This is a collection of problems I've gathered from various sources. I've tried to choose problems that are conceptually simple to understand. Thus the statement of most of the problems should be understandable to anyone with basic high school math. The difficulty of the solutions varies quite a bit, however, ranging from simple "Ah-ha"s to problems requiring either non-trivial effort or non-trivial mathematics. I've made no effort to indicate difficulty, both because difficulty is so relative, and because I think all the problems are fun and interesting, and therefore deserve thinking about even if the thinking doesn't necessarily lead to a solution.
The problems have been numbered (in a largely arbitrary fashion), and grouped 10 to a page to make finding a specific problem a little easier. This isn't the greatest organization scheme, but it works; feel free to suggest alternatives.
[Problems 0-9] [Problems 10-19]
I've not credited sources for specific problems because the sources often provide the solution as well, and I will use these for homework and exam questions at various times. If you're interested in the source for a specific problem, feel free to send me some mail. I will say, however, that many of these problems came from these excellent sources:
End of A collection of nice problems
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The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.