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12. What is the value of 2476 of 7s. 6d. inultiplied by 24'7864?

13. If an ounce of gold be worth £40099, what is the value of a bar of gold weighing 1683 lbs. ?

14. Add together 4'56, '0036, and 2'0453, and subtract from their sum 01564837.

15. Work out 365-365+365-0365, and show what would be the difference in the result if the figure 5 in each of the fractions was circulating.

16. How much will be wanted to make up the sum of $375 of a guinea, 54 of 8s. 3d., and '0227 of £2, 15s. to £1, os. 21d.?

17. If I am charged 1875s. for travelling a mile by rail, how much change should I have out of half a sovereign after paying the fare for 40 miles?

18. Find the value of 2 of a guinea +53 of £1+*45326 of £5-5 of 5s.

19. If 6 of 3.63 acres cost 8 of £71136, what is that per

rood?

20. Add together 33, 3, 03, 0003, divide the sum by 036, and subtract 98.73325 from the quotient.

21. Find the sum of money to which, if we add 9 of £6·875, the result will be of £13, 6s. 8d.

22. What sum of money multiplied by 8, and divided by 5, gives £6.96? Give answer in decimals, and vulgar frac

tions, and £ s. D.

23. A has 2'95 tons of a certain material; and B, 1709375 cwt. of it. If its price be £1 per quarter, how much more could A sell his stock for than B?

24. How much is 2615384 of £6, 10s., and '54 of '0żż of II mls. ?

25. Reduce £3, £·27, £·857142 to vulgar fractions; add together, and give the value of the resulting fractions in £ s. D. 26. Divide of 7825 by 05, and subtract 818 from the quotient.

27. What shall I receive in a year (of 12 months) if I get 13 of £39, 8s. 1d. per month?

28. I have 326 gallons of spirits at 18.5s. per gallon, and lose 8 galls. 13 pints by leakage; what must I sell the remainder at per gallon in order not to lose anything?

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29. Take 1s., 13 of half-a-crown, and 1 of a guinea from of of £50'4.

30. The first of two articles is worth 5'03 times as much as the second; 21 of the latter cost £7875: find the price of three of the former in £ s. D.

31. A Winchester bushel is 9694472 of an imperial bushel; find what decimal (to 6 places) the imperial bushel is of the Winchester bushel.

32. Reduce of 3 of 3 to a decimal.

33. Which is the greater, and by how much, of £7875, or 12 of 11s. 51d.?

34. I bought 14 cwts. 3 qrs. 14 lbs. of clover at £2, 5s. 41d. per cwt.; at what price per cwt. should I sell it to gain £6.8796875 on my bargain?

35. A man buys 1875 of an estate, and re-sells 17 of his purchase; what fraction has he remaining (a) of the estate, (b) of his purchase?

36. Divide 000015 by the continued product of '002, 0005, and 03.

37. I have an estate (6 of which is valued at £541-6875), and sell 75 of it; what fraction of the remainder should be purchased for £105, 6s. 63d. ?

38. Find the value of 2476 of 1s. 10d. × 99°1456.

39. £275, 16s. 8d., £219, 3s. 41d., £365, 12s. 11 d., and £472, 18s. 91d.; add together, and express their sum as a decimal of £1.

40. 1 is divided among 3 boys. A gets 383 of it; B gets 47083 of it; and C gets the remainder: what is the share of each boy?

41. Take 3 from 6'51, and 24 from 47; add the two differences together, and give the vulgar fraction equivalent to the sum of them.

42. Find the value (in wks., dys., hrs., min., sec.) of 2.8i of 365 dys.+5.75 of a week-3 of 55 hrs.

43. If 00234375 of a mile of footway cost 2 guineas to lay down, what would be the cost of laying down mile and a half?

of a

44. Find the value of 176 of 1 fur. 36 pls. 2 yds. 5 in.; and of 22 of 3 qrs. 15 lbs.

45. What distance can one travel in the penny-a-mile train for a ticket costing 375 of a guinea?

46. What is the price of 6'0026 oz. of gold at £3, 17s. 10ld. per oz. ?

47. A merchant commences business with the sum of £800; this increases at the rate of 25 every year: what will be the amount at the end of the fifth year?

48. What will be the length of the hem of a handkerchief, two of the sides of which measure 16'18 inches, and the other two measure each 33.8 inches?

49. The true length of the year is 365 24224 days; if it be calculated at 365 days, how soon will the error amount to one whole day?

