Squares 1 to 100
Squares 1 to 100 is the list of squares of all numbers from 1 to 100. The values of squares from 1 to 100 range from 1 to 10000. Remembering these values will help students to simplify the timeconsuming math equations quickly. The square 1 to 100 in the exponential form is expressed as (x)^{2}.
Square 1 to 100:
 Exponent form: (x)^{2}
 Highest Value: 100^{2} = 10000
 Lowest Value: 1^{2} = 1
1.  Square 1 to 100 
2.  Square 1 to 100 PDF 
3.  How to Calculate Square 1 to 100? 
4.  FAQs 
Squares 1 to 100 Chart
Squares from 1 to 100
Learning squares 1 to 100 can help students to recognize all perfect squares up to 5 digits and approximate a square root by interpolating between known squares. The values of squares 1 to 100 are listed in the table below.
List of All Squares from 1 to 100 

1^{2} = 1 
2^{2} = 4 
3^{2} = 9 
4^{2} = 16 
5^{2} = 25 
6^{2} = 36 
7^{2} = 49 
8^{2} = 64 
9^{2} = 81 
10^{2} = 100 
11^{2} = 121 
12^{2} = 144 
13^{2} = 169 
14^{2} = 196 
15^{2} = 225 
16^{2} = 256 
17^{2} = 289 
18^{2} = 324 
19^{2} = 361 
20^{2} = 400 
21^{2} = 441 
22^{2} = 484 
23^{2} = 529 
24^{2} = 576 
25^{2} = 625 
26^{2} = 676 
27^{2} = 729 
28^{2} = 784 
29^{2} = 841 
30^{2} = 900 
31^{2} = 961 
32^{2} = 1024 
33^{2} = 1089 
34^{2} = 1156 
35^{2} = 1225 
36^{2} = 1296 
37^{2} = 1369 
38^{2} = 1444 
39^{2} = 1521 
40^{2} = 1600 
41^{2} = 1681 
42^{2} = 1764 
43^{2} = 1849 
44^{2} = 1936 
45^{2} = 2025 
46^{2} = 2116 
47^{2} = 2209 
48^{2} = 2304 
49^{2} = 2401 
50^{2} = 2500 
51^{2} = 2601 
52^{2} = 2704 
53^{2} = 2809 
54^{2} = 2916 
55^{2} = 3025 
56^{2} = 3136 
57^{2} = 3249 
58^{2} = 3364 
59^{2} = 3481 
60^{2} = 3600 
61^{2} = 3721 
62^{2} = 3844 
63^{2} = 3969 
64^{2} = 4096 
65^{2} = 4225 
66^{2} = 4356 
67^{2} = 4489 
68^{2} = 4624 
69^{2} = 4761 
70^{2} = 4900 
71^{2} = 5041 
72^{2} = 5184 
73^{2} = 5329 
74^{2} = 5476 
75^{2} = 5625 
76^{2} = 5776 
77^{2} = 5929 
78^{2} = 6084 
79^{2} = 6241 
80^{2} = 6400 
81^{2} = 6561 
82^{2} = 6724 
83^{2} = 6889 
84^{2} = 7056 
85^{2} = 7225 
86^{2} = 7396 
87^{2} = 7569 
88^{2} = 7744 
89^{2} = 7921 
90^{2} = 8100 
91^{2} = 8281 
92^{2} = 8464 
93^{2} = 8649 
94^{2} = 8836 
95^{2} = 9025 
96^{2} = 9216 
97^{2} = 9409 
98^{2} = 9604 
99^{2} = 9801 
100^{2} = 10000 
The students are advised to memorize these squares 1 to 100 values thoroughly for faster math calculations.
Square 1 to 100  Even Numbers
The table below shows the values of squares from 1 to 100 for even numbers.
2^{2} = 4 
4^{2} = 16 
6^{2} = 36 
8^{2} = 64 
10^{2} = 100 
12^{2} = 144 
14^{2} = 196 
16^{2} = 256 
18^{2} = 324 
20^{2} = 400 
22^{2} = 484 
24^{2} = 576 
26^{2} = 676 
28^{2} = 784 
30^{2} = 900 
32^{2} = 1024 
34^{2} = 1156 
36^{2} = 1296 
38^{2} = 1444 
40^{2} = 1600 
42^{2} = 1764 
44^{2} = 1936 
46^{2} = 2116 
48^{2} = 2304 
50^{2} = 2500 
52^{2} = 2704 
54^{2} = 2916 
56^{2} = 3136 
58^{2} = 3364 
60^{2} = 3600 
62^{2} = 3844 
64^{2} = 4096 
66^{2} = 4356 
68^{2} = 4624 
70^{2} = 4900 
72^{2} = 5184 
74^{2} = 5476 
76^{2} = 5776 
78^{2} = 6084 
80^{2} = 6400 
82^{2} = 6724 
84^{2} = 7056 
86^{2} = 7396 
88^{2} = 7744 
90^{2} = 8100 
92^{2} = 8464 
94^{2} = 8836 
96^{2} = 9216 
98^{2} = 9604 
100^{2} = 10000 
Square 1 to 100  Odd Numbers
The table below shows the values of squares from 1 to 100 for odd numbers.
1^{2} = 1 
3^{2} = 9 
5^{2} = 25 
7^{2} = 49 
9^{2} = 81 
11^{2} = 121 
13^{2} = 169 
15^{2} = 225 
17^{2} = 289 
19^{2} = 361 
21^{2} = 441 
23^{2} = 529 
25^{2} = 625 
27^{2} = 729 
29^{2} = 841 
31^{2} = 961 
33^{2} = 1089 
35^{2} = 1225 
37^{2} = 1369 
39^{2} = 1521 
41^{2} = 1681 
43^{2} = 1849 
45^{2} = 2025 
47^{2} = 2209 
49^{2} = 2401 
51^{2} = 2601 
53^{2} = 2809 
55^{2} = 3025 
57^{2} = 3249 
59^{2} = 3481 
61^{2} = 3721 
63^{2} = 3969 
65^{2} = 4225 
67^{2} = 4489 
69^{2} = 4761 
71^{2} = 5041 
73^{2} = 5329 
75^{2} = 5625 
77^{2} = 5929 
79^{2} = 6241 
81^{2} = 6561 
83^{2} = 6889 
85^{2} = 7225 
87^{2} = 7569 
89^{2} = 7921 
91^{2} = 8281 
93^{2} = 8649 
95^{2} = 9025 
97^{2} = 9409 
99^{2} = 9801 
How to Calculate the Values of Squares 1 to 100?
In order to calculate the squares from 1 to 100, we can use any one of the following methods:
Method 1: Multiplication by itself:
In this method, the number is multiplied by itself and the resultant product gives us the square of that number. For example, the square of 8 = 8 × 8 = 64. Here, the resultant product “4” give us the square of the number “2.” This method works well for smaller numbers.
Method 2: Using basic algebraic identities: For example, to find the square of 49, we can express 49 as:
 Option 1: (40 + 9)
 Option 2: (50  1)
In the next step, we use the basic algebraic identity formula and get Option 1: [40² + 9² + (2 × 40 × 9)] or Option 2: [50² + 1²  (2 × 50 × 1)]. Solving the expressions further, we get Option 1: (800 + 81 + 720) = 2401 or Option 2: (2500 + 1  100) = 2401. The form where ‘b’ has a smaller value should be preferred.
Solved Examples on Square 1 to 100

