Chapter II: Front Matter (2)

In this instance 534 is multiplied by 342. Draw a square of nine cells with diagonals, fill the three top cells, as is shown, by multiplying the 5 by the 3, the 4 and the 2. Then multiply in similar way the 3 and the 4 by these same figures. Turn the square round so that the diagonals are upright, and add. Of course, placing the numbers thus is the same practically as carrying them by our ordinary rule.

No. LXVI

In this diagram 27 counters are arranged in 9 rows, with 6 in each row.

*
╱ ╲
╱ ╲
╱ ╲
* *
╱ ╲ ╱ ╲
╱ ╲ ╱ ╲
╱ ╲ ╱ ╲
╱ * ╲
╱ ╱ ╲ ╲
╱ ╱ ╲ ╲
╱ ╱ ╲ ╲
*───────*───────*───────*───────*───────*
╲ ╱ ╱ ╲ ╲ ╱
╲ ╱ ╱ ╲ ╲ ╱
╲ ╱ ╱ ╲ ╲ ╱
* ╱ ╲ *
╱ ╲ ╱ ╲ ╱ ╲
╱ ╲ ╱ ╲ ╱ ╲
╱ ╲ ╱ ╲ ╱ ╲
╱ * * ╲
╱ ╱ ╲ ╱ ╲ ╲
╱ ╱ ╲ ╱ ╲ ╲
╱ ╱ ╲ ╱ ╲ ╲
*───────*───────*───────────────*───────*───────*
╱ ╱ ╲ ╱ ╲ ╲
╱ ╱ ╲ ╱ ╲ ╲
╱ ╱ ╲ ╱ ╲ ╲
*───────*───────────────*───────*───────────────*───────*
╲ ╱
╲ ╱
╲ ╱
*

Can you rearrange them so that with similar conditions they all fall within the borders of one equilateral triangle?

51. A BURIED ADAGE

The bees’ blithe vernal love-songs softly hum,
Blending so sweetly with the restful air;
The noiseless, deep-laced twilight shadows come,
And well I ken the lass who meets me there.

Can you discover a very familiar saying that is buried in these lines?

No. LXVII.--AN EIGHT-CARD PUZZLE

Place eight cards of two different colours alternately in one row, then with four moves bring all of one colour together.

┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐
│ A │ │ 2 │ │ 3 │ │ 4 │ │ 5 │ │ 6 │ │ 7 │ │ 8 │
│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │
│ ♠ │ │ ♡ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♡ │
└───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘

Two cards (without altering their relative position) are to be moved at a time, and placed somewhere in the same line, one of them at least touching another card.

52. MUTILATIONS

A little beast without its head
Becomes a mighty beast instead;
But then the subject of my riddle
Is cut asunder in the middle;
And nothing this division gains,
Though unknown quantity remains.

53. MISSING WORDS

Mary sat with ..... in hand
Writing ..... dramatic.
Did she ..... the plots she planned?
Negative emphatic!
..... to us the ..... may be
But at ..... they’re new to she!

The missing words are spelt with the same five letters.

No. LXVIII.--THOUGHT READING

Cut out this diagram, and paste it on a card. Hand it to anyone, and ask him to fix upon whichever number he pleases, and merely to tell you in which columns this appears.

╔════════════════════════════════════════════════════════════════════╗
║┌───────────────┐┌───────────────┐┌───────────────┐┌───────────────┐║
║│ I. ││ II. ││ III. ││ IV. │║
║│ ││ ││ ││ │║
║│ 1 33 65 97││ 2 34 66 98││ 4 36 68 100││ 8 40 72 104│║
║│ 3 35 67 99││ 3 35 67 99││ 5 37 69 101││ 9 41 73 105│║
║│ 5 37 69 101││ 6 38 70 102││ 6 38 70 102││ 10 42 74 106│║
║│ 7 39 71 103││ 7 39 71 103││ 7 39 71 103││ 11 43 75 107│║
║│ 9 41 73 105││ 10 42 74 106││ 12 44 76 108││ 12 44 76 108│║
║│ 11 43 75 107││ 11 43 75 107││ 13 45 77 109││ 13 45 77 109│║
║│ 13 45 77 109││ 14 46 78 110││ 14 46 78 110││ 14 46 78 110│║
║│ 15 47 79 111││ 15 47 79 111││ 15 47 79 111││ 15 47 79 111│║
║│ 17 49 81 113││ 18 50 82 114││ 20 52 84 116││ 24 56 88 120│║
║│ 19 51 83 115││ 19 51 83 115││ 21 53 85 117││ 25 57 89 121│║
║│ 21 53 85 117││ 22 54 86 118││ 22 54 86 118││ 26 58 90 122│║
║│ 23 55 87 119││ 23 55 87 119││ 23 55 87 119││ 27 59 91 123│║
║│ 25 57 89 121││ 26 58 90 122││ 28 60 92 124││ 28 60 92 124│║
║│ 27 59 91 123││ 27 59 91 123││ 29 61 93 125││ 29 61 93 125│║
║│ 29 61 93 125││ 30 62 94 126││ 30 62 94 126││ 30 62 94 126│║
║│ 31 63 95 127││ 31 63 95 127││ 31 63 95 127││ 31 63 95 127│║
║└───────────────┘└───────────────┘└───────────────┘└───────────────┘║
║ ┌───────────────┐┌───────────────┐┌───────────────┐ ║
║ │ V. ││ VI. ││ VII. │ ║
║ │ ││ ││ │ ║
║ │ 16 48 80 112││ 32 48 96 112││ 64 80 96 112│ ║
║ │ 17 49 81 113││ 33 49 97 113││ 65 81 97 113│ ║
║ │ 18 50 82 114││ 34 50 98 114││ 66 82 98 114│ ║
║ │ 19 51 83 115││ 35 51 99 115││ 67 83 99 115│ ║
║ │ 20 52 84 116││ 36 52 100 116││ 68 84 100 116│ ║
║ │ 21 53 85 117││ 37 53 101 117││ 69 85 101 117│ ║
║ │ 22 54 86 118││ 38 54 102 118││ 70 86 102 118│ ║
║ │ 23 55 87 119││ 39 55 103 119││ 71 87 103 119│ ║
║ │ 24 56 88 120││ 40 56 104 120││ 72 88 104 120│ ║
║ │ 25 57 89 121││ 41 57 105 121││ 73 89 105 121│ ║
║ │ 26 58 90 122││ 42 58 106 122││ 74 90 106 122│ ║
║ │ 27 59 91 123││ 43 59 107 123││ 75 91 107 123│ ║
║ │ 28 60 92 124││ 44 60 108 124││ 76 92 108 124│ ║
║ │ 29 61 93 125││ 45 61 109 125││ 77 93 109 125│ ║
║ │ 30 62 94 126││ 46 62 110 126││ 78 94 110 126│ ║
║ │ 31 63 95 127││ 47 63 111 127││ 79 95 111 127│ ║
║ └───────────────┘└───────────────┘└───────────────┘ ║
╚════════════════════════════════════════════════════════════════════╝

You can then in a moment, and at a glance, pick out the number that is chosen.

