## All-Star Mathlete PuzzlesPuzzle collections are ubiquitous. But a collection like this one, with so many unusual and original entries, is rare indeed. Dick Hess’s gathering of his all-time favorites includes number puzzles, geometric puzzles, logic puzzles, analytical puzzles, story puzzles--and every one a gem. They vary in difficulty, but every one is challenging. In fact, two of them are mathematical problems still awaiting definitive solutions! Here’s an example of one of the easier ones: Which is the longest month in London? (Answer: October, when clocks are set back one hour.) True connoisseurs will treasure this intriguing volume, and everyone who loves a good puzzle will find something entertaining and worthwhile here. |

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### Contents

INTRODUCTION | 5 |

LOGICAL PUZZLES | 13 |

GEOMETRIC PUZZLES | 26 |

COINWEIGHING PUZZLES | 32 |

PUZZLES THAT WEAVE A STORY | 43 |

SOLUTIONS | 49 |

ACKNOWLEDGMENTS | 93 |

### Common terms and phrases

6C means ABCD Alpha Lyra American Mensa aquarium band Burn lace burning points CHALLENGES The Rules chameleons channel circle COINS Given coins weigh concatenation counterfeit dagger digger decimal points digits Dissected Square eliminated equal the target Expert rules exponents expressions that equal fake false coins figure shows form expressions Four Coins four weighings grams hexomino Humpty Dumpty information given integer Irrational Punch kilograms Knights of Righteousness know my number krypton Lace 2 burns length Logical Hats logicians are error-free Magnetic Tapes Mensa Mensa International minutes Modest Tetromino Nob Yoshigahara North Pole once to form parentheses Pi Mu Epsilon plane possible problem puzzle quadrilateral radius ratio rectangle repeating decimals Roddick Room of Judgment rules as defined scoring numbers once shown simple two-pan balance snail steps tape target number Tetromino tiebreak tiles triple associated Tromino true coin Unlit Venerian volume winning the set