Cassell's Book of In-door Amusements, Card Games, and Fireside Fun

by Various

8	30	27	10	25	11
35	6	33	34	1	2
17	13	22	21	24	14
20	19	16	15	18	23
5	31	4	3	36	32
26	12	9	28	7	29

Fig. 6.—Magic Thirty-six.

THE MAGIC THIRTY-SIX, OR PUZZLE OF ONE HUNDRED AND ELEVEN.

This puzzle is similar in principle to the preceding one, and consists in so arranging the numbers 1 to 36 in six rows that the sum of each row, added together horizontally or vertically, shall be the same (Fig. 6). The sum of the rows will be found to be 111.

There is a still more complicated puzzle of this class to be performed. It is called

A	B	C	D	E	E	D	C	B	A
91	2	3	97	6	95	94	8	9	100	1
20	82	83	17	16	15	14	88	89	81	2
21	72	73	74	25	26	27	78	79	30	3
60	39	38	64	66	65	67	33	32	41	4
50	49	48	57	55	56	54	43	42	51	5
61	59	58	47	45	46	44	53	52	40	5
31	69	68	34	35	36	37	63	62	70	4
80	22	23	24	75	76	77	28	29	71	3
90	12	13	87	86	85	84	18	19	11	2
1	99	98	4	96	5	7	93	92	10	1

Fig. 7.—Plan of the Magic Hundred.

THE MAGIC HUNDRED, OR THE PUZZLE OF FIVE HUNDRED AND FIVE.

This consists in arranging the numbers from 1 to 100 in ten rows, and in such a way that the sum of the numbers counted, horizontally, vertically, or diagonally, shall be 505, neither more nor less. This puzzle may be set when the Magic Nine, the Magic Fifteen, and the Magic Thirty-six have been solved. The key is printed in Fig. 7. Upon a close examination of the key the solution of the puzzle from memory will soon become quite an easy matter. Observe the rows are numbered on the right hand side from 1 to 5, commencing both at the top and at the bottom. It will be seen that the rows numbered 1 contain the numbers 1 to 10 and 91 to 100; the rows numbered 2 contain the numbers 11 to 20 and 81 to 90; the third rows contain all the numbers from 21 to 30 and from 71 to 80; the fourth rows contain the numbers 31 to 39 and 60 to 70, excluding 61, but including 41; in the fifth rows the numbers run from 42 to 59, and have also the numbers 40 and 61. Furthermore, note the lettered columns, and it will be seen that the unit figures in columns A are noughts and ones, in columns B twos and nines, in columns C threes and eights, in columns D fours and sevens, and in columns E fives and sixes.