No. LXIX.--FROM PILLAR TO POST

Let us suppose that these black dots represent a succession of pillar boxes. It will be seen that a postman, starting from the circle, and going along the dotted lines, turns round 18 corners.

●┅┅┅● ●┅┅┅● ●┅┅┅●┅┅┅●┅┅┅●
┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ●┅┅┅● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ○ ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ●┅┅┅● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇
● ● ●┅┅┅●┅┅┅● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇
● ●┅┅┅●┅┅┅●┅┅┅● ● ● ●
┇ ┇ ┇ ┇
●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅● ●┅┅┅●

Can he take a course which involves fewer turnings?

No. LXX.--TRANSFORMATIONS

Here is an ingenious paper and scissors puzzle:--

Divide a square card into three pieces, so that these can be reunited to form No. 2 or No. 3 of this diagram.

54. COUNTING THE GEESE

(_From an old Sanscrit source, quoted by Longfellow in his “Kavanagh.”_)

Ten times the square root of a flock of geese, seeing the clouds collect, flew to the Manus lake. One-eighth of the whole flew from the edge of the water among a tangle of water lilies, and three couples were seen playing in the water. Tell me, my young girl with beautiful locks, what was the whole number of geese?

55. A THIRD IS A HALF

Six hundred and sixty so ordered may be
That if you divide the whole number by three
You find the result will exactly express
The half of six hundred and sixty, no less.

No. LXXI.--A PUZZLE WITH CHESS PIECES

┏━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┓
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │###│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │#♚#│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃###│ │###│ │###│ │###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃ │###│ │###│ │###│ │###┃
┠───┼───┼───┼───┼───┼───┼───┼───┨
┃#♖#│ │###│ │###│ │#♘#│#♖#┃
┗━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┛

Leaving the Black King in his position, place the three white men so that he stands checkmated.

56. PRESS PARODIES

An American paper published the following:--

There was a young damsel, oh, bless her!
It cost very little to dress her;
She was sweet as a rose
In her everyday clothes,
But had no young man to caress her.

Next day this parody appeared in a rival paper:--

There was a young ......, oh, bless her!
It cost very little to dress her;
Some ........... and .....
About Thanksgiving time,
And they ... the last bit from the ....... .

Can you fill in the missing words?

No. LXXII.--HEXAGONAL ILLUSIONS

If we look with one eye only, or with eyes half-closed, at these groups of circular dots, they assume the appearance familiar to us in honeycomb. This is an effect of the contrast and opposition of the black and white in the sensation of the retina.

Although the black and the white circles are of the same diameter the irradiation is in their case so intense that the white circles appear to be larger than the black.

No. LXXIII.--AN ILLUSION OF ARCHES

This excellent illusion appeared in a recent number of the “Strand Magazine”:--

Most persons will at first see the passages under these arches as running upwards from left to right, but presently, as their line of vision shifts, the arches will take a downward course from right to left. This very curious effect will well repay a little patience, if it is not realised at once.

57. WHERE WAS THE WEDDING?

She loses her head when she joins the brides,
He joins them after tea;
But both are swept by ruthless tides
Away on the western sea.

58. ON A BANANA BARROW

I have 91 bananas on my barrow, of two qualities; some I sell at four a penny, and the better sort at three a penny. If I had sold them in mixed lots at seven for twopence, I should have made a penny more. How many were there of each quality?

No. LXXIV.--IN THE TRAIN

The Puzzle Problem--

A passenger in a first-class railway carriage notices that the top of
a factory window due S.W. of him coincides with a mark on the carriage
window, and does not move from it while the train is running five and
a half miles.

At the end of that distance the compass bearing of the chimney is due
N.W. How far was the passenger from the chimney when he first noticed
it?

is solved by 3¹⁄₂ miles.

We give a diagram to make the points clear.

As the chimney top does not move from its place on the window, it is clear that the train is running on a segment of a circle having the chimney for its centre. It follows that the observer’s distance throughout is equal to the radius of that circle, and the radius of a circle of which the quadrant measures 5¹⁄₂ miles is 3¹⁄₂ miles within about 11 ft.

No. LXXV.--MENDING THE FLAG

The cross had been taken out from the centre of this flag, and its owner, who had an ingenious turn of mind, found that by cutting what remained into two pieces, and rejoining them, he could make it into a perfect flag without any waste of material.

How did he accomplish this?

No. LXXVI.--FOR THE CHILDREN

Add two more pieces similar in shape and size to that marked A, and one similar to B, C, and D respectively, and then readjust the eleven parts so that they form a perfect square.

59. MISSING WORDS

How does the sluggard’s garden grow?
When ..... are high results are low.
His borders ..... and bindweed spoil,
No careful culture ..... the soil;
But weeds that ..... are all alive
Where ..... pink or rose should thrive.

The missing words are spelt with the same letters.

No. LXXVII.--AN EASY MATCH PUZZLE

This is a simple arrangement of eight matches, by which two squares and four similar triangles are formed.

60. WHAT AM I?

Correctly drawn results I yield.
Varied, but welcome everywhere;
But met with in the open field
I’m banned if frequent, blest if rare.
To this peculiar difference the clue
Is called with much significance the cue.

61. BURIED TOWNS

Wait while I think the matter over,
On holiday intent;
The best I’ve seen is surely Dover,
That pretty port of Kent.

