Magic Squares with Positive and Negative Numbers
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• Introduction
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Fill in the missing numbers.

 −4 −7 A B −5 C −6 D −6

Hint

Look at the diagonal from top left to bottom right.  The total of these numbers is -15, which will also be the total of all other rows, columns and diagonal.

A = −4
B = −5
C = −5
D = −3

• Question 1
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Find the missing numbers.

 3 2 A 0 B 4 3 C D
 A B C D 1 2 3 4
• Question 2
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Find the missing numbers.

 −4 −7 A B −5 C −6 D −6
 A B C D -5 -3 -4 -1
• Question 3
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Find the missing numbers.

 5 A B 0 3 6 4 C D
 A B C D 1 2 3 4
• Question 4
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Find the missing numbers.

 A 2 1 0 B 4 C 2 D
 A B C D 1 2 3 4
• Question 5
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Magic squares have rows, columns and diagonals of numbers adding to the same total.

Find the missing numbers.

 −3 A −2 B −2 C D E F
 A B C D E F -1 -2 -3 -4
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