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eumference, turn round in going 1 foot, or 12 inches? In going 3 feet, or 36 inches? In going 5 feet? 12 feet? How many times in going across the street, allowing it to be 3 rods, 3 yards, and 1 foot, or 660 inches?

13. What must be the circumference of a wheel that turns round twice in going 2 feet, or 24 inches? 14. How many shillings in 8 d. 4-6 d. + 10 d.? 15. How much does 19 s. 6 d. lack of 1£.? 16. How many pounds are 2 times 30 s.? 17. Divide 15 s. by 2.

18. Reduce to its lowest terms.

4+10 s.?

19. Reduce, Tz, too, foo, to their lowest terms. 20. What fraction can you use for 14, 16, 12, 3, ✩? 21. What part of a month is 1 day? A.. Is 2 days? 4. &=75. Is 5 days? A. %= f. Is 7 days? A. Jo

Is 9 days?

A.

18 8 days? A.
15 days? A. 18. Is 20 days? A. 38:
22. How much is of ? of? of of
23. How much is of ? of?

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24. How many times is 2 contained in? How much is of ?

25. How many times 2 in? (To divide a fraction, we multiply the denominator, or divide the numerator.) 2 in ? 3 in? 3 in 1? 4 in ?

26. How much is of of a month? of of a month? of a month divided by 2 is how much? How much is of 38 of a month?

27. James has of a dollar, Rufus, and Thomas the remainder of the dollar; what is Thomas's part?

28. William had of a ticket, Henry, and James & ; what part of a ticket did they all own? (Find how many 8ths each had first.)

29. What kind of fractions are the following, viz. 1, §, 51, 7, 28, of +?

30. Reduce to a decimal.

31. What decimal is equal to ? t? -? #?

32. James has 2 of a ticket, William 5, Thomas 2, and Harry the remainder; how much does IIarry have? 33. What is the amount of,3+,4+,1 ?

34. Multiply,6 by,5.

25. How much is,5 of,57

36. How much is ,3 multiplied by,,4?

37. Divide,24 by,6. 38. Divide,8 by`,2. 39. Divide,6 by,15. 40. From ,5 take,25.

41. of 14 is 2; 2, then, is ↓ of what number?

42.

of 4 is 2; 2, then, is of what number'

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6. 7 is

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A. 24333189117

of what number? A. 490.

7. 26 is of what number? A. 104.

8. 20£. 13 s. 4 d. + 100£. 15 s. 6 d. + 10 d. + 15 s. +1 s. 64 +d.+ 13 d.= A. 122£. 6 s. 4 d. 1 qr.

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9. From 12. 15 s. take 19 s. d.
10. Multiply 16 by . A. 103.
11. Divide 16 by . A. 24.
12. Multiply by 30. A. 25.
13. Divide by 30. A. 7.
14. Multiply of ‡ by 15. A. 5.

15. Divide of by 15. A. 0.

A. 15 s. 11 d. 1 qr.

16. A man bought 4 hogsheads of molasses: the first com tained 763 gallons; the second 634 gallons; the third 79₫ gallons, and the fourth 59 gallons. How many gallons in the whole? (Reduce the fractional parts to a common denominator before you proceed to add.) 1. 279. 17. 3700185+10%+6+37,5 +1008000: 18. What is the value of ,990625 of a pound?

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A. 3744,200005.

A. 19 s. 9 d. 3 qrs. 19. From 29 years, 5 mo. 3 days, take 23 hours 40 minutes A. 29 years, 5 mo. 2 days, 0 hours, 20 minutes

Note. When it is required to find the distance of time from one date to another, it may be easily done by subtracting the first date from the last reckoning the months according to their order in the year; thus, January i 1st mo., February 2d mo. ; &c.

20. What is the difference of time between March 27, 1827, and February 15, 1828?

(30)

(12) 1828, 2d mo. 15th day. 1827, 2d mo. 27th day.

Ans. 10 mo. 18 days.

In computing interest, we reckon 30 days to the month, and 12 months to the year.

21. What is the difference of time between April 14, 1827, and March 16, 1828? A. 11 mɔ. 2 days.

22. A note, dated July 1, 1826, was paid June 20, 1828, how long was the note on interest? A. 1 year, 11 mo. 19 days. 23. A note, dated Nov. 15, 1820, was not paid till Dec. 1. 1828; how long was it at interest? A. 8 years, 0 mo. 16 days,

INTEREST.

¶ LXI. Q. If the interest of 100 dollars for 1 year is Gedollars, what will be the interest of 200 for the same time? Of 300? Of 400? Of 600?

