20. If of of 24 of 40 lbs. of beef cost 13d., how many pounds may be bought for 17. 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 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 5.3.

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

26. At what rate per cent will 13331. 6s. 8d. amount to 1884l. 18s. 11d. in 7 years at simple interest?

27. A person who has 14751. in the 3 per cents at 754 transfers it to the 5 per cents at 110g; what is the alteration in his income?

28. Explain the difference between interest and discount, and find the present worth of 1215l. due 4 years hence at 5 per cent?

29. By selling an article for 91. 10s. the seller loses 5 per cent. on his outlay; what would be his loss or gain per cent if he sold it for 11l. 17s. 6d. ?

30. If I buy 14 oxen for 1751. 5s. 10d., and sell six of them at 71. 4s. each, for what must the remainder be sold that I may gain 4 per cent on the whole ?

Another paper:

(Time allowed, 34 hours. Time occupied, from to

.)

Note to Candidate.-" 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 (avordupois) of sugar how many tons, &c.?

2. Reduce 3 weeks, 4 days, 5 hours, 54 minutes to seconds.

Proportion.

3. Find the income tax on 79801. 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 6943 sheep, each sheep being worth 11. 13s. 4 d. 6. Find the cost of 7 cwt. 3 qrs. 204 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 500l. amount to in 3 years at 4 per cent compound interest?

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.

18. Reduce 3.285 of 6s. Sd. to the decimal of a guinea.

Note to Candidate.-"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, 12, 2, 18, will make the sum total 12? 20. If of 33, of 3, of 51, 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 314 lbs. when corn is at 4s. the bushel?

22. If 3 lbs. of the cost 15s. 3d., how many pounds can I buy for 4l. 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 33.

25. Extract the cube root of 12,167.

26. In what time will 5271. 10s. amount to 6021. 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 in

come tax?

28. Explain the difference between interest and discount, and find the present worth of 2674l. 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 6d. 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?

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), the Prisons Department, &c.

(Time allowed, 3 hours. Time occupied, from to .) Note to Candidate." You are requested to write your name at the top 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.

Proportion.

5. Find the income tax on 7,5307. 14s. 44d. at 16d. in the pound. 6. If 17 cwt. 3 qrs. 14 lbs. of barley cost 87. 18s. 9d., how much may be bought for 51. 12s. 6d. ?

7. How much will a creditor lose on a debt of 5,3421. 5s., when a bankrupt can only pay 13s. 6d. in the pound?

8. A man working 64 hours a-day does a piece of work in 6 days; how many hours a-day must he work in order to do it in 5 days?

Practice.

9. Find the value of 3,107 sheep, each sheep being worth 17. 14s. 7 d. 10. Find the dividend on 3,7627. 10s. at 8s. 24d. in the pound.

11. Find the value of 14 oz. 8 dwt. 20 grs. of gold at 31. 17s. 6d. per oz. 12. What will the painting of a room cost at 2s. 3d. the square yard, whose height is 10 feet, width 15 feet, and length 19 feet?

Another paper:

(Time allowed, 3 hours.

Time occupied, from to .)

Note to Candidate.-" 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 1 ton, 4 cwts. 3 qrs. 2 lbs. 3 oz. to oz.

2. How many miles, furlongs, &c. are there in 348,164 inches? 3. How many lbs., oz., &c. are there in 114,454 grains of gold?

4. Reduce 4 acres, 20 poles, to square feet.

Proportion.

5. Find the income tax on 6,0307. 14s. 44d. at 16d. in the pound.

6. If 17 cwt. 3 qrs. 14 lbs. of barley cost 81. 18s. 9d., how much may be bought for 21. 16s. 3d.

7. How much will a creditor lose on a debt of 2,3421. 5s., when a bankrupt can only pay 13s. 6d. in the pound?

8. A man working 64 hours a-day does a piece of work in 12 days; how many hours a-day must he work in order to do it in 7 days?

Practice.

9. Find the value of 6,214 sheep, each sheep being worth 17. 14s. 7d. 10. Find the dividend on 3,8541. 10s. at 8s. 24d. in the pound. 11. Find the value of 16 oz. 6 dwt. 20 grs. of gold at 31. 17s. 6d. 12. What will the painting of a room cost at 2s. 3d. the square yard, whose height is 15 feet, width 16 feet, and length 18 feet.

per oz.

