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Square 1 to 40

Square 1 to 40 is the list of squares of all numbers from 1 to 40. The values of squares from 1 to 40 range from 1 to 1600. Memorizing these values can help students in simplifying the time-consuming math equations quickly. The square of a number x in the exponential form is expressed as (x)².

Square 1 to 40:

Exponent form: (x)²
Highest Value: 40² = 1600
Lowest Value: 1² = 1

1.	Square 1 to 40
2.	Square 1 to 40 PDF
3.	How to Calculate Square 1 to 40?
4.	FAQs

Squares 1 to 40 Chart

Squares from 1 to 40 is a table that consists of equations 1 squared equals 1, 2 squared equals 4, 3 squared equals 9, 4 squared equals 16, and so on.

What are Squares From 1 to 40?

Learning the values of squares 1 to 40 can help students to recognize all the perfect squares from 1 to 1600 and approximate a square root by interpolating between known squares. The values of squares 1 to 40 are listed in the table below.

List of All Squares from 1 to 40
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

☛ Square 1 to 40 PDF

Check the above square 1 to 40 PDF. The students are advised to download the PDF and keep it handy and also to memorize these squares 1 to 40 values thoroughly for faster math calculations.

1 to 40 Squares - Even Numbers

The even numbers from 1 to 40 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, and 40. The table below shows the values of squares 1 to 40 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

1 to 40 Squares - Odd Numbers

The odd numbers from 1 to 40 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, and 39. The table below shows the values of squares from 1 to 40 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

How to Calculate the Values of Squares 1 to 40?

To calculate the squares of 1 to 40, 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 3 = 3 × 3 = 9. Here, the resultant product “9” gives us the square of the number “3”. This method works well for smaller numbers.

Method 2: Using basic algebraic identities: To find the square of 23, we can express 23 as:

Option 1: (20 + 3)
Option 2: (30 - 7)

In the next step, we use the basic algebraic identity formula and get Option 1: [20² + 3² + (2 × 20 × 3)] or Option 2: [30² + 7² - (2 × 30 × 7)]. Solving the expressions further, we get Option 1: (400 + 9 + 120) = 529 or Option 2: (900 + 49 - 420) = 529.

Solved Examples on Square 1 to 40

Example 1: If a circular tabletop has a radius of 40 inches. Find the area of the tabletop in sq. inches? [π = 3.14]

Solution:

Area of circular tabletop = πr² = π (40)²

Using values from square table 1 to 40;

i.e. A = 1600π

Answer: ∴ The area of the tabletop = 5024 inches².
Example 2: Find the area of a square window whose side length is 32 inches.

Solution:

Area of square window (A) = Side²

i.e. A = 32² = 1024

Answer: The area of a square window is 1024 inches².
Example 3: Two square wooden planks have sides 20m and 25m respectively. Find the combined area of both wooden planks?

Solution:

Area of wooden plank = (side)²

⇒ Area of 1^st wooden plank = 20² = 400 m²

⇒ Area of 2^nd wooden plank = 25²= 625 m²

Answer: ∴ Combined area of wooden planks is 400 + 625 = 1025 m²
Example 4: Find the sum of the first 40 odd numbers.

Solution:

The sum of first n odd numbers is given as n²

⇒ Sum of first 40 odd numbers (n) = 40²

Using values from squares of 1 to 40 chart, the sum of first 40 numbers = 40² = 1600

Answer: The sum of the first 40 odd numbers is 1600.

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FAQs on Square 1 to 40

What is the Value of Squares 1 to 40?

The square 1 to 40 is the list of numbers obtained by multiplying an integer two times (y × y). It will always be a positive number. Here are the values of squares from 1 to 40.

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

What are the Methods to Calculate Squares from 1 to 40?

We can calculate the square of a number by using the (a + b)² formula. For example (16)² can be calculated by splitting 16 into 10 and 6. Other methods that can be used to Calculate squares from 1 to 40:

Finding Square by Column Method
Finding Squares by Diagonal Method

Using the Squares 1 to 40 Chart, Find the Value of 3 plus 10 Square plus 12 Square.

The value of 10² is 100 and 12² is 144. So, 3 + 10² + 12² = 253. Hence, the 3 plus 10 Square plus 12 Square is 253.

If you Take Squares from 1 to 40, How Many of Them Will be Even Numbers?

The even numbers between 1 to 40 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40. Since the squares of even numbers are always even. Therefore, the values of the squares of these numbers will be even.

How Many Numbers in Square Table 1 to 40 are Odd?

The odd numbers between 1 to 40 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39. Since the squares of odd numbers are always odd, the squares of these numbers will be odd.

What Values of Squares 1 to 40 are Between 1 and 15?

The values of squares 1 to 40 between 1 and 15 are 1² (1), 2² (4), and 3² (9).

What is the Sum of all Perfect Squares from 1 to 40?

The sum of all perfect squares from 1 to 40 is 91 i.e. 1 + 4 + 9 + 16 + 25 + 36 = 91.

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