 63 68 70 62 6 6 64 65 67

77 73 76 75 80 79 78 74 72 71

86 83 89 84 90 82 87 85 88 81

91 98 93 97 96 100 99 92 95 94


21Read the Numbers (1-100)

Let us See if We Can 1. Look at the picture, count, read and write the numbers (One is done for you)

2. Read in tens and write down the numbers (One is done for you)

53 5 tens 367 tens 85 tens91 tens 69 tens

78 tens87 tens 64 tens56 tens 99 tens

5 tens 8 58

tens

tens

tens

tens


Let us See if We Can 3. Write in figures from 53 to 80.4. Write in words from 53 to 80. 5. Write in figures from 81 to 100. 6. Write in words from 81 to 100.

7. Write in figuresTwenty one, Twenty seven, Twenty nine, Thirty seven,Forty five, Thirty nine, Forty nine, Fifty six, Fifty nine,

,enin ytneveS ,ruof ytneveS ,eno ythgiE ,owt ytxiS Eighty eight, Sixty nine, Ninety nine, Eighty nine,

.derdnuh enO ,eerht yteniN ,evif yteniN

8. Write in words

26, 30, 23, 34, 40, 42, 37, 47, 51, 49

55, 66, 59, 72, 85, 83, 77, 89, 98, 94.

9. Count and write in 2s from 2 to 58.10. Count and write in 3s from 3 to 39.11. Count and write in 4s from 4 to 48.12. Count and write in 5s from 5 to 55.13. Count and write in 10s from 10 to100.

14. Write in the missing numbers :a) 6, 8, 10,____, ____, 16,____, ____, 22, ____, 26.b) 27, 30, 33, ____, 39,____, ____, 48,____, ____ 57.c) 5, 10,____, ____, 25, ____, 35, ____, ____, ____, 55.d) 10, ____, ____, 40, ____, ____ 70, ____ , ____ 100.

,

, ,

Place Value

tens

1 tens 0 ones1 tens

1 0

0 ones 0

10

3

6

20

0

0

100

10

1 tens

3 ones

1 tens

6 ones

2 tens

0 ones

0 tens1 hundred

1 3

2

1 0 0

6

1 tens 3 ones1 tens 3

2 tens 6 ones2 tens 6

10

13

26

100

ones

tens ones

tens

hundred tens ones

1 hundred 0 tens 0 ones1 hundred

ones

24 Place Value

Look at the Pictures, Count and Write the Figures in the Boxes(Two are Done for You)

tens ones tens ones

tens ones tens ones

tens ones tens ones

tens ones tens ones

37 64


Write the Place Value (One is done for you)

4 7

7 ones4 tens

6 3 7 1

2 9 3 8

9 0 1 0 0

5 9

740

Even Numbers and Odd Numbers

Even Numbers (51-100)

52 54 56 58 6062 64 66 68 7072 74 76 78 8082 84 86 88 9092 94 96 98 100

Write the even numbers

Odd numbers (51-100)

52, 55, 60, 63, 66

58, 67, 68, 78, 79

75, 87, 91, 80, 82

Look at: 1, 3, 5, 7 or 9 are in the ones of the odd numbers. Write the odd Numbers

51, 53, 56, 62, 6360, 65, 68, 77, 7967, 76, 72, 81, 84

51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99

Note : 0, 2, 4, 6 or 8 are in the ones of the even numbers.

Comparison of NumbersGreater or Smaller

20 + 1 = 21 ∴ 21 is greater than 20

Note: If the digits of tens are same in two-digit numbers.Then the number with larger digit at ones greater.

Note: Between two numbers with two digits, the number having the greater digit in tens is greater.

22, 2522 = 2 tens and 2 25 = 2 tens and 5

∴25 is greater and 22 is smaller

37, 3437 = 3 tens and 734 = 3 tens and 4

∴ 37 is greater and 34 is smaller

40, 3040 = 4 tens 30 = 3 tens


38, 4038 = 3 tens and 840 = 4 tens


38, 48

38 = 3 tens and 8

48 = 4 tens and 8

∴ 48 is greater and 38 is smaller 47, 81

81 = 8 tens and 1

47 = 4 tens and 7


43, 39

43 = 4 tens and 3

39 = 3 tens and 9

∴43 is greater and 39 is smaller 99, 100

99 + 1 = 100


∴ Therefore

Greater or Smaller

28 Comparison of Numbers

Find Out if the Number is Greater or Smaller(One is Done for You)

