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Question

Complete the magic square given below by filling in the missing numbers. (3 marks)


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Solution

In a magic square, the sum of numbers in a row, column, or diagonal will be the same, which is the magic sum.

Magic sum for the given sqaure = Sum of numbers on the diagonal = 16 + 13 + 10 = 39 (1 mark)

Missing number in Row 1 = 39 - (16 + 14) = 9
(0.5 mark)
Missing number in Row 2 = 39 - (11 + 13) = 15
(0.5 mark)

Missing number in Column 1 = 39 - (16 + 11) = 12
(0.5 mark)
Missg number in Column 2 = 39 - (13 + Missing number of Row 1) = 39 - (13 + 9) = 17 (0.5 mark)

Thus, the magic sqaure upon filling the missing numbers will look like as shown below.


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