FEBRUARY's PROBLEM

The average (arithmetic mean) of P and Q is 18, while the average of R, S, and T is 43. What is the average of P, Q, R, S, and T?

[A solution to this problem will appear along with next month’s problem.]

Visit our MOEMS Classic page http://www.moems.org/zinger.htm for a detailed solution

JANUARY's PROBLEM

Bay Street has between 1 and 15 houses, numbered 1, 2, 3, and so on. Mr. Sullivan lives in one of the houses. The sum of all the house numbers less than his equals the sum of all the house numbers greater than his. How many houses are there on Bay Street?

[ 8 ]

DECEMBER's PROBLEM

David has 4 cages of hamsters. The second cage has ½ as many hamsters as the first. The third cage has ½ as many hamsters as the second. The fourth cage has ½ as many hamsters as the third. What is the smallest number of hamsters David can have?

[ 15 ]

 

For many additional problems we highly recommend the following books:

Math Olympiad Contest Problems for Elementary and Middle Schools by Dr. G. Lenchner
and
Math Olympiad Contest Problems Volume 2 edited by Richard Kalman

are sources of many such problems.

Creative Problem Solving in School Mathematics 2nd Edition by Dr. George Lenchner

can help you to teach solving these types of problems