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