THE FIGURES, UP TO 100, ARRANGED SO AS TO MAKE 505 IN EACH COLUMN, WHEN COUNTED IN TEN COLUMNS PERPENDICULARLY, AND THE SAME WHEN COUNTED IN TEN FILES HORIZONTALLY.
| 10 | 92 | 93 | 7 | 5 | 96 | 4 | 98 | 99 | 1 |
| 11 | 19 | 18 | 84 | 85 | 86 | 87 | 13 | 12 | 90 |
| 71 | 29 | 28 | 77 | 76 | 75 | 24 | 23 | 22 | 80 |
| 70 | 62 | 63 | 37 | 36 | 35 | 34 | 68 | 69 | 31 |
| 41 | 52 | 53 | 44 | 46 | 45 | 47 | 58 | 59 | 60 |
| 51 | 42 | 43 | 54 | 56 | 55 | 57 | 48 | 49 | 50 |
| 40 | 32 | 33 | 67 | 65 | 66 | 64 | 38 | 39 | 61 |
| 30 | 79 | 78 | 27 | 26 | 25 | 74 | 73 | 72 | 21 |
| 81 | 89 | 88 | 14 | 15 | 16 | 17 | 83 | 82 | 20 |
| 100 | 9 | 8 | 94 | 95 | 6 | 97 | 3 | 2 | 91 |
Each of these files, when added up, makes 505.
Each of these ten columns, when added up, makes 505.
THE OLD WOMAN AND HER EGGS.
At a time when eggs were scarce, an old woman who possessed some remarkably good-laying hens, wishing to oblige her neighbors, sent her daughter round with a basket of eggs to three of them; at the first house, which was the squire's, she left half the number of eggs she had and half a one over; at the second she left half of what remained and half an egg over; and at the third she again left half of the remainder, and half a one over; she returned with one egg in her basket, not having broken any. Required—the number she set out with. Ans. 15 eggs.
THE MATHEMATICAL FORTUNE TELLER.
Procure six cards, and having ruled them the same as the following diagrams, write in the figures neatly and legibly.
It is required to tell the number thought by any person, the numbers being contained in the cards, and such numbers not to exceed 60. How is this done?