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(Set to all candidates who are required to show a knowledge of "Arithmetic, including Vulgar and Decimal Fractions.")

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You are requested to write your name at the top of each of your papers, to put the number to each question, and to send up the working as well as the answers.

Reduction.

1. In 23,221 grains of gold how many pounds, ounces, &c.?

2. Reduce 2 miles, 1 furlong, 12 poles, 1 foot, 8 inches, to inches.

Proportion.

3. Find the income tax on 6,150l. 10s. at 7d. in the pound.

4. What weight of sugar may be bought for 937. 12s. when the cost of 6 cwt. 2 qrs. is 271. 14s. 8d.?

Practice.

5. Find the value of 6,723 pieces of cloth, each piece being worth 11. 8s. 81d.

6. Find the cost of 4 cwt. 3 qrs. 221⁄2 lbs. at 17. 9s. 2d. per cwt.

Interest.

7. Find the simple interest on 2917. 13s. 4d. at 3 per cent. for 6 years.

8. How much will 3,500l. amount to in 4 years at 4 per cent. compound interest?

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13. Add together 501 1306, 96, 6'401302, and 72. 14. Subtract 901 53629 from 30640 ̊48.

15. Multiply 12 403 by 3016.

16. Divide 91 4 by 9020 ̊4 to 4 places of decimals.
17. Divide 4 37 by '0104 to 3 places of decimals.
18. Reduce 1'85 of 3s. 4d. to the decimal of a guinea.

MISCELLANEOUS.

N.B. You are not required to answer any of the following questions; but if you have time (after finishing those on the preceding page) it will be well for you to do as many as you can, selecting the most difficult which you can do.

19. What number, added to 10, 31, 2, 4, will make the sum total 10?

20. If of of 21 of 40 lbs. of beef cost 1d., how many pounds may be bought for 11. 6s. 6d. ?

21. If 3 men can mow 7 acres of grass in 5 days of 9 hours each, in how many days of 8 hours each will 5 men mow 35 acres?

22. If 24 lbs. of tea cost 12s. 9d., what will of a lb. cost? (Solve by decimals.)

23. How many yards of matting, 4'8 feet broad, will cover a floor that is 27.3 feet long and 2016 feet broad?

31

24. Extract the square root of 5.5

25. Extract the cube root of 134,217,728.

26. At what rate per cent. will 1,3037. 6s. 8d. amount to 1,8847. 18s. 11d. in 7 years at simple interest?

27. A person who has 1,4757. in the 3 per cents. at 754 transfers it to the 5 per cents at 110%; what is the alteration in his income? 28. Explain the difference between interest and discount, and find the present worth of 1,2157. due 4 years hence at 53 per cent. ? 29. By selling an article for 97. 10s. the seller loses 5 per cent. on his outlay; what would be his loss or gain per cent. if he sold it for 111. 17s. 6d.

30. If I buy 14 oxen for 1571. 5s. 10d., and sell 6 of them at 77 4s. each, for what must the remainder be sold that I may gain 4 per cent. on the whole ?

No. 2.

(Time allowed 3 hours.

Time occupied from

to .)

You are requested to write your name at the top of each of your papers, to put the number to each question, and to send up the working as well as the answers.

Reduction.

1. Reduce 17 tons, 13 cwt., 1 lb. to oz. Avoirdupois.

2. In 537,086 inches, how many miles, furlongs, &c. ?

Proportion.

3. Find the income tax on 17,030l. 5s. at 7d. in the pound.

4. What is the tax on a house rented at 3277. 12s. 6d., if the tax on a house rented at 35 guineas is 67. 8s. 71⁄2d. ?

Practice.

5. Find the value of 3,546 pieces of cloth, each piece being worth

11. 68. 7 d.

6. What must be given for a gold snuff box weighing 11oz., 19dwts., 16 grs., at the rate of 41. 3s. 9d. per oz. ?

Interest.

7. What is the simple interest on 2,2451. for 5 years at 4 per cent? 8. Find the amount of 8,6001. in 4 years at 5 per cent. compound

interest.

9. Add together, 8, 45, 17.

10. Subtract 6 from 93. 11. Multiply 10 by 311.

12. Divide 6 by 87.

13. Add together 70 1046, 701,

Fractions.

Decimals.

6, 16, and 7°304.

14. Subtract 87130563 from 352 61.

15. Multiply 1'342 by '2057.

16. Divide 91 6 by 8931 61 to 4 places of decimals.

17. Divide 43°2 by 0351 to 3 places of decimals.

18. Reduce 3'45 of half a guinea to the decimal of half-a-crown.

MISCELLANEOUS.

N.B. You are not required to answer any of the following questions ; but if you have time (after finishing those on the preceding page) it will be well for you to do as many as you can, selecting the most difficult which you can do.

19. What number, added to 1, 2, 3, 2 will make the sum

total 10?

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20. If 13 of of 12 of a ton is worth 47. 10s., what is the value of

40

ths of it?

21. If 3 men can mow 14 acres of grass in 5 days of 9 hours each, in how many days of 10 hours each will 5 men mow 35 acres? 22. If 23 lbs. of tea cost 9s. 6d. what will of a lb. cost? (Solve by

decimals.)

