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Partial Magic

Age 11 to 14 Short
Challenge Level

In a magic square, each row, each column and both main diagonals have the same total. In the partially completed magic square shown, what number should replace x?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.