Mathematics Grade: Primary Volume 2 (Mathematics Grade: Primary (Lower Grades))
 9798639796463, 9798491230426

  • 0 0 0
  • Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up
File loading please wait...
Citation preview

Copyright © 2021, October 6 by Hassan A. Shoukr All rights reserved. This book or any portion thereof may not be reproduced or used in any manner whatsoever without the express written permission of the author except for the use of brief quotations in a book review. ASIN: B087KSQY8L ISBN: 979-8-63979-646-3 ISBN: 979-8-49123-042-6 ISBN: 979-8-49300-846-7

‫ ﺑﺎﻟﮭﯿﺌﺔ اﻟﻌﺎﻣﺔ ﻟﻠﻜﺘﺎب‬13259 \ 2000 ‫رﻗﻢ اﻹﯾﺪاع‬ 3078‫ﺗﺮﺧﯿﺺ وزارة اﻟﺘﺮﺑﯿﺔ و اﻟﺘﻌﻠﯿﻢ ﺑﻤﺼﺮ رﻗﻢ‬

Dear parent, teacher, and student, The series of Mathematics Genius for Lower Grades is based on several principles: 1-

Mathematics is the queen of other sciences, i.e. all science has a certain amount of mathematics.

2-

Therefore, it must be accessible to all students and with different abilities, attitudes and inclinations...

Based on the previous principles, we did all of the following: 1) The mathematics genius series for primary

stage (Lower Grades) explains in details each topic of the book in simple, new and easy ways with solved examples followed by graduated exercises. Our strategy is analysis then construction, we analyze the mathematics topic into its initial blocks (small lessons); then we build every two blocks then every three and so on until the topic is finally built in a pyramid form from all its apparent aspects.

2) The mathematics genius series is built on using

the colors well to help the reader to understand quickly every part. III

Genius Student 1 Volume 2

3) In addition to, the dictionary of new terms and

words in the course at the end of the book. We did it in English-Arabic

4) In the end of the book, there are five self-tests

as a bank of problems to measure the abilities of self-analysis and self-assessment.

5) After self-Test, there are ten Exam Style

Papers to ensure the capabilities of using the different skills in the books.

Mathematics Genius 1 Volume 2 has the topics: the numbers from 11 up to 99, units(once) and tens, order of numbers up to 99, addition of 2-digit numbers, families of 2-digit numbers, subtraction of 2-digit numbers, fractions (half and quarter), and geometric shapes and solids. We are pleased to know your opinion and observations about the book with our correspondence Hassan A. Shoukr

IV

Contents Subject

Page

Arithmetic

1

I- The Numbers From 11 up to 99

2



The numbers from 11 up to 19

2



Twenties up to nineties

11

II- Units and Tens

29



Units

29



Tens

31



Applicactions

34

Perfect tens

34

III- Order of Numbers up to 99

37





The signs < , > or =

37



Arrangement

50

IV- Addition of 2-digit Numbers

89



Adding without carrying up

89



Applications

96



Different types of problems

96



Word problems

104

V- Families of 2-digit Numbers

107



Families in terms of units and tens

107



Families of perfect tens in terms of perfect tens

115 V

Genius Student 1 Volume 2



Applications

122

Different types of problems

122

VI- Subtraction of 2-digit Numbers

129





Subtracting without borrowing

129



Applications

136



Different types of problems

136



Word problems

154

VII- Fractions ( half , quarter )

159

♠ Half

159

♠ Qaurter

161

Geometry VIII- Gemetric Shapes And Solids



Solids

169

170 170



Cuboid , cube and cone

170



Cylinder , pyramid and ball

177

Shapes

185

IX - Self-Tests

195

Exam Style Papers

241

Mathematical Terms

261



VI

Darling… We will be making “mathematics” your toy.

Hassan A. Shoukr

Genius Student 1 Volume 2

Remember dear parents, teachers all my notes are directed for you

The Numbers from 11 up to 99 The Numbers From 11 Up To 19

Speak up your voice during writing

The number



11









Writing is 11





Meaning is eleven things Reading is eleven

eleven









The number



12









Writing is 12









Meaning is twelve things Reading is twelve

twelve











… 2

Chapter1: The Numbers from 11 to 99

The number



13





Writing is 13









Meaning is thiteen things Reading is thirteen

thirteen









The number



14









Writing is 14









Meaning is fourteen things Reading is fourteen

fourteen









The number



15









Writing is 15









Meaning is fifteen things Reading is fifteen

fifteen











… 3

Genius Student 1 Volume 2

The number

♠ 16





Writing is 16









Meaning is sixteen things Reading is sixteen

sixteen









The number

♠ 17









Writing is 17









Meaning is seventeen things Reading is seventeen

seventeen









The number

♠ 18









Writing is 18









Meaning is eighteen things Reading is eighteen

eighteen











… 4

Chapter1: The Numbers from 11 to 99

The number





19



Writing is 19









Meaning is nineteen things Reading is nineteen

nineteen













Well, dear pupil … you must keep the above numbers very well in letters and in digits and come to see the following type of problems:



Example 1: Write in letters i)

13



Do you remember?

13

ii)

18

Solution

You note adding “teen” in the end of the number.

18

..thirteen..



..eighteen..

Exercise 1: A- Write in letters: i)

11



ii)

14



iii)

9



iv)

12



v)

19



vi)

7

… 5

Genius Student 1 Volume 2

vii)

17



viii) 10



ix)

8



x)



18

B- Write each of the following group in letters: xi)

5,

15,

11,

7

xii)

18,

10,

12,

17

xiii)

14,

16,

2,

13

xiv)

6,

19,

4,

11



Well, darling … come to see the following type:

Example 2: Write in digits i)

twelve



nineteen



Solution

Do you remember?

twelve

ii)

..12..

nineteen

..19..

6

Chapter1: The Numbers from 11 to 99

Exercise 2: A- Write in digits: i)

four



ii)

twelve



iii)

fourteen



iv)

six



v)

ten



vi)

fifteen



vii)

eleven



viii) eighteen



ix)

thirteen



x)



seven

B- Write each of the following groups in digits: xi)

ten,

seventeen,

eleven,

thirteen

xii)

five,

twelve,

sixteen,

eighteen

xiii)

one,

nine,

nineteen,

fourteen

xiv)

six,

eight,

fifteen,

sixteen

xv)

nineteen,

two,

three,

eighteen

7

Genius Student 1 Volume 2

Well, darling … come to understand the following type of problems.



Example 3: Complete the missing: …

15



11

ten



nineteen



Solution ..10.. ten

15

..19..

11

..fifteen.. nineteen ..eleven..

Exercise 3: Complete: i)

ii)

iii)



12



16



five



eighteen



two

13



19



3



seven



eight





17



18



fourteen



three



one 8

Chapter1: The Numbers from 11 to 99

iv)



11



16



Fifteen



six



nine



19



17



Thirteen



five



eight

v)

Well, darling … come to see the following type:



Example 4: Choose the correct answer: i)

“12”

Pay attention: “can be read as” = “in letters” and “can be written as” = “in digits”

can be read as 12,

ii)

…… twelve,

“eleven” can be written as

Determine the right answer then write it.

“12”

11,

eleven,

thirteen …… 18

Solution can be read as 12,

..twelve.. twelve,

“eleven” can be written as 11,

eleven,

thirteen ..11.. 18

9

Genius Student 1 Volume 2

Exercise 4: A- Choose the correct answer: i)

“10”

can be read as

……

ten, ii)

Seventeen can be written as seven,

iii)

10,

“19”

iv)

can be read as

“16”

eighteen, eight,

can be read as

eighteen ……

6,

Thirteen can be written as 3,

nineteen ……

16, vi)

17 ……

Eighteen can be written as 18,

v)

……

seventeen,

19,

nine

13,

sixteen …… thirteen

B- Complete: vii) viii) ix) x)

“11”

can be read as

Sixteen can be written as “15”

can be read as

Nineteen can be written as

…… …… …… ……

10

Chapter 1: The Numbers from 11 to 99

You must keep these numbers very well by writing and by reading

Twenties up to Nineties

Well, darling … come to learn how to read and to write twenties up to nineties. 

Twenties

Come … can you help me to complete? 20

can be read as

..twenty..

21

can be read as

..twenty-one..

22

can be read as

…………

23

can be read as

…………

24

can be read as

…………

25

can be read as

…………

26

can be read as

…………

27

can be read as

…………

28

can be read as

…………

29

can be read as

…………

11

Genius Student 1 Volume 2



Thirties

You will be noticed we add at the end the part “ty”

Come … can you help me to complete?



30

can be read as

..thirty..

31

can be read as

..thirty-one..

32

can be read as

..………

33

can be read as

..………

34

can be read as

..………

35

can be read as

..………

36

can be read as

..………

37

can be read as

..………

38

can be read as

..………

39

can be read as

..………

Forties

Come … can you help me to complete? 40

can be read as

..forty..

41

can be read as

..forty-one..

42

can be read as

…………

43

can be read as

………… 12

Chapter 1: The Numbers from 11 to 99



44

can be read as

…………

45

can be read as

…………

46

can be read as

…………

47

can be read as

…………

48

can be read as

…………

49

can be read as

…………

Fifties

Come … can you help me to complete? 50

can be read as

..fifty..

51

can be read as

..………

52

can be read as

..………

53

can be read as

..………

54

can be read as

..………

55

can be read as

..………

56

can be read as

..………

57

can be read as

..………

58

can be read as

..………

59

can be read as

..……… 13

Genius Student 1 Volume 2



Sixties

Come … can you help me to complete?



60

can be read as

..sixty..

61

can be read as

.…………

62

can be read as

…………

63

can be read as

…………

64

can be read as

…………

65

can be read as

…………

66

can be read as

…………

67

can be read as

…………

68

can be read as

…………

69

can be read as

…………

Seventies

Come … can you help me to complete? 70

can be read as

..seventy..

71

can be read as

..……….

72

can be read as

..………

73

can be read as

..……… 14

Chapter 1: The Numbers from 11 to 99



74

can be read as

..………

75

can be read as

..………

76

can be read as

..………

77

can be read as

..………

78

can be read as

..………

79

can be read as

..………

Eighties

Come … can you help me to complete? 80

can be read as

..eighty..

81

can be read as

..………..

82

can be read as

…………

83

can be read as

…………

84

can be read as

…………

85

can be read as

…………

86

can be read as

…………

87

can be read as

…………

88

can be read as

…………

89

can be read as

………… 15

Genius Student 1 Volume 2



Nineties

The number after 99 is 100 and it can be read as “hundred”

Come … can you help me to complete? 90

can be read as

..ninety..

91

can be read as

..……….

92

can be read as

..………

93

can be read as

..………

94

can be read as

..………

95

can be read as

..………

96

can be read as

..………

97

can be read as

..………

98

can be read as

..………

99

can be read as

..………

Now, can you complete without help?



0

0

2 5 7

16

Chapter 1: The Numbers from 11 to 99

10

10 15 18

20

22 25 27

30

33 35 37

40 45

17

Genius Student 1 Volume 2

50 55

60 65

70 75

80 85

18

Chapter 1: The Numbers from 11 to 99

90 95

Well, dear pupil … you must keep the above numbers very well in letters and in digits and come to understand he following type of problems.



Example 5:

Sometimes we say: “write in language”

Write in letters i)

25

Remember how write in letters

25

ii)

....

67

....

Solution

to

67

..twenty-five..

..sixty-seven..

Exercise 5: A- Write in letters i)

81

....

ii)

49

....

iii)

90

....

iv)

17

....

v)

99

....

vi)

80

.... 19

Genius Student 1 Volume 2

vii)

15

....

viii) 6

....

ix)

42

....

x)

18

....

xi)

53

....

xii)

28

....

xiii) 60

....

xiv) 72

....

xv)

77

....

xvi) 55

....

xvii) 11

....

xviii) 94

....

xix) 33

....

xx)

61

....

xxi) 46

....

xxii) 35

....

xxiii) 54

....

xxiv) 43

....

xxv) 87

....

xxvi) 76

....

20

Chapter 1: The Numbers from 11 to 99

B- Write each of the following group in letters: i)

11,

91,

80

ii)

49,

53,

71

iii)

33,

25,

7

iv)

64,

46,

9

v)

55,

15,

5

vi)

30,

13,

31

vii)

82,

9,

18

viii)

27,

70,

17

21

Genius Student 1 Volume 1

Well, dear pupil … come to understand the following type.



Example 6: Write in digits i)

Thirty-one

ii)

....

Ninety-seven

....

Solution

Thirty-one

..31..

Ninety-seven

..97..

Exercise 6: A- Write in digits: i)

Thirty-one

....

ii)

Thirty-five

....

iii)

Fifty-five

....

iv)

fifty-seven

....

v)

Sixty-nine

....

vi)

Eighty

....

vii)

Eighty-four

....

viii) Nineteen

....

ix)

Seventy

....

x)

Seven

....

xi)

Forty-one

....

xii)

Sixty-six

....

xiii) Twenty-eight ....

xiv) Twenty-seven ....

xv)

xvi) Fifty

....

xviii) Nine

....

Ninety-three ....

xvii) Forty-six

....

22

Chapter 1: The Numbers from 11 to 99

B- Write each of the following group in digits xix)

Eighty-one,

Forty-seven,

Ninety

xx)

Fifty,

Nineteen,

Seventy-two

xxi)

Forty-eight,

Sixty-six,

Sixteen

xxii)

Ten,

Fourteen,

Seventy-one

xxiii)

Thirty-three,

Forty-four,

Eighty-eight

xxiv)

Twenty,

Twelve,

Two

xxv)

Fifty-nine,

Seventy-four,

Eighty

xxvi)

Eighteen,

Eighty-one,

Seventeen

23

Genius Student 1 Volume 1

Well, darling … come to see the following type of problems.



Example 7: Complete the missing ....

64

....

18

Twenty-one

....

Fifty-eight

....

Solution ..21..

64

..58..

18

Twenty-one

..sixty-four..

Fifty-eight

..eighteen..

Exercise 7: Complete the missing i)

ii)

iii)

….

41

....

73

Seventeen

....

Fifty-nine

….

19

91

….

....





Twelve

Eight





15



Eighty

Eighteen



Fifteen

24

Chapter 1: The Numbers from 11 to 99

iv)

v)

vi)

vii)

viii)

ix)

x)

20



40

19



Sixty







45



99

Thirty-two



Sixty-six











Two

Seventeen

Seventy

Three

28

69

79

82











50



85

Eleven



Ten



70

17









Seven

Sixteen





37

23

Eighty

Fifty-nine





25

Genius Student 1 Volume 1

Come dear pupil … to understand the following type of problems



Example 8: Complete i) ii)

51

can be read as

Forty-seven can be written as

.... ....

Solution 51

can be read as

Forty-seven can be written as

..fifty-one.. ..47..

Exercise 8: A- Complete i) ii) iii) iv)

65

can be read as

Fifty-seven can be written as 91

can be read as

Eighty-three can be written as

v)

66

vi)

Nineteen

vii)

27

viii)

Seventy

.... .... .... ....

can be read as

....

can be written as

....

can be read as

....

can be written as

....

26

Chapter 1: The Numbers from 11 to 99

ix) x)

88

can be read as

Seventy-seven can be written as

.... ....

