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7 Draw an outline map showing the overland route to India. 8 Name the highest mountains in the four continents, with

their heights. 9 What are the principal uses of mountains ? 10 Mention seven colonial possessions of Great Britain, speci

fying wherein their political and commercial importance

to this country consists. 11 Describe the trade-winds, and explain their cause. 12 Describe the form of the various continents of the globe, and

show how it has influenced the national character and history of their inhabitants.

ENGLISH GRAMMAR. 1 Write down the plurals of the following substantives : penny,

staff, grief, die, sheep, wharf, spoonful, chimney. 2 Write down the past tenses and past participles of the follow

ing verbs : arise, bid, drive, load, smite, work. 3 What is meant by “ government” in grammar? What parts

of speech govern objective cases ? Give examples of each. 4 Construct sentences, exemplifying the use of the relative

pronouns in the possessive and objective cases. 5 Explain the grammatical construction of the following

sentences, pointing out and correcting any errors ; parse the words in the first, and write the second in

prose :It was me who they wished to see. “ For what we know must be, and is as common As any

the most vulgar thing to sense, Why should we, in our peevish opposition,

Take it to heart ? ” “That remarkable man, one of the few eastern sovereigns in ancient times who has earned for himself an enduring place in history, had succeeded at a very

early age to the throne of Pontus.” 6 From what languages is English derived ? Mention the

classes of words principally taken from each, with examples.

7 To what general family of languages do those alluded to in

the preceding questions belong; what others in Europe belong to the same ?

CORRESPONDENCE, With a view to establishing a branch business at Glasgow, a person is sent to make inquiries. Write a letter of instructions directing him to inform himself on the spot whether there is a demand for the class of goods [name any articles of merchandise you please]; whether there is much competition in the trade; whether other houses have succeeded, or otherwise, in it; as to home and export trade respectively; as to terms, length of credit, and mode of settlement; and any other points which may suggest themselves to you.

B. Competitive Examination for Junior Situa

tions in the Department of the Committee of Council on Education.

ARITHMETIC.

PAPER I.

1 Reduce 15 lbs. 10 ozs. 14 grs. troy to grains, and 34,677

square yards to acres, &c. 2 The length of a French metre being 39:37 inches, find the

number of solid feet and inches in a cube the length of

whose side is 2 metres. 3 If 1 cwt, be worth 141. 6s., what will be the value of I of 4 If 31.=20 thalers, 25 thalers = 93 francs, and 62 francs=25

a ton ?

gulden: find how many gulden are equivalent to one

pound sterling 5 The population of Great Britain in 1851 was 21,121,967 ;

and the increase during the previous half century had been 93.5

per

cent. What was the population in 1801 ? 6 Find by the method of practice the price of 8 cwt. 1 qr. 12

lbs. at 41. 12s. 5 d. per quarter. 7 A person who has 2,9541. in the 3 per cents. at 80ų, transfers

his capital into the 4 per cents. at 98 : find the alteration

in his income. 8 A person's average annual expenditure from the year 1833

to 1853 inclusive is 2931. 17s. 4d. He finds that in 1833 he spent 2831. 17s. 10d., and in 1854 3651. 14s. Id.; what was his average annual expenditure from 1834 to

1854 ind isive ? 9 If 20 horses and 196 sheep can be kept 18 days for 1517. 10s.,

what sum will keep 15 horses and 72 sheep for 8 days,

supposing 5 horses to eat as much as 76 sheep ? 10 Find how many yards of paper, of a yard wide, will paper

a room whose length is 26 ft. 4 in., its breadth 18 ft. 8 in.,

and its height 12 ft. 3 in. 11 If 20 lbs. 4 ozs. of tea at 5s. 10d. per pound be mixed with

46 lbs. 6 ozs. at 4s. 3d., and 35 lbs. 6 ozs. at 6s. 8d., and the mixture be sold at 6s. per pound, what will be the gain or loss, and what the gain or loss

per cent. ? 12 Find the amount of 13,3331. 6s. 8d. for 4 years at 5 per cent.

compound interest. 13 At what rate per cent. wiil 6511. 13s. 4d. amount to

7481. 12s. Ozd. in 3} years, at simple interest ? 14 Find the discount on 1261. 13s. 4d. due 8 months hence at 4

per cent. simple interest. What would be the amount of error in this case if interest were taken instead of discount,

and in whose favour would the error be?
15 Reduce to their simplest forms the expressions-

(a) $+$+3+38+
(6) 4 of 43 of 1.11.

