# A Mathematical Pandora's Box by Brian Bolt

By Brian Bolt

A Mathematical Pandora's field has been written in keeping with the good fortune of Brian Bolt's past mathematical puzzle books. via his personal adventure, the writer has came across a global curiosity in those and related puzzles. not just do they stimulate artistic considering yet they could additionally open up new components of arithmetic to the reader. This e-book comprises 142 actions: as well as puzzles, there are video games, tips, types and reasons of varied phenomena. they vary from quantity manipulation, via chuffed and amicable numbers, coin puzzles, picnicking bears and pentominoes, to development shapes with cubes. the various puzzles date from thousands of years in the past whereas many others are unique, giving every person whatever to contemplate. there's a targeted remark on the finish of the e-book, giving strategies and causes, including the occasional follow-up challenge.

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Extra resources for A Mathematical Pandora's Box

Sample text

Now tear the two pieces in half and put them on top of each other to form a pile of four pieces. Tear the four pieces in half and put them on top of each other to form a pile of eight pieces. Imagine yourself repeating this process 40 times, always doubling the number of pieces of paper in your pile. How high do you think your pile would be at the end of the process? 72 A devilish domino distribution! Draw yourself an 8 x 8 squared board to match the size of your dominoes, so that a domino covers exactly two squares.

60 118 A healthy diet! Confirm this slogan by replacing each different letter by a different digit to form a correct sum. BAKED BEKNS FIBRE. 119 A game to make you think! Two players A and B take it in turn to write down a number, less than a hundred, on a piece of paper. A player loses when, having recorded a number, the other player identifies two subsets of the numbers so far recorded which have the same total. Suppose, for example, the players have recorded 19 2 27 39 5 11 after six turns, with A playing first, and B having just recorded 11.

This is a riddle attributed to Euclid from AD 300. A mule and a donkey were walking along laden with sacks of corn. The mule said to the donkey, 'If you gave me one of your sacks, I would be carrying twice as much as you. ' How many sacks of corn were they each carrying? 112 Multiple units! Investigate the factors of the mono-digit numbers consisting of strings of ones, such as 11 111 1111 11111 111111 ... and try to determine which, if any, are prime after 11. 58 113 Dr Sharma's railway riddle While out with her niece, Emma, Dr Sharma watched an express train snaking along the curved track and pondered over the problem the railway engineers had solved.