Arrange in Ascending Order Descending(Two examples are given)

24, 28 28 is greater 24 is smaller27, 22 greater smaller

45, 52 smaller greater


78, 88 greater smaller


91, 99 greater smaller

Number From small to large From large to small 21, 31, 25, 27, 28 21, 25, 27, 28, 31 31, 28, 27, 25, 21

42, 50, 36, 43, 57 36, 42, 43, 50, 57 57, 50, 43, 42, 36

60, 65, 72, 68, 51

58, 63, 72, 49, 75

23, 38, 53, 40, 81

99, 92, 78, 84, 95

Write the missing numbers:a)21, --- , 23, 24, --- , 26b)28, ---, ---, 31, 32, ---, 34c) 65, ---, ----, 62, ---, ----, 59d)93, ---, 95, ---, ----, 98e) 40, 39, ---, 37, ---, 35, 34.

Ordinal NumbersRead and Write

Eleventh Sixteenth

Twelfth SeventeenthThirteenth Eighteenth

Fourteenth Nineteenth

Fifteenth Twentieth

Write the missing ordinal numbers in order Eleventh, -------, thirteenth, ------, fifteenth, ------, seventeenth,

fourteenth, ------, sixteenth, ------, eighteenth, -------, twentieth,

tenth, ------, twelfth, ------, fourteenth, ------, sixteenth,

fifteenth, --------, seventeenth, ----------, nineteenth, ---------.

Writing ordinal numbers in short

First 1st Sixth 6th Eleventh 11th Sixteenth 16th

Second 2nd Seventh 7th Twelfth 12th Seventeenth 17th

Third 3rd Eighth 8th Thirteenth 13th Eighteenth 18th

Fourth 4th Ninth 9th Fourteenth 14th Nineteenth 19th

Fifth 5th Tenth 10th Fifteenth 15th Twentieth 20th

30 Ordinal Numbers

The marks obtained by 20 students of Class I in mathematics are given below

Name Marks obtained PositionDavid 99 1stMadhuri 73Nabila 75Kanai 97Badal 98Putin 78Sitara 80Shahana 82Habul 76Suren 79Hanif 90Asad 92Shova 88Kanak 85Nikhil 94Tuli 93Ajoy 86Bakul 91Nita 95Rita 87

a) Write down the position of each student starting from the highest marks obtained. Use ordinal numbers to show their positions.

b) Write down the names of the students who have obtained 11th , 12th, 14th, 17th, 19th positions.

31Let us See if We Can

Let us See if We Can1. Look at the picture, count, read and write the numbers (One is done for you)

6 tens 3 63

tens

tens

tens

2. Count and write the numbers from 51 to 70.3. Count and write the numbers from 74 to 100.4. Read and write the following numbers in tens 56, 65, 68, 70, 73, 79, 82, 87, 89, 91, 99, 100.5. Fill in the blanks 5 tens and 5 6 tens and 9 7 tens and 1 7 tens and 7 8 tens 8 tens and 8 9 tens and 3 9 tens and 6 10 tens 6. Count and write in 2s from 2 to 327. Count and write in 3s from 3 to 45

32 Let us See if We Can

Let us See if We Can

8. Write the missing numbers a) 32, 34, ---, 38, 40, ---, ---,46,---,---, 52 b) 16, 20, ----, 28, ---, ----, 40, ---, 48, ----, 56 c) 20, 25, ----, ----, 40, 50, ----, ----, 659. Write in figures Twenty five, Forty, Twenty nine, Forty nine, Forty seven Fifty three, Sixty eight, Fifty nine, Seventy nine, Seventy. 10. Write in words 37, 58, 73, 69, 79, 90, 85, 87, 89, 91, 99, 100.

