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Question 2 - Page 38 - A Magic Grid of Integers - Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II)
Last updated at January 21, 2026 by Teachoo
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II)
- Quick Recap on Intergers
- Carrom Coin Integers
- Token Model for Adding and Subtracting Integers
- Multiplication of Integers
- Patterns in Integer Multiplication
- Brahmagupta’s Rules for Multiplication and Division of Integers
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A Magic Grid of Integers
- Division of Integers
- Figure it out - Page 39
- Integer Expressions - Properties and Pattern
- Figure it out - Page 42, 43, 44
Transcript
Question 2 - Page 38 What could be so special about these grids? Is the magic in the numbers or the way they are arranged or both? Can you make more such grids?The special property of these grids is in the way the numbers are arranged. It's a mathematical trick. These grids are constructed based on a hidden set of "row numbers" and "column numbers.” Each number in the grid is the sum of its hidden row number and hidden column number. Because you always pick one number from each row and each column, the final sum is always the total of all the hidden row numbers plus all the hidden column numbers, which is always the same. Yes, you can make more such grids! Here’s a simple way:
