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MISCELLANEOUS PROBLEMS.

460. The Articles in parentheses denote the portions of the text for which the problems may be used as supplementary exercises.

(Art. 73.)

1. Express by figures, fifty-nine thousand nine; seven thousand eighty; and fifty-one thousand one hundred three.

2. Write and read 134640; 60041; and 4602000.

3. What is the sum of two hundred fifty-two thousand six hundred six and one hundred seventy-two thousand nine hundred seventy-five?

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4. How many are 96004 964? 83334 9453?

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5. If you have 5675 dollars, and should spend 4987,

how much would you have left?

6. How many are 7806 + 760 + 9376 + 97 ?

7. How many are 95631

9972?

777 added to 66406+

8. A mill had 6750 barrels of flour. To A it sold 2173 barrels, and to B 978 barrels. How much then had it unsold?

9. How many are 152445 +707050 less 93987 ?

10. The coach was first made in England in the year 1564, which was 1083 years after iron shoes were first made for horses. In what year were the iron shoes first made?

11. How many are 1685 + 75 + 832 + 9675?

12. How many are 59 + 641 + 9 + 8086 + 93015? 13. How many are 19678-3789, less 10000 –

14. A man had 50000 dollars, and paid from it for a house 10550 dollars, for land 18075, and for goods 15787. How much money had he then left?

(Art. 117.)

1. How much will 15 horses cost at 225 dollars each? 2. Add 3605 to the product of 716 by 97.

3. Subtract 1148 from the product of 517 by 68.

4. A farmer bought 316 sheep at 3 dollars each, and sold 250 of them for 1000 dollars, and the remainder at a loss of a dollar each. How much did he make?

5. From 1840 × 18 take 2045 × 13.

6. How much is 13465 divided by 47?

7. A planter has 64575 gallons of molasses. How many casks of 63 gallons each will be required to hold it?

8. How many are 225 × 36, divided by 810÷15?

9. When 64 acres of land can be bought for 1600 dollars, how many acres can be bought for 3225 dollars? 10. If the multiplier is 47 and the product is 13113, what is the multiplicand?

11. If the divisor is 71 and the quotient 1002, what is the dividend?

12. The quotient is 1365, the divisor 63, and the remainder 14. What is the dividend?

13. What is the quotient of 13675 divided by 18? By 63? By 37?

14. What is the quotient of 67350 divided by 100? By 31? By 60?

15. Bought 224 barrels of flour for 1568 dollars, and sold the same for 2128 dollars. What was the gain on each barrel?

(Art. 238.)

1. Reduce 1411 to an improper fraction. 2. What is the value of 15? Of 514?

23

3. How many ones are there in 232? In 693? In W?

11

4. Change,, and each to twenty-fourths.

5. Arrange,, and in the order of their values. 6. John is 11ğ years old, and William 13. What is the sum of their ages?

7. A pole stands of its length in the mud, its length in the water, and the rest above water. much of its length is above water?

8. What is the difference between & and ?

9. What is the difference between 4 and 52?

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10. How much greater is the sum of 33 and 25 than their difference?

11. What is the difference between 18 and a fifth of fifteen-fifths?

12. At of a dollar a bushel, what will 84 bushels of potatoes cost?

13. If a boy can earn 4 dollars in a week, how much can he earn in of a week?

14. At 2 dollars a day, in how many days will a man earn 283 dollars?

15. How much is 4 of 44? 16. What number added to

of 112?
will give 118?

17. If 5 yards of cloth cost 17 dollars, what part of

a dollar is it a yard?

18. What fraction is equivalent to of 19. A man owning of a farm sells for 450 dollars. At this rate what is the whole farm?

of? of his share

value of the

20. A certain estate is worth 24000 dollars, and

of the value of the estate is of the value of the house upon it. What is the value of the house?

21. A farmer has 363 bushels of corn in a bin, which is just of all he raised. How much did he raise? 22. Divide 2 by the sum of 23 and , and to the quotient add 13 — §.

(Art. 334.)

1. How many dollars will 112 bushels of apples cost at 62 cents a bushel?

2. Bought 2 bushels of chestnuts at $3.50 per bushel, and sold them at 8 cents a pint. How much was gained by the transaction?

3. A man is 31 years old, allowing 365 days to a year. How many hours has he lived?

4. The distance between two places is exactly 15 miles. How many yards are they apart?

5. A lot of land containing exactly 47 square rods was sold at 2 cents a square foot. How much did it sell for?

6. How many acres are 4392 square rods?

7. How many hogsheads of vinegar of 63 gallons each, at 5 cents a quart, can be bought for $75.60? 8. When hay is $25 per ton, how much is it per dred-weight?

9. How many ounces are there in 5 tons?

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10. How many acres are 25090560 square inches? 11. How many pounds are 37440 troy grains? 12. How many chests of tea of 35 pounds each, at 45 cents a pound, can be bought for $63?

(Art. 372.)

1. How many minutes are there in 1 week 4 days 15 hours?

2. How much is the sum of 14 lb. 3 oz. 11 pwt.; 5 lb. 7 oz. 13 pwt., and 11 oz. 17 pwt. 13 gr.?

3. From 59° 42′ 15′′ take 11° 39' 47".

4. How many ounces are there in 13 cwt. 67 lb. 14 oz.?

5. How much must be paid for 183073 square yards of land at 50 cents a square rod?

6. A certain range of wood contains exactly 10 cords. If 2 loads, each containing 1 cord 3 cord feet, be taken from it, how much will be left? What will the remainder be worth at 75 cents per cord foot?

7. What is the quotient of 34 cd. 6 cd. ft. 4 cu. ft. divided by 4? Of 118 bu. 1 pk. 5 qt. 6?

8. What is the product of 10 reams 5 quires 13 sheets multiplied by 9? 13 A. 15 p. 3 sq. yd. × 10?

9. Three thieves carry off from a house 7 silver cups, each weighing 10 oz.; 1 dozen and 9 silver forks, each weighing 2 oz. 8 pwt.; and 13 silver spoons, each weighing 3 oz. Dividing the silver among the thieves, and giving to one of them a double share, how much Iwould each have?

10. What is the value of 1 mi. 25 rd. 2 yd. 2 ft.+ 5 mi. 150 rd. 3 yd. 2 ft.?

11. What is the value of 71 gal. 3 qt. 1 pt. 3 gi. × 8? Of 68 d. 18 h. 56 min.÷4?

12. A dray-load is found to weigh 1 ton 4 cwt. 15 lb., and it consists of 21 boxes. What is the weight of

each box?

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