FOR CHILDREN

PROBLEM # 1
If the side of a hexagon is 1 inch, what is its area?

FOR GROWNUPS

PROBLEM # 2
Which of the following describes the graph of the equation
(x + y)^2 = x^2 + y^2?
a) the empty set b) one point c) two lines d) a circle e) the entire plane.

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SOLUTIONS TO PROBLEMS ON 03/22/07

FOR CHILDREN

PROBLEM # 1
Ramesh and Satish folded fancy napkins for a feast. In two-third of an hour, Ramesh folded 32 napkins. In 25 minutes Satish folded 20 napkins. Who was folding faster?

SOLUTION
Same speed . 

FOR GROWNUPS

PROBLEM # 2
How many non-empty subsets S of {1,2,3,...15} have the property that no two consecutive integers belong to S.

SOLUTION 
1596.

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