Page 98 - Mathematics Class - IX

PROJECT 6

AIM
Magic Squares.

DEFINITION
A magic square is a square array of numbers consisting of the distinct positive integers 1, 2, ..., n arranged such
2
that the sum of the n numbers in any horizontal, vertical, or main diagonal line is always the same number.

15 15 15
15

8 1 6 15

3 5 7 15

4 9 2 15

15

MAKING MAGIC SQUARE
1. Draw a pyramid on each side of the magic square as shown in figure.

3

2 6

1 5 9

4 8
7

2. The pyramid should have two less squares on its base than the number of squares on the side of the
magic square.
3. Sequentially place the numbers 1 to n of n × n magic square in the diagonals as shown in the given figure.
2
4. Relocate any number not in n × n square (that appears in the pyramid you added) to the opposite hole
inside the square.

5. We will get the following result.
2 7 6

9 5 1

4 3 8

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