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Square 1 to 50

Square 1 to 50 is the list of squares of all the numbers from 1 to 50. The value of squares from 1 to 50 ranges from 1 to 2500. Memorizing these values will help students to simplify the time-consuming equations quickly. The Square 1 to 50 in the exponential form is expressed as (x)².

Squares 1 to 50:

Exponent form: (x)²
Highest Value: 50² = 2500
Lowest Value: 1² = 1

1.	Square 1 to 50
2.	Square 1 to 50 PDF
3.	How to Calculate Square 1 to 50?
4.	FAQs

Squares 1 to 50 Chart

Squares from 1 to 50

Learning squares 1 to 50 can help students to recognize all perfect squares from 1 to 2500 and approximate a square root by interpolating between known squares. The values of squares 1 to 50 are listed in the table below.

List of All Squares from 1 to 50
1² = 1	2² = 4	3² = 9	4² = 16	5² = 25
6² = 36	7² = 49	8² = 64	9² = 81	10² = 100
11² = 121	12² = 144	13² = 169	14² = 196	15² = 225
16² = 256	17² = 289	18² = 324	19² = 361	20² = 400
21² = 441	22² = 484	23² = 529	24² = 576	25² = 625
26² = 676	27² = 729	28² = 784	29² = 841	30² = 900
31² = 961	32² = 1024	33² = 1089	34² = 1156	35² = 1225
36² = 1296	37² = 1369	38² = 1444	39² = 1521	40² = 1600
41² = 1681	42² = 1764	43² = 1849	44² = 1936	45² = 2025
46² = 2116	47² = 2209	48² = 2304	49² = 2401	50² = 2500

☛ Square 1 to 50 PDF

The students are advised to memorize these squares 1 to 50 values thoroughly for faster math calculations.

Square 1 to 50 - Even Numbers

The table below shows the values of squares 1 to 50 for even numbers.

2² = 4	4² = 16	6² = 36	8² = 64	10² = 100
12² = 144	14² = 196	16² = 256	18² = 324	20² = 400
22² = 484	24² = 576	26² = 676	28² = 784	30² = 900
32² = 1024	34² = 1156	36² = 1296	38² = 1444	40² = 1600
42² = 1764	44² = 1936	46² = 2116	48² = 2304	50² = 2500

Square 1 to 50 - Odd Numbers

The table below shows the values of squares from 1 to 50 for odd numbers.

1² = 1	3² = 9	5² = 25	7² = 49	9² = 81
11² = 121	13² = 169	15² = 225	17² = 289	19² = 361
21² = 441	23² = 529	25² = 625	27² = 729	29² = 841
31² = 961	33² = 1089	35² = 1225	37² = 1369	39² = 1521
41² = 1681	43² = 1849	45² = 2025	47² = 2209	49² = 2401

How to Calculate the Values of Squares 1 to 50?

In order to calculate the squares from 1 to 50, we can use any one of the following methods:

Method 1: Multiplication by itself.

Method 2: Using basic algebraic identities: To find the square of 34, we can express 34 as:

Option 1: (30 + 4)
Option 2: (40 - 6)

In the next step, we use the basic algebraic identity formula and get Option 1: [30² + 4² + (2 × 30 × 4)] or Option 2: [40² + 6² - (2 × 40 × 6)]. Solving the expressions further, we get Option 1: (900 + 16 + 240) = 1156 or Option 2: (1600 + 36 - 480) = 1156.

Solved Examples on Square 1 to 50

Example 1: If a circular tabletop has a radius of 20 inches. Find the area of the tabletop in sq. inches?

Solution:

Area of circular tabletop = πr² = π (20)²

Using values from square 1 to 50 chart;

i.e. A = 400π

Therefore, the area of the tabletop = 1256.64 inches².
Example 2: Find the area of a square window whose side length is 24 inches.

Solution:

Area of square window (A) = Side²

i.e. A = 24² = 576

Therefore, the area of a square window is 576 inches².
Example 3: Two square wooden planks have sides 11m and 12m respectively. Find the combined area of both the wooden planks?

Solution:

Area of wooden plank = (side)²

⇒ Area of 1st wooden plank = 11² = 121 m²

⇒ Area of 2nd wooden plank = 12²= 144 m²

Therefore, the combined area of wooden planks is 121 + 144 = 265 m²
Example 4: Find the sum of the first 50 odd numbers.

Solution:

The sum of first n odd numbers is given as n²

⇒ Sum of first 50 odd numbers (n) = 50²

Using values from square 1 to 50 chart, the sum of first 50 odd numbers = 50² = 2500

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FAQs on Square 1 to 50

What is the Value of Squares 1 to 50?

The value of square 1 to 50 is the list of numbers obtained by multiplying an integer(1 - 50) by itself. It will always be a positive number.

What are the Methods to Calculate Squares from 1 to 50?

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 50:

Finding Square by Column Method
Finding Squares by Diagonal Method

If you Take Squares from 1 to 50, how many of them will be Even Numbers?

The even numbers between 1 to 50 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. 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 will be even.

Using Squares 1 to 50 Chart, find the value of 2 plus 9 Square plus 3 Square.

The value of 9² is 81 and 3² is 9. So, 2 + 9² + 3² = 92. Hence, the 2 plus 9 Square plus 3 Square is 92.

How Many Numbers in Squares 1 to 50 are Odd?

The odd numbers between 1 to 50 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. 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 will be odd.

What is the Sum of all Perfect Squares from 1 to 50?

The sum of all perfect squares from 1 to 50 is 140 i.e. 1 + 4 + 9 + 16 + 25 + 36 + 49 = 140.

What Values of Squares from 1 to 50 are Between 1 and 10?

The values of squares 1 to 50 between 1 and 10 are 1² (1), 2² (4), and 3² (9).

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