B- Choose the correct answer i)

Ninety-one 19,

ii)

16 Sixty,

iii)

68 Sixty-eight,

v)

Fifty-four 45,

vi)

91, can be read as Sixty-one,

Twenty-seven can be written as 27,

iv)

can be written as

37

72, can be read as Eighty-six, can be written as 54, can be read as

Seventy-three, Thirty-seven, vii)

Sixty-two 602,

can be written as 26,

.... 90 .... Sixteen .... 20 .... Sixty .... 504 .... Thirteen .... 62

27

Genius Student 1 Volume 1

Draw Something You love here:

28

Chapter 2: Units (Ones) and Tens

Dear parents … teachers all my notes and explanations are directed for you

Units and Tens

Pay attention “units” with “s” means the place of the digit

Units

Look, dear pupil … come to understand how to know the units digit. The units digit is the Can you help me to complete?

right digit

The units digit in “45” is ..5.. The units digit in “83” is ..3.. The units digit in “27” is ……… The units digit in “90” is ……… The units digit in “57” is ……… The units digit in “72” is ……… The units digit in “61” is ……… The units digit in “19” is ……… The units digit in “34” is ……… The units digit in “6” is ……… The units digit in “8” is ……… The units digit in “1” is ………

Note that the 1digit number is always is units digit.

Genius Student 1 Volume 2

Well, darling … come to see the following type of problems.



Example 9: Write the units digit in each of the following: i)

28

80

....

80

..0..

Solution

Remember the units digit on the right

28

ii)

....

..8..

Exercise 9: Write the units digit in each of the following: i)

27

....

ii)

77

....

iii)

88

....

iv)

92

....

v)

16

....

vi)

70

....

vii)

8

....

viii)

4

....

ix)

45

....

x)

31

....

xi)

10

....

xii)

1

....



Darling … come to see the following type

Example 10: Circle the units digit in the following group of numbers i)

5 6 , 11 , 73 ,

5 , 10

30

Solution 5 6 , 11 , 73 ,

5 , 10

Exercise 10: Circle the units digit in each the of following groups of numbers: i)

16 , 88 ,

3 , 20 , 37 , 5 7

ii)

52 , 23 ,

6 , 12 , 66 , 8 1

iii)

7 , 18 , 17 ,

4 , 11 , 6 3

iv)

4 0 , 71 , 33 , 21 , 19 ,

v)

38 ,

0

1 , 89 , 45 , 80 , 9 0

Tens Well, dear pupil … come to understand how to know the tens digit. We will use the abbreviation of tens “T”

The tens digit is the left digit

We will use the abbreviation of units “U”

Remember the units digit is the right digit

31

Genius Student 1 Volume 2

Can you help me to complete? The tens digit in “45” is ..4.. The tens digit in “83” is ..8.. The tens digit in “27” is ……… The tens digit in “90” is ……… The tens digit in “57” is ……… The tens digit in “72” is ……… The tens digit in “61” is ……… The tens digit in “19” is ……… The tens digit in “34” is ……… The tens digit in “9” is ……… The tens digit in “5” is ……… The tens digit in “4” is ………

Note that the 1-digit number is always is units digit and its tens is 0

Well, darling … come to see the following type of problems.



Example 11: Write the tens digit in each of the following: i)

34

....

ii)

7

....

32

Solution

Remember the units digit on the right

34

7

..3..

..0..

Exercise 11: Write the tens digit in each of the following: i)

27

....

ii)

77

....

iii)

88

....

iv)

92

....

v)

16

....

vi)

70

....

vii)

8

....

viii)

4

....

ix)

45

....

x)

31

....

xi)

10

....

xii)

1

....



Darling … come to see the following type

Example 12: Circle the tens digit in the following group of numbers i)

5 6 , 11 , 73 ,

5 , 10

Solution 5 6 , 11 , 73 ,

5 , 10

33

Genius Student 1 Volume 2

Exercise 12: Circle the tens digit in each the following group of numbers: i)

16 , 88 ,

3 , 20 , 37 , 5 7

ii)

52 , 23 ,

6 , 12 , 66 , 8 1

iii)

7 , 18 , 17 ,

4 , 11 , 6 3

iv)

4 0 , 71 , 33 , 21 , 19 ,

v)

38 ,

0

1 , 89 , 45 , 80 , 9 0

Applications on Units and Tens Perfect Tens Well, darling … come to know and understand the perfect tens.

Defn: The perfect tens is a number whose units is “0” For example: 10 , 20 , 30 , … and so on

34

Well, come to see the following type of problems: Example 13: Circle the perfect tens in the following group: 2 3 , 4 0 , 60 , 2 8 , 7 3 , 30 Remember the perfect tens whose units is 0

Solution

2 3 , 4 0 , 6 0 , 2 8 , 73 , 30 Exercise 13: Circle the perfect tens in each of the following groups: i)

1 2 , 65 , 9 0 , 8 3 , 2 0 , 50

ii)

2 0 , 25 , 7 8 , 1 0 , 7 0 , 90

iii)

3 1 , 80 , 5 0 , 6 0 , 9 0 , 75

iv)

7 0 , 10 , 9 1 , 9 3 , 5 5 , 91

v)

8 0 , 35 , 3 0 , 7 0 , 7 3 , 62

vi)

2 8 , 76 , 2 0 , 8 0 , 9 2 , 80

vii)

9 0 , 23 , 7 0 , 5 4 , 8 0 , 63

viii)

5 0 , 71 , 9 1 , 7 2 , 3 0 , 35

ix)

6 2 , 50 , 3 2 , 6 0 , 7 0 , 17

35

Genius Student 1 Volume 2

Draw Something you love here:

36

Order of Numbers up to 99 Dear parents … teachers all my notes and explanations are directed for you

The signs < , > or =

Well, darling … comes to learn how arrange the numbers from 0 to 99. Dear pupil, … pay attention 1) The number that comes before is smaller than (less than) the number that comes after 0





3











So, we say: 3 is less than 9 or 3 < 9

9

2) and the number that comes after is greater than the number that comes before 10

14 … … … … 19 So, 19 is greater than 14 or 19 > 14







3) So you must keep the numbers from 0 to 99 on your mind as the following

Genius Student 1 Volume 2

Can you help me to complete? 0

9 11

18 22

27 33

36 44

45

54

55

63

66

72

77

81

88

90

99

Well, dear pupil … come to understand the following type



Example 14: i) Circle the greatest ii) Circle the greatest number in the following number in the following group: group: 9 , 18 , 75 , 34 Pay attention If the tens digits are different the greatest number has the greatest tens digit.

9 , 18 , 75 , 34

45 , 48 , 41 , 47 Solution

If the tens digits are equal then, the greatest has the greatest units digits

45 , 48 , 41 , 47 38

Chapter 3: Order of Numbers up to 99

Exercise 14: A- Circle the greatest number in each of the following groups: i)

45 , 78 , 27 , 91 , 60

ii)

65 , 34 , 72 , 61 , 83

iii)

eighty-one , 73 , sixty-seven , 45 , 72

iv)

85 , ninety , 34 , 61 , seventy-six

v)

forty-seven , fifty , 56 , 78 , 12

vi)

8 , 83 , seventy-nine , 28 , thirty-five

vii)

fifty-six , thirty-eight , 58 , seven , 63

viii) 78 , seventy-one , 72 , 76 , seventy-seven ix)

sixty-six , 64 , 68 , 69 , sixty

x)

81 , 86 , eighty-six , eighty-nine , 83

B- Complete: xi)

The greatest number in “45 , 28 , 56” is ....

xii)

The greatest number in “55 , 22 , 76” is ....

xiii) The greatest number in “25 , 28 , 26” is .... xiv) The greatest number in “75 , 78 , 71” is ....

39

Genius Student 1 Volume 2

xv) The greatest number in “sixty-four , 62 , fortyfive” is .... xvi) The greatest number in “25 , fifty , eighty-nine” is .... xvii) The greatest number in “ninety , seventy , twenty-five” is .... xviii) The greatest number in “65 , thirty-five , fiftythree” is .... xix) The greatest number in “35 , 38 , 31” is .... xx) The greatest number in “forty , forty-three , fortyseven” is .... C- Choose the correct answer: xxi) The greatest number in “85 , 78 , 46” is .... [ eighty-five,

78,

46 ]

xxii) The greatest number in “fifty , fifty-four , fiftynine” is .... [ 50,

54,

59 ]

xxiii) The greatest number in “60 , 6 , 63” is .... [ sixty,

Sixty-three,

six ]

40

Chapter 3: Order of Numbers up to 99

xxiv) The greatest number in “53, fifty-eight, 56” is .... [ 85,

56 ]

Fifty-three,

xxv) The greatest number in “seventy-seven , 72 , seventy” is .... [ 70,

77 ]

Seventy-two,

xxvi) The greatest number in “ninety-five, 58, 85” is ... [ fifty-eight,

85 ]

95,

xxvii) The greatest number in “61 , 68 , 64” is .... [ sixty-one,

Sixty-eight,

Sixty-four ]

D- Put the suitable sign (√) or (X) xxviii) is 46.

The greatest number in “64 , 38 , 46”

( )

xxix) The greatest number in “fifty , five , fifty-four” is 54. ( ) xxx) is 66.

The greatest number in “65 , 67 , 66”

( )

xxxi) The greatest number in “95 , eighty , fifty-six” is 95 ( ) xxxii) The greatest number in “seventy-two , 38 , 75” is seventy-five ( ) 41

Genius Student 1 Volume 2

xxxiii) is eighty

The greatest number in “80 , 88 , 86”

( )

xxxiv) The greatest number in “65 , sixty-one , sixty-four” is 65 ( ) xxxv) The greatest number in “20 , twenty-five , twenty-nine” is 25 ( ) xxxvi) The greatest number in “72 , 78 , 70” is seventy-eight ( ) xxxvii) The greatest number in “sixty-four , eighty-three , 75” is 64 ( ) Well, dear pupil … come to understand the following type.



Example 15: Circle the smallest i) Circle the smallest ii) number in the following number in the following group: group: 45 , 48 , 41 , 47 9 , 18 , 75 , 34 Pay attention If the tens digits are different the smallest number has the smallest tens digit.

9 , 18 , 75 , 34

Solution

If the tens digits are equal then, the smallest has the smallest units digits

45 , 48 , 41 , 47

42

Chapter 3: Order of Numbers up to 99

Exercise 15: A- Circle the smallest number in each of the following groups: i)

45 , 78 , 27 , 91 , 60

ii)

65 , 34 , 72 , 61 , 83

iii)

eighty-one , 73 , sixty-seven , 45 , 72

iv)

85 , ninety , 34 , 61 , seventy-six

v)

forty-seven , fifty , 56 , 78 , 12

vi)

8 , 83 , seventy-nine , 28 , thirty-five

vii)

fifty-six , thirty-eight , 58 , seven , 63

viii) 78 , seventy-one , 72 , 76 , seventy-seven ix)

sixty-six , 64 , 68 , 69 , sixty

x)

81 , 86 , eighty-six , eighty-nine , 83

B- Complete: xi)

The smallest number in “45 , 28 , 56” is ....

xii)

The smallest number in “55 , 22 , 76” is ....

xiii) The smallest number in “25 , 28 , 26” is .... xiv) The smallest number in “75 , 78 , 71” is ....

43

Genius Student 1 Volume 2

xv) The smallest number in “sixty-four , 62 , fortyfive” is .... xvi) The smallest number in “25, fifty, eighty-nine” is…. xvii) The smallest number in “ninety, seventy, twentyfive” is .... xviii) The smallest number in “65, thirty-five, fiftythree” is .... xix) The smallest number in “35, 38, 31” is .... xx) The smallest number in “forty, forty-three, fortyseven” is .... C- Choose the correct answer: xxi) The smallest number in “85, 78, 46” is .... [ eighty-five,

78,

46 ]

xxii) The smallest number in “fifty, fifty-four, fiftynine” is .... [ 50,

54,

59 ]

xxiii) The smallest number in “60, 6, 63” is .... [ sixty,

Sixty-three,

six ]

44

Chapter 3: Order of Numbers up to 99

xxiv) The smallest number in “53, fifty-eight, 56” is .... [ 85,

56 ]

Fifty-three,

xxv) The smallest number in “seventy-seven, 72, seventy” is .... [ 70,

77 ]

Seventy-two,

xxvi) The smallest number in “ninety-five, 58, 85” is… [ fifty-eight,

85 ]

95,

xxvii) The smallest number in “61, 68, 64” is .... [ sixty-one,

Sixty-eight,

Sixty-four ]

D- Put the suitable sign (√) or (X) xxviii) The smallest number in “64, 38, 46” is 46. ( ) xxix) The smallest number in “fifty, five, fiftyfour” is 54. ( ) xxx) The smallest number in “65, 67, 66” is 66.

( )

xxxi) The smallest number in “95, eighty, fiftysix” is 95 ( ) xxxii) The smallest number in “seventy-two, 38, 75” is seventy-five ( ) xxxiii) eighty

The smallest number in “80, 88, 86” is

( ) 45

Genius Student 1 Volume 2

xxxiv) The smallest number in “65, sixty-one, sixty-four” is 65 ( ) xxxv) The smallest number in “20, twenty-five, twenty-nine” is 25 ( ) xxxvi) The smallest number in “72, 78, 70” is seventy-eight ( ) xxxvii) The smallest number in “sixty-four, eighty-three, 75” is 64 ( ) Dear pupil … come to see the following type.



Example 16: Complete using < , > or =: i)

78

59

Do you remember? If the tens digits are different then greatest that’s the greatest tens digit.

78

>

ii) Solution

59

82

85

Do you remember? If the tens digits are equal then greatest which’s the greatest units digit.

82


or =: i)

12

71

ii)

38

83

iii)

9

31

iv)

90

90 46

Chapter 3: Order the Numbers up to 99

v)

43

84

vi)

54

54

vii)

57

51

viii)

27

72

ix)

28

25

x)

19

91

B- Choose the correct answer: xi)

10

18

[ =,

>,

< ]

xii)

45

54

[ ,

= ]

xiii)

52

50

[ >,

,

< ]

xvii)

39

35

[ ,

= ]

xviii) 26

26

[ >,

,

83

( )

xxv)

=

46

( ) xxvi) 72




81

( ) xxx)




17

iv)




8

71

viii) x)

= >

28

11

=

48

Chapter 3: Order the Numbers up to 99

xi) xiii)

< 29

xii)

54

xiv)

=

xv)

>

xvii) 82


85

10




xviii) 46




9

=

ii)

2 4 8

iv) vi)

0 9

< >

5 7 49

Genius Student 1 Volume 3

vii)

2

ix) xi)

2 1

xiii) xv)

>

0

9




xviii) 3

3




viii) x)

7

= 7

xvii) xix)




8 2

Arrangement Well, dear pupils … also come to understand the following types of problems on arrangement. Example 19: Complete: i) The number that just ii) The number that just comes before 49 is .. comes after 49 is … Remember “just .. before” means subtracting “1”

Solution

Remember “just .. after” means adding “1”

The number that just The number that just comes before 49 is ..48.. comes after 49 is ..50.. -1

+1

50

Chapter 3: Order the Numbers up to 99

Exercise 19: A- Complete i)

The number that just comes before 39 is ....

ii)

The number that just comes after 72 is ....

iii)

The number that just comes before 81 is ....

iv)

The number that just comes after 19 is ....

v)

The number that just comes before 70 is ....

vi)

The number that just comes after 63 is ....

vii)

The number that just comes before 75 is ....

viii) The number that just comes after 29 is .... ix)

The number that just comes before 99 is ....

x)

The number that just comes after 78 is ....

xi)

The number that just comes before 47 is ....

xii)

The number that just comes after 18 is ....