Three towns are buried in these lines.

No. LXXVIII.--WALKING THE ROUNDS

A hospital was built in six detached blocks, and it was the duty of the night watchman to go completely round every block at fixed hours to see that all was safe.

What was his shortest course?

62. THE ARAB AND HIS ASS

An Arab came to the river side
With a donkey bearing an obelisk,
But he did not venture to ford the tide,
For he had too good an *.

So he camped all night by that river side,
Secure till the tide had ceased to swell,
For he knew that whenever the donkey died
No other could be its ‖.

No. LXXIX

Can you rearrange the twelve counters on this board of 36 squares so that there are two counters on each row, column, and diagonal?

╔═══╤═══╤═══╤═══╤═══╤═══╗
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ ◎ │ ◎ │ ◎ │ ◎ │ ◎ │ ◎ ║
╟───┼───┼───┼───┼───┼───╢
║ ◎ │ ◎ │ ◎ │ ◎ │ ◎ │ ◎ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ │ │ │ ║
╚═══╧═══╧═══╧═══╧═══╧═══╝

There must not be more than these two counters in the same straight line.

63. A CHARADE

What ho, my jolly _second!_ never say my _first_
While my final you can find in Amsterdam.
Think how a sound _whole_ stays your hunger and your thirst,
Deftly readjusting bread and meat and jam.

No. LXXX.--THE QUEEN’S TOUR

This is a course by which the queen on a chessboard, starting from K R sq., passes over every square in fourteen moves.

64. AFTER THE MATCH

“Did you score a score?” said Funniman to his schoolboy nephew, after a local cricket match. “No, uncle,” said the youngster, “but if I had made as many more runs, half as many more, and two runs and a half, I should have made my twenty.” How many runs did he get?

No. LXXXI.--A NEST OF TRIANGLES

In the “Twentieth Century Standard Puzzle Book” we gave a figure similar to this, in which there were 653 interlacing triangles in four tiers of this character.

We now add a fifth tier at the base, and ask our solvers to determine how many triangles of all shapes and sizes can be counted within its enlarged borders.

65. AN ENIGMA

Six letters spell the happy state
Of two in love made one.
The same six letters tell the fate
Of marriage ties undone.

No. LXXXII.--A SIMPLE MATCH PUZZLE

Place eight matches in a row, about an inch apart, as indicated in the diagram.

║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║
║ ║ ║ ║ ║ ║ ║ ║

The puzzle is to form these into four pairs in four moves, by moving one match clear over two matches every time.

66. A TOPICAL RIDDLE

My First’s a bond, my Seconds weigh;
These own the Rest of all my lay;
Busy my Third; Fourth like the Pole,
Whose opposite my Fifth makes goal.

67. MISSING WORDS

For two months at the .... we played,
Ere we were .... to Lord’s;
Alas! the score our champion made
Was what a .... affords!
The crowd in .... of thousands came
But took scant notice of the game.

No. LXXXIII.--A MATCH PUZZLE

Place twelve matches, as is shown in the diagram, so that they form four squares.

══════ ══════
║ ║ ║
║ ║ ║
║ ║ ║
═══════ ══════
║ ║ ║
║ ║ ║
║ ║ ║
══════ ══════

Now remove three of the matches, and readjust the nine that remain so that they represent three squares.

68. MARCONIGRAMS

Edwin and Angelina were far apart, when this message, with its touch of jealous resentment, reached her on the wings of a Marconigram--

“No fickle girl is bonnie to my mind!”

Quite equal to the occasion, she flashed back the reply--

“In love inconstant I no pleasure find!”

How did these messages reveal the places from which they were despatched?

No. LXXXIV.--MATHEMATICS WITH MATCHES

In the four corner and four central cells of this nest of squares four matches are so placed as to represent ¹⁄₂, 1, 4, ¹⁄₅₀, 11, 12, 41, and 49.

│ ╲ ╱ │
│ ╳ │ = 1
│ ╱ ╲ │

│ │ │ │
│ │ │ │ = 4
│ │ │ │

│ │
│ │
│ │
─── = 11
│
│
│

╲ ╱ │ │
╳ │ │ = 12
╱ ╲ │ │

╱│ │
─+─ │ = 41
│ │

│ │
│ ─── │ = 49
│___ │

Can you, still using only four matches in each case, fit different whole numbers or fractions in similar fashion into the other 28 cells?

69. EASY MENTAL ARITHMETIC

Set down three figures in a line,
Then multiply by four;
This, if you use the proper sign,
Makes five and nothing more.

No. LXXXV.--MANY READINGS

Can you complete the top and bottom rows, the two side columns, and the two diagonals of this square by forming in each of them the same sentence so that it can be read in twenty different directions?

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ R | I | | | | | V | | | | | I | R ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ I | I | | | | | | | | | | I | I ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ V | | | | | | V | | | | | | V ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ | | | | | | | | | | | | ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ I | | | | | | | | | | | I | I ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ I | | | | | | V | | | | | I | R ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

There are four words in the sentence of thirteen letters.

No. LXXXVI.--TOLD AT A GLANCE

Ask anyone to fix upon a number between 1 and 60 inclusive, and to point out to you the square or squares in which it appears:--

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗
║ 3│ 5│ 7│ 9│ 11│ 1║ ║ 9│ 10│ 11│ 12│ 13│ 8║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 13│ 15│ 17│ 19│ 21│ 23║ ║ 14│ 15│ 24│ 25│ 26│ 27║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 25│ 27│ 29│ 31│ 33│ 35║ ║ 28│ 29│ 30│ 31│ 40│ 41║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 37│ 39│ 41│ 43│ 45│ 47║ ║ 42│ 43│ 44│ 45│ 46│ 47║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 49│ 51│ 53│ 55│ 57│ 59║ ║ 56│ 57│ 58│ 59│ 60│ 13║
╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗
║ 17│ 18│ 19│ 20│ 21│ 16║ ║ 5│ 6│ 7│ 13│ 12│ 4║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 22│ 23│ 24│ 25│ 26│ 27║ ║ 14│ 15│ 20│ 21│ 22│ 23║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 28│ 29│ 30│ 31│ 48│ 49║ ║ 28│ 29│ 30│ 31│ 36│ 37║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 50│ 51│ 52│ 53│ 54│ 55║ ║ 52│ 38│ 39│ 44│ 45│ 46║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 56│ 57│ 58│ 59│ 30│ 60║ ║ 47│ 53│ 54│ 55│ 60│ 13║
╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

