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6. If there are more periods to be brought down, proceed as before, using the part of the root already found, the same as the first figure in the previous process.

1. If a cipher occur in the root, annex two ciphers to the trial divisor, and another period to the dividend; then proceed as before, annexing both cipher and trial figure to the root.

2. If there is a remainder after the root of the last period is found, annex periods of ciphers and proceed as before. The figures of the root thus obtained will be decimals.

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The cube root of a fraction may be found by extracting the cube root of the numerator and the denominator.

In extracting the cube root of decimal numbers, begin at the units' place and proceed both toward the left and the right, to separate into periods of three figures each.

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21. What is the length of the edge of a cubical box that contains 46656 cubic inches?

22. How many square feet in the surface of a cube whose volume is 91125 cubic feet?

23. What is the length of the inner edge of a cubical bin that contains 150 bushels of grain ?

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2. What decimal of a rod is 1 ft. 7.8 in. ?

3. The difference between and 3 of a number is 10; what

is the number?

4. Find the value of a farm,

5. Find the cost of 1 Cd. of

of $32.

of which is valued at $1575.

wood, if of 54 Cd. cost

6. What is the least number of acres in a farm that can be exactly divided into lots of 10 A., 14 A., 16 A., or 20 A. each? 7. What will 115 lb. of hay cost, at $20 per ton?

8. A farmer sold 2 loads of corn, weighing 2352 lb. each, at $.98 per bushel. What did he receive?

9. How many rods of fence will enclose a farm 1 mile sq.? 10. The roof of a house is 42 ft. long, and each side 20 ft. 6 in. wide. Find the cost of roofing at $4.621 a square.

11. If a bushel of barley cost $.80, what will 20 bu. 3 pk. 6 qt. cost?

12. How many acres in a field 56 rd. long, and 24.6 rd. wide?

13. If 154 bu. 1 pk. 6 qt. cost $173.74, what will 1.5 bu. cost?

14. How many perches of masonry in the wall of a cellar 20 ft. square on the inside, 8 ft. high, and 14 ft. thick? 15. If 14 cwt. of sugar cost $124, how many pounds can be bought for $93, at the same rate?

16. A dealer bought 240000 ft. and retailed it out at $21 per C.

of lumber, at $15.90 per M., What was his whole gain?

17. What would a man lose, who owned .15 of $8000 worth of dry goods, .375 of which were destroyed by fire?

18. What is the interval of time between March 20, 21 min. past 3 o'clock P. M., and April 11, 5 min. past 7 o'clock A. M. ? 19. Find the dimensions of a cubical cistern holding 2000 gallons.

20. A cistern measures 4 ft. 6 in. square, and 6 ft. deep; how many hogsheads of water will it hold?

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22. If I lend a neighbor $200, 6 mo., how long ought he lend me $1000 to balance the favor?

23. Bought R. R. stock to the amount of $2356.80, and found that the sum invested was 40% of what I had left. What had I at first?

24. 20% of of a number is what per cent. of of it?

25. Bought merchandise for $2250, cash; for what sum must I draw my note at 3 mo., so as to obtain that sum at the bank, interest at 7%?

26. What part of any sum equals the interest of it for 5 yr. 4 mo. at 9% ?

27. A house that is 50 ft. long and 40 ft. wide has a square or pyramidal roof, whose height is 15 ft. Find the length of a rafter reaching from a corner of the building to the vertex of the roof.

28. Find the length of a rafter reaching from the middle of one side.to the vertex.

29. Bought merchandise as follows: July 3, $35.26; July 4, $48.65, on 30 da.; Aug. 17, $6.48; Sept. 12, $50. What is due on the account Oct. 12, interest at 9%?

30. What sum must be invested in stocks bearing 61%, at 105%, to produce an income of $1000?

31. Find the face of a note drawn at 4 mo., the proceeds of which, when discounted at bank at 7%, is $875.50 ?

32. If a piece of land 40 rd. long and 4 rd. wide make an acre, how wide must it be to contain the same, if 25 rd. long?

33. The shadow of a tree measures 42 ft.; a staff 40 in. in length casts a shadow 18 in. at the same time. What is the height of the tree?

34. If $500 gain $50 in 1 yr., in what time will $960 gain $60? 35. A person exchanges 250 shares of 6% stock, at 70%, for stock bearing 8%, at 120%; what is the difference in his income?

36. Received $33.25 interest on a sum of money loaned 5 yr. previous, at 7%. What was the sum lent?

37. How many sq. ft. of boards will make a box and cover, 14 ft. long, 6 ft. wide, and 4 ft. high, outside measurement. 38. What will be the cost of a pile of wood 30 ft. long, 10 ft. wide, and 7 ft. 6 in. high, at $3.60 a cord?

39. What amount of money must I invest at 6% to receive an annual income of $1290?

40. A bin 20 ft. long, 8 ft. wide, and 3 ft. 6 in. deep is full of wheat. What is its value, at $1.28 a bushel?

41. May 10, 1883, I borrowed $6840, with which I purchased flour at $5.70 a barrel. June 21, 1884, I sold the flour at $6.62 a barrel cash. What did I gain by the transaction, interest being reckoned at 6%?

42. A filcor 52 ft. long by 35 ft. wide is to be covered with carpeting 2 ft. 4 in. wide. Find the length, and the cost, at $1 a yard, no allowance being made for waste or matching.

43. Bought tea at $.90 a pound. What must I ask per pound to abate 10% and still make 20% ?

44. What should be discounted for the present payment of a note for $430, due in 1 yr. 6 mo., money being worth 51 per cent.?

45. What will be the cost of digging a cellar 41 ft. 3 in. long, 33 ft. wide, and 8 ft. deep, at .48 a cu. yard?

46. Bought a hogshead of molasses for $28, and 7 gal. leaked out; at what rate per gallon must the remainder be sold to gain 20%?

47. What sum invested in stocks at 105, bearing 6% int., will produce an income of $1050 a year?

48. In 1 yr. 4 mo. $311.50 amounted to $336.42, at simple interest. What was the rate %?

49. B and C trading together, find their stock to be worth $3500, of which C owns $2100; they have gained 40% on their first capital. What did each put in?

50. What is the value of

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51. What is a load of wheat worth, weighing 2430 lb., at $1.20 a bushel?

52. Bought 42 shares Ill. Cent. R. R. stock at 86, and sold the same at a premium of 12%. What was the gain?

53. What will it cost to insure a factory valued at $21000, at %, and the machinery, valued at $15400, at £%?

54. The pedestal of a certain monument is a cubic block of granite, containing 373248 cu. in. What is the length of one of its sides?

55. What is the amount of $200 for 8 yr. at 6% comp. int.? 56. Paid $148.352 for 9728 ft. of lumber. What was that per M. ?

57. Bought goods for $1370, on 3 mo. credit; sold the same at an advance of 25% of the cash value, and took in payment $350 cash, and the balance in two notes of equal amount, one at 3 mo., and the other at 6 mo. Reckoning discount at 6%, what was the net gain?

58. If by working 63 hr. a day, a man can do a job in 12 da., how many days will be required if he work 84 hr. per day? 59. An open court contains 40 sq. yd. How many stones,

9 in. square, will be required to pave it?

60. A merchant bought goods to the amount of $1000, and gave his note, dated Jan. 1, 1882, on int. after 3 mo.; 6 mo.

after the note was given, he first payment, he paid $406.

paid $560, and 5 mo. after the What was due Aug. 23, 1884 ?

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