B- Choose the correct answer: xiii) The number that just comes before 15 is .... a) 15

b) 17

c) 16

51

Genius Student 1 Volume 3

xiv) The number that just comes after 80 is .... a) Eighty-one

xv)

b) seventy-nine c) eighty

The number that just comes before 21 is .... a) Twenty

b) twenty-one

c) twenty-two

xvi) The number that just comes after fifty-four is .... a) 54

b) 55

c) 53

xvii) The number that just comes before 38 is .... a) Thirty-nine

b) thirty-seven c) thirty-eight

xviii) The number that just comes after thirty-three is… a) 33

b) 34

c) 32

xix) The number that just comes before 99 is .... a) 99

xx)

b) 98

c) 97

The number that just comes after sixty-two is .... a) 62

b) 63

c) 61

xxi) The number that just comes before 88 is .... a) Eighty-eight b) eighty-nine

c) eighty-seven

C- Put the suitable sign (√) or (X): xxii) The number that just comes before 69 is 70 ( )

52

Chapter 3: Order the Numbers up to 99

xxiii) The number that just comes after 79 is seventy-eight ( ) xxiv) The number that just comes before thirtyfive is 34 ( ) xxv) The number that just comes after 31 is thirty ( ) xxvi) The number that just comes before 82 is 82 ( ) xxvii) The number that just comes after ninetyeight is 99 ( ) xxviii) The number that just comes before 11 is ten ( ) xxix) The number that just comes after fifty-one is fifty ( ) xxx) The number that just comes before 25 is twenty-four ( ) xxxi) The number that just comes after 83 is eighty-two ( ) xxxii) The number that just comes before twentynine is 30 ( ) xxxiii) The number that just comes after 91 is 90 ( )

53

Genius Student 1 Volume 2

Darling … come to see the following type of problems ( just … before ).



Example 20: Complete i) ....

29 just comes before ii) 60 If the space is the second with “before” then, we add “1”

.... just comes before

Solution

If the space is the first with “before” then, we subtract “1”

29 just comes before ..30.. ..59.. just comes before 60 +1

1-

Exercise 20: A- Complete i) ii)

just comes before 28

iii) iv) v) vi) vii)

just comes before just comes before

91

11

just comes before just comes before

79

54

18

just comes before just comes before

85

54

Chapter 3: Order of numbers up to 99

viii)

89

ix) x)

just comes before just comes before

59

70

just comes before

B- Write the number that just comes before each of the following: xi)

, 45

xii)

, 17

xiii)

, 10

xiv)

, 28

xv)

, 90

xvi)

, 18

xvii)

, 30

xviii)

, 48

xix)

,5

xx)

, 37

xxi)

, 87

xxii)

,1

xxiii)

, 12

xxiv)

, 84

xxv)

, 27

Dear pupil … come to see the following type of problems ( tens or units )



Example 21: Complete i)

2 9 just comes before 3 Remember if the space is the second with “before” then, we add “1”

Solution

2 9 just comes before 3 0 +1 55

Genius Student 1 Volume 2

Exercise 21: Complete i)

2 8 just comes before 2

ii)

4 just comes before 5 5

iii)

7 2 just comes before

iv)

8

v)

4 9 just comes before 5

vi)

just comes before 9 0

5 just comes before 7 6

vii)

4 2 just comes before

viii)

1

ix)

3 7 just comes before 3

x) xi)

3

3

just comes before 1 2

8 just comes before 4 9 5 1 just comes before

2

Well, dear pupil … come to see the following type of problems ( tens in a side and units in other side ).



Example 22: Complete i)

6 just comes before 4

56

Chapter 3: Order of numbers up to 99

Write the tens “4” as it

Solution

Remember if the space is the second with “before” then, we add “1”

4 6 just comes before 4 7 +1 Exercise 22: Complete i) ii)

5 just comes before 3 7

iii) iv)

6

9

5

just comes before

9

just comes before

6

2 just comes before 7 1

xi) xii)

8

7 just comes before 5

ix) x)

just comes before 1 just comes before 4

vii) viii)

7

3 just comes before 1

v) vi)

just comes before

just comes before

8

4 just comes before 5 3

just comes before

7

57

Genius Student 1 Volume 2

Come to see the following type of problems ( one tens in a side and one units in other side – device of units 9 or 0 -).



Example 23: Complete i)

9 just comes before 5

ii)

3

just comes before

The units is “0” on the right and “9” on the left

0

Solution

4 9 just comes before 5 0 6 9 just comes before 7 0

If the units on the right is “9”we subtract “1” from the tens “5” to become “4”. But if the units on the left is “0” we add ‘1” to the tens “6” to become “7”

Exercise 23: Complete i) ii)

9 just comes before 3 7

iii) iv)

0

9 just comes before 1 6

v) vi)

just comes before

just comes before

0

9 just comes before 4 9

just comes before

0

58

Chapter 3: Order of numbers up to 99

vii) viii)

9 just comes before 5 5

ix) x)

just comes before

0

9 just comes before 7 1

xi)

just comes before

0

9 just comes before 8

Darling … come to see the following type of problems ( just … after ).



Example 24: Complete i) ....

50 just comes after ii) 69 If the space is the second with “after” then, we subtract “1”

.... just comes after

Solution

If the space is the first with “after” then, we add “1”

50 just comes after ..49..

..70.. just comes after 69

-1

1+

Exercise 24: A- Complete i) ii)

just comes after 18

94

just comes after

59

Genius Student 1 Volume 2

iii) iv)

just comes after 61

v) vi) vii) viii)

89

xi) xii)

80

75

just comes after just comes before

71

Do you remember before?

just comes after just comes before

29

78

just comes after just comes before

ix) x)

just comes after just comes after

73

10

35

just comes after

B- Write the number that just comes after each of the following: xiii) 45 ,

xiv) 71 ,

xv)

xvi) 18 ,

xvii) 98 ,

xviii) 53 ,

xix) 20 ,

xx)

10 ,

xxi) 70 ,

xxii) 80 ,

xxiii) 11 ,

xxiv) 19 ,

xxv) 21 ,

xxvi) 60 ,

xxvii)6 ,

xxviii)50 ,

xxix) 45 ,

xxx) 76 ,

49 ,

60

Chapter 3: Order of numbers up to 99

Dear pupil … come to see the following type of problems ( tens or units )



Example 25: Complete i)

5 4

just comes after 5

Remember if the space is the second with “after” then, we subtract “1”

5 4

Solution

just comes after 5 3 -1

Exercise 25: Complete i)

3 4

just comes after 3

ii)

8

iii)

8 7

just comes after

iv)

7

just comes after 7 0

v)

6 9

just comes after 6

vi)

5

vii)

3 5

viii)

2

just comes after 5 7 6

just comes after 7 4 just comes after

4

just comes before 2 8

Do you remember “ before”?

61

Genius Student 1 Volume 2

ix)

3 7

x)

just comes after 3

8 just comes before 4 9

xi)

6 1

xii)

1

just comes after

0

just comes before 1 3

Well, dear pupil … come to see the following type of problems ( tens in a side and units in other side ).



Example 26: Complete i)

8

just comes after 3

Write the tens “4” as it

3 8

Solution

Remember if the space is the second with “after” then, we subtract “1”

just comes after 3 7 -1

Exercise 26: Complete i) ii)

3 8

iii) iv)

just comes after 1

6

just comes after 2 7

just comes after 6 just comes after

5 62

Chapter 3: Order of numbers up to 99

v)

2

vi)

9

vii) viii)

x)

just comes after 7

5

ix)

just comes after 7

just comes after 5 just comes before

2 1

9

6

just comes after 7 just comes before

8

Come to see the following type of problems (one tens in a side and one units in other side – device of units 9 or 0 -).



Example 27: Complete i) ii)

0 2

just comes after 7 just comes after

The units is “9” on the right and “0” on the left

9

Solution

8 0

just comes after 7 9

2 0

just comes after 1 9

If the units on the left is “0”we add “1” to the tens “7” to become “8”. But if the units on the right is “9” we subtract ‘1” from the tens “2” to become “1”

63

Genius Student 1 Volume 2

Exercise 27: Complete i) ii)

0 7

iii) iv)

vi)

6

9

just comes after 4 just comes after

5

9

just comes after

9

9 just comes before 7 1

xi) xii)

9

9 just comes before 5

ix) x)

9

just comes after 1 just comes after

0

vii) viii)

just comes after 0

v)

just comes after 3

just comes after

9

9 just comes before 4 7

just comes after

9

Well, … come to see the following type of problems.



Example 28: Complete i)

The number that comes between 35 and 37 is 64

Chapter 3: Order of numbers up to 99

We add “1” on the smallest then ‘35” becomes “36”

Solution

Or we subtract “1” from the greatest then ‘37” becomes “36”

The number that comes between 35 and 37 is 36 Exercise 28: A- Complete i)

The number that comes between 21 and 23 is

ii)

The number that comes between 45 and 47 is

iii)

The number that comes between 91 and 93 is

iv)

The number that comes between 20 and 22 is

v)

The number that comes between 73 and 75 is

vi)

The number that comes between 59 and 61 is

vii)

The number that comes between 28 and 30 is

viii) The number that comes between 78 and 80 is ix)

The number that comes between 67 and 65 is

x)

The number that comes between 25 and 23 is

B- Write the number that comes between each of the following xi)

25 ,

, 27

xii)

10 ,

, 12

65

Genius Student 1 Volume 2

xiii)

19 ,

, 21

xiv)

11 ,

, 13

xv)

29 ,

, 31

xvi)

2,

,4

C- Complete the missing number that comes between xvii)

8


> 43

xix)

12


> 25

xxi)

81


> 96

Well, darling … come to see the following type of problems ( consecutive numbers with before)



Example 29: Complete i) The two consecutive numbers that come before 23 are , Here is “before” so we Solution

subtract “1” from “23” to get the first “22” and subtracting “2” from “23” to get the second “21”

The two consecutive numbers that come before 23 are 21 , 22 Exercise 29: Complete i) The two consecutive numbers that come before 15 are ,

66

Chapter 3: Order of Numbers up to 99

ii) The three consecutive numbers that come before 75 are , , iii) The two consecutive numbers that come before 81 are , iv) The four consecutive numbers that come before 90 are , , , v) The three consecutive numbers that come before 20 are , , vi) The two consecutive numbers that come before 72 are , vii) The three consecutive numbers that come before 46 are , , viii) The four consecutive numbers that come before 65 are , , , ix) The five consecutive numbers that come before 24 are , , , , x) The two consecutive numbers that come before 87 are , Well, darling … come to see the following type of problems (consecutive numbers with after)



Example 30: Complete i) are

The two consecutive numbers that come after 23 ,

67

Genius Student 1 Volume 2

Solution

Here is “after” so we add “1” to “23” to get the first “24” and adding “2” to “23” to get the second “25”

The two consecutive numbers that come after 23 are 24 , 25 Exercise 30: Complete i) are

The two consecutive numbers that come after 15 ,

ii) The three consecutive numbers that come after 75 are , , iii) are

The two consecutive numbers that come after 81 ,

iv) are

The four consecutive numbers that come after 90 , , ,

v) The three consecutive numbers that come after 20 are , , vi) are

The two consecutive numbers that come after 72 ,

vii) The three consecutive numbers that come after 46 are , , viii) The four consecutive numbers that come after 65 are , , , ix) are

The five consecutive numbers that come after 24 , , , ,

68

Chapter 3: Order of Numbers up to 99

x) are

The two consecutive numbers that come after 87 ,

O.K … also come to understand the following type ( formed from … )



Example 31: Complete i) The greatest number ii) The smallest number formed from “2 , 5” is .... formed from “6 , 1” is .... Put the greatest as a tens

Solution

Put the smallest as a tens

The greatest number The smallest number formed from “2 , 5” is formed from “6 , 1” is ..52.. ..16.. Exercise 31: Complete i)

The greatest number formed from “2 , 9” is

ii)

The smallest number formed from “8 , 2” is

iii)

The greatest number formed from “0 , 7” is

iv)

The smallest number formed from “9 , 3” is

v)

The greatest number formed from “7 , 8” is

vi)

The smallest number formed from “1 , 8” is

69

Genius Student 1 Volume 2

vii)

The greatest number formed from “5 , 9” is

viii) The smallest number formed from “3 , 1” is ix)

The greatest number formed from “6 , 2” is

x)

The smallest number formed from “4 , 7” is

xi)

The greatest number formed from “7 , 9” is

xii)

The smallest number formed from “9 , 2” is

xiii) The greatest number formed from “6 , 8” is xiv) The smallest number formed from “2 , 1” is xv)

The greatest number formed from “1 , 0” is

xvi) The smallest number formed from “4 , 8” is xvii) The greatest number formed from “4 , 0” is xviii) The smallest number formed from “8 , 8” is xix) The greatest number formed from “2 , 0” is xx)

The smallest number formed from “5 , 8” is

Darling … also come to understand the following type ( formed from … device of 0 )



Example 32: Complete i)

The smallest number formed from “6 , 0” is .... 70

Chapter 3: Order of Numbers up to 99

Note here the smallest is “0” so we can’t put it as a tens but we put it as a units because “0” on the left has no meaning.

Solution

In this case the smallest is the same the greatest

The smallest number formed from “6 , 0” is ..60.. Exercise 32: Complete i)

The smallest number formed from “7 , 0” is

ii)

The smallest number formed from “0 , 8” is

iii)

The smallest number formed from “3 , 0” is

iv)

The smallest number formed from “0 , 9” is

v)

The smallest number formed from “2 , 0” is

vi)

The smallest number formed from “0 , 7” is

vii)

The smallest number formed from “6 , 0” is

viii) The smallest number formed from “6 , 0” is Darling … come to understand the following types of problems ( complete as in the pattern – ascending -)



Example 33: Complete as in the pattern i)

10

, 12 , 14 ,

,

,

, 71

Genius Student 1 Volume 2

Solution

10

What do you notice? You will notice the series is in ascending by “2” so if we add “2” to “14” we will get “16”, adding “2” to “16” we will get “18”, … and so on

, 12 , 14 , 16 , 18 , 20 , 22

Exercise 33: Complete as in the pattern i)

51

, 53 , 55 ,

,

,

,

ii)

20

, 22 , 24 ,

,

,

,

iii)

40

, 41 , 42 ,

,

,

,

iv)

0

,5

, 10 ,

,

,

,

v)

10

, 20 , 30 ,

,

,

,

vi)

0

, 10 , 20 ,

,

,

,

vii)

60

, 64 , 68 ,

,

,

,

viii)

55

, 60 , 65 ,

,

,

,

ix)

33

, 36 , 39 ,

,

,

,

x)

40

, 45 , 50 ,

,

,

,

xi)

13

, 16 , 19 ,

,

,

,

xii)

46

, 52 , 58 ,

,

,

, 72

Chapter 3: Order of Numbers up to 99

Come … to understand the following types of problems ( complete as in the pattern – descending -)



Example 34: Complete as in the pattern i)

30

, 28 , 26 ,

,

Solution

30

,

,

What do you notice? You will notice the series is in descending by “2” so if we subtract “2” from “26” we will get “24”, subtracting “2” from “24” we will get “22”, … and so on

, 28 , 26 , 24 , 22 , 20 , 18

Exercise 34: Complete as in the pattern i)

58

, 55 , 52 ,

,

,

,

ii)

20

, 18 , 16 ,

,

,

,

iii)

40

, 35 , 30 ,

,

,

,

iv)

12

, 10 , 8

,

,

,

,

v)

83

, 80 , 77 ,

,

,

,

vi)

70

, 66 , 62 ,

,

,

,

vii)

60

, 55 , 50 ,

,

,

,

viii)

90

, 80 , 70 ,

,

,

, 73

Genius Student 1 Volume 2

ix)

65

, 60 , 55 ,

,

,

,

x)

44

, 40 , 36 ,

,

,

,

xi)

60

, 50 , 40 ,

,

,

,

Well, come … to understand the following types of problems ( complete as in the pattern – descending and ascending - )



Example 35: Complete as in the pattern i)

,

,

What do you notice? You will notice the series is in descending to the left by “2” so if we subtract “2” from “25” we will get “23”, subtracting “2” from “23” we will get “21”, … and so on

19

,25

,27

Solution

, 21 , 23 ,25

,27

,

,

,

What do you notice? You will notice the series is in ascending to the right by “2” so if we add “2” to “27” we will get “29”, adding “2” to “29” we will get “31”, … and so on.

