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  2. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = ⁠ 13×5 / 2 ⁠ = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.

  3. Hilbert's fifteenth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_fifteenth_problem

    The entirety of the original problem statement is as follows: The problem consists in this: To establish rigorously and with an exact determination of the limits of their validity those geometrical numbers which Schubert especially has determined on the basis of the so-called principle of special position, or conservation of number, by means of the enumerative calculus developed by him.

  4. 108 “Are You Smarter Than A 5th Grader?” Questions ... - AOL

    www.aol.com/lifestyle/108-smarter-5th-grader...

    Based on the hit game show franchise Are You Smarter Than a 5th Grader?, which first aired in 2007, this trivia challenge brings the fun of the show right to your next party.

  5. Quiz bowl - Wikipedia

    en.wikipedia.org/wiki/Quiz_bowl

    College Bowl, which was created by Don Reid as a USO activity for U.S. servicemen during World War II, was an influential early quiz bowl program. [5] [6] Also known as "The College Quiz Bowl," it started on radio in 1953 and then aired on national television in the U.S. from 1959 to 1970. [7]

  6. 15 puzzle - Wikipedia

    en.wikipedia.org/wiki/15_puzzle

    The exceptional graph is a regular hexagon with one diagonal and a vertex at the center added; only ⁠ 1 / 6 ⁠ of its permutations can be attained, which gives an instance of the exotic embedding of S 5 into S 6. For larger versions of the n puzzle, finding a solution is easy. But, the problem of finding the shortest solution is NP-hard.

  7. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"

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