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I'm running a weekly math contest for a summer camp and would like to compile a list of interesting problems. The problems may presuppose mathematical knowledge up to but not including Calculus.

For my purposes, a good problem is one that emphasizes cleverness over knowledge. For example, "Find the area of this triangle given some information" is a bad problem, since it's solution is likely just a matter of knowing lots of different facts about triangles.

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    I think it would be a better question to ask for sources of good problems rather than asking for good problems, of which there are many even if you were to narrow it down by subject. For that case, this has some good collection for juniors. [link](http://www.amazon.com/Lecture-Notes-Mathematical-Olympiad-Courses/dp/9814293547)2011-06-15

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