, 29

, 31 , 33

Exercise 35: Complete as in the pattern i)

,

,

,50

,60

,

,

,

ii)

,

,

,30

,35

,

,

,

iii)

,

,

,20

,22

,

,

, 74

Chapter 3: Order of Numbers up to 99

iv)

,

,

,40

,43

,

,

,

v)

,

,

,60

,64

,

,

,

vi)

,

,

,70

,75

,

,

,

vii)

,

,

,10

,12

,

,

,

viii)

,

,

,5

,6

,

,

,

ix)

,

,

,81

,82

,

,

,

Well, dear pupil … come to understand the following types ( ascending order – different tens).



Example 36: Arrange the following group of numbers in ascending order. 45 , 72 , 63 , 58 , 15

Remember “ascending order” means from the smallest to the greatest

15

Solution

If the tens are different then, we arrange according to “tens”

45 , 72 , 63 , 58 , 15 45

58

63

72

75

Genius Student 1 Volume 2

Exercise 31: Arrange each of the following groups in ascending order: i)

18 , 37 , 24 , 81 , 46

ii)

57 , 42 , 85 , 17 , 37

iii)

30 , 68 , 55 , 71 , 81

iv)

28 , 9

, 46 , 32 , 11

v)

80 , 41

, 94 , 57 , 63

vi)

72 , 31 , 27 , 85 , 19

vii)

20 , 10 , 30 , 80 , 50

viii)

60 , 70 , 40 , 90 , 20

76

Chapter 3: Order of Numbers up to 99

ix)

81 , 25 , 71 , 30 , 16

x)

12 , 8

xi)

70 , 80 , 30 , 90 , 40

, 89 , 47 , 72

♦ Well, dear pupil … come to understand the following

types ( ascending order – same tens).

Example 37: Arrange the following group of numbers in ascending order. 45 , 72 , 75 , 58 , 43

Remember “ascending order” means from the smallest to the greatest

43

Solution

If the tens are same then, we arrange according to “units”

45 , 72 , 75 , 58 , 43 45

58

72

75

77

Genius Student 1 Volume 2

Exercise 37: Arrange each of the following groups in ascending order: i)

18 , 37 , 34 , 81 , 46

ii)

71 , 42 , 75 , 17 , 47

iii)

80 , 68 , 75 , 71 , 81

iv)

38 , 9

, 46 , 32 , 41

v)

80 , 41

, 94 , 87 , 93

vi)

72 , 71 , 77 , 75 , 79

vii)

50 , 82 , 57 , 80 , 53

viii)

68 , 93 , 60 , 90 , 20

78

Chapter 3: Order of Numbers up to 99

ix)

81 , 85 , 82 , 80 , 86

x)

12 , 8

xi)

70 , 76 , 30 , 48 , 40

, 79 , 77 , 72

♦ Well, dear pupil … come to understand the following

types ( descending order – different tens).

Example 38: Arrange the following group of numbers in descending order. 45 , 72 , 63 , 58 , 15

Remember “descending means order” from the greatest to the smallest

72

Solution

If the tens are different then, we arrange according to “tens”

45 , 72 , 63 , 58 , 15 63

58

43

15

79

Genius Student 1 Volume 2

Exercise 38: Arrange each of the following groups in descending order: i)

58 , 37 , 24 , 87 , 46

ii)

57 , 48 , 85 , 27 , 37

iii)

40 , 63 , 55 , 70 , 81

iv)

23 , 9

, 56 , 32 , 11

v)

80 , 34

, 94 , 52 , 63

vi)

70 , 37 , 17 , 80 , 29

vii)

20 , 10 , 30 , 80 , 50

viii)

60 , 70 , 40 , 90 , 20

80

Chapter 3: Order of Numbers up to 99

ix)

81 , 25 , 71 , 30 , 16

x)

12 , 8

xi)

70 , 80 , 30 , 90 , 40

, 89 , 47 , 72

♦ Well, dear pupil … come to understand the following

types ( descending order – same tens).

Example 39: Arrange the following group of numbers in descending order. 45 , 72 , 75 , 58 , 43

Remember “descending order” means from the greatest to the smallest

75

Solution

If the tens are same then, we arrange according to “units”

45 , 72 , 75 , 58 , 43 72

58

45

43

81

Genius Student 1 Volume 2

Exercise 39: Arrange each of the following groups in descending order: i)

18 , 37 , 34 , 81 , 46

ii)

71 , 42 , 75 , 17 , 47

iii)

80 , 68 , 75 , 71 , 81

iv)

38 , 9

, 46 , 32 , 41

v)

80 , 41

, 94 , 87 , 93

vi)

72 , 71 , 77 , 75 , 79

vii)

50 , 82 , 57 , 80 , 53

viii)

68 , 93 , 60 , 90 , 20

82

Chapter 3: Order of Numbers up to 99

ix)

81 , 85 , 82 , 80 , 86

x)

12 , 8

xi)

70 , 76 , 30 , 48 , 40

, 79 , 77 , 72

♦ Well, darling … come to see the following type of

problems ( join the equal ) Example 40: Join the equal Sixteen 30 Remember the number in digits and in letters

52 16

Fifty-two

Solution

Sixteen 30

Thirty

52 16

Thirty Fifty-two

83

Genius Student 1 Volume 2

Exercise 40: Join the equal in each of the following: i)

Seventy-one

Eighteen ii)

45

Sixty-thee v)

Ninety 90

32

21 Fifty-two

36 16 Fourteen 14

54 Nineteen

52

Sixteen

Eighty 71

19

Thirty-two Twenty-one

iv)

80

Forty-five Fifty-four

iii)

18

63 Thirty-six 41 Forty-one

84

Chapter 3: Order of Numbers up to 99

81

vi)

Seventy vii)

Eighteen Eighty-one

Ten 30

70 18

9 Nine

Thirty 10

♦ Well, darling … come to see the following type of

problems ( join in order ) Example 41: Join in order Sixteen 30

42 26

Fifty-five

Solution 16

Sixteen 30

87

Remember “join in order” means joining from the smallest to the greatest

42 26

87 55

Fifty-five

85

Genius Student 1 Volume 2

Exercise 41: Join the equal in each of the following: i)

Seventy Eighteen

ii)

80

Thirty-two

iv)

90

28

Forty-three

21 Sixty

36 16

Ninety

54 Nineteen

12

71 v)

9 65

38

45 71

Forty-five 27

iii)

18

Fourteen Twenty

63 9 Fifty-one Forty-one

86

Chapter 3: Order of Numbers up to 99

vi)

Seventeen 67

vii)

49 38

Twelve viii)

x)

12

Nineteen

Forty

Sixty-six

88

73

Eighty-one 27

65 8

21 Sixty-two

54

Thirty-two

81

91

Seventeen 64

Seventy

99

68 Twenty

ix)

Eighteen

37 Fifty-three

87

Genius Student 1 Volume 2

Draw Something you love here:

88

Addition of 2-digit Numbers

Dear parents … teachers … all my notes and explanations are directed for you

Adding Without Carry Up

Well, dear pupil … come to understand how to add 2digit numbers without carrying up Review how to add two 1-digit numbers by your fingers then, … come to understand how to add 2-digit numbers without carrying up ♦

Vertically

Example 42: Add: 3 2 + 1 5

Always remember beginning addition from the right “units with unit and tens with tens”

Solution 3 2 + 1 5 7

Put the greatest “5” on your mind and the smallest “2” on your fingers then, after 5 is 6 .. 7. So the answer is 7

Genius Student 1 Volume 2

3 2 + 1 5 4 7

Put the greatest “3” on your mind and the smallest “1” on your fingers then, after 3 is 4 so the answer is 4

Exercise 42: Add: i)

1 5

ii)

+2 2 iv)

8 0

7 3

v)

3 7

viii)

1 6 +4 2

vi)

1 9

xi)

8 9

ix)

1 7 +5 2

6 2 +1 4

xii)

+1 0 xiv)

3 5 +5 3

+5 0

+5 2 xiii)

6 3

7 0 +1 8

+1 2

+2 1 x)

iii)

+4 6

+1 1 vii)

4 3

4 3 +5 0

xv)

4 1 +3 8

90

Chapter 4: Addition of 2-digit numbers

xvi)

3 9

xvii) 2 0

xviii) 6 1

+5 0

+5 9

+2 4

5 6

xxi) 2 8

+3 2

+7 0

xix)

xx)

3 7 +1 2

Well, dear pupil … come to understand the following type ( tens is absent )



Example 43: Add: 5 + 5 4

Here, add “0” as a tens to make two digits up and two digits down.

Solution 0 5 + 5 4 9 0 5 + 5 4 5 9

Put the greatest “5” on your mind and the smallest “4” on your fingers then, after 5 is 6 .. 7.. 8 .. 9. So the answer is 9

Put the greatest “5” on your mind and the smallest “0” on your fingers then, after 5 is 5. So the answer is 5

This means “0” 91

Genius Student 1 Volume 2

Exercise 43: Add: i)

4 2 +

iv)

ii)

2 1

9 0 +

x)

v)

viii)

2 6 +

xvi)

xi)

xiv)

4 +9 3

ix)

4 +8 4

xii)

2 1

5

4 3 +

xv)

3 1

3

+5 3

+7 8

9

xvii) 1 2

xviii) 6 2

+

6

+

5

xxi) 7 3

7 7 +

8 7 +

+8 0 xix)

vi)

2 9

7 3 +

+2 0

+7 2 xiii)

8 7 +

9 7

iii)

+6 6

+1 6 vii)

1

1

xx)

+5 2

+

5

6 92

Chapter 4: Addition of 2-digit numbers

Horizontally



Example 44: Add: i)

45

+

12 =

Remember, you must add units with units and tens with tens

TU 45

+

Solution

You can carry out it in the draft as follows.

45 +12 57

TU TU 12 = 5 7

Exercise 44: A- Add: i)

12 + 34 =

ii)

53 + 25 =

iii)

10 + 42 =

iv)

40 + 18 =

v)

21 + 71 =

vi)

12 + 70 =

vii)

19 + 20 =

viii)

37 + 12 =

ix)

27 + 32 =

x)

22 + 44 =

xi)

82 + 17 =

xii)

44 + 44 =

xiii)

30 + 42 =

xiv)

50 + 19 =

xv)

35 + 3 =

xvi)

82 + 6 =

xvii)

7 + 12 =

xviii) 8 + 21 = 93

Genius Student 1 Volume 2

B- Choose the correct answer: xix)

21

+

12

=



[ 33

42

24 ]

xx)

25

+

14

=



[ 93

39

66 ]

xxi)

27

+

12

=



[ 48

39

93 ]

xxii)

31

+

42

=



[ 73

37

55 ]

xxiii)

18

+

11

=



[ 92

29

93 ]

xxiv)

24

+

42

=



[ 84

48

66 ]

xxv)

63

+

32

=



[ 95

59

86 ]

xxvi)

50

+

3

=



[ 80

83

53 ]

xxvii)

8

+

51

=



[ 95

59

94 ]

xxviii)

82

+

7

=



[ 89

98

78 ]

xxix)

37

+

51

=



[ 88

87

78 ]

xxx)

18

+

71

=



[ 78

87

89 ]

xxxi)

32

+

51

=



[ 83

74

38 ]

xxxii)

30

+

7

=



[ 37

73

307 ]

xxxiii)

8

+

12

=



[ 19

91

20 ]

xxxiv)

27

+

3

=



[ 29

92

30 ]

xxxv)

5

+

75

=



[ 70

07

80 ] 94

Chapter 4: Addition of 2-digit numbers

C- Put the suitable sign (√) or (X): xxxvi)

92

+

6

=

69

(

)

xxxvii)

83

+

12

=

85

(

)

xxxviii)

30

+

20

=

50

(

)

xxxix)

45

+

5

=

50

(

)

xl)

60

+

30

=

80

(

)

xli)

27

+

31

=

57

(

)

xlii)

12

+

53

=

74

(

)

xliii)

80

+

10

=

90

(

)

xliv)

7

+

50

=

57

(

)

xlv)

30

+

9

=

93

(

)

xlvi)

81

+

7

=

79

(

)

xlvii)

44

+

33

=

77

(

)

xlviii)

22

+

33

=

55

(

)

xlix)

73

+

16

=

79

(

)

l)

47

+

12

=

67

(

)

li)

73

+

15

=

88

(

)

lii)

14

+

8

=

22

(

) 95

Genius Student 1 Volume 1

Applications Different Types of Problems Well, darling … come to understand the following type of problems.



Example 45: Join the equal 23 + 21

40 + 4

40 + 16

22 + 22

6 + 50

31 + 25 Solution 56

44

23 + 21

44

40 + 4

40 + 16 44

56

56

22 + 22

6 + 50

31 + 25

Exercise 45: A- Join the equal i)

23 + 42 34 + 23

25 + 11 25 + 40

50 + 7 21 + 15 96

Chapter 4: Addition of 2-digit numbers

ii)

24 + 31 35 + 54

iii)

31 + 34

42 + 20

v)

3 + 36

90 + 7

vii)

60 + 7 75 + 14

64 + 5 29 + 60

46 + 53 30 + 20

45 + 5

22 + 66 72 + 8

46 + 21

54 + 24

21 + 51

62 + 10

45 + 52 vi)

12 + 27

41+ 24 73 + 15

31 + 31

28 + 21

42 + 13 81 + 8

44 + 44 iv)

9 + 80

9 + 40

33 + 36

40 + 40 9 + 60 34 + 44 27 + 42 54 + 35

97

Genius Student 1 Volume 1

B- Join from group A to group B: Group A

Group B

viii)

20 + 15

54 + 5

ix)

45 + 50

23 + 40

x)

33 + 31

21 + 12

xi)

58 + 30

5 + 20

xii)

23 + 23

42 + 30

xiii)

24 + 62

5 + 35

xiv)

14 + 11

26 + 51

xv)

50 + 8

42 + 44

xvi)

31 + 60

12 + 23

xvii)

10 + 5

1 + 90

xviii)

21 + 51

33 + 13

xix)

20 + 20

53 + 42

xx)

13 + 20

25 + 41

xxi)

43 + 20

12 + 3

xxii)

33 + 44

24 + 71

xxiii)

26 + 33

24 + 34 98

Chapter 4: Addition of 2-digit numbers

Well, … come to see the following type of problems. Remember calculating each



Example 46:

side before putting the sign.

