Numbers Sq's


Up

 

Take 15 counters, place them in the squares (without using the corners) so that the two lines both have 10 counters in.

 
   

 

  
   

 

  
   

 

  

 

 

How many more counters would you need if you put counters in the corner squares as well, but still had each line totalling 10 (including the diagonals)?

 

Can you use 15 counters and have totals of 8?
If you have more counters, can you still have totals of 10?

Can you arrange the numbers 1-9 in the squares so that no consecutive numbers are next to each other?

Can you put a number in each square so that the difference between two squares next to each other is always the same?

(You may have to use some numbers twice)

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Can you arrange counters in the squares so that each line has a different total?

  

 

 

 

Key Stage 2: Magic Squares

Can you place the numbers 1-9 in a 3 by 3 square (or 1-16 in a 4 by 4 square) so that all the lines have the same total?

Is there only one way of solving this puzzle?

Is it easier if you do not use consecutive numbers?

If you swap two of the numbers around, can your friend find which two were changed?