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  2. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    Long division of 23,480 / 37 now proceeds as normal yielding 634 with remainder 22. The remainder is multiplied by 3 to get feet and carried up to the feet column. Long division of the feet gives 1 remainder 29 which is then multiplied by twelve to get 348 inches.

  3. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    Given real numbers x and y, integers m and n and the set of integers, floor and ceiling may be defined by the equations ⌊ ⌋ = {}, ⌈ ⌉ = {}. Since there is exactly one integer in a half-open interval of length one, for any real number x, there are unique integers m and n satisfying the equation

  4. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    How to Solve It (1945) is a small volume by mathematician George Pólya, describing methods of problem solving. [1] This book has remained in print continually since ...

  5. Five-room puzzle - Wikipedia

    en.wikipedia.org/wiki/Five-room_puzzle

    The puzzle consists of five rooms, which can be thought of as being connected by doorways. The five-room puzzle is a classical, [1] popular puzzle involving a large rectangle divided into five "rooms".

  6. Square foot - Wikipedia

    en.wikipedia.org/wiki/Square_foot

    Comparison of 1 square foot with some Imperial and metric units of area. The square foot (pl. square feet; abbreviated sq ft, sf, or ft 2; also denoted by ' 2 and ⏍) is an imperial unit and U.S. customary unit (non-SI, non-metric) of area, used mainly in the United States, Canada, the United Kingdom, Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore and Hong Kong.

  7. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.

  8. The spider and the fly problem - Wikipedia

    en.wikipedia.org/wiki/The_spider_and_the_fly_problem

    In the typical version of the puzzle, an otherwise empty cuboid room 30 feet long, 12 feet wide and 12 feet high contains a spider and a fly. The spider is 1 foot below the ceiling and horizontally centred on one 12′×12′ wall. The fly is 1 foot above the floor and horizontally centred on the opposite wall.

  9. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    the relationship between square feet and square inches is 1 square foot = 144 square inches, where 144 = 12 2 = 12 × 12. Similarly: 1 square yard = 9 square feet; 1 square mile = 3,097,600 square yards = 27,878,400 square feet; In addition, conversion factors include: 1 square inch = 6.4516 square centimetres; 1 square foot = 0.092 903 04 ...