11. Look at the picture, count and write the number in the given box.

tens ones tens ones

2 7 5 9

a) b)

a) b)

12. Write down the place value


Let Us See if We Can

13. Look at the given pairs of numbers and write down which is greater/smaller 14, 18; 28, 38; 40, 50; 56, 66; 80, 79; 87, 81; 81, 91; 99, 100.14. Put a tick ( ) mark against each even number 50, 53, 66, 68, 77, 80, 85, 91, 93, 94, 99, 100.15. Put a tick ( ) mark against each odd number 61, 52, 63, 73, 72, 79, 80, 82, 87, 92, 91, 95.16. Put a tick ( ) mark against the set of numbers which are arranged in descending order (highest to lowest) a) 45, 55, 50, 65; b) 45, 65, 55, 50; c) 65, 55, 50, 45; d) 55,45, 65, 50.17. Arrange the given numbers in ascending order (from smaller to greater) a) 20, 25, 21, 28 b) 37, 31, 34, 36, 39 c) 60, 67, 61, 69, 7018. Arrange the given numbers in descending order (from greater to smaller) a) 37, 31, 34, 36, 39 b) 85, 80, 87, 84, 82 c) 47, 70, 56, 81, 98

34Addition (Without Carrying)

Addition (Without Carrying)

61 + 5 =

71 + 7 =

88 + 0 =

79 + 0 =

38 + 41 =

45 + 44 =

60 + 19 =

89 + 10 =

25 + 4 2925 + 4 = 29

2 tens 5 + 4 2tens 9=29

44 +13

5744 + 13 = 57

4 tens 4 +1 tens 3 5 tens 7 = 57

52 +7 59

76 + 0 76

63 +25

88

80 +10

90

26 + 2

32 + 6

53 + 3

66 + 0

36 + 42

55 + 31

40 + 39

68 + 20

35 + 3 = 38 61 + 6 = 67 72 + 5 = 7742 + 23 = 65 53 + 16 = 69 74 + 24 = 98

28 + 0 2828 + 0 = 28

2 tens 8 + 0 2 tens 8 = 28

53 +30

8353 + 30 = 83

5 tens 3 + 3 tens 0 8 tens 3 = 83

35Addition (With Carrying)

Addition (With Carrying)

47 + 9 56

38 + 7 45

25 + 6

61 + 9

76 + 6

94 + 6

43 + 9

84 + 8

66 + 8 74

79 + 5 84

78 + 7 = 85 69 + 9 = 78

59 + 4 =

46 + 9 =

77 + 5 =

85 + 6 =

86 + 7 =

4 tens 7 + 9

3 tens 8 + 7

3 tens 15

4 tens 16

= 5 tens 6

= 56

= 4 tens 5 = 45


Addition (With Carrying)

46 + 34 =25 + 55 =52 + 39 =58 + 29 =49 + 49 =

26 + 48 = 7461 + 19 = 80

68 72 55+22 +19 +38

29 35 62 +28 +27 +28

49 +26 75

36 +18 54

27 +15 42

58 +37 95

3 tens 6 + 1 tens 84 tens 14

= 5 tens 4 = 54

2 tens 7 + 1 tens 53 tens 12

= 4 tens 2 = 42


Problems on Addition (Two are Done for You)

1. There are 47 boys in section A and 53 girls in section B of class one. Altogether how many students are there in class one ? Number of boys in section-A 47 Number of girls is section-B + 53 Total number of students = (47 + 53) 100 = 100 Answer: 100 students 2. Runu got 3 ten-taka notes from her father and 25 taka from her mother on Eid-day. How much did she get in total? She got 3 ten taka notes from father = Tk. 30 From mother she got = Tk. 25 In total she got (30 + 25) taka = Tk. 55 Answer : Tk. 55

3. Masud bought a pair of pigeons for Tk. 35 from the market and other things for Tk. 42. How much taka did he spend in all?4. There are 30 players in Mohamedan team and 32 players in Abahani team. Altogether how many players are there in the two teams?

38 Problems on Addition

Let Us See If We Can

5. Raju bought a ball for Tk. 42 and a bat for Tk. 45. How much

money did he spend altogether?

6. There were 75 lichis and 25 mangoes in a basket. How many fruits

were there in the basket?

7. There are 45 students in section-A and 49 students in section-B of

a class. How many students are there in all?

8. In a school library there are 55 story books and 36 text books. In

total, how many books are there in the library?

9. There are 42 rose-plants and 48 beli plants in Labonee's garden.

How many plants are there in the garden?

10. Hena has 36 hens and 23 ducks. How many fowls does she have

altogether?

11. There are 27 green coconuts in one bunch and 29 green coconuts in

another. How many green coconuts are there?

12. Saju got 5 ten-taka notes from his mother and Taka 40 from his

elder sister on his birthday. How much money did he get on his

birthday?


