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Question 3 - Figure it out - Page 136 - Chapter 6 Class 7 - Number Play - Ganita Prakash
Last updated at October 17, 2025 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
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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
Question 3 Take a magic square, and (a) increase each number by 1 (b) double each number In each case, is the resulting grid also a magic square? How do the magic sums change in each case? Yes, the resulting grid is also a magic square in both cases. The magic property is preserved when you perform the same linear operation on every number. (a) Increase each number by 1: The resulting grid is a magic square. If the original magic sum was S (e.g., 15), each line now has three numbers that are each bigger by 1 The new magic sum will be S + 3 × 1 Example: 15 + 3 × 1 = 15 + 3 = 18 (b) Double each number: The resulting grid is a magic square. If the original magic sum was S, each number in a line is now twice as large. The new magic sum will be S × 2 Example: 15 × 2 = 30)