╔═══╤═══╤═══╤═══╤═══╤═══╗ ╔═══╤═══╤═══╤═══╤═══╤═══╗
║ 3│ 6│ 7│ 10│ 11│ 2║ ║ 33│ 34│ 35│ 36│ 37│ 32║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 14│ 15│ 18│ 19│ 22│ 23║ ║ 38│ 39│ 40│ 41│ 42│ 43║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 26│ 27│ 30│ 31│ 34│ 35║ ║ 44│ 45│ 46│ 47│ 48│ 49║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 38│ 39│ 42│ 43│ 46│ 47║ ║ 50│ 51│ 52│ 53│ 54│ 55║
╟───┼───┼───┼───┼───┼───╢ ╟───┼───┼───┼───┼───┼───╢
║ 50│ 51│ 54│ 55│ 58│ 59║ ║ 56│ 57│ 58│ 59│ 60│ 41║
╚═══╧═══╧═══╧═══╧═══╧═══╝ ╚═══╧═══╧═══╧═══╧═══╧═══╝

You can find the number at a glance, by simply adding together the numbers in _the right-hand top corner cells_ of the square indicated. Thus, if 45 has been chosen, 32 + 8 + 4 + 1 = 45.

No. LXXXVII.

Here is a little subtraction sum, which is not quite so simple as it appears to be:--

╔═══════════════════════════════════════════════╗
║miles furlongs rods yards feet inches║
║ 1 „ 0 „ 0 „ 0 „ 0 „ 0 ║
║ 7 „ 39 „ 5 „ 1 „ 5 ║
║ ─────────────────────────────────────────── ║
║ ║
║ ═══════════════════════════════════════════ ║
║ ║
╚═══════════════════════════════════════════════╝

Try it as it stands, without reducing the distance to inches.

70. A DOUBLET BY MISSING WORDS

Can you, by supplying the missing words, turn a grilse into a salmon? One letter is changed each time, and, except in one case, the order of the letters varies:--

To silver Tweed, or broader Spey,
The _grilse_ of ......, ...... gay,
Glides on; the ...... ...... draws
When _salmon_ follows Nature’s laws.

71. AN ENIGMA

I never move, and yet I run
From place to place all day;
Some loving swain, hot foot for fun,
Sees Dora in my way.

No. LXXXVIII.--RANGING THE DIGITS

These are the arrangements of the nine digits, by which they add up alike in rows, columns, and diagonals in a square; on all sides in a triangle; and from top to bottom and from side to side in a cross:--

╔═══════════════════════════════════════════╗
║ ┌───┬───┬───┐ ┌───────────┐ ┌───────────┐ ║
║ │ 8 │ 1 │ 6 │ │ 5 │ │ 5 │ ║
║ ├───┼───┼───┤ │ 3 7 │ │ 4 │ ║
║ │ 3 │ 5 │ 7 │ │ 4 6 │ │ 3 6 9 7 2 │ ║
║ ├───┼───┼───┤ │ 8 1 9 2 │ │ 8 │ ║
║ │ 4 │ 9 │ 2 │ │ │ │ 1 │ ║
║ └───┴───┴───┘ └───────────┘ └───────────┘ ║
╚═══════════════════════════════════════════╝

The totals are 15, 20, and 27 respectively.

72. WHAT IS THIS WORD?

HAATTCEUMSSSS

73. MULTUM IN PARVO

Seven words in one of letters five we fix,
Five English, and one Latin;
No need to twist them, or afresh to mix,
If puzzles you are pat in.

74. THE GENTLE CRAFT

The question was asked in a puzzle competition--“Why is every angler ipso facto an Ananias?” Although no such method was asked for or expected, we find that the very letters of the question can be recast into a most apposite reply. Our answer by anagram runs thus--

A liar, .. ..... gay fancies to a ..... ....

Can you complete the sentence by filling in the missing words?

No. LXXXIX.--NO TWO IN A ROW

On a board of sixty-seven squares, arranged as is shown in the diagram, place nine counters, so that no two are in the same row, column, or diagonal.

┏━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┓
┃###| |###| |###| |###| |###┃
┠───┼───┼───┼───┼───┼───┼───┼───┼───┨
┃ |###| |###| |###| |###| ┃
┗━━━╅───┼───┼───┼───┼───┼───┼───╆━━━┛
┃ |###| |###| |###| ┃
┠───┼───┼───┼───┼───┼───┼───┨
┃###| |###| |###| |###┃
┗━━━╅───┼───┼───┼───┼───╆━━━┛
┃###| |###| |###┃
┏━━━╃───┼───┼───┼───┼───╄━━━┓
┃###| |###| |###| |###┃
┠───┼───┼───┼───┼───┼───┼───┨
┃ |###| |###| |###| ┃
┠───┼───┼───┼───┼───┼───┼───┨
┃###| |###| |###| |###┃
┏━━━╃───┼───┼───┼───┼───┼───┼───╄━━━┓
┃###| |###| |###| |###| |###┃
┗━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┛

The indentations do not affect the simple conditions.

75. A QUAINT RIDDLE

Peter White
Will never go right;
Shall I tell you the reason why?
Wherever he goes,
He follows his nose;
And that stands all awry!
If this appendage had slanted more
Why would it serve a hole to bore?

No. XC.--EXACT ALIGNMENT

Can you arrange these nine cards so that they form ten rows with three cards in each row?

┌───┐
│ A │
│ │
│ ♣ │
└───┘

┌───┐ ┌───┐ ┌───┐
│ A │ │ 1 │ │ A │
│ │ │ 0 │ │ │
│ ♢ │ │ ♡ │ │ ♠ │
└───┘ └───┘ └───┘

┌───┐ ┌───┐ ┌───┐ ┌───┐
│ Q │ │ K │ │ K │ │ J │
│ │ │ │ │ │ │ │
│ ♠ │ │ ♣ │ │ ♢ │ │ ♢ │
└───┘ └───┘ └───┘ └───┘

┌───┐
│ K │
│ │
│ ♡ │
└───┘

This may, of course, be done with any nine cards.