Example 1: If a circular tabletop has a radius of 50 inches. Find the area of the tabletop in sq. inches?
Solution:
Area of circular tabletop = πr^{2} = π (20)^{2}
Using values from square 1 to 100 chart;
i.e. A = 2500π
Therefore, the area of the tabletop = 7850 inches^{2}.

Example 2: Find the area of a square window whose side length is 34 inches.
Solution:
Area of square window (A) = Side^{2}
i.e. A = 34^{2} = 1156
Therefore, the area of a square window is 1156 inches^{2}.

Example 3: Two square wooden planks have sides 30m and 42m respectively. Find the combined area of both the wooden planks?
Solution:
Area of wooden plank = (side)^{2}
⇒ Area of 1st wooden plank = 30^{2} = 900 m^{2}
⇒ Area of 2nd wooden plank = 42^{2 }= 1764 m^{2}
Therefore, the combined area of wooden planks is 900 + 1764 = 2664 m^{2}

Example 4: Find the sum of the first 100 odd numbers.
Solution:
The sum of first n odd numbers is given as n²
⇒ Sum of first 100 odd numbers (n) = 100²
Using values from square 1 to 100 chart, the sum of first 100 odd numbers = 100² = 10000
FAQs on Square 1 to 100
What is the Value of Squares 1 to 100?
The square 1 to 100 is the list of numbers obtained by multiplying a nonfraction integer by itself. It will always be a positive number. Between 1 to 100, the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 are even square numbers and 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99 are odd square numbers.
What are the Methods to Calculate Squares from 1 to 100?
We can calculate the square of a number by using the a² + b² + 2ab formula. For example (12)² can be calculated by splitting 12 into 10 and 2. Other methods that can be used to calculate squares from 1 to 100:
 Finding Square by Column Method
 Finding Squares by Diagonal Method
If you take Squares from 1 to 100, how many of them will be Even Numbers?
The even numbers between 1 to 100 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98. Since the squares of even numbers are always even. Therefore, the value of squares of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 will be even.
Using Squares 1 to 100 Chart, find the value of 100 plus 70 Square plus 50 Square.
The value of 70² is 4900 and 50² is 2500. So, 100 + 70² + 50² = 7500. Hence, the 100 plus 70 Square plus 50 Square is 7500.
How Many Numbers in Squares 1 to 100 are Odd?
The odd numbers between 1 to 100 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99. Since the squares of odd numbers are always odd. Therefore, the value of squares of numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99 will be odd.
What is the Sum of all Perfect Squares from 1 to 100?
The sum of all perfect squares from 1 to 100 is 321 i.e. 1 + 4 + 9 + 16 + 25 + 36 + 49 + 81 + 100 = 321.
What Values of Squares from 1 to 100 are Between 30 and 50?
The values of squares 1 to 100 between 30 and 50 are 6² (36) and 7² (49).