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  2. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    One solution of the nine dots puzzle. It is possible to mark off the nine dots in four lines. [13] To do so, one goes outside the confines of the square area defined by the nine dots themselves. The phrase thinking outside the box, used by management consultants in the 1970s and 1980s, is a restatement of the solution strategy. According to ...

  3. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

  4. Balance puzzle - Wikipedia

    en.wikipedia.org/wiki/Balance_puzzle

    For example, in detecting a dissimilar coin in three weighings (⁠ = ⁠), the maximum number of coins that can be analyzed is ⁠ = ⁠.Note that with ⁠ ⁠ weighings and ⁠ ⁠ coins, it is not always possible to determine the nature of the last coin (whether it is heavier or lighter than the rest), but only that the other coins are all the same, implying that the last coin is the ...

  5. American Invitational Mathematics Examination - Wikipedia

    en.wikipedia.org/wiki/American_Invitational...

    The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 000 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.

  6. PLAN (test) - Wikipedia

    en.wikipedia.org/wiki/PLAN_(test)

    PLAN test booklets. The PLAN assessment was a preliminary ACT test from ACT, Inc. that was generally administered in the sophomore year. [1] The PLAN test was scored between 1 and 32 and was determined by a composite scoring system much like that of the ACT, based on the scores received on each of the categories of the test.

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  8. Derangement - Wikipedia

    en.wikipedia.org/wiki/Derangement

    (n factorial) is the number of n-permutations; !n (n subfactorial) is the number of derangements – n-permutations where all of the n elements change their initial places. In combinatorial mathematics, a derangement is a permutation of the elements of a set in which no element appears in its original

  9. List of mathematical examples - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_examples

    This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...

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