Puzzles

Puzzle of the Week

Nine Weights

On the table sit nine identical looking nuggets of gold. However, you know that one of the nine is a clever forgery. The only difference between the fake and the real nuggets is in weight: the fake gold weighs slightly less than the true gold. Unfortunately, this weight difference is not great enough to be noticed in human hands. Fortunately, you have a standard balance scale. Unfortunately, you may only use the balance scale twice. Fortunately, there is a way to find the fake gold even with these restrictions. How?

Math Puzzle Wiki

I am a big proponent of using mathematical puzzles as a teaching tool. To that end, I have started a collection of my favorite puzzles (including the one above) on what I'm calling the Math Puzzle Wiki. It is intended primarily for fellow math teachers as a resource for in class activities and extra credit problems but it might also be interesting to puzzle enthusiasts. You are welcome to add puzzle or improve ones already there.

Puzzles in Research

As an example of how math puzzles can become math research, you might be interested in a recent math talk on counting liars and truth-tellers I presented at the Joint Mathematics Meeting this January.