23. How many yards of matting, 7.3 feet broad, will cover a floor that is 27 3 feet long and 10'083 feet broad?

24. Extract the square root of 4213.

25. Extract the cube root of 51478848.

26. At what rate per cent. will 1,3037. 6s. 8d. amount to 1,6871. 14s 10d. in 10 years at simple interest?

27. A person invests 9,0757. in the 3 per cents at 903, and on their rising to 91 transfers it to the 34 per cents at 93; how is his annual income affected?

28. If oranges be bought at the rate of 20 for a shilling, how many should be sold for 21. 8s. in order to gain 40 per cent. upon the outlay?

29. Explain the difference between interest and discount, and find the true present worth of 5531. 15s. due 2 years hence at 5 per

cent.

30. A person sells out of the 3 per cents at 98, and invests his money in railway 5 per cent. stock at par; find how much per cent. his income is increased or diminished.

No. 3.

(Time allowed, 3 hours. Time occupied, from

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You are requested to write your name at the top of each of your papers, put the number to each question, and to send up the working as well as the answers.

Reduction.

1. In 32,391 ounces (avoirdupois) of sugar how many tons, &c. ? 2. Reduce three weeks, 4 days, 5 hours, 54 minutes to seconds.

Proportion.

3. Find the income tax on 7,9807. 10s. at 7d. in the pound.

4. If by working 9 hours a day I can finish a piece of work in 12 weeks, how long shall I take to finish it if I work 8 hours a day?

Practice.

5. Find the value of 6,943 sheep, each sheep being worth 17. 13s. 44d. 6. Find the cost of 7 cwt. 3 qrs. 20 lbs. at 37. 2s. 5d. per cwt.

Interest..

7. Find the simple interest on 5881. 6s. 8d. at 34 per cent. for 5 years. 8. How much will 500l. amount to in 3 years at 4 per cent. compound interest?

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13. Add together 27 03, 452 0091, 37, 1.873592, and 83.

14. Subtract 423 79283 from 1857 23.

15. Multiply 5 0103 by 6 503.

16. Divide 84 5 by 3936 2 to 4 places of decimals.

17. Divide 56 64 by 0107 to 3 places of decimals.

11. Reduce 3 285 of 6s. 8d. to the decimal of a guinea.

MISCELLANEOUS.

N.B. You are not required to answer any of the following questions; but if you have time (after finishing those on the preceding page) it will be well for you to do as many as you can, selecting the most difficult which you can do.

19. What number added to 33, 120, 212, 11, will make the sum total 12?

20. If of 33, of 7, of 5, of 22 lbs. of sugar cost 84d., how much will 1 ton 11 cwt. 3 qrs. cost?

21. If I pay 2s. for 14 lbs. of bread when corn is worth 6s. per bushel, what must I pay for 31 lbs. when corn is at 4s. the bushel?

22. If 3 lbs. of tea cost 15s. 3d., how many pounds can I buy for 41. 3s. 10d.? (Solve by decimals.)

23. A room is 42 feet long, 28 feet broad, and 12 feet high, what will be the cost of covering the walls with a paper 2 feet 3 inches wide, at 9d. per yard?

24. Extract the square root of 3311.

25. Extract the cube root of 12,167.

26. In what time will 5271. 10s. amount to 6027. 13s. 44d. at 4 per cent. simple interest?

27. If the 3 per cents. be at 91, how much must I invest in them in order to have a yearly income of 9321. after paying 7d. in the pound income tax?

28. Explain the difference between interest and discount, and find the present worth of 2,6741. 6s. due 3 years hence at 43 per cent. 29. A grocer buys 3 cwt. of sugar at 5d. per pound, and 7 cwt. at 63d.: he sells 5 cwt. at 54d. per pound, at what rate per pound must he sell the remainder in order to make 50 per cent. on his whole outlay?

30. A tobacconist mixes together 80 lbs. of tobacco at 14d. per lb., 100 lbs. at 20d., 60 lbs. at 4s. 10d., and 20 lbs. at 2s. 10d. per lb., what will be the value of 3 oz. of this mixture?

No. 4.

(Time allowed, 3 hours. Time occupied, from

to .)

You are requested to write your name at the top of each of your papers, to put the number to each question, and to send up the working as well as the answers.

Reduction.

1. In 86,754 oz. (avoirdupois) how many tons, &c. ?
2. Reduce 6 miles, 5 furlongs, 7 poles, 2 yards, to feet.

Proportion.

3. Find the income tax on 8,3137. 5s. at 7d. in the pound.

4. If a bar of gold weighing 7 lbs. 1 oz. 14 dwts. is worth 2571. 2s., what is that per oz. ?

Practice.

5. Find the cost of 14 cwt. 3 qrs. 19 lbs. at 51. 16s. 8d. per cwt. 6. If a person's estate is worth 1,3847. 16s. per annum, and the rentcharges upon it amount to 14s. 94d. in the pound, what is his net annual income?

Interest.

7. Find the simple interest on 1,2487. 12s. at 34 per cent. for 3 years. 8. How much will 8,000l. amount to in 4 years at 34 per cent. compound interest ?

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