By Brian Bolt
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.
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Includes ninety puzzles chosen to extend your problem-solving powers. They contain cryptarithms, asphmetics, simultaneous equations and layered pondering - extra complex puzzles than regular, difficult you to switch letters with digits, holiday codes and masses extra. solutions are integrated.
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Extra resources for Mathematical Cavalcade
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