FOR CHILDREN

PROBLEM # 1
Each term of a sequence, after the first, is inversely proportional to the term preceding it. If the first two terms are 2 and 6, what is the twelfth term?

FOR GROWNUPS

PROBLEM # 2
If the probability that the Patriots will win the AFC championship next year is p and if the probability that the Redskins will win the NFC championship is q, what is the probability that only one of these teams will win its respective championship?

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SOLUTIONS TO PROBLEMS ON 03/10/05

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.

SOLUTION
1.

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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