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August's Problem
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The members of a school club attend a movie. They pay a total of $100 for 15 movie tickets. Two members are adults and pay $11 each. The other members are all students. What is the price of a student ticket?

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A solution to this problem will appear along with next month’s problem.
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July's Problem
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Three views of the same cube are shown.
Which letter is on the face opposite A?

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METHOD 1: Eliminate possibilities:
The letter A is adjacent to B, C, E, and F. The remaining letter, D, must be opposite A.


METHOD 1: Create a net diagram: Start with A. From the first view, C is directly below and oriented the same as A, while B is to A's right and rotated counterclockwise 90 degrees. From the third view, F is directly above A and oriented the same as A, while E is to A's left and rotated clockwise 90 degrees. From the second view, D is directly above F and oriented the same as F, while E is to D's left and rotated counterclockwise 90 degrees. D is the only face two away from A. D is opposite A.

 

Follow-up: How many faces of an opaque cube can be seen at one time? (1, 2, or 3)

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June's Problem
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What year in the 21st century (the years 2001 to 2100) is the product of two consecutive integers?

 
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METHOD: Solve a simpler problem: The year is roughly midway between 1600 = 40² and 2500 = 50². Testing, 45² = 2025, which is in the 21st century. Then 45 × 46 = 2070 . As a check, neither 1980 = 44 × 45 nor 2162 = 46 × 47 is in the 21st century
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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