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 amazing houses are integrated.

**Read or Download Mathematical Cavalcade PDF**

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**Extra resources for Mathematical Cavalcade**

**Example text**

It is very easy to select numbers beyond the capacity of your calculator. What happens then? 92 The ship's masts Two ship's masts are of height 6 m and 4 m respectively. Guy wires are stretched from the top of each to the base of the other as shown. 4 m above the deck. How far apart are the masts? 48 6m 93 Help the book designer A book designer wants to improve the layout of a new book. She is required to have a rectangular block of text of area 216 cm2, and wants to surround this with margins down each side of 2 cm, a head margin of 3 cm, and a foot margin of 3 cm.

How many ways can you find? Can you achieve the century using only four signs? 53 103 Fox and geese This is a game for two players played on a squared board in the shape of a cross as shown. You will need G G seventeen counters to represent the geese and G these are placed in the squares marked G in the G diagram. One more counter of a different colour or size can then be used for the fox who starts at the square marked F, in the centre. The geese can move one square at a time either left, right or down but not up or diagonally.

54 G G G G G G G G G F G G G G 105 The magician's ribbon factory A magician asked his supplier of tricks if they could design a trick for him which would appear to manufacture ribbon. His supplier came up with a star-spangled box which had a small hole in each end. A piece of ribbon appeared to enter the box through one hole and come out through the opposite hole but in such a way that it emerged at three times the rate at which it went in! Could you design such a box? 106 Domino Latin squares 3 4 5 4 5 1 2 1 2 3 4 2 3 2 3 4 1 3 4 CJl 2 1 3 4 1 2 4 CJl 1 1 2 3 4 1 2 3 5 1 2 3 4 Any n x n square array of numbers where each row and column contains each of the n numbers 1 to n once only, as in the examples above, is called a Latin square.

### Mathematical Cavalcade by Brian Bolt

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