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51

END OF FIRST YEAR-FEMALES.

ARITHMETIC.

1. A leg of mutton, weighing 9 lb., cost 6s. 4d.; find the value of 6 sheep, each weighing 1 cwt. 2 lb., at the same price.

2. If 10 men do a piece of work in 9 days, how many men will do another piece, four times as great, in two-thirds of the time?

3. If £240 gain £16 in 6 months, what sum will gain £5, 6s. 8d. in 8 months?

4. A gentleman pays a tax of 4d. in the pound, amounting to £21, 13s. 4d.; on how much money was the tax paid?

5. What sum will gain £16, 8s. in five years, if £100 gain £4 in one year?

6. If 24 men consume 240 lb. of beef in 2 weeks, how many lbs. will 18 men consume in 8 weeks?

7. If the sixpenny loaf weighs 2 lb. 3 oz., when wheat is selling at 64s. per quarter, what should it weigh when wheat is selling at 56s.?

8. If 3 men earn £15 in 20 days, how many men will earn 15 guineas in 9 days, at the same rate?

9. If a family of 9 persons consume 18s. worth of bread in two weeks, when wheat is 8s. per bushel, how much money will it require for a family of 12 persons, when wheat is 7s. per bushel?

10. How many dozen copy-books, at 21d. each, can be bought for £9?

11. Bought 113 cwt. of coffee for £632, 16s., and sold it at 1s. 10d. per lb.; what was my total gain?

12. If 16 men consume £3, 10s. worth of bread in 3 weeks, when wheat is £4, 16s. a quarter, what value of bread will they eat in the same time, when wheat is 7s. a bushel?

13. If the rent of 11 ac. 3 ro. of land be £42, what will be the rent of 1 ac. 1 ro. 35 po. ?

14. If 40 horses can plough 60 acres of land in 2 days of 8 hours each, how many hours a day must 50 horses work to plough 80 acres in 3 days?

15. The amount of work A can do is to the amount B can do, as 3 is to 5. In what time will both together do a piece of work that would take A alone 6 days to do?

16. What quantity of cloth can be bought for £15, 10s. 10d., if 101 yd. can be bought for half-a guinea? 17. A bankrupt owes A £72, 6s. 8d.; B £118, 5s. 9d.; C £103, 6s. 5d.; his assets are £205, 7s. 6d. How much can he pay in the pound?

18. If the interest of £60 for 5 years amount to ten guineas, what will be the interest of £100 for a year?

19. If the 4d. loaf weigh 2 lb. 3 oz., when wheat is 7s. 1 d. per bushel, what should it weigh when wheat is 7s. 11d. per bushel?

20. If 7 men take 15 days to do a certain work, how many men should be hired to do a work twice as large in three times the time?

21. How long should 39 men take to do what 38 men did in 39 days?

22. A room 31 ft. 6 in. long, and 23 ft. 10 in. broad, is to be covered with carpet of a yard wide. What length

of carpet will be required?

23. What do the taxes on a house rented at £327, 12s. 6d. amount to, when the taxes on a house rented at 35 guineas are £6, 8s. 7d.?

24. If 14 men, in 15 days, do five-twelfths of a certain

work, find the smallest number of men that could do the remaining seven-twelfths in 28 days.

25. The interest on £232, 11s. 7 d., for 10 months, is £10, 2s. 84d.; what sum would yield the same interest in 17 months?

26. The money I spend is to the money I save in the proportion of 5:3; what sum must I have earned before my savings amount to £75?

27. A bankrupt's goods are valued at £365, 18s. 10d., and his debts amount to £1392, 15s. 61d.; how much can he pay in the pound?

28. If 161 lb. of tea are given in exchange for 12 cwt. 21 lb. of sugar, at 5 d. per lb., what is the price of the tea per lb.?

29. If 49 men can do a piece of work in 130 days of 8 hours, how many hours a day must 196 men work to do as much in 26 days?

30. If 1 ton 16 cwt. 3 qr. 20 lb. cost £2, 15s. 8d., how much will 3 tons 11 cwt. cost?

31. If 36 horses can carry 24 loads 3 miles in a day, how many loads can 60 horses carry 5 miles in the same time?

32. My income, after deducting 63d. per pound of income tax, is £467. Find my gross income.

33. A grocer bought 2 tons 3 cwt. 3 qr. of sugar for £120, and paid £50 of expenses; how much must be charged per cwt. to have a clear profit of £61, 5s.?

