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  2. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    This sum can also be found in the four outer numbers clockwise from the corners (3+8+14+9) and likewise the four counter-clockwise (the locations of four queens in the two solutions of the 4 queens puzzle [50]), the two sets of four symmetrical numbers (2+8+9+15 and 3+5+12+14), the sum of the middle two entries of the two outer columns and rows ...

  3. Category:50 (number) - Wikipedia

    en.wikipedia.org/wiki/Category:50_(number)

    Pages in category "50 (number)" The following 13 pages are in this category, out of 13 total. This list may not reflect recent changes. * 50 (number) 0–9.

  4. 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.

  5. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    For example, if you had two types of coins valued at 6 cents and 14 cents, the GCD would equal 2, and there would be no way to combine any number of such coins to produce a sum which was an odd number; additionally, even numbers 2, 4, 8, 10, 16 and 22 (less than m=24) could not be formed, either.

  6. 15 puzzle - Wikipedia

    en.wikipedia.org/wiki/15_puzzle

    The number of possible positions of the 24 puzzle is ⁠ 25! / 2 ⁠ ≈ 7.76 × 10 24, which is too many to calculate God's number feasibly using brute-force methods. In 2011, lower bounds of 152 single-tile moves or 41 multi-tile moves had been established, as well as upper bounds of 208 single-tile moves or 109 multi-tile moves.

  7. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    Suppose one needs to square a number n near 50. The number may be expressed as n = 50 − a so its square is (50−a) 2 = 50 2 − 100a + a 2. One knows that 50 2 is 2500. So one subtracts 100a from 2500, and then add a 2. For example, say one wants to square 48, which is 50 − 2. One subtracts 200 from 2500 and add 4, and get n 2 = 2304.

  8. Tetrahedral number - Wikipedia

    en.wikipedia.org/wiki/Tetrahedral_number

    Number of gifts of each type and number received each day and their relationship to figurate numbers. Te 12 = 364 is the total number of gifts "my true love sent to me" during the course of all 12 verses of the carol, "The Twelve Days of Christmas". [3] The cumulative total number of gifts after each verse is also Te n for verse n.

  9. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is