FOR CHILDREN

PROBLEM # 1
On a certain math exam, 10% of the students got 70 points, 25% got 80 points, 20% got 85 points, 15% got 90 points, and the rest got 95 points. What is the difference between the mean and the median score on this exam.

FOR GROWNUPS

PROBLEM # 2
The quadratic equation x^2+mx+n=0 has roots that are twice those of x^2+px+m=0, and none of m,n and p is zero. What is the value of n/p.

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SOLUTIONS TO PROBLEMS ON 02/24/05

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?

SOLUTION
 87.

FOR GROWNUPS

PROBLEM # 2
A video tape can record two hours on short play (SP), four hour on long play (LP) and eix 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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