own words, the meaning of the first four lines (from "Ye" to "Heaven.")

2. What is the force of the Latin prepositions in the following words compounded with them:-Succour, supplant, depart, despise, differ, transfer. State what the preposition is in each case.

3. Parse each word in the following:-"England has had many heroes, but never one who so entirely possessed the love of his fellowcountrymen as Nelson."

1. Give notes of a lesson on "The Overland Journey to India," by Brindisi and the Suez Canal. Illustrate your lesson by a map of the Red Sea.

2. Name the chief rivers of Africa, and describe the sources and course of each, as far as they are known.

3. Name four important towns in Hindostan, not including Calcutta, Bombay, or Madras; and describe minutely the position and character of each.

1. What do you understand by Cavaliers and Roundheads? Explain the leading principles of the two parties.

2. Give some account of the wives of James II. and their issue. 3. When, and under what circumstances, was the Battle of Inkerman fought?

1. The sum of the angles of every figure is equal to an even number of right angles.

2. 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.

1. Divide 23
2. Simplify:--

8y3 + 125z3 + 30xyz by x - 2y + 5z.

2x+1 3x

PUPIL TEACHERS AT END OF FOURTH YEAR.-1. If simple interest at 5 per cent. per annum be allowed, in how many years will £102 10s. amount to £115 3s. 81d.?

2. By investing £1,400 in the 3 per cents. I gain 4 per cent. on my outlay. How much stock do I buy, and what is the price of it? 3. What per cent. of 323 is the square root of that number?

4. If tea be sold in lb. packets only, how many packets must I purchase that I may supply 80 persons with 076923 of a pound each; and what vulgar fraction of my whole purchase will be left ?

5. A man buys 27 copies of a work for £30, and sells 4 of them at a loss of 3 per cent. He sells the remaining copies for £17.816; how much per cent does he gain or lose by the whole transaction?

1. Find the amount of £411 19s. for year at 43 per cent.

2. If a man can reap 345 square yards in an hour, how long will 7 such men take to reap 6 acres?

3. A tax of £530 is to be raised from three towns, the numbers of the inhabitants of which are respectively 2,500, 3,000, and 4,200. How much should each town pay, and each person in it.

4. Between the years 1821 and 1831 the population of a town increased by 22 per cent., and in the latter year it was 61,116. What was it in 1821 ?

1. Break up the following complex sentence into simple sentences, beginning a new line with each simple sentence:

All crimes shall cease and ancient frauds shall fail,
Returning justice lift aloft her scale,

Peace o'er the world her olive wand extend,

And white-robed Innocence from heaven descend."

2. Parse the verbs and participles in the above.

3. What conjunctions should be followed by the subjunctive mood? Give four examples, using a different conjunction in each.

4. Point out which of the following words are of Keltic, and which are of Saxon origin; and state what class of things generally have Keltic names :-Sheep, ship, bread, milk, basket, mop, mattock, pail. 1. Draw a full map of British North America, showing the physical features, and the exact position and boundaries of each colony.

2. Give notes of a first lesson on "The Ocean" to an intelligent first class, who know the position of each ocean, &c., but have learnt nothing else. N.B.-No introduction; and do not put more matter into your notes than you could bring within the limits of one lesson.

1. How far may any of our existing institutions be traced up to Saxon times?

2. What parts of North America are under the British Crown? Tell how we acquired them, and explain the improved feeling shown. towards this country.

3. What event is known in our history as the retreat from Cabul? Give some account of it, and of the retribution exacted. Write an essay on "The House of Lords." 1. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts, together with the square on the aforesaid part.

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 section.

3. The sum of the squares on the sides of any quadrilateral figure is equal to the sum of the squares on its diagonals, together with four times the square on the line joining the middle points of the diagonals. (In solving this problem it may be assumed that in every triangle the sum of the squares on two of the sides is equal to twice the square on half the base, together with twice the square on the line drawn from the vertex to the middle point of the base.)

1. Find the cube root of 8a6

3. Find the time between 4 and 5 o'clock at which the hour and minute hands of a watch are together.

1. The extremity of the minute hand of a clock moves 5 inches in 34 minutes, what is its length?

2. A ladder 38 feet long just reaches to a window 29 ft. 6 in. high on one side of a street; on turning the ladder over without moving its foot it reaches a window 28 feet high on the other side; find the breadth of the street.

ANSWERS.-CANDIDATES.-1. £64 5s. 14d. 2. £13 17s. 4d. 3. 42 men. 4. £801 12s. 10d.

1. £70,504 8s. 6d. 2. £113 19s. 011d. 3. £228,378 0s. 41d. 4. £103 3s. 6d.

ANSWERS. FIRST YEAR.-1. 2oz. 2. £2 16s. 61d. 3. 2s. 91d. 4. £8 10s. 5.652d.

61

1. 3 farthings. 2. 4 lb. 3. £208 18s. 6d. 4. £50 16s. 8d. ANSWERS. SECOND YEAR.-1. £377 4s. 2. 11 years. 3. £3 lis. 6d. 4. £45 10s.

1. 2,548 2.10 3. £1 2s. 4.

183.

1. Is really a part of Euc. IV. 5. 2. Euc. I. 16. 3. Euc. I. 26.

ANSWERS. THIRD YEAR.-1. £560 12s. 6d. 2. £450; £900; £1,350.

3. £109 2s. 6d.; £12 2s. 6d. 4. 903.

10

1. 4,360. 2.1%; 9. 3. 15 35 miles. 1. Euc. I. 32, Cor. 1. 2. Euc. I. 34.

1. x2+2xу5xz + 4y 3. (1) 9. (2) a = 1.

4. 37

240'

10yz + 25z3.

2. (1) 0; (2)

x2 + 2 + 1 (x2+1)2

ANSWERS.-FOURTH YEAR.-1. 2 years. 2. £1,800 at 77%. 3. 171 per cent. 4. 64 lbs.; 26. 5. Gain 2 per cent.

1. £416 10s. 31 d. 2. 12 hours. 3. £136 11s. 114 d.; £163 18s. 437d.; £229 9s. 83d.; each person pays 1s. 1d. 4 500951 i.e., really 50,096.

1. Euc. II. 3. 2. Euc. II. 9. 3. Join BF, DF. Because AC is bisected in F. sum of sqq. on AB and BC equals twice sqq. on AF and BF; and the sum of sqq. on AD and DC equals twice sqq. on AF and DF; . sum of sqq. on the 4 sides equals 4 times sq, on AF with twice sqq. on BF and DF; or to 4 times sq. on AF with 4 times sqq. on BE and EF, since E is middle point of the base BD of BDF; also the sq. on AC is 4 times sq. on AF, and sq. on BD is 4 times sq. on BE.

1. 2a2.

3x2. 2. (1) 144, y = 216; (2) 3 or -81. 3. 21 minutes past 4.

1. 14.7 inches nearly. 2. 49 65 feet, nearly.

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