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Square 1 to 25

Square 1 to 25 is the list of squares of all numbers from 1 to 25. The value of squares from 1 to 25 ranges from 1 to 625. Memorizing these values will help students to simplify the time-consuming equations quickly. Square 1 to 25 in the exponential form is expressed as (x)².

Square 1 to 25:

Exponent form: (x)²
Highest Value: 25² = 625
Lowest Value: 1² = 1

1.	Square 1 to 25
2.	Square 1 to 25 PDF
3.	How to Calculate Square 1 to 25?
4.	FAQs

Squares 1 to 25 Chart

Squares from 1 to 25

Learning squares 1 to 25 can help students to recognize all perfect squares from 1 to 625 and approximate a square root by interpolating between known squares. The values of squares 1 to 25 are listed in the table below.

List of All Squares from 1 to 25
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

☛ Square 1 to 25 PDF

The students are advised to memorize these squares 1 to 25 values thoroughly for faster math calculations.

Square 1 to 25 - Even Numbers

The table below shows the values of squares 1 to 25 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

Square 1 to 25 - Odd Numbers

The table below shows the values of squares from 1 to 25 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

How to Calculate the Values of Squares 1 to 25?

In order to calculate the squares from 1 to 25, 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 25 = 25 × 25 = 625. Here, the resultant product “625” gives us the square of the number “25.” This method works well for smaller numbers.

Method 2: Using basic algebraic identities: To find the square of 16, we can express 16 as:

Option 1: (10 + 6)
Option 2: (20 - 4)

In the next step, we use the basic algebraic identity formula and get Option 1: [10² + 6² + (2 × 10 × 6)] or Option 2: [20² + 4² - (2 × 20 × 4)]. Solving the expressions further, we get Option 1: (100 + 36 + 120) = 256 or Option 2: (400 + 16 - 160) = 256.

Solved Examples on Square 1 to 25

Example 1: If a circular tabletop has a radius of 13 inches. Find the area of the tabletop in sq. inches?

Solution:

Area of circular tabletop = πr² = π (13)²

Using values from square 1 to 25 chart;

i.e. A = 169π

Therefore, the area of the tabletop = 530.66 inches².
Example 2: Find the area of a square window whose side length is 17 inches.

Solution:

Area of square window (A) = Side²

i.e. A = 17² = 289

Therefore, the area of a square window is 289 inches².
Example 3: Two square wooden planks have sides 7m and 15m respectively. Find the combined area of both the wooden planks?

Solution:

Area of wooden plank = (side)²

⇒ Area of 1st wooden plank = 7² = 49 m²

⇒ Area of 2nd wooden plank = 15²= 225 m²

Therefore, the combined area of wooden planks is 49 + 225 = 274 m²
Example 4: Find the sum of the first 25 odd numbers.

Solution:

The sum of first n odd numbers is given as n²

⇒ Sum of first 25 odd numbers (n) = 25²

Using values from square 1 to 25 chart, the sum of first 25 numbers = 25² = 625

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FAQs on Square 1 to 25

What is the Value of Squares 1 to 25?

The value of square 1 to 25 is the list of numbers obtained by multiplying an integer (1 - 25) by itself. It will always be a positive number. Between 1 to 25, the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 are even numbers and 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 are odd numbers.

What are the Methods to Calculate Squares from 1 to 25?

We can calculate the square of a number by using the a² + b² + 2ab formula. For example (13)² can be calculated by splitting 13 into 10 and 3. Other methods that can be used to calculate squares from 1 to 25:

Finding Square by Column Method
Finding Squares by Diagonal Method

If You Take Squares from 1 to 25, How Many of Them Will be Even Numbers?

The even numbers between 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24. 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 will be even.

Using Squares 1 to 25 Chart, Find the Value of 9 Plus 10 Square Plus 6 Square.

The value of 10² is 100 and 6² is 36. So, 9 + 10² + 6² = 145. Hence, the value of 9 plus 10 Square plus 6 Square is 145.

How Many Numbers in Squares 1 to 25 are Odd?

The odd numbers between 1 to 25 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25. 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 will be odd.

What is the Sum of all Perfect Squares from 1 to 25?

The sum of all perfect squares from 1 to 25 is 55 i.e. 1 + 4 + 9 + 16 + 25 = 55.

What Values of Squares from 1 to 25 are Between 1 and 30?

The values of squares 1 to 25 between 1 and 30 are 1² (1), 2² (4), 3² (9), 4² (16), and 5² (25).

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