Complete using < , > or =: i)

36

+

21

5

+

Remember the crocodile eats the greatest

Solution 36

57 +

21

>

51

5

56 +

51

5

+

51

25

+

62

Exercise 46: Complete using < , > or =: i)

36

ii)

+

21

85

iii)

45

+

24

iv)

23

+

41

v)

30

57 51

+

12

25

+

5

55

+

21

vi)

27

+

11

vii)

23

+

64

viii)

36

+

32

81

+

10

ix)

40

+

10

20

+

30

83

99

Genius Student 1 Volume 1



types.

Well, dear pupils … come to see the following

Example 47: Complete. i)

+8

21

30

41

....

....

....

Note you can carry out each one in the draft then, write the correct answers.

Solution

+8

21

30

41

..29..

..38..

..49..

Exercise 47: Complete i)

ii) +12

42

51

81

34

17





















9

25

34

64

16

+10

100

Chapter 4: Addition of 2-digit numbers

iii)











21

42

22

51

81

iv) +21

25

71

34

71

82











v)

35

24

64

55

40











vi) +40











15

27

38

49

57

vii)











12

11

10

33

45

15

27

31

28

22











viii) +61

+7

+33

+52

101

Genius Student 1 Volume 1

Well, dear pupils … come to see the following type of problems. ( adding more than two numbers )



Example 48: Add: 2 3 + 1 4 + 4 1

It is preferable to add on your mind and your fingers.

Solution 2 3 + 1 4 + 4 1

Put the greatest “4” on your mind and the smallest “3” on your fingers then, after 4 is 5 .. 6 .. 7 so the answer is 7. After that put “7” on your mind and “1” on your fingers then after “7” is “8”. So the answer is “8”

8

2 3 + 1 4 + 4 1 7 8

Put the greatest “2” on your mind and the smallest “1” on your fingers then, after 2 is 3. So the answer is 3. After that put “3” on your mind and “4” on your fingers then, after “3” is 4 .. 5 .. 6 .. 7 . So the answer is “7”

102

Chapter 4: Addition of 2-digit numbers

Exercise 48 Add: i)

11 +

ii)

3

+31

iv)

5 +

43

iii)

54

+10

+ 1

+

+23

v)

4

56

vi)

31

3

+

2

+ 5

+40

+

4

+12

vii)

65 +

viii)

10

ix)

11

3

+22

+33

+20

+43

+22

x)

15 +

xi)

61

xii)

20

2

+

3

+32

+20

+

2

+14

+41

+30

+ 1

+10

+22

103

Genius Student 1 Volume 1

Word Problems Well, darling … come to understand how to solve the word problems on addition. Pay attention the blue words mean “+”

Example 49: i)

Look at the opposite toys then, complete a) The price of plane and the price of car = …… + …… = …… pounds

Put the price of toy plane then the price of toy car

Solution

L.E 23 L.E 41

Add on your mind and on your fingers.

a) The price of plane and the price of car = …41… + …23… = …64… pounds Exercise 49: i)

Pay attention the symbol of pound is “L.E”

Look at the opposite toys then, complete L.E 23 a) The price of plane and the price of car = …… + …… = …… pounds

L.E 34 L.E 15

104

Chapter 4: Addition of 2-digit numbers

b) The total price of the bat and the car = …… + …… = …… pounds c) The price of plane and the price of bat = …… + …… = …… pounds ii)

Look at the opposite toys then, complete a) The price of car and the price of bird = …… + …… = …… pounds b) The total price of the plane and the bear = …… + …… = …… pounds c) The price of bird and the price of plane = …… + …… = …… pounds d) The total price of the bird, the elephant and the plane = …… + …… + ……. = …… pounds

L.E 42

L.E 14

L.E 13

L.E 10

L.E 31

105

Genius Student 1 Volume 1

iii)

Look at the opposite pictures then, complete a) The weight of rabbit and the weight of cat = …… + …… = …… kilograms

Pay attention the abbreviation of kilograms is “kg”

51 kg

b) The total weight of the dog and the hen = …… + …… = …… kilograms c) The weight of cat and the weight of dog = …… + …… = …… kilograms d) The total weight of hen, the rabbit and the cat = …… + …… + ……. = …… kilograms

32 kg

12 kg

5 kg

e) The weight of dog , the weight of cat and the weight of rabbit = …… + …… + ……… = …… kilograms

106

Families of 2-digit Numbers

Dear parents … teachers all my notes and explanations are directed for you

Families in Terms of Units and Tens Well, dear pupils … come to understand how to get the families of numbers in terms of units and tens. Come to see the following type: Example 50:

Remember “tens” and “units” with “s” mean the place of the digit.

Complete i)

45 = Remember the tens digit is on the left.

45 =

....-ten

Solution

..4..-ten

Exercise 50: 70 =

+

....-unit Remember the units digit is on the right.

..5..-unit

Here the question “how many ten and how many unit are there in the number?

A- Complete i)

+

....-ten

+

....-unit

Genius Student 1 Volume 2

ii)

2

=

....-unit

and

....-ten

iii)

75 =

....-ten

+

....-unit

iv)

63 =

....-unit

and

....-ten

v)

59 =

....-ten

+

....-unit

vi)

27 =

....-unit

+

....-ten

vii)

38 =

....-ten

and

....-unit

viii)

84 =

....-unit

+

....-ten

ix)

11 =

....-ten

and

....-unit

x)

6

....-unit

+

....-ten

=

Here the question “what are the tens digit and the units digit?

B- Complete xi)

35 is

....-tens

,

....-units

xii)

1

is

....-units

and

....-tens

xiii)

58 is

....-tens

,

....-units

xiv)

61 is

....-tens

,

....-units

xv)

19 is

....-units

and

....–tens

xvi)

6

is

....-tens

,

....-units

xvii)

74 is

....-units

and

....–tens

108

Chapter 5: Families of 2-digit numbers

xviii)

27 is

....-tens

,

....-units

xix)

60 is

....-units

,

....-tens

xx)

7

is

....-tens

and

....-units

xxi)

47 is

....-units

and

....-tens

Well, dear pupils … come to understand the following type (the converse of the previous)



Example 51: Complete i)

2-ten Remember putting tens digit on the left

2-ten

+ the

3-unit

=

Solution

.... Remember putting the units digit on the right

+

3-unit

= ..23..

Exercise 51: A- Complete i)

0-ten

+

3-unit

=

....

ii)

3-unit

+

8-ten

=

....

iii)

8-ten

and

4-unit

=

....

iv)

1-unit

+

0-ten

=

....

v)

9-ten

+

7-unit

=

.... 109

Genius Student 1 Volume 2

vi)

2-ten

and

1-unit

=

....

vii)

6-unit

+

9-ten

=

....

viii)

7-ten

+

4-unit

=

....

ix)

0-unit and

5-ten

=

....

x)

5-ten

3-unit

=

....

xi)

2-tens and 3-units is

....

xii)

3-units

is

....

xiii)

2-tens and 3-units is

....

xiv)

3-units

is

....

xv)

2-tens and 3-units is

....

xvi)

2-tens

3-units is

....

xvii)

3-units and

2-tens

is

....

xviii)

2-tens

3-units is

....

xix)

3-units and

2-tens

is

....

xx)

2-tens

3-units is

....

xxi)

3-units and

7-tens

....

+

B- Complete

,

,

,

,

,

2-tens

2-tens

is

110

Chapter 5: Families of 2-digit numbers



type:

Well, dear pupil … come to see the following

Example 52: Complete the missing digit: i)

2-unit

+

....ten

= 4

Solution 2-unit

+

..4..ten

= 42

Exercise 52: A- Complete the missing digit: i)

....-ten

+

2-unit

= 7

ii)

2-unit

and

....-ten

= 2

iii)

5-ten

+

....-unit

=

iv)

2-unit

and

....ten

v)

8-ten

+

....-unit

=

vi)

....-ten and

6-unit

= 0

vii)

4-ten

+

....-unit

=

viii)

2-unit

and

....-ten

= 9

ix)

5-unit

+

0-ten

=

x)

7-unit

and

....ten

= 8

0

= 5 7

8

111

Genius Student 1 Volume 2

B- Complete the missing: xi)

7-units and

....tens

is 5

xii)

....-units

,

0-tens

is

xiii)

7-tens

and

5-units

is

xiv)

....-units

,

0-tens

is

xv)

7-units and

....tens

is 1

xvi)

....-tens

0-units

is 7

xvii)

7-units and

....tens

is 0

xviii)

....-units

0-tens

is

2

xix)

7-tens

and ....units is

9

xx)

....-units

,

,

,

0-tens

is

5

2

3

Well, darling … come to see the following type of problems:



Example 53: Complete i)

45 = .... +

....

Solution 45 = ..40.. + ..5..

112

Chapter 5: Families of 2-digit numbers

Exercise 53: Complete i)

12 = .... + ....

ii)

80 = .... + ....

iii)

86 = .... + ....

iv)

65 = .... + ....

v)

45 = .... + ....

vi)

71 = .... + ....

vii)

94 = .... + ....

viii)

8 = .... + ....

ix)

87 = .... + ....

x)

10 = .... + ....

Well, dear pupil … come to see the following type ( the converse of the previous)



Example 54: Complete the missing digits i)

=

80

+

4

Solution 8

4

=

80

+

4

Exercise 54: Complete the missing digits i)

=

10

+

9

ii)

=

8

+

20

iii)

=

90

+

8 113

Genius Student 1 Volume 2

iv)

=

20

+

3

v)

=

7

+

70

vi)

=

5

+

10

vii)

=

30

+

8

viii)

=

60

+

2

ix)

=

4

+

70

x)

=

90

+

0



type.

Well, dear pupils … come to see the following

Example 55: Complete: i)

5

=

70

+

....

Solution 7

5

=

70

+ ..5..

=

....

+

2

=

70

+

....

=

....

+

7

Exercise 55: Complete: i)

5

ii) iii)

4 9

114

Chapter 5: Families of 2-digit Numbers

iv) v)

1

vi) vii)

=

4

+

10

7

=

....

+

....

3

=

10

+

....

=

....

+

0

=

90

+

....

=



+

5

=



+



5

viii)

9

ix)

2

x)

6

3

Families of Perfect Tens in Terms of Perfect Tens Well, dear pupils … come to understand how to get the families of perfect tens in terms of perfect tens.

Families of 20:



Remember

By the opposite abacus you will get: 20

=

20

+

0

20

=

10

+

10

20

=

0

+

20

= 10

115

Genius Student 1 Volume 2

Families of 30:



By the opposite abacus can you complete: 30

=

30

=

30

=

30

=

30

+ +

10

10

+ +

30

Families of 40:



By the opposite abacus can you complete: 40

=

40

=

40

=

40

=

40

=

40 +

20

10

+ +

0

+

30

+

116

Chapter 5: Families of 2-digit Numbers

Families of 50:



By the opposite abacus can you complete: 50

=

50

=

50

=

50

=

50

=

50

=

50

+ +

30

+ +

10

10

30

+ +

50

Families of 60:



By the opposite abacus can you complete: 60

=

60

=

60

=

60

+ +

40

10

+

117

Genius Student 1 Volume 2

60

=

60

=

60

=

60

=

+ 20

30

+ +

0

50

+

Families of 70:



Now, can you complete without abacus: 70

= 70 +

70

=

70

= 50 +

70

=

70

= 30 +

70

=

+ 50 = 70

+ 10

+ 30

+ 50

60 + 70 + Or

20 +

= 70 0 = = 70

+ 40 = 70 60 + 10 =

118

Chapter 5: Families of 2-digit Numbers

70

= 10 +

70

=

+ 20 = 70

+ 70

30 +

= 70

Families of 80:



Now, can you complete without abacus: 80

= 80 +

80

=

80

= 60 +

80

=

80

= 40 +

80

=

80

= 20 +

80

=

+ 30 = 80

+ 10

+ 30

+ 50

+ 70

60 +

= 80

20 + 60 = Or

50 +

= 80

+ 40 = 80 70 + 10 = + 80 = 80 30 +

= 80

119

Genius Student 1 Volume 2

80

=

0

50 + 30 =

+

Families of 90:



Now, can you complete without abacus: 90

= 90 +

90

=

90

= 70 +

90

=

90

= 50 +

90

=

90

= 30 +

90

=

90

= 10 +

+ 70 = 90

+ 10

+ 30

+ 50

+ 70

80 +

= 90

70 + 20 = Or

60 +

= 90

+ 10 = 90 50 + 40 = +

0 = 90

50 +

= 90

+ 30 =

120

Chapter 5: Families of 2-digit Numbers

90

=

+ 90

= 90

20 +

Now, dear pupils … come o see the following type of problems.



Example 56: Complete. i)

+ 10 = 50

Here, divide “5” into “1” and what? Yes it is “4” then add “0” beside “4” to becomes “40”.

ii)

70 = 30 +

Solution

40 + 10 = 50

70 = 30 + 40

Exercise 56: Complete. i) iii) v)

ii)

90 = 60 +

= 30

iv)

70 =

+ 10 = 10

vi)

60 = 50 +

+ 20 = 40 30 +

vii) 50 + ix) xi) xiii)

= 80

+ 40 = 60 30 + 60 = + 70 = 70

viii)

+ 40

= 10 + 80

x)

80 = 30 +

xii)

50 =

xiv)

20 = 0 +

+ 40

121

Genius Student 1 Volume 2

Applications on Families Different Types of Problems Well, darling … come to understand the following types of problems (empty squares )



Example 57: Complete the missing digits: +

1 4 1

2 6

4

4 2 6

1 + 3 4

4 2 6

+

Solution Here, we have “2” and we want to reach “6”. Do you count on your finger after “2” up to “6”? Yes it is “4”.

Here, we have “1” and we want to reach “4”. Do you count on your finger after “1” up to “4”? Yes it is “3”.

122

Chapter 5: Families of 2-digit Numbers

Exercise 57: Complete the missing digits:

2

ii)

5

v)

7

viii)

2

xi)

xiii)

5 + 3 2 4

xiv)

xvi)

5 1

xvii)

i)

iv)

vii)

x)

xix)

+

+

+

+

+

+

1 5 4 5 6 7 1 8 3 7 9 8

8 9 2

1 2 3

xx)

3

iii)

6

vi)

2

ix)

8

xii)

+ 3 6 4 + 3 3 6 + 9 9 6 + 1 3 8 + 2 1 3 8 6 + 3 1 4 +

7 2 8 3

xv)

xviii)

xxi)

+

+

+

+

5

4 9 4 1

2 6 5 8

3 8 4 5

3 9 8

3 5 + 1 6 +

7

5 9 6

7 + 1 2 8 123

Genius Student 1 Volume 2

Dear pupils … come to understand the following type of problems.



Example 58:

You can do it in the draft as empty squares or direct

Complete i)

26

+

....

=

58

Solution 26

+

..32..