34. If for £1, 4s. I have 1200 lb. carried 36 miles, how many lbs. can I have carried 24 miles for the same money?

35. How many yards of cloth can I get for 36s. 8d., when I can get 7 pieces, each containing 2 yd. of cloth, for a guinea?

36. What length of wall, 2 ft. broad and 12 ft. high, can be built by 32 men in 26 days, working 9 hours a day; if a wall 300 yd. long, 3 ft. broad, and 10 ft. high, can be built by 48 men in 130 days, working 6 hours a day?

37. How many yards of velvet, at 15s. 9d. per yard, should be given in exchange for 315 yd. of silk, at 8s. 74d. per yard?

38. If 500 men have provisions for 85 days, and if after 17 days, 75 of the men go away, find how long the remaining provisions will serve the number left.

39. If £6 is sufficient to maintain 9 labourers for a fortnight, when corn is at 28s. per qr., how much will be required to maintain 6 labourers 35 days, when corn is at 32s. per qr.

?

40. Multiply £563, 7s. 91d. by 1674.

41. If 7 men can mow 84 acres in 12 days, how many men will it take to mow 220 acres in 11 days?

42. Find the dividend on £566, 19s. 3d., at 10s. 111d. in the pound, neglecting fractions of a farthing.

43. How much will a creditor lose on a debt of £2671, 2s. 6d., when a bankrupt can only pay 13s. 4d. in the pound?

44. If the poor-rate on property having an annual rental of £1325, 15s., be £33, 2s. 101d., what amount of poor-rate should be paid on a house having a rental of 30 guineas?

45. A parcel of 5 lb. 2s. 6d.; how far, at the carried for 5s. 71d.?

7 oz. is carried 120 miles for same rate, will 16 lb. 5 oz. be

46. If 300 labourers can make an embankment in 48 days, in how many more days will 60 fewer do it?

47. A family may live for three months in the country for £24, 10s.; what will be required to maintain them in town for 9 months, supposing £3 in the country to be equivalent to £4 in town?

48. An express train moves 8 times as fast as a man who walks 7 feet in a second. What is the speed of the train, in miles, per hour?

49. If 25 ducks and 100 chickens cost £9, 7s. 6d., and one duck and one chicken cost 4s. 6d., find the price of a duck and a chicken respectively.

50. A market-woman buys herrings at 2s. 8d. the hundred of six score, and retails them at 4s. 6d. the true hundred; how many must she sell to gain half a sovereign?

51. The ratable value of a parish is £7280, and a sum of £91 has to be raised by rate; how much per pound must the rate be?

52. If the carriage of 16 cwt. of sugar, for 32 miles, be 5s. 10d., what will the carriage of 11 tons 8 lb., for the same distance, amount to?

53. A merchant bought 3 pieces of cloth, each measuring 3 yd. 3 qr. 3 nl., at 1s. 8d. per yard; how much did he pay for the whole?

54. If 4 tons 5 cwt. are carried 40 miles for 14s. 2d., how far will 5 tons 10 cwt. be carried for £1, 7s. 6d. ?

55. If ten men do a piece of work in twenty-four days, how many men will be required to do a piece of work seven times as great in one-fifth of the time?

56. If the 8d. loaf weighs 42 oz. when wheat is 54s. per qr., what should be the price of wheat when the 6d. loaf weighs 28 oz.?

57. If 6 men in 10 days of 9 hours each plough 56 ac., how many days of 10 hours each will 5 men take to plough 70 ac.?

58. If 6 bricklayers build a wall 18 yd. long in 3 days of 9 hours each, how many would be required to build another wall of the same height and thickness, but 33 yd. long, in 9 days of 11 hours each?

59. A field, containing 24 ac., is mown by 8 men in 12 days; how many acres could 12 men mow in 15 days? 60. The carriage of 12 cwt. for 30 miles cost 12s. 6d.; how much ought to be paid for the carriage of 3 tons 45 miles?

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