Recreational Math Problems
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(Created page with "These problems are solvable by high school students. * "There are 10 kinds of people in the world: people who don't know binary, people who do, and people who know ternary." Wh...") |
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These problems are solvable by high school students. | 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. | ||
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* "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? | * "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? | ||
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* Does an icosahedron have the same volume as 20 tetrahedrons with the same edge length? | * Does an icosahedron have the same volume as 20 tetrahedrons with the same edge length? | ||
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+ | * 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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+ | [[File:A-Prism-Cut-By-An-Oblique-Plane.jpg|alt text]] |