=

58

+

22

=

34

=

56

=

25

=

78

=

37

=

65

=

81

=

93

=

75

2

6

+ 3 2. 5 8

Exercise 58: Complete i) ii)

24

iii) iv)

+ 18

v) vi)

65

ix)

27

+ +

61

12

+ +

vii) viii)

+

70

+ +

42

124

Chapter 5: Families of 2-digit Numbers

Dear pupils … come to understand the following type of problems.



Example 59: Complete the missing: i)

20

+

50

=

20

+

50

Ask your self “30” plus what equals “70”

Solution

Calculate the given side

70

30 +

=

30 +

40

Exercise 59: A- Complete the missing: i)

+

10

=

30

+

30

=

20

+

=

40

+

50

ii)

20

+

iii)

50

+

iv)

40

+

30

=

60

+

+

70

=

20

+

60

40

=

+

20 40

v) vi)

40

+

vii)

30

+

viii)

30

+

40

=

50

+

=

60

+

10

125

Genius Student 1 Volume 2

ix) x)

60

+

50

=

+

20

=

B- Complete the missing: xi)

40

+

20

+

10

Remember you must calculate the given side.

+

24

=

25

+

33

=

25

+

=

41

+

51

xii)

24

+

xiii)

53

+

xiv)

43

+

35

=

60

+

+

72

=

25

+

64

44

=

+

23 43

xv) xvi)

45

+

xvii)

37

+

xviii) 34

+

xix)

14

=

55

+

43

=

62

+

+

54

=

45

+

23

26

=

+

17

+

72

xx)

60

+

xxi)

65

+

=

24

126

Chapter 5: Families of 2-digit Numbers

Well, darling … come to understand the following type of problems.



Example 60: Complete the missing: i)

23

+

14




65

+

Remember that the crocodile eats the greatest number only.

i)

23

+

14

Solution




65

+

0




iii)

24

+

42




61

+

v)

71

+




50

+

30

vi)

+

70

127

Genius Student 1 Volume 2

Draw Something you love here:

128

Subtraction of 2-digit Numbers

Dear parents … teachers … all my notes and explanations are directed for you

Subtracting Without Borrowing

Well, darling … come to understand how to subtract 2digit numbers without borrowing Review how to subtract two 1-digit numbers by your fingers then, … come to understand how to subtract 2digit numbers without borrowing

Vertically



Example 61: Subtract: 3 4 -

1 3

Always remember beginning subtraction from the right “units from units and tens from tens”

Solution 3 4 -

1 3 1

Put the greatest “4” on your fingers then bend “3” what is the fingers remainder? Yes it is “1”.

Genius Student 1 Volume 2

3 4 -

1 3 2 1

Put the greatest “3” on your fingers then bend “1” What is the finger. remainder? Yes it is “2”.

Exercise 61: Subtract: i)

5 5

ii)

-2 2 iv)

8 6

7 3

v)

6 7

viii)

8 6 -4 2

vi)

8 9

xi)

8 9

ix)

7 7 -5 2

6 4 -1 4

xii)

-1 0 xiv)

6 5 -5 3

-5 0

-5 2 xiii)

6 3

7 8 -1 8

-1 2

-2 1 x)

iii)

-4 6

-1 1 vii)

4 9

5 3 -5 0

xv)

4 9 -3 8

130

Chapter 6: Subtraction of 2-digit Numbers

xvi)

7 9

xvii) 8 9

xviii) 6 8

-3 0

-5 9

-2 4

5 6

xxi) 8 8

-3 2

-7 0

xix)

xx)

3 7 -1 2

Well, dear pupil … come to understand the following type (tens is absent )



Example 62: Subtract: 5 4 -

2

Here, add “0” as a tens to make two digits up and two digits down.

Solution 5 4 -

0 2

Put the greatest “4” on your fingers then bend “2” . What is the remainder? Yes it is “2”

2 5 4 -

0 2

Put the greatest “5” on your fingers then don’t bend any finger because“0” means no thing.

5 2

131

Genius Student 1 Volume 2

Exercise 62: Subtract: i)

4 2 -

iv)

2 3 7

vii)

x) xiii)

xvi)

xix)

xiv)

1

3

5 2 4

ix)

3 7 4

xii)

2 3 8

-

vi)

0 8 7

-

4 4 3

xv)

3 5 9

-

8

xvii) 1 9

xviii) 6 7

-

-

0 7 7

-

xi)

7 5 -

2 5 9

-

3 8 9

-

viii)

iii)

6 8 7

-

5 2 6

-

v)

1 1 7

8 7 -

6 9 5

-

ii)

xx)

6 2 5

-

2

5

xxi) 7 6 -

6 132

Chapter 6: Subtraction of 2-digit Numbers

Horizontally



Example 63: Subtract: i)

45

-

12 =

Remember, you must subtract units from units and tens from tens

TU 45

-

Solution

You can carry out it in the draft as follows.

45 - 12 33

TU TU 12 = 3 3

Exercise 63: A- Subtract: i)

55 - 34 =

ii)

55 - 25 =

iii)

94 - 42 =

iv)

48 - 18 =

v)

81 - 71 =

vi)

82 - 70 =

vii)

59 - 20 =

viii)

67 - 12 =

ix)

37 - 32 =

x)

76 - 44 =

xi)

89 - 17 =

xii)

44 - 44 =

xiii)

54 - 42 =

xiv)

59 - 19 =

xv)

35 - 3 =

xvi)

87 -

xvii) 73 - 12 =

6 =

xviii) 48 - 21 = 133

Genius Student 1 Volume 2

B- Choose the correct answer: xix)

25

-

12

=



[ 37

42

13 ]

xx)

25

-

14

=



[ 11

39

66 ]

xxi)

27

-

12

=



[ 48

39

15 ]

xxii)

58

-

42

=



[ 16

43

55 ]

xxiii)

18

-

11

=



[ 92

07

70 ]

xxiv)

74

-

42

=



[ 32

05

66 ]

xxv)

63

-

32

=



[ 95

04

31 ]

xxvi)

55

-

3

=



[ 52

25

58 ]

xxvii)

82

-

51

=



[ 33

31

37 ]

xxviii)

84

+

14

=



[ 70

98

78 ]

xxix)

67

-

31

=



[ 98

36

45 ]

xxx)

13

+

72

=



[ 41

85

89 ]

xxxi)

65

-

31

=



[ 25

96

34 ]

xxxii)

33

+

5

=



[ 38

20

02 ]

xxxiii)

82

-

12

=



[ 94

70

16 ]

xxxiv)

25

+

13

=



[ 12

38

14 ]

xxxv)

85

-

75

=



[ 10

07

80 ] 134

Chapter 6: Subtraction of 2-digit Numbers

C- Put the suitable sign (√) or (X): xxxvi)

97

-

6

=

37

(

)

xxxvii)

53

-

12

=

85

(

)

xxxviii)

30

-

20

=

50

(

)

xxxix)

45

-

5

=

40

(

)

xl)

60

-

30

=

30

(

)

xli)

47

-

31

=

78

(

)

xlii)

64

-

53

=

97

(

)

xliii)

83

+

13

=

96

(

)

xliv)

87

-

50

=

37

(

)

xlv)

32

+

17

=

25

(

)

xlvi)

88

-

7

=

81

(

)

xlvii)

54

+

35

=

89

(

)

xlviii)

77

-

32

=

99

(

)

xlix)

23

+

14

=

11

(

)

l)

47

-

12

=

59

(

)

li)

74

+

15

=

89

(

)

lii)

89

-

8

=

81

(

) 135

Genius Student 1 Volume 2

Applications Different Types of Problems Well, darling … come to understand the following type of problems.



Example 64: Join the equal 73 - 41

55 - 23

47 - 26 42 - 10

66 - 45

31 - 10 Solution 21

32

73 - 41

32

55 - 23

47 - 26 32

21

21

42 - 10

66 - 45

31 - 10

Exercise 64: A- Join the equal i)

45 - 42

58 - 7

57 - 11 68 - 22

76 - 73

69 - 8 136

Chapter 6: Subtraction of 2-digit Numbers

ii)

58 - 31 65 - 55

iii)

90 - 80

83 - 32

54 - 34

45 - 25

86 - 55 75 - 44

iv)

64 - 20

23 + 31

vii)

79 - 48

64 - 34

9 + 60 86 - 32

25 + 25 45 + 5

57 - 32

67 - 27 75 - 15

79 - 10

88 - 26

75 - 31 46 - 21

83 - 52 vi)

54 - 51

77 - 15

97 - 57

97 - 66

73 - 53

35 - 32 v)

58 - 1

66 - 15

89 - 47

30 + 30 77 - 35 85 - 55

137

Genius Student 1 Volume 2

B- Join from group A to group B: Group A

Group B

viii)

52 - 20

50 - 40

ix)

87 - 72

37 + 10

x)

21 + 30

21 + 22

xi)

31 + 30

30 + 3

xii)

70 - 60

78 - 63

xiii)

23 + 12

37 - 10

xiv)

54 - 21

68 - 11

xv)

85 - 42

12 + 20

xvi)

12 + 5

56 + 26

xvii)

12 + 13

96 - 35

xviii)

78 - 51

65 - 30

xix)

76 + 35

10 + 15

xx)

88 - 41

78 - 65

xxi)

47 + 17

57 -

xxii)

85 - 72

21 + 20

xxiii)

42 + 15

89 - 72

6

138

Chapter 6: Subtraction of 2-digit Numbers

Well, … come to see the following type of problems.



Example 65: Join in order 65 - 33

22 + 21

47 - 37

44 + 13

24 + 45

45 - 30 Solution 10

32

65 - 33

43

22 + 21

47 - 37 57

69

15

44 + 13

24 + 45

45 - 30

Exercise 65: Join in order i)

66 - 24 68 - 22

ii)

54 + 33 67 - 45

iii)

52 + 15

67 - 21

52 + 31 85 - 44

23 + 32

69 - 18 99 - 8

83 - 32 76 + 13

55 + 21 45 + 23

86 - 24 73 - 53

97 - 67 139

Genius Student 1 Volume 2

iv)

74 - 33 55 + 35

v)

27 + 52

63 - 31

45 + 13

61 + 34

68 - 34

ix)

64 + 13

90 - 30

65 - 55

14 + 45

71 + 15 62 - 50

89 - 27 25 + 23

89 - 8

9 + 60

77 - 35

87 - 45

25 + 33

97 - 32

82 - 32 85 - 25

45 - 5 viii)

23 + 45

37 + 51

79 - 50 vii)

88 - 56

65 - 35 46 - 21

83 - 52 vi)

14 + 51

77 - 65

89 - 41

77 - 35 95 - 35

140

Chapter 6: Subtraction of 2-digit Numbers

Well, … come to see the following type of problems. Remember that you must



Example 66:

calculate each putting the sign

Complete using < , > or =: i)

66

-

23

15

+

Solution 66

43 -

23

>

side

before

21 Remember the crocodile eats the greatest

15

36 +

21

57

-

5

32

+

32

Exercise 66: Complete using < , > or =: i)

28

ii)

+

21

85

iii)

75

-

24

iv)

53

+

21

v)

48

42 86

-

33

65

-

5

45

+

31

vi)

77

-

11

vii)

83

-

52

viii)

26

+

42

81

-

10

ix)

90

-

10

30

+

40

37

141

Genius Student 1 Volume 2



types.

Well, dear pupils … come to see the following

Example 67: Complete. i)

-6

28

....

56

....

31

....

Pay attention, if the direction of the arrow is “-“ then the opposite is “+”

-6

Note you can carry out each one in the draft then, write the correct answers.

Solution

28

..37..

56

..22..

31

..50..

Exercise 67: Complete i)

ii) - 12

42

51

81

34

17





















12

35

44

64

56

-10

142

Chapter 6: Subtraction of 2-digit Numbers

iii)





21





29

48



57

89

iv) - 21

46



44



92



32



46



v)

45



64



47



53



42



vi) - 40



21



42



65



48



77

vii)



22



33



72



83



94











26

34

25

17

26











viii) +24

-7

+31

-52

- 61

143

Genius Student 1 Volume 2

Well, dear pupils … come to see the following type of problems.



Example 68: Complete using “+” or “-“: i)

12

ii)

31 = 43

If the last is the greatest then, the sign will be “+”.

45

Solution

21 = 24 If the first is the greatest then, the sign will be “-”.

45 - 21 = 24

12 + 31 = 43 Exercise 68: Complete using “+” or “-“: i)

32

12 = 20

ii)

12

32 = 44

iii)

54

24 = 30

iv)

34

61 = 95

v)

71

8 = 79

vi)

65

35 = 30

vii)

24

12 = 12

viii) 82

51 = 31

ix)

65

12 = 77

x)

45

31 = 76

xi)

32

51 = 83

xii) 64

52 = 12

xiii)

74

21 = 53

xiv) 27

12 = 39

xv)

64

32 = 32

xvi) 97

64 = 33

144

Chapter 6: Subtraction of 2-digit Numbers

Well, darling … also come to see the following type:



Example 69: Complete using “+” or “–“: i)

23 + 25




25

vi)

b) > b) >

a) < v)

c) =

14

a) < iii)

b) >

c) = 10

+

b) > +

43

7 c) =

99 b) >

0

-

24 c) =

211

Genius Student 1 Volume 2

ix)

4+6=… a) 10

x)

b) 50

c) 69

b) 32

c) 67

b) 14

c) 3

b) 90

c) 40

b) 70

c) 50

b) 20

c) 79

b) 86

c) 42

b) 36

c) 73

b) 11

c) 12

25 + 42 = … a) 23

xii)

c) 2

73 – 23 = … a) 96

xi)

b) 9

8–6=… a) 2

xiii) 90 – 40 = … a) 50 xiv) 50 + 20 = … a) 30 xv)

27 – 7 = … a) 97

xvi) 64 + 22 = … a) 88 xvii) 98 – 35 = … a) 63 xviii)3 + 9 = … a) 10

212

Chapter 9: Self-Tests and Examinations

xix) The number that just comes before “54” is … a) 52 xx)

b) 53

c) 54

The number that just comes after “6” is … a) 5

b) 6

c) 7

xxi) The number that just comes before “7” is … a) 6

b) 7

c) 8

xxii) The number that just comes between “4 , 6” is … a) 4

b) 5

c) 6

xxiii) The number that just comes after “79” is … a) 78

b) 79

c) 80

xxiv) The number that just comes between “59 , 61” is … a) 59 xxv) a) 63 xxvi) a) 66

b) 60

c) 61

just comes before 65 b) 64

c) 65

just comes after 67 b) 67

c) 68

xxvii) 8 just comes before a) 7

b) 8

c) 9

213

Genius Student 1 Volume 2

xxviii) 9 just comes after a) 8

b) 9

xxix)

+

3

a) 6 xxx)

10

b) 7 9

-

=

a) 5 xxxi)

=

c) 10 c) 8 3

b) 6 8

+

=

a) 2 -

5

a) 10

=

c) 1 4

b) 5

xxxiii) 60

+

a) 30

=

c) 9 90

b) 20

xxxiv)

-

a) 90

10

=

c) 40 80

b) 80

xxxv)

