FOR CHILDREN

PROBLEM # 1
In the Tour de France, what is the position of a rider, after he passes the second placed rider?

FOR GROWNUPS

PROBLEM # 2
A rectangular room measures 7.5 meters in length and 3 meters in width. The room has a height of 3 meters. A spider sits 25 centimeters down from the ceiling at the middle of one of the short walls. A sleeping fly sits 25 centimeters up from the floor at the middle of the opposite wall. What is the shortest distance the spider has to walk (i.e., move along the walls, floor, and ceiling only) to the fly to catch it?

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SOLUTIONS TO PROBLEMS ON 07/27/06

FOR CHILDREN

PROBLEM # 1
Each child in a family has at least 3 brothers and 4 sisters. What is the smallest number of children the family might have?

SOLUTION
Nine.

FOR GROWNUPS

PROBLEM # 2
For 0<x<360 degrees, solve:
2 Tan(x) / (1 + (Tan(x))^2) = sqrt(3) / 2

SOLUTION
30, 60, 210, 240 degrees. 

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