71. If the numbers in line 1 a, b, c represent respectively square miles, acres, and square rods, how many square rods do they equal? Acres and fraction? Square miles and fraction?

72-80. Solve each other line as in No. 71.

81-90. If each number in a represents grams, how many pounds does each equal?

91-100. If each number in a represents meters, how many inches does each equal? How many yards?

101-110. If each number in a represents yards, how many meters does each equal?

111-120. If each number in a represents pounds, how many grams does each equal?

1. If a man buys 373 lbs. of seed corn at $2 a bushel, and plants 4 qts. to the acre, how many acres can be planted with this seed, and how much will it cost to the acre?

2. A dairyman producing 80 gals. of milk delivers of it in pint bottles, of it in quart bottles.

How many

bottles of each size are needed for one delivery?

3. Two bushels of peaches are preserved and kept in quart cans. Allowing for shrinkage, how many cans are needed?

4. A barrel of vinegar is sold, half in pints, half in quarts. How many of each are sold?

5. Twenty bushels of garden peas are sold in quart boxes. How many boxes are required?

6. In building a fence 80 rds. long, 4 boards high, with boards 16 ft. long and posts 8 ft. apart, using 2 nails at every point where a board is nailed to a post, how many pounds of tenpenny nails will be needed, allowing 69 nails to the pound?

7. Wind with a velocity of 1 mile an hour (barely observable) exerts a pressure of .005 lb. to the square foot. What is the pressure of such a wind on a tight board fence 1 rd. long, 5 ft. high?

8. With a velocity of 8 miles (a pressure is .32 lb. to the square foot.

pleasant wind) the What is the press

ure on the fence mentioned in the last problem?

9. With a velocity of 80 mis. an hour (a hurricane)

the pressure is 32 lbs. to the square foot.

pressure on the fence of problem 7?

What is the

10. If each tea bush yields 3 ozs. of tea each year, how many bushes will be required to yield 18 lbs.?

11. If a pound of tea will make 400 cups, how many tea plants will be needed to furnish 1 cup each day for a year for each member of a family of nine?

12. A square piece of land is 81 chs. on a side. What is its perimeter?

13. A city block is 625 ft. on a side. How many chains on one side? How many square chains in a block?

A

14. How many acres are there in a rectangular enclosure 1 mi. long and mi. wide?

15. A rectangular farm contains 100 A. on one side. How long is the other side?

16. Reduce 2482 sq. rds. to square chains.

It is 80 rds.

17. At $960 a mile, what is the cost of making a road 4 mis. and 43 chs. long?

18. At $4.90 a square chain, what is the cost of 27 A. 43 sq. rds. of land?

19. The pressure of the air is 14 lbs. per square inch. What is the air pressure on a table top 38" × 76''?

20. The longest day in Stockholm is 18 hrs. 30 mins., in London 16 hrs. 32 mins., in Paris 16 hrs., in Boston 15 hrs. 16 mins., in Washington 14 hrs. 52 mins. How much longer is the longest Stockholm day than that of each of the other cities?

21. The shortest day in Stockholm is 5 hrs. 54 mins., London 7 hrs. 44 mins., Paris 8 hrs. 10 mins., Boston 8 hrs. 58 mins. How much shorter is the shortest Stockholm day than that of each of the other cities?

22. How many cubic feet of dirt must be moved in digging a ditch 18" wide, 2' 6" deep, 79 rds. long? How many cubic yards?

23. What will it cost to excavate a cellar 18′ long, 14' wide and 6' 3'' deep at $.42 per cubic yard of dirt?

24. How many bushels will a bin hold if it is 5' wide, 7' long, 4' deep?

25. A wagon bed 10', 8'' long, 3′ wide, and 19" deep holds how many bushels? How many bushels will it hold with a 6-in. top-box added? How much with a 9-in. top-box?

26. If a bushel of soft coal weighs 80 lbs., how deep must such a wagon bed be to contain 1 ton?

27. How deep a bin 7' long, 4' 7" wide must be built to hold 31 tons of soft coal?

28. A solid piece of timber 8" x 9" x 16' contains how many cubic feet?

29. A cubic foot of seasoned mahogany weighs 65.1 lbs., of hickory 58.84 lbs., of pitch pine 47.44 lbs., of cedar 42.7 lbs., of hemlock 25.53 lbs., of white pine 21.72 lbs., of ash 39.19 lbs. What is the weight of a piece of each of the above woods of the size mentioned in problem 28?

30. If a cubic foot of soil weighs 87 lbs., what is the weight of the soil of 1 sq. yd., 1 ft. in depth? Of 1 sq. rd., 1 ft. in depth? Of 1 A., 1 ft. in depth?

31. The following table shows the number of pounds of the three important elements of plant food in a ton of four different soils:

How much of each of these plant foods is there in an acre 1 ft. in depth?

32. In each bushel of the following crops there is the amount of the three chief plant foods indicated by the following table:

How many pounds of each of these is taken from the field with 65 bus. of crop?

33. What fraction of an acre is a garden 8 rds. 4 ft. long, 6 rds. 1 yd. wide?

34. How many square feet are there in a floor 15 ft. 3 ins. long by 12 ft. 9 ins. wide?

35. How many square yards are there in a ceiling 27 ft. 4 ins. long, 16 ft. 7 ins. wide?

36. If corn is planted in rows 3 ft. 6 ins. apart and the plants are 13 ins. apart in the row, how many corn plants will there be in a field 30 rds. 3 yds. 2 ft. 9 ins. long by 27 rds. 4 yds. 1 ft. 8 ins. wide?

37. How many square feet are allotted to each plant in problem 36?

38. In 1856 the steamship Persia crossed the ocean between Queenstown and New York, a distance of 2800 miles, in 9 days 1 hr. 45 mins. What was the average distance per day?

39. In 1894 the Lucania making the same trip crossed in 5 days 7 hrs. 23 mins. What was the average rate per hour? What was the gain in time of crossing over that of the Persia?