536 Puzzles and Curious Problems (Dover Math Games & Puzzles) - Softcover

Dudeney, Henry Ernest

Softcover

ISBN 10: 0486796868 ISBN 13: 9780486796864

Verlag: Dover Publications Inc., 2016

Inhaltsangabe

For two decades, self-taught mathematician Henry E. Dudeney wrote a puzzle page, "Perplexities," for The Strand Magazine. Martin Gardner, longtime editor of Scientific American's mathematical games column, hailed Dudeney as "England's greatest maker of puzzles," unsurpassed in the quantity and quality of his inventions. This compilation of Dudeney's long-inaccessible challenges attests to the puzzle-maker's gift for creating witty and compelling conundrums.
This treasury of intriguing puzzles begins with a selection of arithmetical and algebraical problems, including challenges involving money, time, speed, and distance. Geometrical problems follow, along with combinatorial and topological problems that feature magic squares and stars, route and network puzzles, and map coloring puzzles. The collection concludes with a series of game, domino, match, and unclassified puzzles. Solutions for all 536 problems are included, and charming drawings enliven the book.

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Über die Autorin bzw. den Autor

English author and mathematician Henry E. Dudeney (1857–1930) specialized in logic and mathematical puzzles. His column, "Perplexities," was a regular feature in The Strand Magazine for 20 years, and in 1926 he published the first known crossnumber puzzle.

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For two decades, self-taught mathematician Henry E. Dudeney wrote a puzzle page, "Perplexities," for The Strand Magazine. Martin Gardner, longtime editor of Scientific American's mathematical games column, hailed Dudeney as "England's greatest maker of puzzles," unsurpassed in the quantity and quality of his inventions. This compilation of Dudeney's long-inaccessible challenges attests to the puzzle-maker's gift for creating witty and compelling conundrums.
This treasury of intriguing puzzles begins with a selection of arithmetical and algebraical problems, including challenges involving money, time, speed, and distance. Geometrical problems follow, along with combinatorial and topological problems that feature magic squares and stars, route and network puzzles, and map coloring puzzles. The collection concludes with a series of game, domino, match, and unclassified puzzles. Solutions for all 536 problems are included, and charming drawings enliven the book.
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536 Puzzles and Curious Problems

By Henry Ernest Dudeney, Martin Gardner

Dover Publications, Inc.

Copyright © 2016 Henry Ernest Dudeney
All rights reserved.

ISBN: 978-0-486-79686-4

Contents

INTRODUCTION, 
ARITHMETICAL AND ALGEBRAICAL PROBLEMS, 
Money Puzzles, 
Age Puzzles, 
Clock Puzzles, 
Speed and Distance Puzzles, 
Weight Puzzles, 
Digital Puzzles, 
Skeleton Puzzles, 
Cryptarithm Puzzles, 
Miscellaneous Puzzles, 
GEOMETRICAL PROBLEMS, 
Triangle, Square, and other Polygon Puzzles, 
Circle Puzzles, 
Dividing-the-Plane Puzzles, 
Plane Geometry Puzzles, 
Solid Geometry Puzzles, 
Dissection Puzzles, 
Paper Folding Puzzles, 
Moving Counter Puzzles, 
COMBINATORIAL AND TOPOLOGICAL PROBLEMS, 
Magic Square Puzzles, 
Magic Star Puzzles, 
Liquid Pouring Puzzles, 
Route and Network Puzzles, 
Point Alignment Puzzles, 
Map Coloring Puzzles, 
Miscellaneous Combinatorial Puzzles, 
GAME PUZZLES, 
DOMINO PUZZLES, 
MATCH PUZZLES, 
UNCLASSIFIED PUZZLES, 
ANSWERS, 
INDEX, 

CHAPTER 1

Arithmetic & Algebraic Problems

Arithmetic & Algebraic Problems

1. CONCERNING A CHECK

A man went into a bank to cash a check. In handing over the money the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found that he possessed exactly twice the amount of the check. He had no money in his pocket before going to the bank. What was the exact amount of that check?

2. DOLLARS AND CENTS

A man entered a store and spent one-half of the money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered?

