Square 1 to 30: How to Find the Value of Squares from 1 to 30

To begin, let’s understand what a square of a number means. When you multiply a number by itself, the result is called its square. For example, the square of 4 is 16 because 4 × 4 = 16. Similarly, the square of -3 is 9 since -3 × -3 = 9. No matter what number you square, the result is always positive.

Now, when we talk about "Square 1 to 30", we mean finding the squares of all numbers from 1 to 30. That means we calculate 1 × 1, 2 × 2, 3 × 3, and so on up to 30 × 30.

In short:

• A square number is written in exponent form as (x)².
• The smallest square in this list is (1)² = 1.
• The largest square in this list is (30)² = 900.

The chart given below shows the squares of numbers from 1 to 30.

Square 1 to 30 Table

The table given below shows the square values of numbers from 1 to 30:

Numbers	Square 1 to 30
1	1
2	4
3	9
4	16
5	25
6	36
7	49
8	64
9	81
10	100
11	121
12	144
13	169
14	196
15	225
16	256
17	289
18	324
19	361
20	400
21	441
22	484
23	529
24	576
25	625
26	676
27	729
28	784
29	841
30	900

Note: It is good for faster math calculations if we memorize these squares 1 to30.

Square 1 to 30 of Even Numbers

The table given below shows the square values of numbers from 1 to 30 for even numbers:

Numbers	Square 1 to 30 – Even Numbers
2	4
4	16
6	36
8	64
10	100
12	144
14	196
16	256
18	324
20	400
22	484
24	576
26	676
28	784
30	900

Square 1 to 30 of Odd Numbers

The table given below shows the square values of numbers from 

1 to 30 for odd numbers:

Numbers	Square 1 to 30 – Odd Numbers
1	1
3	9
5	25
7	49
9	81
11	121
13	169
15	225
17	289
19	361
21	441
23	529
25	625
27	729
29	841

How to Calculate Values of Squares 1 to 30?

The square 1 to 30 can be found by the following methods which are given below:

• Multiplication by itself
• Using algebraic identities

Method 1: Multiplication by itself

In this method, the number is multiplied by itself, then the product gives us the square of that number. Let us understand this with the help of an example.

For example, the square of 16 = 16 × 16 = 256. Here, the resultant product “256” gives us the square of the number “16”.

This method is good for finding the square of smaller numbers.

Method 2: Using algebraic identities

In this method, we use basic algebraic identities to find the square of a number from 1 to 30. Let us understand this with the help of an example.

For example, find the square of 29.

We can express 29² as:

• 29² = (20 + 9)² = (20)² + 2 × (20) × (9) + (9)² = 400 + 360 + 81 = 841.
• 29² = (30 − 1)² = (30)² − 2 × (30) × (1) + (1)² = 900 − 60 + 1 = 841.

This method is good for finding the square of larger numbers.

Square 1 to 30 Solved Examples

Example 1:Two square wooden boards have sides of 8 meters and 6 meters. What is the total area of both boards?

Solution:
To find the area of a square, we multiply the side by itself (side × side).

• Area of the first board = 8 × 8 = 64 m²
• Area of the second board = 6 × 6 = 36 m²

So, the total area of both boards = 64 + 36 = 100 m².

The combined area of both wooden boards is 100 square meters.

Example 2: Find the sum of the first 30 odd numbers.

Solution: The sum of first n odd numbers is given as n².

⇒ Sum of first 30 odd numbers (n) = 30²

Using values from square 1 to 30 chart, the sum of the first 30 odd numbers = 30² = 900.

Example 3:Two square tiles have side lengths of 5 meters and 9 meters. What is the total area of both tiles?

Solution:
To find the area of a square, use the formula: Area = side × side

• Area of the first tile = 5 × 5 = 25 m²
• Area of the second tile = 9 × 9 = 81 m²

Now, add both areas: 25 + 81 = 106 m²

The total area of both tiles is 106 square meters.

We hope that the above article is helpful for your understanding and exam preparations. Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. Also, reach out to the test series available to examine your knowledge regarding several exams.

If you are checking Square 1 to 30 article, also check related maths articles:
Square Root of Complex Number	Square Root of 98
Square root of 343	Square root of decimals
Square Root of 1	Square root of 10
Square root of 169	Square Root Tricks
Square root of 1369	Square Root of 14

Important Links
NEET Exam
NEET Previous Year Question Papers	NEET Mock Test	NEET Syllabus
CUET Exam
CUET Previous Year Question Papers	CUET Mock Test	CUET Syllabus
JEE Main Exam
JEE Main Previous Year Question Papers	JEE Main Mock Test	JEE Main Syllabus
JEE Advanced Exam
JEE Advanced Previous Year Question Papers	JEE Advanced Mock Test	JEE Advanced Syllabus