Q. What will be the interest of 100 for 2 years? For 4 years? For 10 years?

Q. What is that which is paid for the use of money called?
A. Interest.

Q. How, then, may it be defined ?

A. Interest is an allowance made by the bor rower to the lender for the use of money.

Q. What is that which is paid for the use of 100 for 1 year called? A. The rate per cent..

Q. Why called the rate per cent. ?

A. Because per cent., or per centum, means, by the 100.

Q. How, then, is interest computed?

A. At so many dollars for each 100 dollars, so many cents for each 100 cents, so many pounds for each 100 pounds, &c. for 1 year.

Q. How is a computed on a greater or less sum than 100, er «° Sanger or shorter time than 1 year?

A. In the same proportion.

Q. What is the meaning of per annum ?
A. Each year, or by the year.

Q. What, then, is the meaning of 6 per cent. per annum ? A. 6 dollars for the use of 100 dollars, 6 cente for 100 cents, &c., for 1 year.

Q. When the rate per cent. is established by law, what is the interest called?

4. The legal, or lawful interest.

Q. What is the legal interest in the New England States ? 4. 6 per cent.

Note-In the state of New York, it is 7 per cent.

Q. When there is no mention made of the rate per cent., what raie per cent. is understood?

A. The legal rate.

Q. What is the sum lent called?

A. The principal.

Q. When the interest and principal are both added together, whe it called?

A. The amount.

Since, at 6 per cent., the interest of 100 cents for 12 mo. is 6 cents, the in terest will always be as many cents as there are months; that is, the num ber of months will express in cents the interest of $1 for said months; thus, Die interest of $1 for 12 months being 6 cents, 8 mo. will be 4 cents, for 4 is of 8 mo. ; and in the same proportion for any length of time.

Now, as the interest of any sum over 1 dollar is proportionally more, as 5 dollars, for instance, the interest of which is 5 times as many cents as the in terest of $1, and as cents are 100ths of a dollar, it follows, that multiplying any denomination, as pounds, dollars, cents, &c., by the number of months, will give a product that will be the interest, either in cents or 100ths, which aro easily brought into dollars, or whole numbers, by cutting off two figures in the product, (that is, dividing by 100.)

Hence, to find the interest of any sum of dollars, pounds, shillings, cr eagles, for one year or more, we have the following

Q. How do you proceed?

RULE.

A. Multiply by half the number of months, and cut off two figures at the right, (for dividing by

· Mental Exercises.

A. 16 cts

A. 8 cta.

A. 6 cts.

1. What is the interest of $8 for 4 months? 2. What is the interest of $4 for 4 months? 3. What is the interest of $2 for 6 months? 4. What is the interest of $20 for 2 months? A. 20 cts. What is the interest of $80 for 10 months? A. $4,00. 6. What is the interest of $40 for 1 year, or 12 months? A. $2,40.

7. What is the interest of $8 for 1 yr. 4 mo.? A. 64 cts. 8. What is the interest of $5 for 1 yr. 6 mo.? A. 45 cts. 9. What is the interest of $1 for 4 years? A. 24 cts. 10. What is the interest of $8 for 2 mo.? A. 8 cts. What is the amount? A. $8,08.

11. What is the interest of $6 for 1 yr.? A. 36 cts. What is the amount? A. $6,36.

12. What is the interest of $1 for 4 years? A. 24 cents. What is the amount? A. $1,24.

13. What is the interest of 100£. for 2 months? A. 1£. What is the amount? A. 101£.

14. What is the interest of 10£. for 1 yr. 8 mo.? A. 1£. What is the amount? A. 11£.

15. What is the interest of $2,50 for 2 mo.? A. 2 cts. 5 m. What is the amount? A. $2,525.

16. What is the interest of $6,50 for 2 mo.? A. 63 cts. What is the amount? A. $6,561.

Exercises for the Slate.

1. What is the interest of $240,30 for 3 yrs. 4 mno.? 3 yrs. 4 mo. 40 mo.÷220, half the number of months.

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2. What is the interest of $400 for 2 yrs. 6 mo.? 3. What is the amount of $500 for 4 yrs. 1 mo.?

A. $CO.

A. $622,00. What is the interest of $75 for 2 yrs. 6 mo. ?-1152. Of $250.3750. Of $800?-120. Of $95?-1425. Of $650 19750. A. $280,50.

3. What is the interest of mo.?-45. For 10 mo. ?–75.

$1500 for 4 mo. ?-30. For For 1 yr. 2 mo.?-105. For

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