Subtraction (without Carrying)

27 -3 24

27-3 = 24

2 tens 7 - 3 2 tens 4 = 24

38 - 5 33

47 - 0 47

59 -35 24

45 - 11 34

45 -11 = 34 = 34

4 tens 5 -1 ten 13 tens 4

57 - 11 46

45 - 0 45

63 - 21 42

78 - 30 48

58 - 4

69 - 6

75 - 3

57 - 24

57 - 46

56 - 4

76 - 5 = 57 - 2 =

68 - 5

72 - 0

85 - 51

92 - 60

78 - 40

89 - 58

5 tens 9-3 tens 52 tens 4 =24

3 tens 8 - 5 3 tens 3 = 33

4 tens 7 - 0 4 tens 7 = 47

40 Subtraction

Subtraction (With Carrying)

55 - 8

76 - 8

9 0 - 3

74 - 8 =

82 - 9 =

34 - 6

40 - 5

63 - 3

45 - 7 =

64 -5 =

61 - 5 56

57 - 8 49

75 - 6 69

30 - 5 = 25

43 - 7 = 36

84 -9 = 75

53 - 9 44

5 tens 3 - 9

4 tens 13 - 9 4 tens 4 = 4453 - 9 = 44

32 - 7 25

3 tens 2 - 7

2 tens 5 - 8 1 tens 7 = 17

(2+1) tens 2 - 7

2 tens 12 - 7 2 tens 5 = 2532 7 = 25

25 - 8 17

25 - 8 = 17


53 - 48

70 -54

95 -69

33 - 17

55 - 38

62 - 47

45 - 26 =

50 -25 =

84 - 57 =

54 - 28

26

61 - 39 22

72 - 35 37

85 - 67 18

41- 28 = 13 93 - 47 = 46

75 - 37 38

7 tens 2 - 3 tens 7

6 tens 15 - 3 tens 7 3 tens 8 = 3875 37 = 38

52 - 37 15

5 tens 2 -3 tens 7

4 tens 3 1 tens 9 2 tens 4 = 24

(4+1) tens 2 - 3 tens 7

4 tens 12 - 3 tens 7 1 tens 5 = 15

52 - 37 = 15

43 -19

24

43 -19 = 24

Subtraction (With Carrying)

Problems on Subtraction1. Hasan got 8 ten-taka notes on his birthday. He gave 3 ten-taka

notes to his sister. How much money did he have with him?

Hasan got 8 notes of ten-taka

Hasan gave 3 notes of ten-taka

∴ Number of notes remained with Hasan (8-3)= 5

5 notes of ten-taka = 50 taka

∴ Hasan had 50 taka

Answer: 50 taka

2. Rumi's father is 64 years old. His mother is 59 years old. How

older is Rumi's father than his mother?

Father's age 64 years

Mother's age 59 years

difference is, 64 - 59 = 5 years

∴ Father's age is 5 years more than his mother.

Answer: 5 years more.

3. Hasu went to market with Tk. 95. He spent Tk. 67. How much

money was left with him?

4. Raju has 77 postal stamps. Robi has 58 stamps. How many more

stamps does Raju have than Robi?

42 Subtraction


Problems on Subtraction

5. Manu is 7 years older than Mimi. Manu is 15 years old.

How old is Mimi?

6. Mala's paternal uncle is 9 years older than Mala's maternal

uncle. Mala's paternal uncle is 38 years old. How old is Mala's

maternal uncle?

7. Jhumu's tuition fee is Tk. 55. Kumu's tuition fee is Tk. 60. How

much more does Kumu have to pay than Jhumu?

8. The total age of mother and daughter is 62 years. If the mother's

age is 45 years, what is the daughter's age?

9. The price of a lungi and vest is Tk. 92. The price of the vest is

Tk. 23. What is the price of the lungi?

10. The total age of father and son is 80 years. The age of the son is

21 years. How old is the father?

11. Ruby had 7 ten-taka notes. He gave 2 ten taka notes to Chabi.

How much money was left with Ruby?

12. Tuku has 6 ten-taka notes. Khuku has 4 ten-taka notes. How

much more money does Tuku have?

