Square 1 to 20
Square 1 to 20 is the list of squares of all the numbers from 1 to 20. The value of squares from 1 to 20 ranges from 1 to 400. Memorizing these values will help students to simplify the timeconsuming equations quickly. The Square 1 to 20 in the exponential form is expressed as (x)^{2}.
Square 1 to 20:
 Exponent form: (x)^{2}
 Highest Value: 20^{2} = 400
 Lowest Value: 1^{2} = 1
1.  Square 1 to 20 
2.  Square 1 to 20 PDF 
3.  How to Calculate Square 1 to 20? 
4.  FAQs 
Squares 1 to 20 Chart
Squares from 1 to 20
Learning squares 1 to 20 can help students to recognize all perfect squares from 1 to 400 and approximate a square root by interpolating between known squares. The values of squares 1 to 20 are listed in the table below.
List of All Squares from 1 to 20 

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 
The students are advised to memorize these squares 1 to 20 values thoroughly for faster math calculations.
Square 1 to 20  Even Numbers
The table below shows the values of squares 1 to 20 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 
Square 1 to 20  Odd Numbers
The table below shows the values of squares from 1 to 20 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 
How to Calculate the Values of Squares 1 to 20?
In order to calculate the squares from 1 to 20, we can use any one of the following methods:
Method 1: Multiplication by itself: For example, the square of 11 = 11 × 11 = 121. Here, the resultant product “121” gives us the square of the number “11.”
Method 2: Using basic algebraic identities: For example, to find the square of 18, we can express 18 as:
 (10 + 8)
 (20  2)
In the next step, we use the basic algebraic identity formula and get Option 1: [10² + 8² + (2 × 10 × 8)] or Option 2: [20² + 2²  (2 × 20 × 2)]. Solving the expressions further, we get Option 1: (100 + 64 + 160) = 324 or Option 2: (400 + 4  80) = 324.
Solved Examples on Square 1 to 20

Example 1: If a circular tabletop has a radius of 9 inches. Find the area of the tabletop in sq. inches?
Solution:
Area of circular tabletop = πr^{2} = π (9)^{2}
Using values from square 1 to 20 chart;
i.e. A = 81π
Therefore, the area of the tabletop = 254.34 inches^{2}.

Example 2: Find the area of a square window whose side length is 18 inches
Solution:
Area of square window (A) = Side^{2}
i.e. A = 18^{2} = 324
Therefore, the area of a square window is 324 inches^{2}.

Example 3: Two square wooden planks have sides 8m and 14m respectively. Find the combined area of both the wooden planks?
Solution:
Area of wooden plank = (side)^{2}
⇒ Area of 1st wooden plank = 8^{2} = 64 m^{2}
⇒ Area of 2nd wooden plank = 14^{2 }= 196 m^{2}
Therefore, the combined area of wooden planks is 64 + 196 = 260 m^{2}

Example 4: Find the sum of the first 20 odd numbers.
Solution:
The sum of first n odd numbers is given as n²
⇒ Sum of first 20 odd numbers (n) = 20²
Using values from squares from 1 to 20 chart, the sum of first 20 odd numbers = 20² = 400
FAQs on Square 1 to 20
What is the Value of Square 1 to 20?
The value of square 1 to 20 is the list of numbers obtained by multiplying an integer (1  20) by itself. It will always be a positive number. Between 1 to 20, the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 are even numbers and 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 are odd numbers.
What are the Methods to Calculate Squares from 1 to 20?
We can calculate the square of a number by using the a² + b² + 2ab formula. For example (17)² can be calculated by splitting 17 into 10 and 7. Other methods that can be used to calculate squares from 1 to 20:
 Finding Square by Column Method
 Finding Squares by Diagonal Method
If You Take Squares from 1 to 20, How Many of Them Will be Even Numbers?
The even numbers between 1 to 20 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. 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 will be even.
Using Squares 1 to 20 Chart, Find the Value of 1 Plus 5 Square Plus 7 Square
The value of 5² is 25 and 7² is 49. So, 1 + 5² + 7² = 75. Hence, the value of 1 plus 5 square plus 7 square is 75.
How Many Numbers in Squares 1 to 20 are Odd?
The odd numbers between 1 to 20 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19. 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 will be odd.
What is the Sum of all Perfect Squares from 1 to 20?
The sum of all perfect squares from 1 to 20 is 30 i.e. 1 + 4 + 9 + 16 = 30.
What Values of Squares from 1 to 20 are Between 1 and 50?
The values of squares 1 to 20 between 1 and 50 are 1² (1), 2² (4), 3² (9), 4² (16), 5² (25), 6² (36), and 7² (49).
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