Magic Squares
What’s a lot older than TV and video games and just as interesting?
Magic squares! The first magic square was created in China around
the year 2,800
B
.
C
. From China, the magic square spread to India,
Japan, the Middle East, Africa, and finally to Europe and America.
A magic square is an array of numbers arranged this way:
1. The square has the same number of rows and columns.
2. No number is used more than once.
3. The sum of every row, column, and diagonal is the same number.
Below are two magic squares that have been started for you. Complete each one
by placing numbers between 1 and 9 in the squares so the sum of the rows and
columns is 15.
Arrange the numbers 3, 6,
Arrange the numbers 4, 5, 6,
9, 12, 15, 18, 21, 24,
7, 8, 9, 10, 11, and 12 in the
and 27 in the squares so
squares so that the sums of
that the sums of all the
all the rows, columns, and
rows, columns, and
diagonals is 24.
diagonals is 45.
Name _______________________________________________________________
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