76. A MISSING LETTER

Thieaonunhinemileuchtormapa
Aitutoaeucceorlo;
Pringweetnetillpoeemoygra,
Aummertreemaofthadeacro.

Separate these strings of letters into words that scan and rhyme, adding the same missing letter in 55 places.

No. XCI.--AT A FANCY BALL

Two ladies and their squires, here represented by the White Knights and the Black, were dressed to impersonate Light, Liberty, Love, and Learning, and took their places on the corners of a pavement chequered to represent a chessboard, as is shown below:--

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ ♘ │###│ │###│ │###│ │#♞#║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ │###│ │###│ │###│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │###│ │###│ │###│ │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ │###│ │###│ │###│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │###│ │###│ │###│ │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ │###│ │###│ │###│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │###│ │###│ │###│ │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║#♞#│ │###│ │###│ │###│ ♘ ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

They undertook to step a figure which should exhibit at each pause a revolving square, and in three paces bring them together in the centre, by a course traced upon the lines of their combined monograms. What were their successive steps?

No. XCII.--PROVERBIAL PHILOSOPHY IN CELLS

Can you disentangle all this good advice?

╔════════╤════════╤════════╤════════╤════════╤════════╗
║ │ │ │ │ │ he ║
║ tell │you know│ tells │ knows │ tells │ should ║
║ │ │ │ │ │ not ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ you │ │ thinks │ │ is ║
║ do │ think │ does │ of │ does │ not ║
║ │ of │ │ │ │ good ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ believe│you hear│believes│ hears │believes│is false║
║ │ │ │ │ │ ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ spend │you have│ spends │ has │ spends │he needs║
║ │ │ │ │ │ ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ is ║
║ judge │ you see│ judges │ sees │ judges │ not ║
║ │ │ │ │ │ there ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ never │ all │ he who │ all he │ often │ what ║
║ │ │ │ │ │ ║
╚════════╧════════╧════════╧════════╧════════╧════════╝

It forms 5 excellent maxims in its 36 cells.

77. THRICE DOCKED

Protected, open, plain,
Without my tail I’m flat;
I’m round curtailed again;
Again, you have me pat.

No. XCIII.--A DISLOCATED CIRCLE

Study this quaint figure carefully, and try to discover how it can be divided into two pieces, so that these can be reunited to form a perfect circle.

78. A LOGOGRIPH

When all are gay this holds the sway,
But take a letter out,
That change of fare is ruling there,
You see, without a doubt.
Behead me twice; it is not nice
To have this in your skin;
Lop head and tail, and find a nail
Or tack to drive it in.
Behind his right, and in your sight
A little word you find;
But you will never make it out,
Though it is in your mind.

No. XCIV.

When Tommy was offered all the money by his uncle if he could place 15 half-crowns and 15 pennies in such order in a circle that, counting always by nines, and starting at a fixed point, he came always upon a penny, and removed it from the circle, he found the key to success in this Latin line, given to him by a school friend, who shared the spoil--“Populeam virgam mater regina ferebat.” The vowels, from a to u, are numbered from 1 to 5, and when they are thus marked in the sentence--

“Populeam virgam mater regina ferebat,”
4 5 21 3 1 1 2 2 3 1 2 2 1

they show the necessary sequence of half-crowns and pennies.

Start counting with the half-crown marked _a_, and remove each penny as you come to it on counting up to nine, and the conditions are fulfilled.

No. XCV.--A BUSINESS ANAGRAM

This smart advertisement of a polish known as “Old Dutch Cleanser” appeared in an American paper:--

Cleans
Scrubs
Scours
Polishes

Old Dutch Cleanser]

If the eyes of the proprietor should fall upon this column, he will be surprised to find that his catch words _Cleans_, _Scrubs_, _Scours_, _Polishes_, can be recast into a perfect anagram, singularly appropriate to the powder advertised.

The opening words of the anagram are “O rub on, sir.”--Can our solvers complete the sentence?

No. XCVI.--A NEW CHESS PUZZLE

By Henry E. Dudeney.

Replace all these 51 pieces on the chessboard, so that no Queen attacks another Queen, no Rook another Rook, no Bishop another Bishop, and no Knight another Knight.

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ Q │#Q#│ Q │#Q#│ Q │#Q#│ Q │#Q#║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ B │#B#│ B │#B#│ B │#B#│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │#B#│ │###│ │###│ B │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ B │#B#│ B │#B#│ B │#B#│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ R │#R#│ R │#R#│ R │#R#│ R │#R#║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ N │#N#│ N │#N#│ N │###│ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ N │#N#│ N │#N#│ N │#N#│ N │#N#║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║#N#│ N │#N#│ N │#N#│ N │#N#│ N ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

No account is to be taken of the intervening pieces, but each type of piece is to be considered as if it stood alone upon the board.

No. XCVII.--A GOOD KNIGHT’S TOUR

Here is a beautifully symmetrical specimen of the Knight’s tour:--

No. XCVIII.--A KNIGHT’S TOUR

Here is another beautifully symmetrical Knight’s tour:--

It starts from the corner square, and the second half of the course has dotted lines.

79. MISSING WORDS

He ...... himself much on his skill,
In many a burglary tried;
But when he ...... open the till
There was only a ...... inside.

The missing words are spelt with the same six letters.

No. XCIX.--A KNIGHT’S TOUR

Here is quite a curious pattern described by another Knight’s tour:--

80. AN ENIGMA

Three-fourths of me an act display,
Three-fourths a bed for man;
Three-fourths have legs that cannot stray,
Three-fourths have legs that can.
I have a back without a spine;
An arm without a bone is mine.

81. A CHARADE

My first is the French for my second,
My whole a narcotic is reckoned.

No. C.--A GOOD PATTERN

Here is a very symmetrical Knight’s tour, in which half of the moves are indicated by dotted, and half by unbroken lines:--

82. PALINDROME WORDS

The letters of this sentence “Arrive to vote at it,” can be so recast as to form two palindrome words, or words that read alike from either end. What are they?

No. CI.--A KNIGHT’S TOUR

Here is another specimen of the Knight’s tour, which is beautifully symmetrical--

Half of the course is marked with dotted lines.

