On the blackboard is a 3 × 3 magic square. The sum of the three numbers in each row,
each column and each diagonal is the same. As shown in the diagram below, all but three of the
numbers are erased. What is the number represented by x in the cell at the upper left corner?
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Answer:
magic square
Magicians often include acts that are not strictly magic, but leave their audiences feeling that they have witnessed something impossible. Memory stunts, unusual scientific demonstrations, playing chess blindfolded and rapid mental mathematics are some examples.
Successful stunts of this kind suggest the performer has an enhanced talent. In some cases, this is true – they may have an extraordinary memory or be a chess grandmaster. But in most cases the performer is using a system. These systems can be simple, or can require tremendous skill – but they are still easier than doing the stunt without any system at all.
A popular mathematical stunt is to create a “magic square”. This is a grid, most commonly 3×3 or 4×4, filled with numbers. The numbers in every row add up to the same number. Here is an example: