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to? What will 1 year come to? How long could you have him for 6 dols.? For 12? For 24? For 36? For 60? For 144? If work be a dollar a day, what would a year's wages come to? What would of a year? What? What

What

65

365 ?

? What 3

How many days are there in each month? A.

Thirty days hath September,
April, June, and November,
February hath twenty eight,

And thirty-one the others rate.

Tell me by the above; how many days there are in January? In February? In March? In April? In May? In June? In July? In August? In September? In October? In November? In December? Thus.-In January 31. &c.

How many days has February in Bissextile or Leap Year? A. 29.

When the year of our Lord can be divided by 4 without a remainder; what is the year called A. Bissextile, or Leap Year. What year was 1824? A. Bissextile.

Why? A. Because 1824 can be divided by 4 without a remainder.

When will the next Leap year be?

How many days are there in Bissextile or Leap Year? A. 366. NOTE. A Solar Year is almost 365 days, being 365 days, 5 hours, 48 minutes, and 57 seconds.

Circular Motion.

What is meant by Circular Motion? A. The motion of the heavenly bodies.

Repeat the Denominations of Circular Motion.

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30 Degrees,

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1 Sign,

S.

12 Signs or 360 Degrees, the whole Great Cir

cle of the Zodiac.

How many seeonds are in 3 minutes? In 6? In 10?

How many minutes are in 2 degrees? In 5? In 6? In 7? In9? How many degrees in 2 signs? In 3? In 4? In 6?

How many degrees does the sun travel over in one day, or 24 hours? A. 360.

How many degrees does the sun pass over in one day, not reckoning the night; when the days and nights are of an equal length?

How many degrees in one hour? A. 15.

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Why? A. Because the sun travels over the circumference

of the earth in 24 hours, he must travel over 15 degrees in one hour, for 15 times 24 are 360.

How many degrees in 2 hours? In 4? In6? In 10? In 20 ? What is the difference of time then, between London (through which the meridian runs, and from which longitude is generally computed) and 15 degres east of London? A. One hour.

Why? A. Because the sun travels 15 degrees in one hour. What is the difference of time between London, and 30 degrees west of London? What 60 degrees? What 75 degrees? The difference in distance between Washington in the District of Columbia, and Missouriopolis in Missouri is 15 degrees, what is the difference of time between those places ?

Tables of Particulars.

How many single things make a dozen? A. 12.

How many dozen a gross ?

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A. 12.

A. 144.

How many dozen a great gross ?

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A. 20.

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A. 5.

How many single things a score?

How many score a hundred?

How many sheets make a quire of paper? A. 24.
How many quires make a ream?

A. 20.

How many single things are in 2 dozen? In 3? In 5? In 12? What will 2 dozen of pearl buttons come to, at 2 cts. apiece ? What 3 doz? What 4?

What will a great gross of buttons come to, at $1 a dozen? What will 2 quires of paper come to, if you give 1 ct. for a sheet? What will 3 quires? What will 4 quires

If you give 20 cents for 1 quire of paper, how many cents must you pay for 1 ream? For 2 reams?

How many pounds in a barrel of Pork? A. 200.

How many pounds in a barrel of Beef? A. 200.

What will a barrel of pork come to, at 4 cts. a pound?

What will 2 barrels of beef come to, at 4 cts. a pound?

Books.

When a sheet is folded into 2 leaves; what is it called? A. Folio. When folded into 4 leaves; what is it called? A. Quarto or 4to. When folded into 8 leaves; what is it called? A. Octavo or 8vo. When folded into 12 leaves; what is it called? A. Duodecimo or 12mo.

When folded into 18 leaves, what is it called? A. 18mo.

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How many farthings are there in 2 pence? In 3? In 4? In 6? In 8? In 10? In 12? In 20?

How many pence are there in 2 shillings? In 3? In 5? In 7? How many shillings are there in 2 pounds? In 3? In 6 ? If 1 pair of gloves is worth 8 pence; how many pence are 2. pair worth? 3 pair? 4 pair? 5 pair? 6 pair? 10 pair?

When a bushel of wheat cost 10 shilings, what will 2 bushels cost? What will4? What will 6? What will 9? What will 12? If Virgil cost 1 pound, how many shillings will buy 2? How many 3? How many 4? How many 5? How many 9? How many 12?

How many farthings will buy 2 inkstands, if they cost a penny apiece? How many will buy 3? How many will buy 4 ?

NOTE.-The characters used for English money are £. for Libra, the Latin for pounds; s. for Solidi, the Latin for shillings; d. for Denarii, the Latin for pence; and qrs. for quadrantes, the Latin for farthings.

A Pound Sterling is equal to $4,444 cts. Federal Money.

An English Guinea,

An English Shilling,

4,662 cts.
243 cts.

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$1 Fed Mon. is equal to 4s. 6d. Sterling.

Questions on Reduction and the Rule.

The object of the following examples is not merely to enable the pupil to bring numbers from one denomination to another, but to show for what purpose they are so brought.

At 20 cts. a quart, what will 2 gallons of rum cost? What will 4 gallons? 5 gallons?

At $60 a hogshead; what will 2 pipes of wine come to? What will 4? What will 6 ?

How many minutes in 2 hours? In 4? In 6?

How many weeks in 14 days? In 21? In 49 ?

What are such questions as these in? A. Reduction.

What then is the changing numbers from one denomination to another called? A. Reduction.

In 2 bushels of corn; how many pecks?

Are 8 pecks of corn as much as 2 bushels?

Is the value altered then?

Do you multiply or divide, to find how many furlongs there are in 2 miles?

What is this called, then?

A, Reduction Descending.

Do you multiply or divide, to find bow many gallons there are in 8 quarts?

What is this called then? A. Reduction Ascending.

From the above; how many kinds of Reduction do there appear to be? What are they?

How would you multiply and divide on the slate? A. As I have done already in my mind in performing questions on the tables, and such questions as have just been asked me.

What do you multiply 2 furlongs by, to bring them into rods? As a general rule then; what do you multiply furlongs by? A. By what makes a furlong.

What do you multiply days, bushels, &c. by? A. Bushels by what makes a bushel, days by what makes a day, &c.

What do you divide by, to bring 8 gills into pints?

As a general rule then, what must you divide gills, minutes, quarters, &c. by? A. Gills by gills, minutes by minutes, quarters by quarters, &c.

Why divide thus? A. Because 4 gills are equal to one pint, 60 minutes to one hour, &c.

What do you multiply pounds (money) by ? A. Shillings.
What do you multiply shillings by? A. Pence.

What do you multiply days by? A. Hours.

What do you multiply by, to bring 25 pounds into farthings? A. By 20, 12, and 4.

How do you bring 1 cwt. into tons ? 1 cwt. into drams? 1 ton into drams? Drams into tons? Drams into cwts.? 1 lb. into grains? grains into pounds? Ells Flemish into nails? Nails into ells Flemish? Quarters into ells English? Ells English into quarters? 5 bushels into pints? 200 pints into bushels? 360 degrees into inches? Feet into furlongs? 5 weeks into seconds? Seconds into weeks? Years into Seconds? Seconds into years? How do you tell what 1 tun of wine will cost at 6 cts. a gill?

Exercises for the Slate.

At 6 cts. a pound, what will 2 qrs. 8 lb. of sugar come to?

qrs. lb.

2=8

28 lbs.

56 lbs. 8 lbs.

64 lbs.

6 cts.

384 cts. Ans.

Why do you multiply the 2 qrs. by 28 lbs. ? A. Because I must multiply quarters by what makes a quarter, (i. e.) by 28 lbs.

What do you do with the 8 pounds? A. I add it to the 56 lbs.

Why do you multiply by 6 cts. ? A. Because every pound of sugar cost 6 cts. (i.e.) 6 times the pounds.

In 64 lbs. how many quarters ?

lbs. lbs.

28)64(2 qr. 56

8lb.

Ans. 2 qrs. 81b.

Why do you divide 64 lbs. by 28 lbs.? A. Because pounds must be divided by pounds, gills by gills, &c.

At 5 cents a gill; what will 8 pints of rum cost? A. $1,60.

How many gills in 20 pints? In 30? In 40? A. Total 360.

How many pints in 80 gills? In 120? In 160? A. Total, 90. A merchant sold 5 hhds. of brandy at 3 dols. a gallon ; how much did it amount to? A. $945.

How many hhds. in 126 gallons? In 630? In 945? A. Total, 27. At 6 cts. a quart; what will 1 hhd. of molasses come to? $15,12. How many quarts are there in 3 hhds. ? In 6? In 20? In 100 ? A. Total, 32500.

How many hogsheads are there in 756 qts.? In 1512 qts.? In 252 qts.? A. Total, 10.

Sold 1 T. of wine at 5 cts. a gill; what did I get for it? A. $403,20 cts.

How many gills in 2 T.? In 5? In 10? A. Total, 137088.

At 8 cts. a pound, what will 3 cwt, 2 qrs. of raisins cost? A., $31,36.

How many pounds in 15 cwt. 1 qr. A. 1708.

At 8d. a peck, how many pence will 3 bu. of salt cost? A. 96. How many pence are there in 20 shillings? In 60? In 200? A. Total, 3360.

How many pence in £5? In 20? In 10? A. Total, 8400. How many pounds in 480 d.? In 960 d.? In 1440 d.? A.Total, 12. How many farthings in £4? In £5? In £7? In £8? A. To.. tal, 23040.

At 6d. per lb.; what will 2 qrs. of rice cost? A. 336 d.

How many qrs. of rice, at 6d. per lb. may be bought for 336d. A. 2 qrs.

At 6 cts. a gill; what will one tun of wine cost? A. $433,84. How many tuns of wine, at 6 cts. a gill, may be bought for $483,84? A. 1.

At 9d. per quart, what will 16 gals. 2 qts. of molasses come to in pence? A. 594d.

How many gallons of molasses at 9d. per quart may be bouglit for 594d. A. 16 gals. 2 qts.

What is the value of a silver cup weighing 10 oz. 5 pwt. 18 gr. at five mills per grain? A. $24,69.

At 5 mills per grain; what will be the weight of a silver cup that $24,69 cts. will purchase? A. 10 oz. 5 pwt. 18 gr.

At 12 cts. a pound, what cost 5 cwt. 2 qrs. 18 lb. of sugar? A. $76,08 cts.

How many hundred weight of sugar, at 12 cts. per lb. may be bought for $76,08? A. 5 cwt. 2 qrs. 18 lb.

At 9d. an hour; what will 2 yrs. 6 mo. 3 weeks, 6 da. 12 h. la. bour come to in pence? A. 187380.

How many years work at 9d. per hour may be obtained for 187380 d.? A. 2 yrs. 6 mo. 3 weeks, 6 da. 12 h.

At 20 cts. a nail; what is the price of 4 yds of cloth? A. $12,80c. At 320 cts. a yard; what will 64 nails of cloth cost? A. $12,80c. At £1,2s. 6d. per yard; what will 20 yds. of broadcloth cost in farthings? A. 21620.

At 6 cts. a pint; what will 20 bu. O pks. 3 qts. 1 pt. of flax seed cost? A. $77,22

How many shillings at 2 farthings a gill will 5 T. 1p. 1hhd. 2 gal. 2 qt. 1 pt. 3 gil. cost? A. £1935, 7 d. 2 qrs.

At 2 shillings a quarter; how many dollars will 8 yds. 1 qr, of broad cloth cost? A. 11.

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