14. (10-1.25) × 0.2+0.02 x 2.8+ (80.3 x 0.1-5.3) × 10

24. 2.01 (.2.02.8÷10) + 36.48÷8 (4÷.05

-2.61.25)=

25. 72.210-2÷(.5 ÷ 1.60) + 2.125 ÷ (1.75.5) =

EXERCISE III.

1. What number subtracted 88 times from 80,005 will leave 13 as a remainder?

2. If-7 men can build a wall in 16 days, how many men will it take to build a wall three times as long in half the time?

3. How many minutes are there between 25 minutes past 8 in the morning and midnight?

4. The velocity of sound being 1090 feet per second, at

what distance is a gun fired the report of which I

hear 11 seconds after seeing the flash? (5280 feet make a mile.)

5. How long would it take to travel 30.2375 miles at the rate of 8.85 miles per hour?

6. The circumference of a circle being 3.1416 times the diameter, find the circumference of a circle whose diameter is 6.8 feet; also, find the diameter of a circle whose circumference is 20 inches.

7. How much wire will be required to make a hoop 30 inches in diameter, allowing 2 inches for the joining? 8. How many times would such a hoop turn in going half a mile?

9. Cork, whose weight is .24 of that of water, weighs 15 pounds per cubic foot. What is the weight of 6

cubic feet of oak, the weight of oak being .934 of that of water?

10. From what number can 847 be subtracted 307 times, and leave a remainder of 49 ?

11. What is the 235th part of 141,235 ?

12. What will 343 barrels of flour cost, at $6.37 a barrel ? 13. 12 make a dozen, and 12 dozen make a gross. How many steel pens in 28 gross? What will a gross of eggs cost, at 27 cents a dozen ?

14. How much must be added to $4429 in order to make the sum 43 x $241 ?

15. What number deducted from the 26th part of 2262 will leave the 87th part of the same number?

16. At an ordinary rate, 123 words a minute, how long will it take a man to deliver a speech of 15 pages, each of 28 lines, and each line containing 11 words? How long would it have taken Daniel Webster to deliver the same speech, at the rate of 93 words a minute?

17. How long would it take a railway train to go from New York to San Francisco, 3310 miles, at the rate of 1973 feet a minute?

18. How long will it take to count a million, at the rate of 67 a minute?

19. If you put into a box 17 cents a day, including Sundays, beginning January 1 and ending July 4, how much money will there be in the box?

20. If a man's income is $3000 a year, and his daily expenses average $7.68, what does he save in a year?

21. In a question of division the quotient was 87.83, the divisor, 759. What was the dividend?

22. It is 3.1416 times as far round a wheel as across it. How many times will a wheel 4.5 feet across turn round in going 23 miles of 5280 feet each?

23. How many gallons of 231 cubic inches are contained in a cubic foot (1728 cubic inches)? in a bushel of 2150.42 cubic inches? How many cubic feet in a bushel? How many bushels in 31.5 gallons?

24. Seven children had left to them $7186 apiece; one died, and his share was divided among the surviving six. How much had each then?

25. What is the nearest number to 7196 that will contain

372 without a remainder?

26. How long will it take 2 men to do what 1 man can do in 6 days? what 4 men can do in 3 days? what 3 men can do in 4 days?

27. Divide $1.80 among Thomas, Richard, and Henry in such a way that Henry shall receive 3 cents for every 5 cents that Thomas gets, and Richard shall receive 2 cents for every 3 cents that Henry gets. 28. Divide $87.84 between B and C so that C shall get $19 as often as B gets $17.

29. Three partners received for goods: one, $371.63; the second, $285.40; the third, $411.91. They paid for the goods $879.34, and divided the balance equally among them. How much did each receive?

30. At 12 inches in a foot, how many inches long is a wall 35 feet in length? A brick and its share of mortar being 8.4 inches long, how many bricks in length is the wall?

31. A brick and mortar being 2.4 inches in height, how many bricks are required to build the wall 12 feet high, if the wall be two bricks wide.

32. What is the total weight of the wall, if a brick and its share of the mortar weigh 4.13 pounds? What is

the weight after a long rain, when the weight is increased to 4.27 pounds for each brick?

33. How many pounds does each foot in length of the wall weigh?

34. If 60.98 cubic inches of brick weigh 4 pounds, how many cubic inches of brick weigh 1 pound? How

many pounds would a cubic foot (1728 cubic inches) weigh?

35. If a cubic foot of water weigh 62.5 pounds, how many times as heavy as water is brick?

36. Light moves through the air at 186,500 miles in a second. How many times can it go around the earth

in a second, the distance round the earth being 24,897.714 miles?

37. Light moves through the air at 300,190 kilometers in a second. How many times can it go around the

earth in a second, the distance round the earth being 40,007.5 kilometers?

38. A minute is 60 seconds. How many miles and how nany kilometers can light travel through air in a

minute?

39. An hour is 60 minutes. How many miles and how many kilometers can light travel in an hour?

40. The distance round the earth, given in Ex. 37, is measured on a north and south line. Around the equator the distance is 40,075.45 kilometers. How many

times could light move round the equator in one

minute?

41. Find the reciprocal of the difference between 31.24 and 31.23768.

42. The Hanoverian mile is 25,400 Hanoverian feet long, each foot being .9542 of an English foot. Find to four places of decimals the fraction that an English mile of 5280 English feet is of a Hanoverian mile.

43. Express in inches the length of a meter, given that a meter is one ten-millionth of a quarter of the earth's circumference, that the circumference is 3.14159 times the diameter, that the diameter is 7911.7 miles, and that a mile is 5280 × 12 inches.

44. How must a number be altered to double its reciprocal? 45. What effect is produced on the sum of two numbers, if each number is increased by the same number? What effect on the difference?

46. What effect is produced on the product of two numbers, if both numbers are multiplied by the same number? What effect on the quotient?

47. What effect is produced on the remainder, if both divisor and dividend are multiplied by the same

number? If both are divided by the same number? 48. In going from one planet to another light probably moves faster than in air. Suppose it moves at

309,800 kilometers a second, how long would it

take light to perform each of the following journeys:

49. A kilometer is about .6214 of a mile. How many miles

is each of the planets from the sun?