44 Addition and Subtraction

Relation of Addition and Subtraction

7 + 5 = 12

12 - 5 = 7

5 + 7 = 12

12 -7 = 5

7 12

5 12

+5

+7

-7

-5

5 + 3 = 8

8 + 9 = 17

17 - 8 = 9 17 - 9 = 8

8 - 5 = 3 8 - 3 = 5

45Let Us See If We Can

Let us see if we can

2. Find the sum :

40 + 59 = ............................ 46 + 30 = ............................

49 + 39 = ............................ 60 + 19 = ............................

52 + 29 =............................ 62 + 28 = ............................

18 + 77 = ............................ 21 + 79 = ............................

52 5

73 6

38 8

46 9

68 20

70 24

46 18

47 33

55 25

61 19

17 77

28 60

1. Add

55 45

84 32

79 72

98 54

72 34

87 62

40 31

52 27

61 49

48 29

95 16

81 14

3. Subtract

46 Let Us See If We Can


4. Subtract 53 � 33 = ............................ 78 � 40 = .......................... 66 � 24 = .......................... 88 � 38 =.......................... 75 � 26 =.......................... 80 � 49 = .......................... 82 � 39 = .......................... 91 � 53 = ..........................

5. Fill in the blanks

9 + = 14 30 + = 70

+ 5 = 14 63 + = 73

+ 23 = 49 + 53 = 83

6. Fill in the blanks

16 + 28 = + 34 = 52

44 � 28 = 52 � 18 =

44 � 16 = 52 � 34 =

41 + = 80 55 + = 90

80 � 39 = 90 � = 35

80 � 41 = 90 � = 55

7. What is the sum of 5 ten-taka notes and 2 ten-taka notes?

Concept of Multiplication

3 times 2 equal to 6



4 x 4 = 16 4 x 4 = 4 + 4 + 4 + 4 =16

3 x 2 = 6 3 x 2 = 3+3 = 6

2 x 3 = 6 2 x 3 = 2+2+2= 6

Multiplication Sign X


Concept of Multiplication

2 x 5 = -------

3 x 5 = -------

5 x 3 = ------- 5 x 3 = 5+5+5=------

3 x 5 = 3+3+3+3+3=------

2 x 5 = 2+2+2+2+2=------

Multiplication Table of 1

1 x 1 1

1 x 2 2

1 x 3 3

1 x 4 4

1 x 5 5

1 x 6 6

1 x 7 7

1 x 8 8

1 x 9 9

1 x 10 10

Table of Multiplication



2 x 1 2

2 x 2 4

2 x 3 6

2 x 4 8

2 x 5 10

2 x 6 12

2 x 7 14

2 x 8 16

2 x 9 18

2 x 10 20

51Concept of Multiplication


3 x 1 3

3 x 2 6

3 x 3 9

3 x 4 12

3 x 5 15

3 x 6 18

3 x 7 21

3 x 8 24

3 x 9 27

3 x 10 30



4 x 1 4

4 x 2 8

4 x 3 12

4 x 4 16

4 x 5 20

4 x 6 24

4 x 7 28

4 x 8 32

4 x 9 36

4 x 10 40



5 x 1 5

5 x 2 10

5 x 3 15

5 x 4 20

5 x 5 25

5 x 6 30

5 x 7 35

5 x 8 40

5x 9 45

5 x 10 50


MultiplicationTable of 6

6 x 1 6

6 x 2 12

6 x 3 18

6 x 4 24

6 x 5 30

6 x 6 36

6 x 7 42

6 x 8 48

6 x 9 54

6 x 10 60



7 x 1 7

7 x 2 14

7 x 3 21

7 x 4 28

7 x 5 35

7 x 6 42

7 x 7 49

7 x 8 56

7 x 9 63

7 x 10 70



8 x 1 8

8 x 2 16

8 x 3 24

8 x 4 32

8 x 5 40

8 x 6 48

8 x 7 56

8 x 8 64

8 x 9 72

8 x 10 80



9 x 1 9

9 x 2 18

9 x 3 27

9 x 4 36

9 x 5 45

9 x 6 54

9 x 7 63

9 x 8 72

9 x 9 81

9 x 10 90



10 x 1 10

10 x 2 20

10 x 3 30

10 x 4 40

10 x 5 50

10 x 6 60

10 x 7 70

10 x 8 80

10 x 9 90

10 x 10 100


