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Fill in the Numbers in a Magic Square

In this worksheet, students will use a simple rule to work out the missing numbers in a magic square.

'Fill in the Numbers in a Magic Square' worksheet

Key stage:  KS 2

Year:  Year 3 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Square Numbers

Difficulty level:  

Worksheet Overview

In this activity, we will learn how to fill in missing numbers in magic squares.

 

Example

Fill in the missing numbers in this magic square.

 

  3
 
  7  

 

Answer 

Each row, column and diagonal must add to the same amount (the magic total).

 

The clue here is that we have 3, 5 and 7 in a column, which means that the magic total is 3 + 5 + 7 = 15

 

Use this fact to complete the square using addition and subtraction.

 

8 3
9 
6 7 2 

 

 

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