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385. My house is insured for its value, or for $4000; what is it worth?

386. The cost of my buggy is the cost of my horse. The horse cost $360; what did the buggy cost?

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135. To find the whole when a fractional part is given, divide the part by the numerator of the fraction, and multiply the quotient by the denominator.

389. 1368 is of what number?

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392. What is

of a number if 273 is of it?

393. My income in 1881 was $1600, or

in 1880; what was the falling off?

394. 14 of 340 is of what number?

395. is of what number?

396. 7 is of what number?

of my income

397. Sold goods for $ 462, and thereby lost of the cost;

what was the cost?

could pay me only $3930, How much did he owe me ?

398. A man failing in business which was of what he owed me. 399. A has $2000, and B has once and as much. How much has B?

400. My house and furniture cost $10901, and the furniture cost as much as the house. How much did the house cost?

MISCELLANEOUS EXERCISES.

401. At $a yard, how many yards of cloth can be bought for $431?

402. If 2 pounds of butter cost $18, what is that a pound?

403. How many yards of cloth # of a yard wide will equal 12 yards of a yard wide?

404. If of a barrel of oatmeal is worth $5.60, what is a barrel worth?

405. What is the value of

} of 12 divided by of 83 ? Å 7호 406. What number must be multiplied by 73 that the product may be 20?

407. A can walk 31 miles in 60 minutes, and B can walk as fast as A. How long will it take B to walk the same distance?

408. If $1063 is shared equally among 8 men, how much will each man's share be?

409. If of $350 you should spend $125, what part of the money would remain ?

410. There is a board 19 feet in length, which I wish to saw into pieces 23 feet long. What will be the number of pieces, and how many feet will remain?

411. How much is coal a ton when 10 tons can be bought for $67?

412. What is the relative value of and †?

413. Reduce

4 of 54 × 8
28171

to its simplest form.

414. What number must 24 be multiplied by to give 4? 415. Find the value of of 14 × 4 divided by of 11 X 3.

416. Jones and Smith plowed for a certain sum of money; Jones plowed 6 acres, and Smith 93 acres.

Smith's money, if Jones's share is $ 20 ?

What should be

417. What number must be taken from 123, and the remainder multiplied by 10%, that the product shall be 50 ?

418. When $236 are paid for 11 acres, what will 201 acres cost?

419. In counting my money I found I had $969, which was just 2 times as much as my brother had. How many dollars had I more than my brother?

QUESTIONS.

99. What is a fraction? 100. What is the denominator of a fraction? 101. What is the numerator? 102. What are the terms of a fraction?

105. What is a proper fraction? 106. An improper fraction? 107. A mixed number?

108. How may a fraction be regarded? 109. What is the value of a fraction?

110. What is reduction of fractions? 112. How is a fraction reduced to larger terms? 113. When is a fraction reduced to its smallest terms? 114. What is a principle of fractions? 115. How is a fraction reduced to smallest terms?

116. How is an integer or mixed number reduced to an improper fraction? 117. How is an improper fraction reduced to an integer or mixed number?

118. When have fractions a common denominator? 120. What must be a common denominator of two or more fractions? 121. How are fractions reduced to their least common denominator?

122. What are like fractions? 123. What fractions only can be added? 124. How do you add fractions? 126. What fractions only can be subtracted? 127. How do you subtract one fraction from another?

128. How is a fraction multiplied? 129. How is a number multiplied by a fraction? 131. How is one fraction multiplied by another?

132. How is a fraction divided? 133. How is one fraction divided by another?

REVIEW.

ORAL EXERCISES.

136. 1. Name the only even prime number. 2. Show that 56 is a composite number.

3. What is the greatest factor common to 16 and 24 ? 4. What is the least common multiple of 3, 4, and 6? 5. Reduce 9 to fifths; 7 to eighths; 10, to elevenths. 6. Reduce to smallest terms 33; ; ; 108; 125. 7. A has worked of a day, and B of a day. of a day have both worked?

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What part

8. of a pole is in the water, in the mud, and the rest in the air. What part is in the air?

9. James is 18 years old, and his age is of the age of his father. How old is his father?

10. Damon sold a house lot for $30, which was of what it cost him. What was the cost of the lot?

11. Multiply by 6; 1 by 7; 5 by ; # by 2.

12. If a man can mow 1% acres of grass in a day, how much can he mow in 6 days?

13. If cloth is worth of a dollar a yard, what is § of a yard worth?

14. Divide by 3; 11 by 4; 8 by ; by 1; 21 by 3. 15. Bought 5 bushels of wheat for $73. What was it a

bushel?

16. How much is of 83; of 57; † of 74 ?

17. There is a pole standing so that of it is in the water, and as much in the mud. How much is in the mud?

18. If & of a bushel of grain will serve a horse a week, how many weeks will 63 bushels serve him?

19. If 13 tons of hay will keep a cow 8 weeks, how many cows will 10 tons keep for the same time?

20. What number is that, 21. The difference between

What is the number?

of which exceeds of it by 3?

and

of a number is 2.

22. If to William's age there is added of his age he will be 25 years old. What is his age?

23. A man bought a coat and a hat for $30. The hat cost as much as the coat. What was the cost of each ?

24. A and B made an even exchange of horses. By the trade A lost $40, which was of the value of the horse he had at first. What was the value of each horse?

25. Joseph spent of his money for clothes. He then paid away $63, which was just of all he had left. How many dollars had he at first ?

26. If 25 is of some number, what is of the same number?

27. A boy spent of his money, and then had given him as much as he had left. What part of his money did he then have?

28. What cost 12 apples at the rate of 7 for 5 cents?

29. If 6 men can do a piece of work in 4 days, in what time will 1 man do it? In what time will 5 men do it?

30. If you can travel 133 miles in 3 hours, how many miles can you travel in 8 hours?

31. If 5 men can cut 63 cords of wood in a day, how many cords can 7 men cut in the same time?

32. If A can do a piece of work in 7 days, and B in 5 days, what part of it can both do in a day by working together?

33. If A can build a wall in 3 days, which B can build in 4 days, in what time can they build it by working together?

WRITTEN EXERCISES.

34. Change 147 to smallest terms.

35. Find the product of the common prime factors of 1728 and 2880.

36. What number contains each of the prime factors of 243, 972, 576, but no others?

37. Show that is greater than and less than 4. 38. Find the sum of 38, 3,

3, and 1.

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