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  2. 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 ...

  3. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).

  4. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

  5. Coins in a fountain - Wikipedia

    en.wikipedia.org/wiki/Coins_in_a_fountain

    Coins in a fountain is a problem in combinatorial mathematics that involves a generating function.In this problem, a fountain is an arrangement of non-overlapping unit circles into horizontal rows in the plane so that consecutive circles in the bottom row are tangent to each other, and such that each circle in a higher row is tangent to two coins from the next row below it.

  6. Word problem - Wikipedia

    en.wikipedia.org/wiki/Word_problem

    Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element ...

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  8. Fill-In (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Fill-In_(puzzle)

    If a starter word is given in the grid, using it as the beginning search point is often useful. Raw "trial and error" is best used when only two or three words can potentially fit at a given location; temporarily assume one of the words, and see if an impossible letter combination results.

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