83. AN ENIGMA

Sweet till I lose my head,
Sweet-hearted then I show;
Decapitate again, I spread,
And cannot be below.
Served so once more, I am not dead,
But with fresh beauty glow.

No. CII.--A KNIGHT’S POETIC TOUR

On the board below a verse of eight lines runs on the course of a Knight’s move from square to square:--

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗
║ │ │ │ │ │ │ │ ║
║ sor │ to │ king │ good │ say │ luck │ loy │ eth ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ and │ moth │ a │ soon │ dis │ our │ to │ bad ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ place│ ry │church│ his │ force│ is │ hat │ al ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ er │ queen│ him │ wight│ he │ to │ may │ truth║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ man │ his │ and │ and │ chess│ es │knight│ op’s ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ a │ sneer│ the │ and │ un │ lawn │ of │ tates║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ cas │ that │ at │ less │ pawn │ no │ bish │ lant ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ │ │ │ │ │ │ │ ║
║ eth │ faith│ tles │ hath │ the │ gal │ in │ love ║
╚══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╝

Can you disentangle the little poem?

84. TOMMY’S MONEY BOX

“Dad,” said little Tommy, “give me as much as I have in my purse, and I will put a shilling in my money-box.” This was done, and the process was repeated for three more days. How much had Tommy originally in his purse, which was now quite empty?

No. CIII.--THE MANX RABBITS

This is the way to draw three rabbits so that they have but three ears among them all:--

85. AN ENIGMA

Two articles of English make,
And three from foreign source.
All these together you must take
Where dramas run their course.

No. CIV.--SCORING A CENTURY

On this table is shown in ten different ways how exactly 100 can be arrived at by the use of the nine digits, each appearing only once.

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗
║ 1 │ 2 │ 3 │ 4 │ 5 │ 6 │ 7 │ 8 │ 9 ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 1 │ 1 │ 4 │ 95³⁄₇│ 56 │ 98 │ 6 │ 15 │ 15 ║
║ 3 │ 45 │ 53 │4¹⁶⁄₂₈│ 34 │ 1 │ 2 │ 2 │ 36 ║
║ 5 │ 7 │ 6 │ │ 7 │ ³⁄₆ │ -- │ 79 │ 47 ║
║ 8 │ 9 │ 8 │ │ 1 │ ²⁷⁄₅₄│ 8 │ ⁸⁄₄ │ -- ║
║ 9 │ -- │ -- │ │ -- │ │ 9 │ ⁶⁄₃ │ 98 ║
║ -- │ 62 │ 71 │ │ 98 │ │ 1 │ │ 2 ║
║ 26 │ 38 │ 29 │ │ 2 │ │ 3 │ │ ║
║ 74 │ │ │ │ │ │ 4 │ │ ║
║ │ │ │ │ │ │ 75 │ │ ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 │ 100 ║
╠══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╣
║9 × 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 100. ║
╚══════════════════════════════════════════════════════════════╝

86. IF WE COULD CHOOSE

“If it were possible, I should choose,” said young Hopeful, “a life double as long.”

“Yes,” said old Sobersides, “and you might turn it to better account if it was also begun old.”

How did their actual words bear this out?

No. CV.--SEEING THROUGH A VEIL

On a piece of clear tracing paper draw with pen and ink a close network of lines, such as is shown in this diagram, near enough together to conceal type of ordinary size.

Place this on the page of a book, and challenge any one to read a sentence, or even a word, through it, saying that you can do so easily. How can you succeed?

87. A CHARADE

Lop head and tail, and you will find
I have both tail and head.
Or if for spirits you’ve a mind
Set my tail first instead.

Life, as “a vapour full of woes,”
With many a darker page,
My whole in picture will disclose,
For “all the world’s a stage!”

No. CVI.--THE PAPER RINGS

In the diagram a strip of paper is shown (1), with its ends simply gummed together; (2), with a single twist; and (3), with a double twist. Can you decide, without actual experiment, what will be the result in each case if these are cut completely round, as is indicated by the dotted lines?

88. MISSING WORDS

A glowing ........ window, graced
With ........ that true art has traced.

89. ANSWER BY ANAGRAM

How do the actual letters of these words in their union prove that anæsthetics are “blessed in pain?”

No. CVII.--THE MAGIC BUTTONS

Make two parallel cuts with a penknife along the centre of a slip of leather or other material, and below them a hole of the same width. Pass a piece of string under the slit, and through the hole, and tie two buttons, each much larger than the hole, to the ends of the string.

How can the string be released without removing either of the buttons?

No. CVIII.--THE CAPTIVE SCISSORS

Fasten a pair of scissors securely with a piece of string to some convenient article, as is shown in this diagram:--

Can you release them without cutting or unfastening the string?

90. A BURIED QUOTATION

“What sin was it, sonny?” said an American negress to her lover, when she sat on his best hat, which was flattened. Wearily he heard her musical laugh, and arose to go. His hobby was botany, but not hers, for she was then a merry girl. “Bother the flowers! I would prefer this mellow pine-apple, Leonidas,” she said; “I guess we Ethiopians just love fruit!”

No. CIX.--A PRIMITIVE TRAP

This diagram represents in the simplest outline a primitive wolf-trap.

The dotted line is a gate opening into a circular enclosure. How was the trap set and the wolf caught?

91. LADIES AT A SALE

They .... the dress with grip so keen
That half the .... gives way;
And home return with purses lean
To .... of “bargain-day!”

What are the missing words?

No. CX.--A SPINNING NEEDLE

To balance a needle on the head of a pin, push the pin into the cork of a wine bottle, and the needle into a separate cork.

With the aid of three forks, as is shown in the picture, the needle may be balanced and spun round on the head of the pin.

92. MISSING WORDS

Air--“_Three fishers went sailing_.”

Three ...... went sailing out into the west,
Out into the west as the sun sank low;
Each thought as they ...... of the lad she loved best,
For they all had ......, and each had a beau.
But seas will rise, and spirits will sink,
And they all were too ill of ...... to think,
So these ...... ...... back moaning.

Each missing word has the same six letters.

