By Henry E. Dudeney, Martin Gardner
For 2 many years, self-taught mathematician Henry E. Dudeney wrote a puzzle web page, "Perplexities," for The Strand Magazine. Martin Gardner, longtime editor of Scientific American's mathematical video games column, hailed Dudeney as "England's maximum maker of puzzles," unsurpassed within the volume and caliber of his innovations. This compilation of Dudeney's long-inaccessible demanding situations attests to the puzzle-maker's reward for growing witty and compelling conundrums.
This treasury of exciting puzzles starts with a range of arithmetical and algebraical difficulties, together with demanding situations related to cash, time, velocity, and distance. Geometrical difficulties stick with, in addition to combinatorial and topological difficulties that characteristic magic squares and stars, path and community puzzles, and map coloring puzzles. the gathering concludes with a sequence of online game, domino, fit, and unclassified puzzles. recommendations for all 536 difficulties are integrated, and fascinating drawings brighten up the booklet.
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Extra resources for 536 Puzzles and Curious Problems
146. SIMPLE MULTIPLICATION George Crackham produced this puzzle at the breakfast table one morning: ********** 2 ********** He asked them to substitute for the stars all the ten digits in each row, so arranged as to form a correct little sum in multiplication. He said that the 0 was not to appear at the beginning or end of either number. Can the reader find an answer? Skeleton Puzzles 45 147. AN ABSOLUTE SKELETON Here is a good skeleton puzzle.
O. It is the first example I have seen of one of these missing-figure puzzles in which only one figure is given, and there appears to be only one possible solution. And, curiously enough, it is not difficult to reconstruct the simple division sum. For example, as the divisor when multiplied by 7 produces only three figures we know the first figure in the divisor must be I. We can then prove that the first figure in the dividend must be I; that, in consequence of bringing down together the last two figures of the dividend, the last but one figure in the quotient must be 0, that the first and last figures in the quotient must be greater than 7, because they each produce four figures in the sum, and so on.
For example, I think very few discover that 64 can be expressed with only two fours. Can the reader do it? 110. THE TWO DIGITS Write down any two-figure number (different figures and no 0) and then express that number by writing the same figures in reverse order, with or without arithmetical signs. For example, 45 = 5 X 9 would be correct if only the 9 had happened to be a 4. Or SI = (I + S)2 would do, except for the fact that it introduces a third figure-the 2. 111. DIGITAL COINCIDENCES If! multiply, and also add, 9 and 9, I get SI and IS, which contain the same figures.