Question 5 - Page 137 - Generalising 3 × 3 Magic Square - Chapter 6 Class 7 - Number Play - Ganita Prakash

Last updated at October 17, 2025 by

Is it possible to get a magic square by filling nine non-consecutive - Generalising 3 × 3 Magic Square

part 2 - Question 5 - Page 137 - Generalising 3 × 3 Magic Square - Chapter 6 Class 7 - Number Play - Ganita Prakash - Class 7 (Ganita Prakash 1, 2 & old NCERT)

Remove Ads Share on WhatsApp

Transcript

Question 5 - Page 137 Is it possible to get a magic square by filling nine non-consecutive numbers? Yes, it's definitely possible. The rules of a magic square only require the sums of the lines to be equal; they don't require the numbers to be consecutive. A very simple way to create one is to take any existing magic square and multiply every number by a constant. For example: Taking standard 1-9 magic square and multiply every number by 2, you get a new magic square with the numbers {2, 4, 6, 8, 10, 12, 14, 16, 18}. These numbers are not consecutive, but they form a perfect magic square with a magic sum of 30. 1-9 Square Magic square with non-consecutive numbers

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo