Mathematical Cavalcade - download pdf or read online

By Brian Bolt

ISBN-10: 0511414986

ISBN-13: 9780511414985

ISBN-10: 0521426170

ISBN-13: 9780521426176

131 actions, starting from matchstick and coin puzzles via ferrying, railway shunting, dissection, topological and domino difficulties to a number of magical quantity arrays with brilliant houses are integrated.

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70 All present! Generating numbers which contain all the digits 1,2, 3, . . , 9 has a fascination all of its own. Unfortunately, many calculators only display eight digits, so some ingenuity will be needed. The squares of the following numbers all produce numbers of this kind: 11 8262 12 5432 15 681 2 18 0722 = = = = 19 19 23 29 3772 6292 1782 0342 = = = = There are in fact 75 further square numbers of this type. How many can you find? 36 71 Catch your shadow Starting at A a person can trace out a route on the visual display unit of a computer.

70 All present! Generating numbers which contain all the digits 1,2, 3, . . , 9 has a fascination all of its own. Unfortunately, many calculators only display eight digits, so some ingenuity will be needed. The squares of the following numbers all produce numbers of this kind: 11 8262 12 5432 15 681 2 18 0722 = = = = 19 19 23 29 3772 6292 1782 0342 = = = = There are in fact 75 further square numbers of this type. How many can you find? 36 71 Catch your shadow Starting at A a person can trace out a route on the visual display unit of a computer.

Players take turns to play and the loser is the person forced to select the last dot, which of course will always be at the top right-hand corner. A typical game is shown below where A plays first and chooses points Au A2, . . while B chooses Bu 5 2 , . . and forces A to play the losing move. Can you develop a winning strategy? 59 Measuring the diagonal of a brick How can you use a ruler to measure the length of the long diagonal from one corner of a brick to its opposite corner? 29 60 Domino knots Many interesting designs can be made using all 28 dominoes from a standard double-six set, such as the two knot designs shown here.

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Mathematical Cavalcade by Brian Bolt


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