FOR CHILDREN

PROBLEM # 1
Consider the numbers from 1-500 inclusive.  What is the difference between the sum of all the even numbers and the sum of all of the odd numbers?

FOR GROWNUPS

PROBLEM # 2
A and B are whole numbers and neither of which are divisible by 10. If the product of A and B equals 20000, find the absolute value of the difference of A and B.

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SOLUTIONS TO PROBLEMS ON 08/24/06

FOR CHILDREN

PROBLEM # 1
There is a pole in a lake. One-half of the pole is in the ground, another one-third of it is covered by water, and 12 ft is out of the water. What is the total length of the pole in ft?

SOLUTION
72 feet.

FOR GROWNUPS

PROBLEM # 2
Consider a road with two cars, at a distance of 100 kilometers, driving towards each other. The left car drives at a speed of 40 kilometers per hour and the right car at a speed of 60 kilometers per hour. A bird starts at the same location as the right car and flies at a speed of 80 kilometers per hour. When it reaches the left car it turns its direction, and when it reaches the right car it turns its direction again to the opposite, etcetera. What is the total distance that the bird has traveled at the moment that the two cars have reached each other?

SOLUTION
80 kilometers.

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