CONTENTS

PREFACE v

ARITHMETICAL AND ALGEBRAICAL PROBLEMS 1

Money Puzzles 1

Age and Kinship Puzzles 6

Clock Puzzles 9

Locomotion and Speed Puzzles 11

Digital Puzzles 13

Various Arithmetical and Algebraical Problems 17

GEOMETRICAL PROBLEMS 27

Dissection Puzzles 27

Greek Cross Puzzles 28

Various Dissection Puzzles 35

Patchwork Puzzles 46

Various Geometrical Puzzles 49

POINTS AND LINES PROBLEMS 56

MOVING COUNTER PROBLEMS 58

UNICURSAL AND ROUTE PROBLEMS 68

COMBINATION AND GROUP PROBLEMS 76

CHESSBOARD PROBLEMS 85

The Chessboard 85

Statical Chess Puzzles 88

The Guarded Chessboard 95

Dynamical Chess Puzzles 96

Various Chess Puzzles 105

MEASURING, WEIGHING, AND PACKING PUZZLES 109

CROSSING RIVER PROBLEMS 112

PROBLEMS CONCERNING GAMES 114

PUZZLE GAMES 117

MAGIC SQUARE PROBLEMS 119

Subtracting, Multiplying, and Dividing Magics 124

Magic Squares of Primes 125

MAZES AND HOW TO THREAD THEM 127

THE PARADOX PARTY 137

UNCLASSIFIED PROBLEMS 142

SOLUTIONS 148

INDEX 253

Amusements in Mathematics · 第 5 / 970 题