+

a) 32

22

=

c) 70 64

b) 42 78

-

a) 67 xxxvii) 20 a) 20

9

b) 3

xxxii)

xxxvi)

c) 4

=

c) 52 11

b) 76 +

30

=

b) 30

c) 57 +

40 c) 10 214

Chapter 9: Self-Tests and Examinations

xxxviii)“8” can be read as …… a) eight

b) 8

c) Nine

xxxix)“Seven” can be written as … a) 7 xl)

c) 9

“61” can be read as …… a) 61

xli)

b) 8 b) Sixty-one

c) Sixty

“Fifty-six” can be written as …… a) 56

b) 65

c) 25

xlii) The units digit in “6” is … a) 0

b) 6

c) 2

xliii) The tens digit in “2” is … a) 0

b) 2

c) 1

xliv) The units digit in “76” is … a) 7

b) 6

c) 0

xlv) The tens digit in “39” is … a) 3

b) 9

c) 0

xlvi) The perfect tens in “12 , 30 , 45” is … a) 12

b) 30

c) 45

xlvii) The perfect tens in “80 , 42 , 64” is … a) 80

b) 42

c) 64 215

Genius Student 1 Volume 2

xlviii)The greatest number in the group “8 , 5 , 1” is … a) 1

b) 5

c) 8

xlix) The smallest number in the group “2 , 8 , 9” is … a) 2 l)

b) 50

c) 90

The smallest number in the group “25 , 54 , 35” is … a) 25

lii)

c) 9

The greatest number in the group “60 , 50 , 90” is … a) 60

li)

b) 8

b) 54

c) 35

The greatest number that can be formed from “2 , 4” is … a) 42

b) 24

c) 45

liii) The smallest number that can be formed from “9 , 6” is … a) 96 liv)

c) 99

The greatest number that can be formed from “8 , 0” is … a) 80

lv)

b) 69

b) 8

c) 85

The smallest number that can be formed from “0 , 7” is … a) 70

b) 07

c) 80 216

Chapter 9: Self-Tests and Examinations

lvi)

3-ten + 5-unit = … a) 53

b) 35

c) 50

lvii) 8-tens and 5-units is … a) 85

b) 58

c) 80

lviii) 3-units , 1-tens is … a) 31 lix)

b) 86

c) 60

b) 5

c) 6

b) 7

c) 30

b) 5

c) 50

b) 50

c) 80

b) 90

c) 50

b) 10

c) 0

85 = 80 + … a) 8

lxi)

c) 30

8-unit + 6-ten = … a) 68

lx)

b) 13

30 + … = 37 a) 3

lxii) … + 3 = 53 a) 3 lxiii) 80 = 30 + … a) 30 lxiv) 40 + … = 90 a) 40 lxv) … + 60 = 60 a) 60

217

Genius Student 1 Volume 2

lxvi) 6 …… 3 = 9 a) +

b) -

c) >

b) -

c) >

lxvii) 9 …… 3 = 6 a) +

lxviii)85 …… 12 = 97 a) +

b) -

c) >

lxix) 45 …… 34 = 11 a) +

b) -

c) >

lxx) 5 + 3 > 7 …… 2 a) +

b) -

c) >

lxxi) 6 + 2 < 8 …… 1 a) +

b) -

c) >

lxxii) 54 …… 22 > 25 + 43 a) +

b) -

c) >

lxxiii)85 …… 24 < 34 + 54 a) +

b) -

c) >

lxxiv)99 …… 34 > 56 + 15 a) +

b) -

c) >

lxxv) 64 – 34 < 42 …… 31 a) +

b) -

c) > 218

Chapter 9: Self-Tests and Examinations

lxxvi)The shaded part in a) half

is …

b) quarter

c) otherwise

lxxvii)The shaded part in a) half

is …

b) quarter

c) otherwise

lxxviii)The shaded part in a) half

is …

b) quarter

c) otherwise

lxxix)The shaded part in a) half lxxx) The solid a) cone lxxxi)The shape a) circle lxxxii)The solid a) cube

is …

b) quarter

is called …… b) circle

c) cylinder is called ……

b) cylinder

lxxxiv)The solid a) cube lxxxv)The shape a) rectangle

c) cone

is called …… b) cuboid

lxxxiii)The shape a) rectangle

c) otherwise

c) rectangle is called ……

b) triangle

c) square

is called …… b) cuboid

c) rectangle

is called …… b) triangle

c) square 219

Genius Student 1 Volume 2

Self-Test IV Word problems: i) Look at the opposite toys then, complete a) The price of the car and the price of the ball = …… …… = L.E ……

L.E 31

L.E 23

b) The difference price between the car and the plane = …… …… = L.E …… c) The total price of the plane and the price of the ball = …… …… = L.E ……

L.E 5

d) The difference price between the plane and the ball = …… + …… = L.E …… e) If you have L.E 58. Then the remainder with you after buying the car will = …… …… = L.E …… f) The total price of the plane , the ball and the car = …… …… …… = L.E …… g) The price of the car is greater than the price of the ball = …… …… = L.E …… 220

Chapter 9: Self-Tests and Examinations

ii) Look at the prices of the opposite toys then, complete

L.E 25

a) The total price of the boat and the price of doll = …… …… = L.E …… b) The difference price of the horse and the price of doll = …… …… = L.E ……

L.E 13

L.E 10

c) The total price of the doll and the price of horse = …… …… = L.E …… d) The difference price between the boat and the price of horse = …… …… = L.E …… e) If you have L.E 35. Then the remainder with you after buying the boat will = …… …… = L.E …… f) The total price of the doll, the boat and the horse = …… …… …… = L.E …… g) The price of the doll is less than the price of the boat = …… …… = L.E ……

221

Genius Student 1 Volume 2

Self-Test V Selected problems: i)

Complete 0

ii)

6

10

Arrange the numbers in ascending order: a) 4 , 9 , 3 , 1 , 7 b) 6 , 0 , 8 , 10 , 3

iii)

Arrange the numbers in descending order: a) 3 , 8 , 1 , 5 , 6 b) 9 , 0 , 5 , 7 , 10

iv)

Circle the smallest number. a) 5 , 4 , 8 , 3 , 4 , 10 b) 2 , 0 , 7 , 6 , 9

v)

Circle the greatest number. a) 5 , 2 , 7 , 3 , 1 , 9 , 6 222

Chapter 9: Self-Tests and Examinations

b) 8 , 2 , 9 , 3 , 5 , 6 vi)

Join the numbers in order 5

0

7

8

3 2 vii)

1 6

4

9

Complete using < , > or =: a)

3

4

b)

8

8

c)

5

5

d)

10

01

e)

1

0

f)

6

7

viii) Complete the missing: a)

5

c)




d)

6

f)


=

7

Join in order: 9

4

6

2 3

8 7

1

5

10

223

Genius Student 1 Volume 2

x)

Add: a)

b)

5 + 1

d)

+6 e)

5

0 + 8

f)

4

+ 3 xi)

c)

2

+2

4 + 6

Add: a)

1 + 9 =…

b)

2 + 1 =…

c)

5 + 5 =…

d)

9 + 0 =…

e)

4 + 3 =…

f)

3 + 6 =…

xii)

Join equal result 2 + 3

5 + 4

6 + 3

5 + 0

1 + 4 2 + 7

xiii) Complete the missing: a)

3 + … =8

b)

7 = 4

c)

… +

5 =5

d)

4 = … +

e)

1 + … =6

f)

10 = 5

+ … 2

+ …

xiv) Put the suitable sign < , > or =: a)

1

+

2

+

3

5 224

Chapter 9: Self-Tests and Examinations

b)

5

+

4

2

+

6

c)

8

+

1

10 +

0

xv)

Complete the missing: a)

3

+

b)

2

+

4




2

+

+

3


7

c)

7

2 < 8

d) 5

e)

5

3 = 2

f) 10 - 2 < 6

1

3 = 9 - 1 3 225

Genius Student 1 Volume 2

xix) Put the suitable sign < , > or = : a)

5 + 2

8

b) 6 - 2

4 + 0

c)

9 - 2

6

d) 1 + 3

6 - 1

e)

7 + 1

8

f)

3 + 4

xx)

7 - 2

Complete the missing: a) 2 + … < 5

b) … - 3 > 4

c) … - 3 = 2

d) 4 + … = 9

e)

8 - … > 3

f) 8 - … < 4

g) … + 3 = 6

h) … - 2 = 6

xxi) Join equal result: 1 + 6 10 - 2 4 + 3

5 + 3 8 - 1 3 + 2

6 - 1 10 - 3 8 - 0

xxii) Join in order 3 + 6 10 - 1 1 + 1

5 + 3 8 - 1 3 + 3

6 - 1 10 - 10 8 - 4

226

Chapter 9: Self-Tests and Examinations

xxiii) Complete a)

2 units

and

5 tens

is



b)

4 ten

,

7 unit

=



c)

… unit

+

… ten

=

46

and

… units

is

87

d) … tens

xxiv) Circle the tens digit: a) 45 , 12 , 8 , 10 , 5 b) 8 , 97 , 43 , 74 , 7 xxv) Circle the units digit: a) 1 , 70 , 87 , 37 , 9 b) 87 , 6 , 78 , 24 , 3 xxvi) Join in order 10

60

20

30

90 70

50

40

80

60 - 50

30 + 40

xxvii)Join equal result: 10 + 30 20 + 50

90 - 80

50 - 10

227

Genius Student 1 Volume 2

xxviii)Write the number just after: a) 45 , …

b) 7 , …

c) 9 , …

d) 21 , …

e) 64 , …

f) 89 , …

xxix) Write the number just before: a) … , 41

b) … , 64

c) … , 79

d) … , 32

e) … , 5

f)

… , 53

xxx) Write the number just between: a) 5 , … , 7

b) 78 , … , 80

c) 12 , … , 14

d) 24 , … , 26

e) 61 , … , 63

f) 7 , … , 9

xxxi) Complete a) 3 + 50 = …

b) 40 + 20 = …

c) 60 + 5 = …

d) 10 + 50 = …

xxxii)Complete a) … < 45

b) 74 < …

c) 34 > …

d) … > 41

xxxiii)Put the suitable sign < , > or =: a)

12 … 74

b)

81 … 18

c)

45 … 25

d)

34 … 64

e)

31 … 31

f)

64 … 64

xxxiv)Arrange the following numbers in ascending order: a) 25 , 84 , 64 , 31 , 64

228

Chapter 9: Self-Tests and Examinations

b) 64 , 10 , 9 , 75 , 34 xxxv) Arrange the following numbers in descending order: a) 56 , 48 , 91 , 8 , 41 b) 64 , 7 , 34 , 82 , 45 xxxvi)Put the suitable sign < , > or =: a)

20 + 30

40

b)

80

20 + 40

c)

10 + 50

30

d)

90

0

80 + 10

e)

50 + 40

30 + 60

-

30

-

10 30

xxxvii)Complete the missing: a)

80

-

b)

40

+

c)

70

-

d)

+

< 10 50

20

>

+

30

-

40

=

50

+

10

>

90

-

40

xxxviii)Add: a)

2 3 +5 1

b)

5 2

c) 8 0

+4 7

+ 1 3

229

Genius Student 1 Volume 2

d)

8 2

e)

+1 5

1 3 +7 6

f)

5 4 + 2 5

xxxix)Add:

xl)

a)

64 + 22 = …

b) 45 + 21 = …

c)

43 + 24 = …

d) 31 + 18 = …

e)

33 + 22 = …

f)

25 + 11 = …

From the opposite toys, … Complete a) The price of the the price of the

and =

L.E 32

…… …… = L.E …… b) The difference price between the

L.E 10

and the

= …… …… = L.E …… c) The total price of the and the price of the

L.E 43

= …… …… = L.E …… d) The difference price between the

and the

= …… …… = L.E …… 230

Chapter 9: Self-Tests and Examinations

e) If you have L.E 58. Then the remainder with you after buying the

will =

…… …… = L.E …… f) The total price of the , the

and the = …… …… ……

= L.E …… g) The price of the

is

greater than the price of the

= …… …… =

L.E …… xli)

join equal result: 12 + 14 25 + 11

21 + 5 10 + 15

24 + 33 34 + 23

231

Genius Student 1 Volume 2

xlii) Join in order 10 + 23

64 + 11

34 + 52

41 + 58

40 + 24

71 + 24

xliii) Subtract: a)

5 2

b)

- 3 1 d)

4 8 - 1 7

9 8

c) 4 7

- 5 8

-3 4

9 3

f) 8 7

- 9 3

-5 6

e)

xliv) Subtract a)

45 - 22 = …

b)

99 - 88 = …

c)

64 - 34 = …

d)

49 - 27 = …

e)

27 - 16 = …

f)

37 - 27 = …

232

Chapter 9: Self-Tests and Examinations

xlv) Join equal result 54 - 13

31 + 43

85 - 11

61 - 20

31 + 10

97 - 23

xlvi) Join in order: 24 - 13

21 + 5

52 + 24

77 - 12

99 - 55

34 + 53

xlvii) Complete the missing: a)

57 -

b)

= 20

- 20 = 45

c)

- 24 = 14

d) 56 -

= 21

e)

- 28 = 11

f)

= 33

75 -

xlviii)Put the suitable sign < , > or =: a)

72

-

21

24 + 11

b)

92

-

81

37

-

21

c)

11 + 43

67

-

24

d)

99

76

-

34

-

54

233

Genius Student 1 Volume 2

xlix) Complete the missing: a)

+ 21 > 67 - 24

b) 54 -

< 42 + 14

c) 31 + 24 = 78 d) 24 + 35 > l)

- 30

Complete the missing digit: a)

5 -

d)

li)

3 2 1 2

+

b)

3 7 6

3

c)

+ 5 6 7 e)

8 - 3 3 5

f) - 1 2 4 5

1 8 +

9 9

Complete the missing: a)

… + 28 = 89

b)

… - 23 = 24

c)

54 - … = 13

d)

52 + … = 78

e)

34 + … = 64

f)

87 - … = 24

234

Chapter 9: Self-Tests and Examinations

lii)

Put the suitable sign (√) or (X): a) The shape

.is called rectangle ( )

b) The shape

.is called pyramid ( )

c) The solid

.is called

d) The solid

.is called triangle ( )

e) The solid

.is called

f) The shape

.is called cylinder ( )

g) The solid

.is called

cone

( )

h) The solid

.is called

cuboid

( )

i) The shape

.is called

square

( )

j)

.is called

cube

( )

The solid

ball

circle

( )

( )

235

Genus Student 1 Volume 2

liii)

Join each solid to its name

a)

The circle

b)

The cuboid

c)

The ball

d)

The rectangle

e)

The pyramid

f)

The square

g)

The cylinder

h)

The cube

i)

The cone

j)

The triangle

236

Chapter 9: Self-Tests and Examinations

liv)

Count, then write the number and the name a)

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

b)

237

Genus Student 1 Volume 2

c)

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

....

d)

238

Chapter 9: Self-Tests and Examinations

lv)

Color quarter of each of the following shape

a)

b)

c)

d)

e)

f)

lvi)

Color half of each of the following shape

a)

b)

c)

d)

e)

f)

239

Genus Student 1 Volume 2

lvii) Write the value of the shaded part. a)

b)

..…… c)

..….. d)

..…… e)

..….. f)

..…… g)

..….. h)

..…… i)

..….. j)

..……

..….. 240

Examinations Exam Style Paper I Answer the following question: 1- Complete: a) 24 + 35 = …

b) 85 - 24 = …

c)

58 -

d)

e)

1 3 +5 2

7

= … f)

8 + 21 = … g)

5 7 -3 2

3 3 +4 5

2- a) Put the suitable sign (√) or (X): i)

21 + 54 = 75

ii)

38 - 17 = 20 +

iii)

86 - 24 = 44

3

b) Complete as in the pattern: 22 , 24 , 26 , … , … , … , … , … , 3- a) Put the suitable sign “ + ” or “ - “: i)

24

12 = 36

ii) 45

21 > 58

iii) 85

24 < 67

iv) 67

33 = 34

b) Arrange in ascending order: 41 , 35 , 63 , 23 , 86 , 15

(

)

(

)

(

)

Genius Student 1 Volume 2

4- a) Join equal result: 19 + 10 51 + 25

63 - 0

31 + 45

97 - 21

69 - 30

36 + 3

89 - 26

b) Put the suitable sign < , > or =: i)

56

ii) 63 - 13

31

iii) 31 + 26

39

89 - 32

5- a) Color the parts which express the fraction under the figure

1 4

2 4

1 3

Triangle

Ball

b) Join:

Cylinder

242

Chapter 9: Self-Tests and Examinations

Exam Style Paper II Answer the following questions: 1- Complete; i)

5 units

and

4 tens

is

ii)

… units

,

8 tens

is

iii)

… tens

iv)

… units

v)

2

and 7 units is 6 ,

… tens is 3 4

The greatest number that are formed from “5 , 9” is …

vi) The smallest number that are formed from “3 , 8” is … 2- Arrange the numbers in ascending order: 10 , 32 , 24 , 71 , 59 , 28 , 7 , 0 3- Put the suitable sign < , > or =: i) 4 + 2

6

ii) 28 + 1

27 + 0

iii) 13 + 6

23

iv) 35 + 1

30 + 7

4- a) Join equal results: 8-0 18 - 15

4-1 7+1

48 - 34 11 + 13

22 + 2 19 - 5

243

Genius Student 1 Volume 2

b) Complete: i) 40 +

ii) 3 + 6
60

iii) 80 - 50
7

ii)

iii) 8 + 1 = 3 +

4 + 5
2 +

b) I have L.E 38. How much money will be left after I buy this toy?

