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| For The Mathematically Inclined |
Anil Saigal
03/20/2006
FOR CHILDREN ------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 03/09/06 SOLUTION FOR GROWNUPS SOLUTION
PROBLEM # 1
A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?
FOR GROWNUPS
PROBLEM # 2
A
circle of radius 'r' is concentric with and outside a regular hexagon
of side length 2. The probability that three entire sides of the
hexagon are visible from a randomly chosen point on the circle is 0.5.
What is 'r'?
Please send your solutions to anil@lokvani.com.
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If you need clarification on any problem, please contact anil@lokvani.com.
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FOR CHILDREN
PROBLEM # 1
The Math Team in Addville traveled to Subtractville for a math competition. The bus averaged 40 mph from Addville to Subtractville but averaged 60 mph during the return trip. What was the average speed of the bus for the entire trip?
48 mph.
PROBLEM # 2
Find the integral of the function sqrt(1 + 1/(x^2/3)) from 0 to 8.
Sqrt(125) - 1.
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