(a) 11⁄2 +++; (b) 173 — — 78.

30

131

759 150' 252

2. By how much does the sum of 241, and, fall short of 4? 3. Divide £2 13s. 8d. amongst 7 men, 5 women, and 17 boys, giving each woman of each man's share, and each boy of each woman's share.

3

4. By selling an acre of land for 60 guineas, I gained of what it cost me; what did it cost me?

1. "Before a novice can commence the study of any science, he must make himself acquainted with the terms employed in that science." (a) Point out the principal and adverbial sentence in the above, and show why each is so called.

(b) Mention other kinds of subordinate sentences besides adverbial, and give an example of each.

(c) Point out, and carefully parse, the participles and auxiliary verbs in the above.

2. What are casual conjunctions? Why are they so called? Give examples.

1. Describe the course of a traveller, coming down the Seine from Paris, then sailing along the coast to the mouth of the Rhine, and going up the Rhine as far as the Lake of Constance.

2. Give notes of a lesson on Australia under these heads :- - (a) Position, shape, size; (b) British settlements and chief towns; (c) History of those settlements, with dates; (d) Reason why they are all on the coast; (e) Climate and productions.

Illustrate by a map, and refer to the map at each point of your lesson. HISTORY.-1. Upon the death of Edward the Confessor who was the next heir to the crown? What other claimants were there? Discuss their respective claims.

2. How did Henry I. come to the throne? Give the names and descent of his Queen.

3. Who was Henry V.'s Queen? What second marriage did she make, and what line of sovereigns descended from it?

Write full notes of a lesson on the sun.

EUCLID.-1. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.

What is a corollary? Give the corollary to this proposition.

2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle; these shall be less than the other two sides of the triangle, but shall contain a greater angle. What is the construction in this proposition?

PUPIL TEACHERS AT END OF THIRD AND FOURTH YEARS.-MALES.-1. On what sum will the simple interest amount to £168-778125 in 5 years at 4.5 per cent?

cent.

2. I buy 100 qrs. of wheat, and sell it again so as to gain 15 per With the money received for the wheat I buy some hay, and sell it for £259 8s. 9 d., thereby losing 6 per cent.; what did I give for the wheat?

3. If 3 per cent. more be gained by selling a horse for £83 5s., than by selling it for £81, what was the original price of the horse?

4. If 17 gals. of spirits worth 12s. a gal. are put into a vat with 25 gals. of spirits worth 15s. a gal., and 30 gals. worth 18s. a gal., how much water should be added to make the resulting mixture worth 12s. 6d. a gallon?

5. A corn merchant's prices are 25 per cent. above cost price. If he allows a customer 12 per cent. on the bill which he sends in to him, what profit does the corn merchant realise?

FEMALES.-1. Simplify the expressions

(a) 5-3·22 + 2·333 - 1.4414.

2. Find the value of 5 of a shilling + 7 of a crown +125 of a pound.

3. The price of 0625 lbs. of coffee being 4583s., what is the cost of 075 of a ton?

1. If enlargements are words and phrases attached to the nouns in a sentence, and extensions words or phrases attached to the verbs or predicates, assign all the enlargements and extensions which occur in the following to their proper classes::

(a)

(b)

The harp, his sole remaining joy,

Was carried by an orphan boy."

"Ocean and earth, the solid frame of earth

And ocean's liquid mass, in gladness lay
Beneath him.'

(c) "The sheen of their spears was like stars on the sea,

When the blue wave rolls nightly on deep Galilee."

2. Parse any participles, or verbs in the infinitive mood, which occur in the following, and give the meaning of the passage in simple words of your own :

"Blest be the art that can immortalise,

The art that baffles time's tyrannic claim
To quench it."

3. With what Latin prepositions are the words support, suffice, effect, destroy, compounded? Give the meaning of the preposition in each

case.

1. Give full notes of a lesson on Australia, under these heads :—(a.) Position, shape, size; (b) British settlements and chief towns; (c) History of the settlements with dates; (d) Reason why they are all on the coast; (e) Climate and productions.

Illustrate by a map, and refer to the map at each point of the lesson.

2. Describe a journey from the Victoria Nyanza down the Nile, and then by land to Jerusalem, the Sea of Galilee, Mount Lebanon, and the town of Acre.

1. How was Henry VII. related to Edward III.? Do you think that this relationship gave him a right to the throne?

2. Who was Oliver Cromwell? Sketch his career and character. 3. Mention some leading statesmen of the time of George III., and describe the general policy of one of them. What would you say of the King's power in that reign?

Write from memory the substance of the passage read to you by the inspector.

1. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two equal parts.

Two parallel lines cut a series of parallel lines; show that the parts of the latter intercepted by the former have their middle points in the same straight line.

2. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. What is the construction in this proposition?

1. Divide 1

+ to four terms.

PUPIL TEACHERS AT END OF FOURTH AND FIFTH YEARS.-MALES.-1. Find the cost of papering a room 12 feet high, 18 feet long, and 15 feet wide, at 4s. a square yard (labour charged extra 24d. per sq. yard), and of colouring the ceiling at 84d. per square yard.

2. Find the difference between 20-25 guineas, and the present worth of a bill for £21 10s. due in 3 months, reckoning interest at 4 per cent. per annum.