L.E 31

The remainder = ….. - …… = L.E …… 4- a) Join the coloured part in each shape to the suitable word:

half

Quarter

b) Arrange the numbers in ascending order: 39 , 12 , 61 , 56 , 80 , 34 12 245

Genius Student 1 Volume 2

5- Count then, complete the table:

Shape

Square

Number

....

Rectangle Triangle ....

....

Circle ....

Exam Style Paper IV Answer the following questions: 1- Find the result of: i) 14 + 40 = …

ii) 38 - 30 = …

iii) 87 - 17 = …

iv) 62 + 34 = …

2- Put the suitable sign < , > or =: i)

2

+

4

10 -

3

ii) 44 + 55

99 -

0

iii) 19 - 12

15 -

9

iv) 48 -

28 +

2

1

246

Chapter 9: Self-Tests and Examinations

3- a) Complete as in the pattern: i)

20 , 25 , … , … , … ,

ii)

8 ,

28 , … ,

iii)

6 ,

16 , … , 36 ,

b)

45

… …

Look at the opposite toys then, complete i)The price of the car and the price of the ball = …… …… = L.E ……

L.E 28

L.E 15

ii)The difference price between the car and the ball = …… …… = L.E …… 4- a) Complete i)

4 units

and

ii)

… units

,

… tens is 5 7

iii)

5 ten

+

… unit = … 9

3 tens

is …

b) Join each solid to its name:

A cube

A cylinder

A cone

A ball

5- a) Arrange the numbers in descending order: 40 , 15 , 72 , 55 , 13 , 81

247

Genius Student 1 Volume 2

b) Join the coloured part in each shape to the suitable word:

Half

Quarter

Exam Style Paper V Answer the following questions: 1- Complete: i)

82 - 41 = …

ii)

47 + 41 = …

iii) 6 + … = 10

iv)

… -

v) 7 8

vi)

-5 3

vii)

1 2 + 5 3

3

= 5 6 4

-1 4

2- a) Write the suitable number: i)

4 + 3 …

b) Put the suitable sign “ + ” or “ - “: i)

5 … 2 > 3

ii)

9 … 1 < 8 … 2

3- Complete: i)

… unit

+

… ten

= 7 4 248

Chapter 9: Self-Tests and Examinations

ii)

7-tens

iii) …-units iv)

,

4-units =

+

8-tens

=

2

The number that just comes before “39” is …

v) The smallest number that are formed from “8 , 0” is … vi) The two consecutive numbers that just comes before “39” is …… , …… 4- a) Arrange the following numbers in descending order: 39 , 43 , 77 , 12 , 8 , 84 b) Complete as in the pattern: 0 ,

5 ,

10 ,

… ,

… ,

… ,



5- a) Choose the correct answer i) 5 = …… [5–5 ,

10 – 5 ,

3–2 ]

[ 30 + 6 , 60 + 3 ,

6+3]

ii) 36 = …… b) Complete using < , > or =: i)

2 + 50

42

ii) 30 + 20

40 + 20

6- a) Join each solid to its name: Cube

Pyramid

Ball 249

Genius Student 1 Volume 2

b) Write the value of the shaded part:





Exam Style Paper VI Answer the following questions: 1- Complete i)

5 8

ii) 8 5

+2 1

-3 0

iii) 4 5 +

iv) - 3 4

8 7

1 2

2- a) Arrange the numbers in ascending order: 52 , 8 , 14 , 64 , 9 , 24 b) Complete i)The greatest number that are formed from 2 and 5 is …… ii)The smallest number that are formed from 0 and 5 is …… iii)The number that just comes before 59 is …… iv)The number that just comes after 28 is …… 3- a) Complete using “ + ” or “ - “: i)

7

2 > 8

ii)

9

3 < 7 250

Chapter 9: Self-Tests and Examinations

iii) 11

iv) 52

24 = 35

21 = 31

b) Complete using < , > or =: i)

2 + 5

8

ii) 12 + 24

30

iii) 8 - 2

6

iv) 57 - 34

27

4- a) Complete i)

3-units

,

2-tens =

ii)

…-tens

+

5-units = 3

iii) …-units

,

…-tens = 2 5

iv)

+

…-units =

5-tens

7

b) Complete the table:

4

10 Six

5- a) Write the name of each of the following:









b) Write the value of the shaded part:

251

Genius Student 1 Volume 2

Exam Style Paper VII Answer the following questions: 1- Complete: i)

…-units and 2-tens is

ii)

6-units

,

4

7-tens is

iii)

The greatest number formed from 5 and 3 is …

iv)

The number that comes before 10 is …

v)

8 + … = 10

2- Find the result: i) 2 5

ii) 8 9

iii) 4 8

+7 2

-8 3

+3 1

iv)

7 8 -

3

3- a) Complete as in the pattern: …,

…,

…,

20 ,

25 ,

30 ,

…,



b) Complete using < , > or =: i) 5 + 2 iii)

8

7 5 - 3

ii) 21 iv)

34

85

12

34 - 22

4- a) Complete using “ + ” or “ - “: i) 5

2 >

5

ii)

iii)24

11 =

13

iv) 6

56

= 24 3
12

ii) … - 15 < 17

b) Count, then write the number and the name

....

....

....

....

....

....

....

....

....

....

....

....

255

Genius Student 1 Volume 2

Exam Style Paper IX Answer the following questions: 1- a) Choose the correct answer: i) 45 …… 41

[ < ,

> ,

= ]

ii) 45 = …… + 5

[ 5 ,

40 ,

45 ]

iii)9 - …… = 2

[ 7 ,

9 ,

2

]

b) Arrange the following numbers in ascending order: 7 6,8,9,1,3,7 2- a) Circle the perfect tens 12 , 10 , 80 , 45 , 30 , 74 , 60 b) Complete 4



20



9



Fifty-one



Nineteen



3- Complete i) 3 +

ii)

iii) -2

8

5

2

+5

iv) 7 -

5

6 5

1 3

41 + 15

28 - 12

4- a) Join in order 2+3

5-3

256

Chapter 9: Self-Tests and Examination

b) Color quarter of each of the following shape

5- a) Complete using “ + ” or “ - “ i)5 …… 4 = 9

ii)74 …… 21 = 53

b) If you have L.E 35. Then the remainder with you after buying the car will = …… …… = L.E ……

L.E 22

6- Join: Cone Cuboid Circle Pyramid Rectangle Cylinder

257

Genius Student 1 Volume 2

Exam Style Paper X Answer the following questions: 1- Find the result: i)

8–2=…

ii)

9+1=…

iii)

12 + 34 = …

iv)

89 – 24 = …

v)

55 - 4 = …

vi)

7 + 51 = …

2- Complete i)

ii) 73 = 98 - …

83 = 80 + …

iii) 2 units , 4 tens is … iv) 2 + 5 > … - 2 v) 21 + … = 54

vi) 31 – 24 < … + 42

3- a) Choose the correct answer: i) The greatest number formed from “5 , 9” is … [ 59 ,

95 ,

9 ]

ii) The smallest number in the group “5 , 3” is … [ 5 ,

3 ,

53 ]

[ < ,

> ,

= ]

iii) 23 + 12 …… 35 b) Complete i)

The solid

ii)

The shaded part in

is called …… represents ……

4- a) Complete as in the pattern: 20 , 25 , 30 , …… , …… , …… , …… 258

Chapter 9: Self-Tests and Examination

b) Put the suitable sign (√) or (X): i)

80 is 8 ten and 8 unit

( )

ii)

45 + 5 = 50

( )

iii)

12 + 23 < 84 – 24

( )

iv)

“forty-two” can be written as “43”

( )

5- a) Color half of each of the following shape

b) If you have opposite ball. Then the price two balls will = …… …… = L.E ……

L.E 13

6- Write the name of each of the following:

…….

…….

……..

……

…….

259

Genius Student 1 Volume 2

Draw something you love

260

Mathematical Terms in Arabic

Mathematical Terms arrange

A

ascending order add addition ball bigger biggest between complete count color complete as in pattern choose can be read as can be written as consecutive number color part circle cuboid(prism) cube cone cylinder draw

B

C

equal empty squares

‫ﻛرة‬ ‫اﻛﺑر‬ ‫اﻷﻛﺑر‬ ‫ﺑﯾن‬ ‫اﻛﻣل‬ ‫ﻋد او أﺣﺻﻲ اﻟﻌدد‬ ‫ﻟون‬ ‫أﻛﻣل ﻛﻣﺎ ﻓﻲ اﻟﻧﻣوذج‬ ‫اﺧﺗﺎر‬ ‫ﻣﻣﻛن ﻗراءﺗﮫ ك‬ ‫ﻣﻣﻛن ﻛﺗﺎﺑﺗﮫ ك‬ ‫اﻟﻌدد ﺗﺎﻟﻲ ﻣﺑﺎﺷرة‬

D

descending order difference

‫رﺗب اﻻﻋداد‬ ‫ﺗﺻﺎﻋدﯾﺎ ﻣن اﻟﺻﻐﯾر‬ ‫اﻟﻰ اﻟﻛﺑﯾر‬ ‫اﺟﻣﻊ‬ ‫ﻋﻣﻠﯾﺔ اﻟﺟﻣﻊ‬

E

‫اﻟﺟزء اﻟﻣﻠون‬ ‫ارﺳم داﺋرة ﺣول‬ ‫ﻣﺗوازي ﻣﺳﺗطﯾﻼت‬ ‫ﻣﻛﻌب‬ ‫ﻣﺧروط‬ ‫اﺳطوﺗﻧﺔ‬ ‫ارﺳم‬ ‫ﺗﻧﺎزﻟﯾﺎ ﻣن اﻟﻛﺑﯾر اﻟﻰ‬ ‫اﻟﺻﻐﯾر‬ ‫ﻧﺎﺗﺞ اﻟطرح‬ ‫ﯾﺳﺎوي‬ ‫اﻟﻣرﺑﻌﺎت اﻟﻔﺎرﻏﺔ‬

formed from Form sets

F

Form sets of 2 families greater greater than > greatest half longer longest less than < Join join the equal join in order just after just before match missing digits ones put perfect tens price pyramid quarter

G

H I

J

M O P

Q R

‫ﻣﻛون ﻣن‬ ‫ﻛون ﻣﺟﻣوﻋﺎت‬ ‫ﻛون ﻣﺟﻣوﻋﺎت ﻣن‬ ‫اﺛﻧﯾن‬ ‫ﻣﻛوﻧﺎت اﻟﻌدد‬ ‫أﻛﺑر ﻣﻊ اﻻﻋداد‬ ‫أﻛﺑر ﻣن‬ ‫اﻷﻛﺑر ﻣﻊ اﻻﻋداد‬ ‫ﻧﺻف‬ ‫أطول‬ ‫اﻷطول‬ ‫اﺻﻐر ﻣن ﻣﻊ اﻻﻋداد‬ ‫وﺻل‬ ‫وﺻل اﻟﻣﺗﺳﺎوي‬ ‫وﺻل ﺑﺎﻟﺗرﺗﯾب‬ ‫اﻟﻌدد اﻟﺗﺎﻟﻲ ﻣﺑﺎﺷرة‬ ‫اﻟﻌدد اﻟﺳﺎﺑﻖ ﻣﺑﺎﺷرة‬ ‫وﺻل‬ ‫اﻷرﻗﺎم اﻟﻧﺎﻗﺻﺔ‬ ‫اﻻﺣﺎد‬ ‫ﺿﻊ‬ ‫اﻟﻌﺷرات اﻟﺗﺎﻣﺔ‬ ‫ﺳﻌر او ﺛﻣن‬ ‫اﻟﮭرم‬ ‫رﺑﻊ‬

261

Genus Student 1 Volume 2 remainder rectangle smaller smallest subtract subtraction sum shaded part solid shape square tens tens digit 2-digit number

S

T

total price triangle units units digit write write in letters write in digits

U W

‫اﻟﺑﺎﻗﻲ‬ ‫ﻣﺳﺗطﯾل‬ ‫اﺻﻐر‬ ‫اﻷﺻﻐر‬ ‫اطرح‬ ‫ﻋﻣﻠﯾﺔ اﻟطرح‬ ‫ﻧﺎﺗﺞ اﻟﺟﻣﻊ‬ ‫اﻟﺟزء اﻟﻣظﻠل‬ ‫ﻣﺟﺳم ﺛﻼﺛﻲ اﻻﺑﻌﺎد‬ ‫ﺷﻛل ﺛﻧﺎﺋﻲ اﻻﺑﻌﺎد‬ ‫ﻣرﺑﻊ‬ ‫ﺧﺎﻧﺔ اﻟﻌﺷرات‬ ‫رﻗم اﻟﻌﺷرات‬ ‫ﻋدد ﻣﻛون ﻣن رﻗﻣﯾن‬ ‫اﻟﺳﻌر اﻹﺟﻣﺎﻟﻲ او‬ ‫اﻟﻛﻠﻲ‬ ‫ﻣﺛﻠث‬ ‫ﺧﺎﻧﺔ اﻻﺣﺎد‬ ‫رﻗم اﻻﺣﺎد‬ ‫أﻛﺗب‬ ‫أﻛﺗب ﺑﺎﻟﺣروف‬ ‫أﻛﺗب ﺑﺎﻷرﻗﺎم‬

262

Congratulations You have finished your course for Genius Student 1 Volume 2. Follow us on Amazon for new textbooks

263