A 3 3 magic square contains each of the numbers 1 9 arranged in such

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A 3 × 3 magic square contains each of the numbers 1 – 9 arranged in such a way that each row, column and diagonal add up to the same total. 

a. Copy the 3 × 3 grid opposite and enter the numbers 1 – 9 so that it becomes a magic square. 

b. (i) Complete a magic square using the numbers from 51 to 59. 

(ii) How does the total of each row, column and diagonal compare with the original magic square in part (a)? Explain why this happens.

c.  (i) Complete a magic square using the numbers from –4 to +4. 

(ii) How does the total of each row, column and diagonal compare with the original magic square in part (a)? Explain why this happens.

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