# One Hundred Problems in Elementary Mathematics

Courier Corporation, 1964 - Science - 174 pages
A stimulating collection of one hundred problems, complete with instructive solutions, on numbers, equations, polygons, polyhedra and many other topics. Extremely challenging for anyone with a fair knowledge of mathematics up to calculus. Includes an additional 13 problems without solutions.

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### Contents

 Foreword 1 Preface 4 Chapter VII 7 Exercise on the multiplication table II 55 11 The divisibility of numbers 12 59 12 Generalization 13 61 13 Chapter II 14 Triple halving of the perimeter of a triangle 15 70 15
 The wandering of a fly 22 104 Regular dodecahedron 22 105 Polyhedron 22 108 Nonconvex polyhedron 23 109 Problem from Wonderand 23 110 Three spheres and a line 24 113 PRACTICAL AND NONPRACTICAL PROBLEMS 48 Puzzle 25 115 Quartering of a pie 26 116

 Chipttr III 19 Diagonal of a wooden block 32 133 32 The tying of boxes 33 133 33 Division of plots 34 136 34 Neighbouring towns 35 144 35 Sun and Moon 36 150 36 Chiptcr V 37 PROBLEMS WITHOUT SOLUTION 47 Division of a triangle 15 75 Triangles 15 77 Triangular network II 16 78 What is left from a rectangle? 16 79 Division of a square 16 81 Square network 16 83 Lattice points 17 84 15 17 85 26 Polygon 17 85 Points and a circle 18 86 Geometrical problem 18 87 Cube 19 90 Geodesies 20 91 Motion of a particle 20 92 Diagrams of the cube 20 95 Cubes 20 96 Tetrahedra 21 98 Tetrahedron with congruent faces 21 99 Octahedron 21 102 Distance on a surface 21 103
 Another pie 26 117 Weighings 26 119 How many fish are there in the pond? 27 121 ballbearings 28 122 Watch with both hands identical 29 123 Problems of giants and midgets 29 125 Acks and backs 29 127 Blood groups 31 128 63 Blood groups again 32 129 Excess of labour 32 130 Chessboard 37 153 Rooks on the chessboard 37 157 Elliptical billiards 38 161 A sports problem I 38 162 Theory of sport eliminations 38 163 Volleyball league 39 164 Tournaments 39 165 Four dogs 40 166 Chase IT 41 167 Incomplete data 41 168 Motorboat II 42 169 Chapter VI 171 Word quiz 43 172 Abacus 44 173 Washing the streets 45 174 Copyright