magic squares

The formula to get the constant sum or the sum of columns, rows, and diagonals re illustrated by (N^3+N)/2. Where N is the number of row, column, and diagonal. From the example 3x3 the N is 3.

However, to get the central number, use the formula (N^2 +1)/2. In 3x3, (3^2+1)/2 is 10/2 or 5. that is why in 3x3 magic square, 5 is the central number

Ahhh. Now I know the technique to find the sum and the central number of magic squares.

Cool right? It is really fun and beautiful to learn mathematics and there are many things to discover from here. Now that you know, I will give you a challenge.

A challenge? What kind of challenge?

It's just like a simple quiz to test your knowledge about magic squares. Are you ready?

Yes, I am ready!

In a 5x5 magic square, what is the constant sum of rows, columns and diagonals?

Hmmm. (5^3+5)/2 is 130/2. That is 65!

The sum of the rows, columns and diagonals is 65!

Very good! You are really interested in this topic huh?

What about its central number?

Hmmmmm. (5^2+1)/2 is 26/2. Therefore, it is 13!

The central number is 13!

Incredible!

Now for your final challenge, can you complete the 5x5 magic square?



Very well! Did you enjoy the challenge?

Yes. I will never forget this experience. Thank you for showing me the some magic in mathematics. I have learned a lot!

Then, we will see each other again! Happy learning! Goodbye!

Bye!