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March's Problem
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The average (mean) of three numbers is 5/6. Two of the three numbers are 1/2 and 2/3. What is the third number in lowest terms?

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A solution to this problem will appear along with next month’s problem.
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February's Problem
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A large cube 2 meters along each edge is cut into small cubes that are 2 centimeters along each edge. How many small cubes are there?

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METHOD: Determine the number of cubes on an edge
2 m = 100 × 2 cm. So there are 100 small cubes along each edge. Since a cube is three dimensional, the large cube is cut into 100 × 100 × 100 = 1,000,000 small cubes.
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January's Problem
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What is the missing number?


6+6+6+6+6+6+6+6 = ?x3

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METHOD 1: Find the sum:
The sum of the eight 6's is 48. 48 ÷ 3 = 16. The missing number is 16.

METHOD 1: Relate 3's to 6's:
Since 3 is half of 6, adding eight 6's is equal to adding sixteen 3's. The missing number is 16.

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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
and
MOEMS® Contest Problems Volume 3
edited by Richard Kalman & Nicholas J. Restivo.
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