No. CXI.--AFTER DINNER

This diagram shows how, as an after-dinner trick, four similar wineglasses can be placed on the table

so that the centres of the lowest parts of their stems are equidistant from each other.

93. A CHARADE

Lurking in riddles oft my first is found;
My second should in ample stores abound,
Or help to make the sweetest songster heard.
Peculiar, and quite proper, is my third.
My whole has found with England’s monarch grace,
The verdant home of many a goodly race.

No. CXII.--SECOND SIGHT

Ask any one, with this diagram to work upon, to think of any number between 5 and 15, and, while your back is turned, to count up to it, beginning at the lowest step, and saying one, two, three, four, and so on, as each step of cards or single card is reached in the direction indicated by the arrow. When the number thought of has been thus arrived at, tell him to stop, and beginning afresh on that card, to count one, two, three, etc., _backwards_, this time _skipping over the double six_ and the 3 steps until he again reaches the number thought of, and notices which card he has touched last.

How can you, without having seen any of his movements, at once find that card?

No. CXIII.--AN AFTER DINNER TRICK

Cut a wedge out of an apple, as is indicated in the diagram, and make six gashes as is shown.

When this has been done, challenge anyone to divide the apple into six pieces by only two straight cuts, so that there shall be one of the gashes in each piece.

94. ALIKE TO THE EYE

Accent my head,
An opening I appear
In other fashions said
I charm all far and near.

No. CXIV.--A TOY BOOMERANG

Cut out in cardboard a boomerang as nearly as possible of the size and pattern given here:--

Place it flat on the back of the first three fingers of the left hand, sloping them upward; then flick it smartly with the second finger of the right hand. It will fly off and return to your lap. Try it.

95. LONDON BY ANAGRAM

Here are two simple sentences:--

A lamp shines out for thee.
Win me best by tears.

Can you recast the letters, so that they form the names of two of the most important buildings in London?

96. HEARD ON THE BRIGHTON BEACH

It was low tide; two children were throwing pebbles into the sea, and sending their excited collie in pursuit of them. The Puzzle Editor, who was on holiday, quickened perhaps by the salt air, bethought him of this appropriate riddle:--What is the difference between that dog and a hungry man?

No. CXV.--IN THE GRIP OF A RADISH

Cut a radish in half, press the lower surface firmly against a plate, as is shown in the diagram:--

and you can lift the plate, to which it clings as closely as a boy’s wet leather disc to the pavement.

97. FIND THE ANIMAL

A part of me in rain,
A part in hail must be,
A part belongs to pain,
A part in bones we see,
A part in gleaming gold,
A part in common copper.
A part in peace behold,
A part in any topper;
Two parts are heard in sound,
And in our finals found.

No. CXVI.--ELASTIC PAPER

The countryman who cut one hole in his door for the cat and another for the kitten would find it difficult to pass a penny through a hole the size of a shilling cut in a stout piece of paper.

This diagram shows how easily it can be done:--

Fold the paper across the centre of the hole, place the penny in the fold, and bend the lower corners of the paper upwards. This elongates the opening, and the coin falls through.

98. A SMART ENIGMA

Men commonly say I am clever,
Book-learning I never could boast;
Yet I turn the leaves inside the cover,
And when I am found I am lost.

99. MISSING WORDS

.... is like a ..... or what is most
Comparative, a ..... is like a . ...;
For when their substances in liquor sink
Both properly are said to be in drink.

One of the letters of the two short words is used twice in the longer word.

No. CXVII.--THE NIMBLE SIXPENCE

Place a sixpence on the tablecloth, and over it set a tumbler, as is shown in the picture below.

How can you pocket the sixpence without removing the glass, or having it removed?

100. A PIED PROVERB

~abdeefiinnnoopprrrsssttuw~

101. SELF-DEFINED

A wordy warfare waged with wit,
In youth its joys none need descry;
But where our elders take to it
Its name points loss of dignity.

No. CXVIII.--HOW TO DRAW A SPIRAL

How can you draw such a spiral as this with very simple appliances?

This spiral is drawn rapidly without removing the pencil from the paper.

102. FIND THE HERO

My first’s in garb, but not in dress;
My next’s in praise, but not in bliss;
My third’s in man, but not in miss;
My fourth’s in we.

My fifth’s in boar, but not in hog;
My sixth’s in cat, but not in dog;
My next’s in calm, but not in fog;
My eighth’s in we.

My ninth’s in rope, but not in twine;
My tenth’s in light, but not in shine;
My next’s in four, but not in nine;
My twelfth’s in we.

No. CXIX.--FOR HANDY FINGERS

Take a piece of stout paper or thin cardboard, about 10 in. by 8 in., and cut it as is shown below, removing the parts that are shaded in the diagram.

If you hold this between a plain wall, or other surface, and a strong light, you will, with a little practice, be able to cast a shadow similar to one or other of these Madonna heads, which will vary in intensity and expression with the positions of the paper and the light.

No. CXX.--THE FOUR KINGS

This excellent and easy little card trick will commend itself for fireside use in the long evenings.

Take the four Kings from a pack, and two other cards. Hold the Kings thus, in the form of a fan--

hiding the two other cards behind the King of Diamonds.

After showing them, place the six cards at the bottom of the pack. Now move the lowest card to the top, and the two next cards to any part of the pack, apparently leaving but one King at the bottom. Ask some one to cut the pack, and all the Kings will be found together. Some appropriate patter will help the effect.

103. PROVERB BY ANAGRAM

Can you recast this sentence--

A defeat whose test is very sure--

so that the same letters form an appropriate proverb?

No. CXXI.--DOMINO SQUARE

Its cells add up in columns and rows to 22, and those of the corner squares add up to 10 and 12 respectively.

┌───┬───┬───┬───┬───┬───┬───┐
│ 6 │ 2 2 │ 0 6 │ 5 1 │
├ ┼───┼───┼───┼───┼───┼───┤
│ 1 │ 5 │ 4 │ │ 3 │ 3 │ 6 │
├───┼ ┼ ┤ ├ ┼ ┼ ┤
│ 3 │ 3 │ 4 │ │ 3 │ 4 │ 5 │
├ ┼───┴───┘ └───┴───┼───┤
│ 0 │ │ 0 │
├───┼───┬───┐ ┌───┬───┼ ┤
│ 2 4 │ 6 │ │ 5 4 │ 1 │
├───┼───┼ ┤ ├───┼───┼───┤
│ 4 │ 2 │ 6 │ │ 2 5 │ 3 │
├ ┼ ┼───┼───┼───┼───┼ ┤
│ 6 │ 6 │ 0 0 │ 3 1 │ 6 │
└───┴───┴───┴───┴───┴───┴───┘

104. PHONETIC MISSING WORDS

’Tis ..... that no one takes a .....
To .... a .... of ....s;
A .... may often take a ....
To .... away the ....s.