Set to Tidewaiters and Weighers.

WEIGHTS AND MEASURES.

(Time allowed, 11⁄2 hour.)

1. Write out the tables of

Avoirdupois weight.
Troy weight.

Long measure.

Square measure.

Wine measure.

Ale and Beer measure.

2. In 42 miles, 4 furlongs, 3 poles, 4 yards, how many feet?

3. In 457,241 lbs. avoirdupois weight, how many tons, cwts. and qrs.? 4. In 640,825 seconds, how many weeks, days, &c.?

Set to Candidates for the Office of the Committee of Council for Education, and for the Constabulary in Ireland.

AVERAGES AND PERCENTAGES.

(Time allowed, 2 hours. Time occupied, from

to

.)

1. The population of five parishes being 1,236, 452, 364, 516, and 3,430 respectively, find what the population of a sixth parish must be in order that the average population of the six may be 1256.5.

2. A person has of a ship, worth 3,4847., which is insured for 913 per cent of its real value; what would he lose in case of the ship being lost? 3. The population of 3 towns in the year 1841 were 21,326, 42,324, and 6,706; and in the year 1851 it was found that the first two had increased 12 and 10 per cent respectively, and the last decreased 18 per cent; find the average population of the three towns in the year 1851. 4. If a person sells 22 articles for the same money which he paid for 36, what does he gain per cent on his outlay?

5. By selling tea at 5s. 4d. a-pound, a grocer clears th of his outlay; he then raises the price to 6s. 2d.; what does he clear per cent upon his outlay at the latter price?

6. A person sells out of the 3 per cents at 96, and invests his money in railway 5 per cent stock at 1067. 13s. 4d.; find how much per cent his income is increased.

7. Having given the following table:

find (1) the average number per mile of each class, (2) the percentage proportion of each of the three classes.

G

Another paper: —

(Time allowed, 11⁄2 hour.)

1. Find the average of 13, 27, 0, 46, 72, 86; and express the fractional

part decimally.

2. The populations of towns in the year 1841 were 20,325, 41,304, and 6,117; and in the year 1851 they had increased respectively 9, 10, and 12 per cent; find the average population of the 3 towns in 1851. 3. If goods which were bought at 21. 5s. 10d. per cwt. be sold at 21. 11s. 4d., what is the gain per cent?

4. What is the premium upon a policy of assurance for 6,4171. 14s. 2d. at 21. 12s. per cent?

5. If by selling an article at 17. 1s. 9d. a pound I gain 16 per cent on my outlay, what was its prime cost?

6. A grocer buys 3 cwt. of sugar at 5d. per pound, and 7 cwt. at 64d.; he

sells 5 cwt. at 5d. per pound; at what rate per pound must he sell the remainder in order to make 50 per cent on his whole outlay? 7. When the 3 per cents are at 913, find how much can be bought for 5401., allowing for commission per cent upon the stock bought. 8. A person sells out of the 3 per cents at 96, and invests his money in railway 5 per cent stock at par; find how much per cent his income is increased.

LAW, &c.

Used in Voluntary Examinations.

LAW OF REAL AND PERSONAL PROPERTY.

1. Explain the nature of a feoffment and of livery of seisin. Why are feoffments not now in use?

2. What is the effect of a limitation to uses since the Statute of Uses? How does the assurance called a bargain and sale operate?

3. What is the difference between the estates in land created by a gift to a man for life, and by a gift to a man for 100 years, if he so long live?

4. Define a remainder of lands. What is the meaning of the] doctrine that every limitation, which can possibly be construed as a remainder, shall always be so construed?

5. What is the effect of giving land to A (simply) in a conveyance inter vivos? What is the effect of a devise of lands to A (simply)?

6. Define an easement. When running water passes through a man's land, what is the nature of his right to the use of the water, as against proprietors lower down the stream?

7. Explain carefully the operation of a mortgage in the ordinary form. What is foreclosure, and what redemption?

8. When a mortgagee dies intestate, to whom does the estate in the mortgaged lands pass, and to whom the interest in the debt secured by the mortgage?

9. What are the contracts which, according to the Statute of Frauds, must be evidenced by writing?