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MISCELLANEOUS.

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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 l 1o, 316, 22, s, will make the sum

total 10 ? 20. If It of of 2 of 40 lbs. of beef cost ljod., 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 23 lbs. of tea cost 12s. 9d., what will it 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 20°16 feet broad ? 24. Extract the square root of 5,25: 25. Extract the cube root of 134,217,728. 26. At what rate per cent. will 1,3031. 6s. 8d. amount to 1,8841. 18s. 11d.

in 7 years at simple interest? 27. A person who has 1,4751. in the 3 per cents. at 754 transfers it to

the 5 per cents at 1105; what is the alteration in his income ? 28. Explain the difference between interest and discount, and find the

present worth of 1,215l. due 4 years hence at 5% per cent. ? 29. By selling an article for 9l. 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 1577. 5s. 10d., and sell 6 of them at 71 48. each,

for what must the remainder be sold that I may gain 4 per cent. on the whole ?

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No. 2.

to

(Time allowed 3} hours. Time occupied from

.) 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 17,0301. 5s. at 7d. in the pound. 4. What is the tax on a bouse rented at 3277. 12s. 6d., if the tax on a house rented at 35 guineas is 61. 8s. 7}d. ?

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

11. 6s. 7 d. 6. What must be given for a gold snuff box weighing I loz., 19dwts.,

16 grs., at the rate of 41. 3s 9d. per oz. ?

Interest. 7. What is the simple interest on 2,245l. for 5 years at 4: per cent ? 8. Find the amount of 8,6001. in 4 years at 52 per cent. compound interest.

Fractions. 9. Add together $, 5, 45, 17o. 10. Subtract 61 from 91. 11. Multiply 10 by 314. 12. Divide 6% by 8.

Decimals.

13. Add together 70-1046, 701, '6, 16, and 7'304.
14. Subtract 870130563 from 352.61.
15. Multiply 1342 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 111, 22, 3,., , will make the sum

total 10 ? 20. If 13 of io of 14 of a ton is worth 41. 10s., what is the value of

40 3ths 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 4313. 25. Extract the cube root of '51478848. 26. At what rate per cent. will 1,3031. 6s. 8d. amount to 1,6871. 14s 10d.

in 10 years at simple interest ? 27. A person invests 9,0751. in the 3 per cents at 90%, and on their

rising to 91 transfers it to the 37 per cents at 931; 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. 158. due 2 years hence at 53 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.

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No. 3. (Time allowed, 3 hours. Time occupied, from to .) 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 7,9801. 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 ll. 13s. 4 d. 6. Find the cost of 7 cwt. 3 qrs. 201 lbs. at 31. 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 5001. amount to in 3 years at 4} per cent. compound interest ?

Fractions. 9. Add together 3), 53, 115, 3. 10. Subtract 5 from 73. 11. Multiply 117 by 8%. 12. Divide 125 by 9.

Decimals. 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, 1.2, 213, 115, will make the sum total

12 ? 20. If TÀ3 of 3į, of j, of 5}, of 22 lbs. of sugar cost 8fd., 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 314 lbs. when corn is at 4s. the bushel ?

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22. If 3} lbs. of tea cost 158. 3d., how many pounds can I buy for

41. 3s. 10 d. ? (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 3314 25. Extract the cube root of 12,167. 26. In what time will 5271. 10s. amount to 6021. 13s. 4 d. at 41 per

cent. simple interest ? 27. If the 31 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 47 per cent. 29. A grocer buys 3 cwt. of sugar at 5d. per pound, and 7 cwt. at 6£d.:

he sells 51 cwt. at 5 d. 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 8,3131. 5s. at 7d. in the pound. 4. If a bar of gold weighing 7 lbs. 1 oz. 14 dwts. is worth 2571. 28., 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 1,3841. 16s. per annum, and the rent

charges upon it amount to 14s. 91d. in the pound, what is his net annual income ?

Interest. 7. Find the simple interest on 1,2481. 12s. at 3} per cent. for 3 years. 8. How much will 8,000l. amount to in 4 years at 34 per cent. compound interest?

Fractions. 9. Add together 30, 31, 217, 24. 10. Subtract 8: from 183. 11. Multiply 119 by 77. 12. Dirido i8by 5.

Decimals. 13. Add together 140.17, 6432, .07042, and 3.12. 14. Subtract 83.450392 from 1210.3. 15. Multiply 80 • 46 by .00392. 16. Divide 37-52 by 2871.3 to 4 places of decimals. 17. Divide 507.97 by .0023 to 4 places of decimals. 18. Reduce 7 guineas to the decimal of 1,0001.

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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. 19. Add together is of a pound, of 6s. 8d., to of a crown, and is of

a penny: 20. If 3 of 3 of 7 of of 36 lbs. of sugar cost 12s. 6 d. how much

will 17 tons 17 cwt. cost? 21. If twelve men can dig a trench 15 yards long and 4 broad in 3 days

of 12 hours each, in how many days of 9 hours each can 8 men

dig a trench 20 yards long and 8 broad ? 22. What will be the cost of painting the walls of a room at 1s. 7d. per

square yard, the length being 19 feet 104 inches, the breadth 16 feet if inches, and the height 10 feet 3 inches? (Solve by

decimals.) 23. A cistern has two pipes, by one of which it may be filled in 20

minutes, and by the other in 25 minutes ; it has also a discharg. ing pipe by which it might be emptied in 18. If all three were

open together, in what time would the cistern be filled ? 24. Extract the square root of 514156. 25. Extract the cube root of 228099131. 26. At what rate (simple interest) will 2,0631. 15s. amount to

2,2491. 9s. 9d. in 22 years ? 27. A person invests 9,0751. in the 3 per cents. at 904, and on their

rising to 91 transfers it to the 3 per cents. at 97, what increase

does he make thereby in his annual income ? 28 A person buys teas at 3s. and 4s. the lb., and mixes them in the

proportion of 4 to 7, what will he gain per cent. by selling the mixture at 4s. 2d. per lb. ?

ARITHMETIC. (Set to Clerks in the Post Office at Dublin, Edinburgh, and London,

the Metropolitan Police Courts, the Department of Science and Art, the Board of Trade (Supplementary), the Board of Fisheries (Scotland), and the Prisons Department.)

No. 1. (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 3 tons 9 cwts. 2 qrs. 4 lbs. 6 oz. to oz. 2. How many miles, furlongs, &c. are there in 174,082 inches ? 3. How many lbs., oz., &c. are there in 228,908 grains of gold ? 4. Reduce 3 acres, 20 poles, to square feet.

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