No. CXXII.--THE TALKING HEAD

This, though quite an old illusion, may be a mystery to some of our readers, so we give it a place among our many curiosities.

The table is placed on the middle of a platform, well away from the background, and the head, which is very much alive, is prepared to answer questions, or to whistle, or to sing, at the will of the audience. “How it is done” will be explained.

105. A QUEER OBSTACLE

I’m in everyone’s way,
Yet no one I stop.
My four horns each day
Horizontally play,
And my head is nailed on at the top.

No. CXXIII.--A GENERAL OF THE LIGHT BRIGADE

With a little ingenuity, and by slightly warming the wax, and shredding the matches for some effects, all sorts of comical figures can be contrived, similar in character to this dignified general on his high-stepping charger.

106. AN OLD ENIGMA

(By a former Fellow of Trinity College, Dublin.)

Take five from five, and then
Put fifty in the middle;
Twice ten times five times ten
Will finish off my riddle,
And bring it to your ken
As fit as any fiddle!

No. CXXIV.--ANOTHER BOOMERANG

Cut out in cardboard a cross similar to that shown in this diagram:--

Place one of its limbs under the thumbnail of the left hand, and give the next projecting limb a sharp flick with the middle finger of the right hand. The little boomerang will fly sharply forward, and invariably return rapidly on its tracks. Try it.

107. PHONETIC GAPS

Can you fill these gaps with words of similar sound?

No ..... will ..... before the wind
A ..... will ... before it;
We cannot .... the ...., or find
That earthly powers ..... o’er it.

The gaps in line 1 take words that sound alike; so do those in line 2; and so do the other three in lines 3 and 4.

No. CXXV.--A PICTURE CHARADE

Can you fill in the missing words so as to complete this picture charade?

My first may .... candle ...,
My second then ..... ..;
My whole in ..... moves .....
....... an oar or ...

108. SOUND SENSE

We seem to sound a note of lavish bounty;
Reverse us, and we indicate a county.

109. A CRYPTOGRAM

~FTHNMLKBRNGSLLCTTN~
~LLSKMTMXTTLLTSTHN!~

Can you so deal with this as to form a rhyming couplet?

No. CXXVI.--WALNUTS AND COBS

_A good after dinner trick_

Place four walnuts and four cobnuts in a row, as indicated on the diagram.

Now, moving always two that stand together, transfer them to some other positions along the line, and in four such moves leave them so that the large and small nuts range alternately. It may, of course, be done with large and small coins, or with other things that are at hand.

110. A BURIED PROVERB

Yet I see them all! on golden wings that fly
Old memories steal anew;
With a tear, with a sigh, with an old, old cry
They return in ghostly hue!

111. DOUBLETS

Here is another exercise in Doublets, from Lewis Carroll’s book on the subject:--

Turn ELM into OAK by seven links, introducing the name of another tree as one of them.

No. CXXVII.--A PICTURE RIDDLE

Can you read in this picture the question of our riddle?

112. TWO POSERS

1.

My dear Mr Bird,
We are giving a ball;
First second we third,
Pray give us your all.

2.

Second, I did my first and last,
Till I became my whole;
And told the tale of my repast,
A sad and greedy soul.

No. CXXVIII.--BUY A BROOM

Here is an excellent example of how a characteristic figure may be contrived by shredding, warming, and uniting a few wax matches:--

Many similar figures can be made by handy fingers.

113. A CHARADE

My whole, industrious, wends his way
His daily task to meet;
Behead, transpose, and lo! a sound
Of music soft and sweet;
Behead again, I make my way
With swiftness past belief;
Again, and where the fields are gay
My bounty brings relief.

No. CXXIX.--JEU DE PARQUET

(_For the children_)

An old book, published more than 100 years ago, gives the following samples of patterns which may be formed with very simple materials:--

All that is needed for this pastime is a set of 128 coloured triangles, 64 of each colour, with which an endless variety of patterns can be arranged by the exercise of taste and ingenuity.

114. LINES BY AN OLD OXBRIDGE DON

’Tis an absurdity to say
Women should try for a B.A.
To College honours forward looking;
They’d best confine themselves to cooking!

How could a Girton girl retort, using the same words?

115. LESS AND MORE

Eight letters (start with b)
Three syllables contain;
Take one away, and see
Four syllables remain!

116. BURIED BEASTS

Can you dig out nineteen beasts that are buried in these lines?--

Ireland’s lot heals slowly. Troubles came long ago--at times in battalions--to attack and harass her. Ambitious democrats now countermine famous enthusiasts nearly akin to heroes. Anarchy enables cowards to sow hot terror and all amazement.

117. PALINDROMIC VERSE

Can you recast the following sentences so that their words form a verse of four lines, which makes good sense, with lines that rhyme alternately, when read from either end?:--

Fading slowly day dies, mournful winds sigh, Stars are waking brightly; owlet holding high revel flies hooting, breaking nightly silence.

118. AN ANAGRAM IN THE MAKING

“The Observatory at Greenwich, in England,” has been turned into an excellent anagram, which starts--_On landing here begin_--Can you complete it?

119. AN ENIGMA

No man at all am I
And, if you turn me round,
To hear my warning cry
Not any men are found.

120. ASK A SAILOR

How can our sailors fare the best
When times are harder?
How do they greet with merry jest
An empty larder?

121. AN ENIGMA

I lose my head when I am here,
Transpose me I am three;
Look in a book, you find me there,
And with me her and he.

122. MISSING WORDS

Jack did ....... that he could square
The circle to a .......;
His friends ....... that a brain so rare
Required attention ........

The missing words are spelt with the same seven letters.

123. A HUMAN PRODIGY