Magic Squares Quiz

1. In the magic square, the sum of the three numbers in any row, column or diagonal is the same. Find the sum of the three numbers in any row. In other words, find the magic sum.

Find the value of x in the magic square:

The remaining six boxes in the square below are filled so that the sum of the numbers in each row, column, and diagonal is the same. What number goes in the upper left hand corner?

The whole numbers 11 through 19 are arranged in the squares shown so that the sum of the numbers in each row, column and diagonal is the same. What is the common sum? (1997 Mathcounts State Sprint)

The numbers 1, 2, 3… ,9 are arranged, one per circle, in the triangle shown so that the sum, S, of the numbers on each side of the triangle is the same. The sum of the numbers in the three corner circles is 12. What is the value of S? (1997 Mathcounts Chapter Sprint #27)

The numbers 1, 2, 3… 9 are arranged, one per circle, in the triangle shown so that the sum of the numbers in the four circles along each side of the triangle is 17. What is the sum of the numbers in the three circles at the vertices of the triangle? (Mathcounts)