  # Magic Squares with Positive and Negative Numbers

In this worksheet, students solve problems with positive and negative numbers using 'Magic Squares'. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Difficulty level:   #### Worksheet Overview

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

= −3

-6 + -6 = -12

-15 - -12 = -3

= −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!

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