You are here
How to make a Magic Square?
Last updated at July 30, 2026 by Teachoo
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 6 Class 7 - Number Play - Ganita Prakash
- Numbers can Tell us Things, Supercells
- Parity
- Figure it out - Page 131
- Small Squares in Grids (Parity in Multiplication)
- Parity of Expressions
- Some Explorations in Grids
-
Magic Square
- Figure it out - Page 136
- Generalising 3 × 3 Magic Square
- First ever 4 × 4 Magic Square
- Magic Squares in History and Culture
- Virahāṅka Fibonacci Numbers
- Digits in Disguise
- Figure it out - Page 143, 144
Transcript
How to make a Magic Square? Let’s make a magic square from numbers 1-9 Our rules are Middle position is 5 Four corner positions must be filled by even numbers (2, 4, 6, 8) Four middle positions must be filled by odd numbers (1, 3, 7, 9) Now, At the center is number 5 Let 9 be above 5 Since middle column sum has to be 15 So, 9 + 5 + 1 = 15. Thus, 1 is below 5 Now, let’s put odd numbers 3 & 7 on remaining middle positions Let top left number be 2 Sum of top row = 15 So, 2 + 9 + 4 = 15 . Thus, 4 is top right corner Sum of left column = 15. So, 2 + 7 + 6 = 15 . Thus, 6 is bottom left corner Remaning number is 8 Thus, our magic square looks like
