Magic Squares

 

 

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

Can you fill in the missing numbers in the following magic square?

 

−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.

 

Let's work through these together:

A = −4

-7 + -4 = -11

-11 + -4 = -15

 

D = −3

-6 + -6 = -12

-15 - -12 = -3

C = −5

We have already worked out that A = -4.

-6 + -4 = -10

-15 - -10 = -5
 

B = −5

We have already worked out that C = -5.

-5 + -5 = -10

-15 - -15 = -5

 

Now, it's over to you!