100 Math Brainteasers by Romanowicz, Zbigniew -- Read -- Imperial Library of Trantor

Index

CHAPTER 1

NATURAL NUMBERS AND INTEGERS

1. AT THE BOOKSTORE 2. AQUARIUM 3. MULTIPLYING THE SPOTS 4. THE YEAR OF SOPHIE’S BIRTH 5. I WILL NOT BE A TRIANGLE! 6. A MEASURE OF SUGAR 7. RIDDLE MAN 8. WHAT DID TOM WRITE? 9. NINE-DIGIT NUMBERS 10. PUPILS AND GEOMETRY 11. WAX CLOCKS 12. A PECULIAR NUMBER SEQUENCE 13. DOTS ON THE SIDES 14. ABSENT-MINDED JOAN 15. A MATTER OF AGE 16. NEW YORK HAS THE UPPER HAND! 17. A CHOCOLATE PROBLEM 18. KINGLETS 19. EVEN? ODD? EVEN?… 20. GREAT CONTEST FOR AUTHORS OF MATH PROBLEMS 21. TOM AND HIS SEQUENCES 22. SAYS AGATHA 23. ONE SESSION AFTER ANOTHER 24. DIGITS ’RESHUFFLE’ 25. REMEMBER YOUR PIN

CHAPTER 2

DIVISIBILITY AND PRIME NUMBERS

26. HOW OLD IS MR. WILSON? 27. MR. T’S SONS 28. MYSTERIOUS MULTIPLICATION 29. A ONE HUNDRED-HEADED DRAGON 30. THE POWER OF A WEIRD NUMBER 31. A COLUMN OF PLASTIC TROOPS 32. THE MAID OF ORLÉANS 33. SPECIAL NATURAL NUMBERS 34. INTEGER BREAK DOWN 35. DIVIDE NUMBERS 36. THE MAGNIFICENT SEVEN 37. NOSTRADAMUS AND HIS PROPHECY 38. SQUARE RIDDLE 39. MULTIPLY AND ADD, MULTIPLY AND ADD… 40. PLAY ON NUMBERS

CHAPTER 3

EQUATIONS

41. ZERO-SUM GAME 42. THE CHINESE AND THEIR BICYCLES 43. LONG JUMP COMPETITION 44. CALLING A SPADE A SPADE IN THE GARDEN 45. FAST CREEPERS 46. CAKE LOVERS 47. CHIP IN FOR A NEW BALL 48. PRACTICAL JOKERS 49. HEAD START FOR DAVE 50. QUARRELS ALONG THE WAY 51. A HARD NUT TO CRACK 52. THE SMALLEST NUMBER OUT OF THREE 53. SUM UP IN THE SIMPLEST WAY 54. WATERMELON HALVES 55. BUNNIES FOR SALE 56. VORACIOUS SHEEP 57. MICHAEL THE PROFLIGATE 58. THE TWINS AND THE REST 59. THE CASHIER’S MISTAKE 60. CLASS IN PAIRS 61. ANNA’S AGE 62. HOW OLD IS GRANNY? 63. MUSHROOM GATHERING 64. GAMBLERS 65. AM I THE POWER? 66. A USED UP WHEEL

CHAPTER 4

GEOMETRY

67. ROADSIDE VILLAGES 68. DIVIDE THE TRAPEZOID INTO TWO 69. DIVIDE THE TRAPEZOID INTO FOUR 70. CUTTING THE FIGURE INTO THREE 71. RECTANGLE OF SQUARES 72. A BIT OF WHITE, A BIT OF GREEN 73. THE CUTTING STRAIGHT LINE 74. CIRCUMFERENCES OF THE FOUR 75. TRIANGLE NOT SO STRAIGHT 76. A CLEVER SISTER 77. CIRCLES ON A TRIANGLE 78. A MYSTERIOUS TRIANGLE 79. SLICED AND FLATTENED BOX 80. A SQUARE ON A SQUARE 81. TRIANGULAR LAND 82. ADD THE ANGLES

CHAPTER 5

GAMES, LOGICAL TESTS AND OTHERS

83. ENIGMATIC GIRLS 84. A CUBE WITH HOLES IN IT 85. DEDUCTION AT A ROUND TABLE 86. ERASED MARKS 87. THE YOUNGEST OR THE OLDEST? 88. STRANGE VILLAGES AND A FIRE 89. INTERROGATION 90. QUESTIONABLE DIVISIBILITY BY 10 91. ARRANGING MARBLES 92. SUM OF 50 EQUALS 100 93. MUSHROOM PROBLEMS 94. COLOR BALLS 95. DECEPTIVE PRIZE 96. STEM UP, STEM DOWN 97. WRITING IN DIGITS 98. ADDING UP TO 100 99. PLAYING MATCHES 100. TILES ON THE TAPE

Solutions

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