Multiplication Table

x 1 2 3 4 5 6 7 8 9 10

1 1 2 3 4 5 6 7 8 9 10

2 2 4 6 8 10 12 14 16 18 20

3 3 6 9 12 15 18 21 24 27 30

4 4 8 12 16 20 24 28 32 36 40

5 5 10 15 20 25 30 35 40 45 50

6 6 12 18 24 30 36 42 48 54 60

7 7 14 21 28 35 42 49 56 63 70

8 8 16 24 32 40 48 56 64 72 80

9 9 18 27 36 45 54 63 72 81 90

10 10 20 30 40 50 60 70 80 90 100


Commutative Law of Multiplication

4 x 3 = 12

3 x 4 = 12

8 x 5 = = 40

= 4 x 9 = 36

= 6 x 7 = 42

9 x 8 = = 72

7 x 3 = 3 x 7 = 21

3 x 8 = 24

4 x 7 = 28

7 x 9 = 63

8 x 3 = 24

7 x 4 = 28

9 x 7 = 63

8 x 3 = 3 x 8

7 x 4 = 4 x 7

9 x 7 = 7 x 9

Fill in the gaps using commutative law of multiplication

8 x 6 = 6 x 8 = 48


Multiply

6 x 5 30

8 x 3 24

5 x 7 35

9 x 2 18

5 x 6

4 x 7

6 x 8

7 x 7

8 x 4

9 x 3

8 x 5

9 x 6

7 x 9

9 x 9

11 x 8

22 x 4

33 x 2

23 x 2

23 x 3

44 x 2

34 x 2

43 x 2

33 x 3

24 x 2

42 x 2

32 x 3

12 x 2 = 24

11 x 3 =

15 x 1 =

12 x 4 =

11 x 6 =

13 x 2 =

12 x 3 =

13 x 3 = 39 14 x 2 = 28


Multiplication of Zero

2 x 3 = 6

1 x 3 = 3

0 x 3 = 0

0 x 1 = 0 0 x 2 =0

3 x 2 = 63 x 1 = 3 3 x 0 = 0

2 x 0 = 0

1 x 0 =

4 x 0 = 0

0 x 0 = 0

8 x 0 = 0

5 x 2 = 10 5 x 1 = 5 5 x 0 = 0

0 x 4 = 0 0 x 5 =0

0 x 7 = 0 0 x 9 =0

6 x 0 = 7 x 0 =


Problems on Multiplication

1. The price of one note book is Taka 4. What is the price of 3 note books? Answer: Tk. 122. There are two wheels of a bullock cart. How many wheels are there in 5 bullock carts? Answer: 10 wheels 3. Six persons sit in a row of a minibus. How many persons can sit in 3 rows?4. There are 12 mangoes in a basket. How many mangoes are there in 5 baskets? 5. 5 persons can be seated in a car. How many persons can sit in 6 such cars?6. There are 6 benches in a class. 6 pupils can sit on a bench. How many pupils can sit in total in the class?7. The price of one pair of pigeon is Tk. 24. What is the price of 2 pairs of pigeons?8. There are 10 sweets in a packet. Rumi bought 7 packets of sweets. How many sweets did he buy?9. There are 10 cows in Panu's cow-shed. Each cow gives 4 litres of milk. How much milk do the cows give in total?10. The price of a pencil is Tk. 6. How much would 10 pencils cost?

4 x3 12

5 x2 10

4

2

6

3 3

2

4 - 2 = 2

6 2 = 3

Division Sign

Concept of Division

65Concept of Division

12

3 3

Fill in the boxes

3 3

12 - 4 =3

15 - 5 =

18 - 3 =


Divide

16 2 = How much?

2 X How much? = 16

2 X 8 = 16

16 2 = 8

2)16(8160

12 3 = How much?

3 X How much? = 12

3 X 4 = 12

12 3 = 4

3) 12 (4120

20 4 = How much? 4 X How much? = 20

4 X 5 = 20

20 4 = 5

4) 20 (5200

6)36(

9)45(

7)49(

5)30(

4)32(

5)35(

6)48(

8)40(

15 5 =

18 6 =

21 7 =

27 9 =

32 8 =

63 9 =

56 7 =

67Concept of Division

Problems on Division

1. 8 mangoes are equally divided between two persons. How many mangoes does each person get? 8 2 = 4 Answer : 4 mangoes.

