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Brain teasers

Fill the Grid

A magic square tests that every direction stays balanced.

The question

Arrange numbers 1 through 9 in a 3x3 square so that every row, column, and diagonal sums to the same total. You can rotate the square to find symmetries.

Hints

Give 5 the center. Then balance the high and low numbers opposite each other.

Answer

One classic solution is:
8 1 6
3 5 7
4 9 2

Every row, column, and diagonal adds to 15. The symmetry lets you rotate or reflect the square and still keep the same sums.