The Broken Chessboard

There is a story of Prince Henry, son of William the Conqueror, afterwards Henry I., that is so frequently recorded in the old chronicles that it is doubtless authentic. The follow...

Math Puzzle Math Puzzle Questions MISCELLANEOUS PUZZLES
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BEEF AND SAUSAGES.

"A neighbour of mine," said Aunt Jane, "bought a certain quantity of beef at two shillings a pound, and the same quantity of sausages at eighteenpence a pound. I pointed out to her...

Math Puzzle Math Puzzle Questions Money Puzzles
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THE SULTAN'S ARMY.

A certain Sultan wished to send into battle an army that could be formed into two perfect squares in twelve different ways. What is the smallest number of men of which that army co...

Math Puzzle Math Puzzle Questions Money Puzzles
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THE EIGHT ROOKS.

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Math Puzzle Math Puzzle Questions Chessboard Problems
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NINE JOLLY GAOL BIRDS.

Shortly after the episode recorded in the last puzzle occurred, a ninth prisoner was placed in the vacant cell, and the merry monarch then offered them all complete liberty on the...

Math Puzzle Math Puzzle Questions Magic Squares Problem.
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CARD TRIANGLES.

Here you pick out the nine cards, ace to nine of diamonds, and arrange them in the form of a triangle, exactly as shown in the illustration, so that the pips add up the same on the...

Math Puzzle Math Puzzle Questions Problems Concerning Games.
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THE BANKER'S PUZZLE.

A banker had a sporting customer who was always anxious to wager on anything. Hoping to cure him of his bad habit, he proposed as a wager that the customer would not be able to div...

Math Puzzle Math Puzzle Questions Money Puzzles
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THE BANNER PUZZLE.

A Lady had a square piece of bunting with two lions on it, of which the illustration is an exactly reproduced reduction. She wished to cut the stuff into pieces that would fit toge...

Math Puzzle Math Puzzle Questions Patchwork Puzzles
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A DORMITORY PUZZLE.

In a certain convent there were eight large dormitories on one floor, approached by a spiral staircase in the centre, as shown in our plan. On an inspection one Monday by the abbes...

Math Puzzle Math Puzzle Questions Combination and Group Problems
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QUEER MULTIPLICATION.

If I multiply 51,249,876 by 3 (thus using all the nine digits once, and once only), I get 153,749,628 (which again contains all the nine digits once). Similarly, if I multiply 16,5...

Math Puzzle Math Puzzle Questions Money Puzzles
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CARD MAGIC SQUARES.

Take an ordinary pack of cards and throw out the twelve court cards. Now, with nine of the remainder (different suits are of no consequence) form the above magic square. It will be...

Math Puzzle Math Puzzle Questions Magic Squares Problem.
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THE TABLE-TOP AND STOOLS.

I have frequently had occasion to show that the published answers to a great many of the oldest and most widely known puzzles are either quite incorrect or capable of improvement....

Math Puzzle Math Puzzle Questions Various Dissection Puzzles
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THE SPOT ON THE TABLE.

A boy, recently home from school, wished to give his father an exhibition of his precocity. He pushed a large circular table into the corner of the room, as shown in the illustrati...

Math Puzzle Math Puzzle Questions Money Puzzles
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STEALING THE BELL-ROPES.

Two men broke into a church tower one night to steal the bell-ropes. The two ropes passed through holes in the wooden ceiling high above them, and they lost no time in climbing to...

Math Puzzle Math Puzzle Questions Patchwork Puzzles
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THE SOUTHERN CROSS.

In the above illustration we have five Planets and eighty-one Fixed Stars, five of the latter being hidden by the Planets. It will be found that every Star, with the exception of t...

Math Puzzle Math Puzzle Questions Chessboard Problems
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THE HAT PUZZLE.

Ten hats were hung on pegs as shown in the illustration--five silk hats and five felt "bowlers," alternately silk and felt. The two pegs at the end of the row were empty. The puzzl...

Math Puzzle Math Puzzle Questions Moving Counter Problem
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THE ROOK'S JOURNEY.

This puzzle I call "The Rook's Journey," because the word "tour" (derived from a turner's wheel) implies that we return to the point from which we set out, and we do not do this in...

Math Puzzle Math Puzzle Questions The Guarded Chessboard
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MRS. SMILEY'S CHRISTMAS PRESENT.

Mrs. Smiley's expression of pleasure was sincere when her six granddaughters sent to her, as a Christmas present, a very pretty patchwork quilt, which they had made with their own...

Math Puzzle Math Puzzle Questions Patchwork Puzzles
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THE DICE NUMBERS.

I have a set of four dice, not marked with spots in the ordinary way, but with Arabic figures, as shown in the illustration. Each die, of course, bears the numbers 1 to 6. When put...

Math Puzzle Math Puzzle Questions Money Puzzles
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A NEW COUNTER PUZZLE.

Here is a new puzzle with moving counters, or coins, that at first glance looks as if it must be absurdly simple. But it will be found quite a little perplexity. I give it in this...

Math Puzzle Math Puzzle Questions The Guarded Chessboard
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THE TWO TRAINS.

I put this little question to a stationmaster, and his correct answer was so prompt that I am convinced there is no necessity to seek talented railway officials in America or elsew...

Math Puzzle Math Puzzle Questions Money Puzzles
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THE EIGHT QUEENS.

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Math Puzzle Math Puzzle Questions Chessboard Problems
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SUCH A GETTING UPSTAIRS.

In a suburban villa there is a small staircase with eight steps, not counting the landing. The little puzzle with which Tommy Smart perplexed his family is this. You are required t...

Math Puzzle Math Puzzle Questions Unclassified Problems.
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THE CYCLISTS' TOUR.

Two cyclists were consulting a road map in preparation for a little tour together. The circles represent towns, and all the good roads are represented by lines. They are starting f...

Math Puzzle Math Puzzle Questions Unicursal and Route Problems
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A LEGAL DIFFICULTY.

"A client of mine," said a lawyer, "was on the point of death when his wife was about to present him with a child. I drew up his will, in which he settled two-thirds of his estate...

Math Puzzle Math Puzzle Questions Money Puzzles
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Foxes And Geese

Here is a little puzzle of the moving counters class that my readers will probably find entertaining. Make a diagram of any convenient size similar to that shown in our illustratio...

Math Puzzle Math Puzzle Questions MISCELLANEOUS PUZZLES
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THE SIBERIAN DUNGEONS.

The above is a trustworthy plan of a certain Russian prison in Siberia. All the cells are numbered, and the prisoners are numbered the same as the cells they occupy. The prison die...

Math Puzzle Math Puzzle Questions Magic Squares Problem.
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THE THREE GROUPS.

There appeared in "Nouvelles Annales de Mathematiques" the following puzzle as a modification of one of my "Canterbury Puzzles." Arrange the nine digits in three groups of two, thr...

Math Puzzle Math Puzzle Questions Money Puzzles
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WINE AND WATER.

Mr. Goodfellow has adopted a capital idea of late. When he gives a little dinner party and the time arrives to smoke, after the departure of the ladies, he sometimes finds that the...

Math Puzzle Math Puzzle Questions Measuring, Weight, and Packing Puzzles.
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A WONDERFUL VILLAGE.

There is a certain village in Japan, situated in a very low valley, and yet the sun is nearer to the inhabitants every noon, by 3,000 miles and upwards, than when he either rises o...

Math Puzzle Math Puzzle Questions Unclassified Problems.
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