12 114 -16 Find the sum of 375 of a guinea +2.1875 of a crown + :3 of

7s. 6d. "17-(a) Múltiply 2.7 by .27 and their product by .027.

(6) Divide 17.28 by •0144, and 42:0463 by 136.

189

18 Extract the square roots of 531441 and of 324. 19 Mention the advantage of a decimal coinage. If 11.10

florins=100 cents=1,000 mils. ; show how the addition of 8961. 5f. 4c. 7m., 3911. 5f. 7m., 231. 9c. 6m.,

would be performed. 20 Explain the nature and use of logarithms, and the advan

tages of selecting the number 10 as the base of tabular

logarithms. 21 Having given log. 6:231 = •794767 and log. 6.235

-794836, find log. 623472, and the number whose logarithm is 2.794800.

PAPER II,

N.B. It is strongly recommended that no candidate who finds that he can employ his time advantageously on the other paper should attempt any question in this. 1 Multiply 47511. 178. 4d by 34. 2 Multiply 16471. 8. 2}d. by 635. 3 Divide 106397320524 by 12. 4 Divide 8740434091488 by 876. 5 Divide 759191. 11s. 7d. by 7. 6 Divide 6113601. 5s. 8d. by 623. 7 Write in figures (1) ninety thousand and forty, (2) three

hundred and four million forty thousand and four. 8 There are two mountains such that if 126 feet are added

to four times the height of the lower one, the sum is half the difference between their heights; given that the lower one is 441 feet high, find the height of the

other. 9 What is the length of the longest day at a place where the

sun rises on that day at 3h. 49m. 51s. ? 10 How many entire days have elapsed since the opening of the

Great Exhibition in Hyde Park?

CALCULATION OF AVERAGES. The two Tables annexed give :(1) The total number of contributors to the Income Tax under

Schedule D, arranged in 17 Classes. (2) The Aggregate amount of Incomes in each Class.

£ Under 150 150 to 200 200 to 300 300 to 400 400 to 500 500 to 600 600 to 700 700 to 800 800 to 900

900 to 1,000 1,000 to 2,000 2,000 to 3,000

to 4,000 4,000 to 5,000

to 10,000 10,000

to 50,000 50,000 and upwards

3 5 7 5 1
3 9 3 9 7
3 0 3 1 8
1 4 9 1 3

7 2 2 7
5 4 9 3
308 3
2 1 6 5
1 6 9 3

8 7 7
5 3 0 2
1 5 39

7 4 5 4 2 1 7 96 3 7 4

20

£
2 7 1 3 5 6 1
61 9 5 0 3 8
6 7 5 0 9 0 0
4 7 8 7 0 6 1
3 0 6 2 1 9 9
2 8 3 0 6 7 6
1 9 1 2 0 7 3
1 5 7 7 1 8 5
1 4 0 1 6 2 6

8 1 5 9 2 6
6 9 3 2 9 9 1
3 5 4 0 8 7 7
2 4 6 7 9 5 7
18 1 3 9 20)
5 2 9 1 2 5 8
6 5 8 2 6 2 6
1 4 3 1 2 4 2

3,000

5,00)

Totals

Calculate :

(1) The Average Income of Persons in each Class.
(2) The General Average Income of all Persons contri-

buting to the Income Tax under Schedule D.

BOOK-KEEPING.

ELEMENTARY.

1 What is the meaning of the terms “debit” and “ credit" ? 2 Which side of an account book is allotted to debit accounts,

and which to credit accounts ? 3 What is the balance of an account?

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