By Henry Ernest, Dudeney

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 developing witty and compelling conundrums.

This treasury of fascinating puzzles starts with a range of arithmetical and algebraical difficulties, together with demanding situations concerning cash, time, velocity, and distance. Geometrical difficulties keep on 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 video game, domino, fit, and unclassified puzzles. options for all 536 difficulties are incorporated, and fascinating drawings liven up the booklet.

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**Additional info for 536 Puzzles and Curious Problems**

**Example text**

Can you find one, or all of them? 46 Arithmetic & Algebraic Problems 149. SIMPLE DIVISION Can you restore this division problem by substituting a figure for every asterisk without altering or removing the sevens? If you start out with the assumption that all the sevens are given and that you must not use another, you will attempt an impossibility, though the proof is difficult; but when you are told that though no additional sevens may be used in divisor, dividend, or quotient, any number of extra sevens may be used in the working, it is comparatively easy.

Of course, 0 is not to be regarded as a digit. 105. THE TWO ADDITIONS Can you arrange the following figures in two groups of four figures each so that each group shall add to the same sum? 12345 789 If you were allowed to reverse the 9 so as to change it into the missing 6 it would be very easy. For example, 1,2,7,8 and 3, 4,5,6 add up to 18 in both cases. But you are not allowed to make any such reversal. 106. THE REPEATED QUARTETTE If we multiply 64253 by 365 we get the product 23452345, where the first four figures are repeated.

WEIGHING THE TEA A grocer proposed to put up 20 Ibs. of China tea into 2-lb. packets, but his weights had been misplaced by somebody, and he could only find the 5-lb. and the 9-lb. weights. What is the quickest way for him to do the business? We will say at once that only nine weighings are really necessary. 102. AN EXCEPTIONAL NUMBER A number is formed of five successive digits (not necessarily in regular order) so that the number formed by the first two multiplied by the central digit will produce the number expressed by the last two.

### 536 Puzzles and Curious Problems by Henry Ernest, Dudeney

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