# One Hundred Problems in Elementary Mathematics

Courier Corporation, Jan 1, 1979 - 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 11 Preface 11 Page 11 Exercise on the multiplication table 11 55 11 Division by 11 12 58 12 Generalization 13 61 13 Chapter II 14 Triple halving of the perimeter of a triangle 15 70 15
 Polyhedron 22 108 Nonconvex polyhedron 23 109 Problem from Wonderland 23 110 Three spheres and a line 24 113 Chapter IV 115 Quartering of a pie 26 116 Another pie 26 117 Weighings 26 119

 Chapter 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 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 Geodesics 20 91 Motion of a particle 20 92 Diagrams of the cube 20 95 Cubes 20 96 Tetrahedra 21 98 Tetrahedron with congruent faces 2199 102 Distance on a surface 21 103 The wandering of a fly 22 104 Regular dodecahedron 22 105
 How many fish are there in the pond? 27 121 ball bearings 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 Blood groups again 32 129 Excess of labour 32 130 Sun and Moon 36 150 Chapter V 153 Rooks on the chessboard 37 157 Elliptical billiards 38 161 A sports problem 1 38 162 Theory of sport eliminations 38 163 Volleyball league 39 164 Tournaments 39 165 Four dogs 40 166 Chase II 41 167 Incomplete data 41 168 Motorboat II 42 169 Chapter VI 171 Student debts 44 172 Abacus 44 173 Washing the streets 45 174 Copyright

### References to this book

 How to Solve It: Modern HeuristicsLimited preview - 2004
 Problem-Solving StrategiesArthur EngelNo preview available - 1999
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