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.

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