50. Find the vulgar fraction equivalent to the sum of 14'4 and 144 divided by their difference.

51. What is a decimal?

13 103

Find the decimals equal to each

7

89

of the following:-9, 180, 125, 9999

52. Find the value of 3·27 of 3 of 27 tons.

53. If one ounce avoirdupois cost £03125, what will 03125 lbs. cost?

54. Add together the value of five times 173 of three halfcrowns, 17:43 half-sovereigns, 1795 crowns, £19, and 7:45 shillings.

55. What is the quarter's rent of 13'916 acres of land, at £2'45 per acre per annum?

56. Subtract by decimals 14s. 10ld. from 17s. 52d.

57. Find the price of 14 cwt. 3 qrs. 14 lbs. at £625 per cwt. 58. Add together and express as a decimal (1 of 4) and 1; and (11 of) and.

59. Find the value of 00375 lbs. Troy of sterling gold, at the rate of £3, 175. 10d. per oz.

60. Two watermen rowing with the tide, flowing at the rate of 2 miles an hour, got over 20 miles in 32 hours; in what time could they do the distance against the same tide? Give answer in decimals of an hour.

61. Find the sum, difference, product, and quotient of 151904 and 0505.

62. Divide £31, 8s. among 6 men and 11 boys, giving a boy 525 of a man's share. What is the worth of a man's share and of a boy's share?

63. A field of 5'42857i acres was purchased for £406, 16s. ; how many acres should be sold at the same rate for £355, 19s. ?

64. If 3 of an estate is worth £450, 155., what is the value of 48 of the estate?

65. Find the value of

66. A owns 567 of an what is the value of B's £27,000?

05625 and

1927083.

estate, and B 6 of the remainder; share if the whole estate be worth

67. Find the cost of 2625 of a mile at the rate of 93d. per yard; and of 36 of 4 qrs. 4 bush. at 56s. 6d. per quarter.

68. One pound of sugar being worth 03515625 of £1, 125., find the value of 15625 cwt.

69. Add together, and state the result, the sum, the difference, the product, and the two quotients of '04 and 005.

I

70. If 1 lbs. of sugar cost 03515625 of 56s., what is the value of 3125 cwt.?

71. Find by decimals (to three places) how often £1, 195. 11 d. is contained in £473, 18s. 6d.

72. What decimal of a half-sovereign is each of the silver coins now in use in England? Add those decimals together, and state (in decimals and in coins) how much their sum exceeds the half-sovereign.

73. Make out this bill :-914 lbs. of tea at 4s. 2d. per lb. ; 8.6 lbs. of tea at 3s. 3d.; 13'03 lbs. of sugar at Is. 3d.; 87.006 lbs. of tobacco at 6s. 3d. a lb.

74. Add together of a guinea, of £4, 13 of half-a-crown, of a shilling, and express their sum as the decimal of 8s. 4d.

75. A person owned of a coal mine, and sold of of his share for £5125'25; what was the value of the mine and of his share of it?

76. Find the difference between a dozen half-crowns reduced to the decimal of a score of half-crowns, and a score of halfcrowns reduced to the decimal of a dozen.

77. Express in decimals the average of 8.625, 20, 3, 12, o, 3, and 474.

78. I am paid one guinea per working week of 6 days; express decimally the amount of my earnings in a leap year, beginning (1) with a Monday, (2) with a Sunday.

79. State and prove the rule for the reduction of circulating decimals to vulgar fractions. Give examples.

80. Find the difference between 08 and; and between 18 and; and between 8i and ; and add their differences together.

3

81. Add of 45. 7d., 2*35 of a shilling, 2375 of £1, and

42

reduce the result to the decimal (5 places only) of half-aguinea.

82. How many seconds are there in a century, if a solar year contains exactly 365 242218 solar days?

83. Divide £57.75 into 86.625 shares, and find what fraction each share is of 9'3 guineas.

84. Find the sum-total of the following quantities, and the value of the whole at 7 of 6s. 8d. per pole, viz. 18 of of an acre +95 of 8 of a rood.

85. What is the cost of a dish of almonds and raisins, consisting of 375 lbs. almonds and 75 lbs. raisins, if the almonds be £0416 and the raisins £04583 per lb. ?

86. Find the value of 1 lb. avoirdupois of pure gold, if the value of 1 oz. Troy of 'sterling' gold, 916 fine, is £389375.

87. If a man travels in the day '9746 of 15°274 miles at an expense of 73 of 7s. 6d., how far will he go in 365 242242 days, and at what cost? Give both answers to five places of decimals.

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