3. LOOSE CASH

What is the largest sum of money — all in current coins and no silver dollars — that I could have in my pocket without being able to give change for a dollar, half dollar, quarter, dime, or nickel?

4. GENEROUS GIFTS

A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift.

"This means," he pointed out, "that you will each receive one dollar less."

How much did each person receive at that last distribution?

5. BUYING BUNS

Buns were being sold at three prices: one for a penny, two for a penny, and three for a penny. Some children (there were as many boys as girls) were given seven pennies to spend on these buns, each child to receive exactly the same value in buns. Assuming that all buns remained whole, how many buns, and of what types, did each child receive?

6. UNREWARDED LABOR

A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight dollars a day, on the condition that he would forfeit ten dollars a day for every day that he idled. At the end of the month neither owed the other anything, which entirely convinced Willie of the folly of labor. Can you tell just how many days' work he put in and on how many days he idled?

7. THE PERPLEXED BANKER

A man went into a bank with a thousand dollars, all in dollar bills, and ten bags. He said, "Place this money, please, in the bags in such a way that if I call and ask for a certain number of dollars you can hand me over one or more bags, giving me the exact amount called for without opening any of the bags."

How was it to be done? We are, of course, only concerned with a single application, but he may ask for any exact number of dollars from one to one thousand.

8. A WEIRD GAME

Seven men engaged in play. Whenever a player won a game he doubled the money of each of the other players. That is, he gave each player just as much money as each had in his pocket. They played seven games and, strange to say, each won a game in turn in the order of their names, which began with the letters A, B, C, D, E, F, and G.

When they had finished it was found that each man had exactly $1.28 in his pocket. How much had each man in his pocket before play?

9. DIGGING A DITCH

Here is a curious question that is more perplexing than it looks at first sight. Abraham, an infirm old man, undertook to dig a ditch for two dollars. He engaged Benjamin, an able-bodied fellow, to assist him and share the money fairly according to their capacities. Abraham could dig as fast as Benjamin could shovel out the dirt, and Benjamin could dig four times as fast as Abraham could do the shoveling.

How should they divide the money? Of course, we must assume their relative abilities for work to be the same in digging or shoveling.

10. NAME THEIR WIVES

A man left a legacy of $ 1,000.00 to three relatives and their wives. The wives received together $396.00. Jane received $10.00 more than Catherine, and Mary received $10.00 more than Jane. John Smith was given just as much as his wife, Henry Snooks got half as much again as his wife, and Tom Crowe received twice as much as his wife. What was the Christian name of each man's wife?

11. MARKET TRANSACTIONS

A farmer goes to market and buys a hundred animals at a total cost of $1,000.00. The price of cows being $50.00 each, sheep $10.00 each, and rabbits 50¢ each, how many of each kind does he buy? Most people will solve this, if they succeed at all, by more or less laborious trial, but there are several direct ways of getting the solution.

12. THE SEVEN APPLEWOMEN

Here is an old puzzle that people are frequently writing to me about. Seven applewomen, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money. What was the price?

13. A LEGACY PUZZLE

A man left legacies to his three sons and to a hospital, amounting in all to $1,320.00. If he had left the hospital legacy also to his first son, that son would have received as much as the other two sons together. If he had left it to his second son, he would have received twice as much as the other two sons together. If he had left the hospital legacy to his third son, he would have received then thrice as much as the first son and second son together. Find the amount of each legacy.

14. PUZZLING LEGACIES

A man bequeathed a sum of money, a little less than $1,500.00, to be divided as follows: The five children and the lawyer received such sums that the square root of the eldest son's share, the second son's share divided by two, the third son's share minus $2.00, the fourth son's share plus $2.00, the daughter's share multiplied by two, and the square of the lawyer's fee all worked out at exactly the same sum of money. No dollars were divided, and no money was left over after the division. What was the total amount bequeathed?

15. DIVIDING THE LEGACY

A man left $100.00 to be divided between his two sons Alfred and Benjamin. If one-third of Alfred's legacy be taken from one-fourth of Benjamin's, the remainder would be $11.00. What was the amount of each legacy?

16. A NEW PARTNER

Two partners named Smugg and Williamson have decided...

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 0486796868
• ISBN 13: 9780486796864
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 428
• Herausgeber: Gardner Martin
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien