FOR CHILDREN

PROBLEM # 1
A number is called a pretty number if it has exactly 3 different whole number factors. For example, the factors of 4 are 1, 2, and 4 since 1 x 4 =4 and 2 x 2 = 4. The factor 2 is not counted twice. What is the sum of all the pretty numbers between 0 and 50?

FOR GROWNUPS

PROBLEM # 2
A video tape can record two hours on short play (SP), four hour on long play (LP) and six hours on extra long play (ELP). After recording 32 minutes on SP and 44 minutes on LP, how many minutes can it record on ELP?

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SOLUTIONS TO PROBLEMS ON 02/10/05

FOR CHILDREN

PROBLEM # 1
If you add the consecutive counting numbers starting with one, what number will make the sum be equal to or more than 1,000?

SOLUTION
45.

FOR GROWNUPS

PROBLEM # 2
If cos(10x) + cos(5x) = 0, 0< x < 2.2 pi, find the exact average of all solution for x.

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