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10. Express each of the silver coins now in use in England by a decimal of 2 d.

11 What decimal of £100 is the quotient of £61, 45. 716d. by 26715?

12. Reduce of a shilling to the decimal of a guinea.

13. What decimal of £2 is each of the gold, silver, and copper coins in circulation in England ?

}x} of 6 14. Reduce

1-3

of 5 florins to the decimal of £1.

Reduction to the Decimal of (Weights and Measures).

1. Reduce 3 ac. 2 rds. 22 pls. to the decimal of 4 acres; and of 4 ac. 3 rds. 16 pls.

2. What decimal is (a) 3 bush. 3 pks. of 1 qr.? (6) 19 qrs. i nl. of 11 yds. ? (c) 59 yds. 1 ft. of i mile?

3. Reduce 911 of 1 pks. to the decimal of 3} qrs.; and tito of a year to the decimal of a day.

4 Add together 5'5 of a cwt. and 3'125 qrs., and reduce this sum to the decimal of 10,000 tons.

5. What decimal of 1 lb. Troy is 64 grains ?

6. Reduce 3} dwts. to the decimal and to the vulgar fraction of 2! lbs. Troy.

7. Express as the decimal of 1 lb. Troy each of the lower denominations of Troy weight.

8. What part of 10 ac. 2 rds. 3716 pls. is i ac. 3 rds. 3712 pis. ? Give answer in vulgar fraction, and in decimals to four places.

9. Reduce 2 wks. 61 dys. to the decimal of 4 dys. 3 hrs.

10. Reduce 3 fur. 10 pls. to the decimal of a mile; and 2 ft. 3 in. to the decimal of 3 yds. 2 ft.

11. Three Russian versts = 10,500 ft. ; reduce a verst to the decimal of a mile.

1

Simplification

1. Reduce ( 54 )x1 of 1-8 to its simplest form, and

give the answer in vulgar and decimal fractions.
2. Simplify

*045 X '952380
428571

x 10 of 'oi.
24- of 1

16.8 3. Simplify (63+2)£+

d. } of 3+***95 of 5s.) +

'024 DECIMAL FRACTIONS (Miscellaneous). 1. How many grains must be added to 7+7+ 'où lbs. Troy to make up the sum of 8 lbs. ?

2. If the rent of 3 ac. 2 rds. be £6.53, what is the rent in £ s. D. of 396 ac. 3 rds. 10 pls.?

3. A owns '567 of an estate; B owns the remainder: express B's share as a vulgar fraction.

4. Which of the following fractions expresses the greatest amount :-19*255., £:95, 7*75 half-crowns, 1905 of a guinea ? How much greater is it than each of the others ?

12} 5. Reduce

XI of 1 to its simplest form, and state the answer as a decimal.

6. What decimal multiplied by 125 will give the sum of , , and 2'46?

7. Compare the values of 83 of 305., and •875 of a guinea.

8. The Colossus of Rhodes was 136 Greek feet high ; what was its height in English feet, if the Greek foot be equivalent to 12'14 English feet?

9. Reduce 2s. 6d., 5s. 4d., 75. 3d., and 16s. 8d. each to the decimal of £1; add them together, and subtract their sum from £5'2.

10. A gold watch is worth 5'03 times as much as a silver one; and 27 silver watches cost £101°25: what is the price in £ s. D. of a gold watch?

11. Find the value of 2·86805 of 3s. + 83 of 45. + 18 of 5s., and subtract it from a guinea.

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

13. If an ounce of gold be worth £4.0099, what is the value of a bar of gold weighing 1:683 lbs.?

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

15. Work out 365 - 365+ 36.5 – 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. 2}d.?

17. If I am charged '18755. 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 costs of £711•36, what is that per rood?

20. Add together 3:3, 3, 03, 0003, divide the sum by o36, 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 •, and divided by 5, gives £6.96? Give answer in decimals, and vulgar fractions, and £ s. D.

23. A has 2'95 tons of a certain material; and B, 17'09375 cwt of it. If its price be £i per quarter, how much more could A sell his stock for than B?

24. How much is '2615384 of £6, 1os., and 54 of 'ożj of 11 mls. ?

25. Reduce £-3, £24, £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 8' from the quotient.

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

28. I have 32:6 gallons of spirits at 18.55. per gallon, and lose 8 galls. I'ž pints by leakage; what must I sell the remainder at per gallon in order not to lose anything?

29. Take i}s., 13 of half-a-crown, and i juu's 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 4 of jy of jí to a decimal.

33. Which is the greater, and by how much, 5 of £7875, or 1.2 of 11s. 5 d. ?

34. I bought 14 cwts. 3 qrs. 14 lbs. of clover at £2, 55. 4}d. 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 '19 of his purchase'; what fraction has he remaining (a) of the estate, (6) 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 £5416875), and sell -75 of it; what fraction of the remainder should be purchased for £105, 6s. 6 d.?

38. Find the value of '2476 of is, 10 d. x 99'1456.

39. £275, 16s. 8 d., £219, 3s. 4d., £365, 125. 11.d., and £472, 18s. 91, d.; add together, and express their sum as a decimal of £ 1.

40. £i 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 •ž from 6'5i, and 24 from .43 ; 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 3651 dys. +575 of a week of 5 hrs.

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

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 6'00 26 oz. of gold at £3, 175. 10}d. 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'i8 inches, and the other two measure each 33.8 i inches?

49. The true length of the year is 365*24224 days; if it be calculated at 3651 days, how soon will the error amount to one whole day?

50. Find the vulgar fraction equivalent to the sum of 14'4 and 1'44 divided by their difference.

51. What is a decimal? Find the decimais equal to each of the following :-*.*, 188, 125, Togg:

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. 10!d. from 175. 5 d. 57. Find the price of 14 cwt. 3 qrs. 14 lbs. at £:625 per cwt.

58. Add together and express as a decimal (3 of 4) and 1; and (H of 5) and

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

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