Recreational Math Problems

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These problems are solvable by high school students.

  • Create a Venn diagram of 5-card poker hands. Fill in the number of different hands (or likelihoods) in each category.


  • "There are 10 kinds of people in the world: people who don't know binary, people who do, and people who know ternary." Why does this make sense? Can it be extended further?


  • Does an icosahedron have the same volume as 20 tetrahedrons with the same edge length?


  • In the diagram below, d is a corner of a solid where three sides meet at right angles. Is angle gef obtuse, right, or acute? Under what conditions would it be any of those? Compare to angle egb for ideas.

alt text

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