Grade 4 - Progress in Mathematics

Magic Squares

In a magic square each row,

column, and diagonal has the

same sum, called the magic sum.

Row Sums Column Sums

7 
 12 
 5  24 7 
 6 
 11  24

6 
 8 
 10  24 12 
 8 
 4  24

11 
 4 
 9  24 5 
 10 
 9  24

Diagonal Sums

7 
 8 
 9  24 5 
 8 
 11  24

Copy and complete each magic square.

0 1. 0 2. 0 3.

0 4. 0 5. 0 6.

0 7. 0 8. 0 9.

7 12 5

6 8 10

11

24 24 24

24

24

24

24

4 9

6 7?

? 5 9

? 3?

9? 7

4 6?

5??

? 3?

7 10?

? 17 5

2.7 3.8?

5.2 3.6?

? 3.4 4.5

3.5 7.5 8.5

11.5??

4.5 5.5?

8.6 7 6.6

5.4??

8.2 7.8?

? 63 68

? 67?

? 71 64

2.42 8 5.96

9 5.46?

4.96??

?? 24

? 15?

6? 12

Hint

Use multiples of 3.

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