Take a magic square, and increase each number by 1 double each number. Class 7
mediumTake a magic square, and increase each number by 1 double each number. Class 7
Question 1.
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? Class 7
Solution:
Do as directed.
Yes, in each case, the resulting grid is also a magic square.
In case (a), the magic sum is increased by 1 × 3 = 3 in the case of 3 × 3 magic square.
In case (b), the magic sum becomes double of the magic sum of original magic square. This is becomes 30.
Question 2.
What other operations can be performed on a magic square to yield another magic square? Class 7
Solution:
Other operations can be multiplication by a same number, division by a same number, subtracting a same number from each number of the grid.
Question 3.
Discuss ways of creating a magic square using any set of 9 consecutive numbers (like 2 - 10, 3 - 11, 9 - 17, etc.). Class 7
Solution:
Do as directed.