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  2. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    So the answer is 3 because ⁠ 1 / 2 ⁠ × 3 × 8 = 12." A correct multiplicative answer is relatively rare. By far the most common answer is something like: "2 units because the water level on the right side increased by two units so the water level on the left side must decrease by two units and 4 – 2 = 2."

  3. 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.

  4. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. [1] [2]A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps.

  5. Ages of Three Children puzzle - Wikipedia

    en.wikipedia.org/wiki/Ages_of_Three_Children_puzzle

    The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver ...

  6. Guess 2/3 of the average - Wikipedia

    en.wikipedia.org/wiki/Guess_2/3_of_the_average

    Once these strategies are eliminated for every player, ⁠66 + 2 / 3 ⁠ becomes the new highest possible average (that is, if everyone chooses ⁠66 + 2 / 3 ⁠). Therefore, any guess above ⁠44 + 4 / 9 ⁠ is weakly dominated for every player since no player will guess above ⁠66 + 2 / 3 ⁠ , and ⁠ 2 / 3 ⁠ of ⁠66 + 2 / 3 ⁠ is ⁠44 ...

  7. Inference - Wikipedia

    en.wikipedia.org/wiki/Inference

    Inferences are steps in reasoning, moving from premises to logical consequences; etymologically, the word infer means to "carry forward". Inference is theoretically traditionally divided into deduction and induction, a distinction that in Europe dates at least to Aristotle (300s BCE).

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