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17. Name two numbers whose sum is 35, and whose product is 34.

18. What can you add to nine that will take three from it?

19. Add two figures to nine so as to make it less than ten.

20. Fifteen prisoners in Naples were allowed to walk together in parties of three each, during seven days, but the same persons were not permitted to walk twice in each other's company. How did they arrange their parties?

21. 1. 2 3 4 5 6 7 8.9.

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Place the above figures in three rows containing three figures in each row, and in such manner that the sum of each row shall be fifteen, read in eight different ways.

22. If from six you take nine, and from nine you take ten,

(Ye wits, now this riddle explain !)
And if fifty from forty be taken, why then,
There will just half-a-dozen remain.

23. I am composed of four letters; if you multiply

my fourth by 2, it will give you my first; divide my first by 20, it will give you my third; divide my third by 50, it will give you my second; multiply my third by ten, it will give you my fourth. My whole is what all young ladies' tempers and gentlemen's beverages ought to be.

24. Tell us, illustrious Pythagoras, how many pupils frequent thy school? Answer.-" One-half study mathematics, one-fourth natural philosophy, one-seventh observe silence, and there are three females besides."

25. A snail tried to mount a wall twenty feet high; he climbed up five feet every day, but during the night he slipped down four feet. In how many days did he reach the top of the wall?

26. Given, A. B. C. to find Q.

27. To three parts of a cross add a circle complete, Let two semicircles a perpendicular meet; Next, add a triangle set up on two feet, And two semicircles in sequence quite neat, With a circle entire concluding the suite; And an herb you will have, loved by poor and by great.

28.

Uo ao but I o thee

O o no o but o o me;

Or else let my o thy o go;

And give back o o Io thee so! *

REPLY.

I do your o but o u not,
A o am I, and can't o your lot;
I send u a o and o your pain,
But a o your ou o in vain.

H. M.

29. A gentleman had an estate consisting of a square portion of land; he left to his eldest son onefourth square portion, directing that the remaining three-fourths should be divided among his four younger sons in equal and similar portions. How was the land marked out?

SIR F. THESIGER.

30. A ship sprang a leak twelve inches square, and the carpenter filled it up by dividing a piece of wood sixteen inches long, and nine inches broad, into two pieces. How was the wood to be cut?

31. Write a hundred with four nines.

32.

33.

From the above figure cut two portions which, on being placed against the remainder, will form a perfect square.

Join the above five pieces so as to form a Latin cross.

34.

Divide the above figures into four similar and equal parts.

35. If the fire-irons cost ten shillings, what should the coals come to ?

36. When do two and two not make four ?

37.

Twice nine of us are eight of us,

And two of us are three;

And three of us are five of us;

What, think you, can we be?
But if, with this, you're not content,
And still would seek for more,
Why, twelve of us are six of us,
And five of us are four!

38. In none there is one, in four there are five; in nine there are ten, and in six there are nine.

39.

An ornament with ease you'll find
From what is underneath subjoin'd,
Which greatly doth become the Fair
In every season of the year.

The name of the ornament is composed of three letters in the alphabet. The first letter's place is three times that of the second; the third is five times that of the first + 1; and the sum of all the three letters' places is twenty.

40. How can a man be his own Grandfather?

ANSWERS.

1.

ECAUSE no Porter need think small beer of himself.

2. Because he feeds on Commons and gets plucked.

3. Because he makes Pa, pay.

4. O! Lola!

5. Et tu Brute! (Ate two, Bruty).

Any body can catch cold.

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