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Proportion. 5. Find the income tax on 7,5301. 14s. 4 d. 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 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 67 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 11. 14s. 7£d. 10. Find the dividend on 3,7621. 10s. at 8s. 2 d. in the pound. 11. Find the value of 14 oz. 8 dwt. 20 grs. of gold at 3l. 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 ?

No. 2.

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(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 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 6,0301. 14s. 4 d. at 16d. in the pound. 6. If 17 cwt. 3 qrs. 14 lbs. of barley cost 8l. 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 73

days?

Practice. 9. Find the value of 6,214 sheep, each sheep being worth 1l. 14s. 7d. 10. Find the dividend on 3,8541. 10s. at 8s. 2 d. in the pound. 11. Find the value of 16 oz. 6 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 15 feet, width 16 feet, and length 18 feet.

WEIGHTS AND MEASURES.
(Set to Tidewaiters and Weighers.)

Time allowed 1 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. ?

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AVERAGES AND PER-CENTAGES. (Set to candidates for the Office of the Committee of Council for Education, and for the Constabulary in Ireland.)

No. 1. (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 3,4841., which is insured for 91}

per cent. of its real value ; what would he lose in case of the ship

being lost?
3. The populations 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 1061. 138. 4d. ; find how much per

cent. his income is increased. 7. Having given the following table:

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

No. 2.

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(Time allowed, 11 hour.) 1. Find the average of 13, 27, 0, 46, 72, 86 ; and express the fractional

part decimally.
2. The populations of 3 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. lls. 4d., what is the gain per cent. ? 4. What is the premium upon a policy of assurance for 6,4171. 148. 2d.

at 21. 12s. per cent. ? 5. If by selling an article at 11. ls. 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 6£d.;

he sells 52 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?
7. When the 3 per cents. are at 914, 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.

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No. 3.

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(Time allowed, 1 hour.) 1. Find the average of 13, 27, 0, 32, 106, 86; and express the frac

tional part decimally.
2. The populations of 3 towns in the year 1841 were 20,325, 42,405,

and 1,423 ; and in the year 1851 they had increased respec-
tively 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. 14s. ld., what is the gain per cent. ? 4. What is the premium on a policy of insurance for 9,626l. 11s. 3d.

at 21. 12s. per cent ? 5. If by selling an article at 19s. 3d. a pound I gain 12 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

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 15 per cent. on his

whole outlay?
7. When the 3 per cents. aro at 894, 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 98, 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. (1.) 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 doc

trine 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 ? 10. Explain the nature of a bill of exchange. When it is dis

honoured, what steps must the holder take in order to perfect

his power of recovering the amount due on it ? 11. What is an act of bankruptcy ? Describe generally the nature

of the interest which passes from a bankrupt to his assignees. 12. Define the contract of insurance. What interest must the in

sured have in the subject of the insurance, in order that the contract may stand ?

(2.) REAL PROPERTY LAW (ELEMENTARY). 1. What is meant by the “quantity” and “quality” of an estate in

land ? What are the quantity and quality of the following
estates ?-

(1.) to A (simply).
(2.) to A for 100 years if he should live so long.
(3.) to A to the use of B.

(4.) to A and his heirs male for the life of B. 2. Define a “springing use," a "shifting use,” and an “executory

devise." 3. What was originally the object of creating trustees to preserve

contingent remainders ? Are such trustees useful in any case at the present moment ?

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4. What is meant by “mortmain ” ? And what is the object of the

mortmain acts ? What statute of George II. regulates charitable devises and requests, and what are its chief provisions ? Is

this statute one of the mortmain acts ? 5. What rights has the husband, during the coverture, and after his

wife's death, over (1) her fee simple ; (2) her entailed copyholds;

(3) her chattels real ? 6. What is the office of “protector of the settlement," and how long

has it existed ? 7. Mention the principal changes introduced into the law of dower

by the “ Dower Act” ? 8. In what manner is an estate in fee usually mortgaged? What

is meant by “foreclosure,” and what by "redemption” ? 9. What is a "power," and what an " appointment”? Explain the

rule that the terms of a power must be strictly followed in

executing it. 10. Distinguish between the following modes of conveyance :—a

lease and release ; a bargain and sale ; a feoffment. State whether they are all in use at the present moment, and if they

have fallen into disuse, what is the reason ? 11. Define an “easement” and a “covenant running with the land ;"

and state generally what are the principal provisions of the

“Prescription Act.” 12. What is the nature of the "action of ejectment”? Within how

many years can it be brought after the right to bring it accrued to the plaintiff?

A pur.

(3.) REAL PROPERTY LAW. 1. How many kinds of estates in fee simple are there ? How do

they differ as to quality, and what effect had the statute De

Donis on their quantity? 2. What is the principle of merger ? Give a reason for the co

existence in the same person of an estate tail and the immediate

reversion in fee. 3. In whom is the legal or equitable estate vested in the following

examples :—a bargain and sale to A to the use of B ; a demise by one seised in fee to A to the use of B; an assignment of a

term of years to A to the use of B ? 4. A man has one son A, and two daughters, C and D.

chases an estate in fee, and dies intestate and without issue.

To whom does his estate descend, and why ? 5. Explain what is meant by a nudum pactum. What is the rule of

law with reference to it, and why has the rule in question been

established ? 6. Give a definition of an indictment; and state what test you would

apply for determining whether a particular wrongful act is indictable or actionable ? Under what circumstances may an

act done give rise as well to an indictment as to an action ? 7. State concisely what is the peculiar office of the grand jury, of

the common jury, and of the judge on a criminal trial. 8. Can a written contract, not required to be in writing by the

statute law, be varied by evidence, (1) of a contemporaneous, (2) of a subsequent verbal agreement ?

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