3. A sum is laid out in the 4 per cents., sianding at 102, and one half-year's dividend received upon it; the stock is then sold at 105%, and the whole increase of capital, including the half-year's interest, is £253 10s. Find the original sum.

4. A and B run a mile race; at first A runs 11 yds. to B's 10, but after A has run a mile he gets tired, and runs 9 yds. in the time in which he at first ran 11, B running at his original rate. Which will win, and by how much?

5. From of 35-919918129, take of 301-770404177. FEMALES.-1. The sum of £463 16s. is to be raised in a parish, the assessment of which is £6184; what is the rate in the pound?

2. If 858 men in 6 months consume 234 quarters of wheat, how many quarters will be required for the consumption of 979 men for 3 months?

3. Find the amount of £417 7s. 9d. for 1 year 10 months at 43 per cent. per annum.

4. A man owes three creditors, A, B, and C, respectively, £175, £210, and £265; his property is worth £422 10s.; what ought they each to receive?

1.

"He scarce had finished, when such murmur filled
Th' assembly, as when hollow rocks retain
The sound of blustering winds, which all night long
Had roused the sea, now with hoarse cadence lull
Seafaring men o'er watched."

(a.) Point out all the subordinate sentences in, and assign each to its proper class.

(b.) Parse the words in italics, and give their meaning and derivation, if you know them.

2. The following words in our language are said to be of LatinFrench origin (i.e., they are Latin words that have come to us through the medium of the French.) Show that this is so, and give examples of other words of the same kind :-charm, clear, journal, siege, treason. 3. How did words of the above character (French-Latin) find their way into our language?

1. Give notes of a lesson to an advanced class on "Trade Winds and Monsoons," and their effects on climate and navigation.

2. Draw a full map of the United States.

3. Describe, as fully as you can, Peru, Bolivia, and Chili.

1. Show how the English crown passed from the House of Normandy to that of the house of Anjou, and from the House of Stuart to that of Brunswick.

2. Who was the first English Sovereign proclaimed King of Ireland? What Irish title had been borne by his predecessors, and what was its meaning under the feudal system?

3. Who was John Wilkes? What constitutional principle was involved in the dispute about his seat for Middlesex ?

Write an essay on

sets."

"The British Empire is one on which the sun never

1. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.

2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of sections.

Divide a straight line into two parts, so that the sum of their squares may be the least possible.

1. How many minutes is it to four o'clock, if three quarters of an hour ago it was twice as many minutes past two o'clock?

1. The area of a rectangular field contains 975744 square feet, and one of the sides is 3 times as long as the other. What is the length of each side?

2. The diameter of a circle is 476 links; find its area in acres, &c.

CANDIDATES.-Males:

ANSWERS.

1. £285 15s. 4. £839 10s. 7 d. + £83,723 19s. 71d, 5. £5 17s. 3d. FEMALES:

£114 10s. 9d. 2. £7,643 17s. 1d. 3. £84,560 10s. 1d.

=

1. £7 2s. 6d. + £94 10s. + £62 10s. + £382 10s. + 2. £10,531,913 Is. 3d. 3.

144

£40 10s. + £74 5s. = £661 7s. 6d. £23,774 Os. 8d. 4. £49 17s. 983 PUPIL TEACHERS AT END OF FIRST £5,758 10s. 6d. 3. 0416 or

YEAR.-- MALES: 1. 3125.

5179 4.

2100

4. 7s. 6d.

FEMALES: 1. a., i; b., 231. 2.

woman 2s. each bey 1s. 4d.

2.

3.

1.

£41 and £191.

4. Cost price = £40 19s.

THIRD (OR FOURTH) YEAR. -MALES: 1. £750 2s. 6d. 2. £240. 3. £75. 4. 17 gals. 5. 10 per cent.

FEMALES: 1. a., 2·6686; b., 10.125. 2. Cs. 6d. 3. £61 12s.
FOURTH (OR FIFTH) YEAR.-MALES:

1. £17 12s. + 18s. 4d. + £1 1s. 3d. £19 11s. 74. 2. 52. 3. £5,330. 4. B., by 10 yards. 5.

·01383.

92

101

FEMALES: 1. 1s. 6d. 2. 155 qrs.

3. £450 17s. 3323d.

4. A.'s

share = £113 15s.; B.'s share = £136 10s.; C.'s share = £172 5s. ALGEBRA.-THIRD (OR FOURTH) YEAR.-1. 1 + x − x

FOURTH (OR FIFTH) YEAR.-1. 25. 2. 2 (+) and

MENSURATION.-1. 528 ft.; 1,848 ft. 2. 1 a. 3 r. 4 p. nearly.

To our Readers.

The Editor desires to call the attention of the subscribers to the urgent necessity of their kind co-operation to maintain the existence of the Pupil Teacher, which has now reached the sixth year of publication but which will be obliged to be discontinued unless more support is accorded to it. If each subscriber would secure one other subscriber, commencing with any number, we could hold our ground, and the young members of the profession should rally round their professional organ. This becomes more necessary than ever now that the number of Pupil Teachers is diminishing, and now that there is more than one organ in the field. The Editor will supply teachers proposing to use his educational works with specimens at half price and postage.