Introduction I. On Dividing 1 II. Different Ways Of Writing Numbers 13 III. Multiplying Without The Multiplication Table 23 IV. Mostly On Squares 32 V. The Charm Of Decimals 44 VI. Is This Formula True 62 VII. Magic Squares 67 VIII. A Few Remarks On Measuring And On Incommensurable Numbers 77 IX. Some Facts About Pi 82 X. Geometrical Arithmetic 92 XI. Oddities Of Numbers 108 XII. Equations With Many Answers 119 XIII. Drawing A Straight Line Without A Ruler 128 XIV. The Impossible In Mathematics 137 Answers To Some Of The Problems 144