FOR CHILDREN

PROBLEM # 1
Express 0.838383... as a fraction of two integers.

FOR GROWNUPS

PROBLEM # 2
In a standard 8x8 chessboard (with squares colored alternately black and white), there are 64 1x1 squares, 49 2x2 squares etc. How many squares have more than half of their areas colored white?

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SOLUTIONS TO PROBLEMS ON 02/22/07

FOR CHILDREN

PROBLEM # 1
For how many positive integer values of x is sqrt(120 - x) an integer? 

SOLUTION
Ten. (20, 39, 56, 71, 84, 95, 104, 111, 116, and 119).

FOR GROWNUPS

PROBLEM # 2
What is the smallest number such that the product of the digits is 10!
(Ten Factorial)

SOLUTION 
45578899.

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