2. 24 sweets are equally divided among 4 persons. How many sweets does each person get? 24 4 = 6 Answer: 6 Sweets.

3. Tk.24 is divided equally among 3 persons. How much money does each person get?

4. 35 marbles are divided equally among 7 persons. How many marbles does each person get?

5. If 5 persons can sit on a bench, how many benches will be needed for 45 persons?

6. The cost of 8 eggs is Tk. 24. What is the cost of one egg?

7. 6 eggs can be put in one basket. How many baskets will be required for 48 eggs?

8. There are 8 students in a team. How many teams can be formed with 72 students?

9. 7 students are taken in each team. In how many teams 49 students can be divided?

10. 40 Lichis are equally divided among 8 persons. How many lichis does each person get?

68 Let us see if we can

Let us see if we can

3. 5 persons can sit in a car. How many persons can sit in 7 cars?

4. The price of one book is Tk. 24. What is the cost of 4 books?

5. The price of one pair of chicken is Tk 44. What is the cost of two

pairs of chicken?

6. There are 22 mangoes in a basket. How many mangoes are there in

4 baskets?

7. 36 marbles are equally divided among 4 persons. How many

marbles does each person get?

8. The price of 6 mangoes is Tk. 54. What is the cost of 1 mango?

9. Grandmother divided Tk. 32 equally among 8 grandchildren. How

much money did each grandchild get?

10. The price of 9 bananas is Tk. 36. What is the price of one banana?

11. The price of each mango is Tk. 5. How many mangoes can be

bought for 40 taka?

12. 6 persons can sit on one bench. How many benches will be

required for 42 persons?

1. Write the product:

2 x 4 = 2 x 7 = 3 x 5 =

13 x 3 = 6 x 0 = 7 x 3 =

14 x 2 = 8 x10 = 9 x 8 =

2. Write the quotients.

12 4 = 14 7 = 20 5 =

21 3 = 32 4 = 27 9 =

30 5 = 56 8 = 40 8 =

Bangladeshi Currency and Notes

1 Paisa

Taka 1

Taka 1

Taka 5 Taka 5

Taka 2

5 Pasia 10 Paisa 25 Paisa 50 Paisa

70 Bangladeshi Currency and Notes

Bangladeshi Notes

Taka 10 Taka 10

Taka 20 Taka 20

Taka 50 Taka 50

Taka 100 Taka 100

71Bangladeshi Currency and Notes

Bangladeshi Currency and Notes

Concept of Fractions

One Stick

One Sheet of paper

One bread

One water-melon One water-melon isdivided into two equal

parts

One water-melon isdivided into four

equal parts

One bread is dividedinto two equal parts

One bread is dividedinto four equal parts

One sheet of paper isdivided into two equal

parts

One sheet of paperis divided into four

equal parts

A stick is dividedinto two equal parts

A stick is dividedinto four equal parts

73Concept of Fractions

Reading and writing Fractions

Comparison of Fraction

One of two equalparts or

Half

One of four equal parts or

one-fourth

1 2

1 4

1 2

1 2

1 2

1 4

1 4

Write in Number

Write in words

1

1 Large Small

1 2

Large 1 4

Small

One fourth = Half of half


Look at each picture and match the fraction by drawing a line

1 2

1 4


Measuring Length{

Inch

0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5

1 centimetre

12 cm.

cm

cm.

cm. cm.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

12

34

5

Unit of length measurement : Metre 1 metre = 100 centimetre or 100 cm.

0 1 2 3 4 5 6 7 8 9 10 11 12


Measuring weight

5 gm 10 gm 20 gm 50 gm

10 gm 10 gm 5 gm

5 gm20 gm

20 gm

20 gm

50 gm

25 gm

100 gm

50 gm

50 gm 20 gm 20 gm 10 gm

50 gm

10 gm 10 gm 5 gm 5 gm

20 gm 10 gm

100 gm

Unit of weight measurement: gram (gm.)


Measuring Volume of Liquid

1 litter

Half litter

Half litter

Volume of liquid Unit of measurement : litter

1 litter


Days and WeekThe seven days of a week

On which day of the week is your school remain closed?

Which day comes after Saturday?

Which days comes before and after Wednesday?

Which days comes before and after Monday?

Friday

Saturday

Sunday

MondayTuesday

Wednesday

Thursday


Twelve Months of the Bangla Calendar

Baishakh

Jaisthya

Ashar

Sraban

Bhadra

Ausheen

Kartik

Augrahayon

Poush

Magh

Falgoon

Chaitra

Baishakh is the first month

of the Bangla calendar

and

Chaitra is the last.


Twelve Months of the English Calendar

January

February

March

April

May

June

July

August

September

October

November

December

January is the first

month of English calendar

and

December is the last


Relations among second, minute, hour, day, week, month and year

60 seconds make 1 minute 7 days make 1 week

60 minutes make 1 hour 30 days make 1 month

24 hours make 1 day 12 months make 1 year

Fill in the blanks

Match by drawing lines

1 month = days 60 minutes = hour7 days = week1 day = hours1 year = months1 minute = seconds 30 days = months

30 days 1 minute

1 hour 1 week

60 seconds 12 months

7 days 60 minutes

1 year 1 month

Geometrical Shapes

Round

Cubic

Cone

Cylinder

83Geometrical Shapes

Geometrical ShapesMatch each shape to the corresponding picture by drawing line.

Sphere

Cone

Cubic

Cylinder


Geometrical Shapes

Quadrangle Square Triangle Circle

Circle

Triangle

Square

Quadrangle

Match the picture to the corresponding name by drawing a line



1. How many 10 paisa coins is equal to a 50 paisa coin?

2. (a) How many 50 paisa coins is equal to 1 taka?

(b) How many 25 paisa coins is equal to 1 taka?

(c) How many 5 paisa coins is equal to 1 taka?

3. Mimi bought a candy for 25 paisa. She gave a 1 taka note to the

shopkeeper. How much money did the shopkeeper return her?

Taka 1 100 paisa

Price of a candy 25 paisa

Return 75 paisa

Answer: 75 Paisa.

4. The price of a white envelop is 30 paisa. If you give a 1taka note

for 3 envelops, then how much money will be returned to you?

5. The price of one marble is 20 paisa. What will be the price of 4

marbles?

100

-25

75

=



6. The price of a pencil is Tk. 4 and a note book is Tk. 10. A person

buys one pencil and one note book. He gives a 20 taka note to the

shopkeeper. How much money does the shopkeeper return him?

7. Keya went to market with Tk. 50 and spent Tk. 39. How much

money did she have left?

8. The price of 1 banana is Tk. 2. A persons buys 15 bananas. He

gives a 50 taka note to the shopkeeper. How much money does the

shopkeeper return him?

9. Halima sold 2 green-coconuts at the rate of Tk. 8 each. She is

given a 50 taka note. How much change will she have to give?

10. Momotaz bought books worth Tk. 47. She gave one 20 taka note

and three 10 taka notes to the shopkeeper. How much money did

the shopkeeper return her?

11. How many 5 taka notes and one 20 taka note will be equal to 60

taka?

12. Write in fractions and show by drawing picture?

Half, one-fourth.



13. Write in words :

14. a) How many 50 gm-weight are equal to a 100 gm-weight?

b) How many 20 gm-weight are equal to a 100 gm-weight?

c) How many 10 gm-weight are equal to a 100 gm-weight?

15. a) What is the name of the first month of Bangla calendar?

b) What is the name of the last month of English calendar?

c) Which month comes before March?

d) Which month comes after Sraban?

e) Which month comes before June?

f) Which month comes before Augrahayon?

16. a) Write down the names of the Bangla months starting from

Sraban to Magh.

b) Write down the names of the English months from April to

November.

17. Tell and write the names of the shapes.

18. Tell and write the names of the following:

14

12

,

19. Tushi and Lucy have Tk.93 in all. Tushi has Tk.7 more than Lucy.

How much money do each of them have?

Solution: If taka 7 is subtracted from the total amount both of them

will have equal amount.

(93 - 7) taka = 86 taka

Lucy's money = Tk. (86 2)

= Tk. 43

Tushi's money = Tk. (43 +7)

= Tk. 50

Answer: Tushi has Tk. 50, Lucy has Tk. 43.

20. The total price of three ball pens and four note books is Tk. 76.

The price of a ball pen is Tk. 4. What is the price of one note book?

21. Rita and Maya have 90 marbles altogether. Rita has 4 marbles less

than Maya. How many marbles do each of them have?


Let us see if we can (One is done for you)

2) 86 (438

660

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