3. What is the difference between of 17·163 and of of 21.194? 4. Express of of 18 of 123 as a simple vulgar fraction.

5. Find the average of the following daily barometric readings, 29 9,30 1, 30 145, 29 93, 29 01, and 28 89. Give the answer in vulgar and decimal fractions.

FEMALES.-1. I received £754 5s. for goods which cost £800; what was the loss per cent.?

2. Two pieces of cloth of the same quality contain 54 yards and 63 yards, and the longer is worth £1 7s. more than the shorter, what is the value of a third piece containing 120 yards?

3. If 6 compositors set up a work of 6 sheets in 10 days, in what time will 4 compositors set up a work of 12 sheets ?

4. If 8 men earn £9 wages for 5 days' work, how much would 32 men earn for 24 days' work at the same rate?

Grammar.-1. Point out and parse the pronouns

O still I've worn

This little tress of yellow hair

Through danger, frenzy, and despair;

It once was bright and clear as thine,

in the following:

But blood and tears have dimmed its shine.

2. What are the two forms of the possessive case of I, thou, we, you? How do we determine which is to be used?

3. Enumerate the prepositions that express relations of space, and, if you can, classify them.

Geography.-1. Draw a map of the basin of the Rhone, marking clearly its tributaries and boundaries.

2. Describe fully the physical features and present condition of Italy and the islands belonging to it. Say also how it was divided 30 years ago, and mention and describe the cities which were then capitals of different portions of it.

3. What are the great powers of Europe? How is it that they are stronger than others? Name and describe their capitals.

History.-1. Among the kings who reigned in Britain between 800 and 1066, give names and dates of the four you think most remarkable. 2. Write down the dates of Stephen, John, Elizabeth, and Anne; and name their immediate successors.

3. Name the sovereigns who were reigning in 1155, 1273, 1414, and 1510.

PUPIL TEACHERS AT END OF SECOND AND THIRD YEARS.-Arithmetic.MALES.-1. Find the simple interest of £1,465 for 7 years at 3 per cent. per annum.

2. What (a) decimal, and (b) percentage, of 1 1 dwt. ?

lb. (Troy) is

3. In how many years will £417 10s. gain £125 5s. at simple interest, 4 per cent. per annum?

4. If a man lends a friend £1,250 at 4 per cent. simple interest, and directs him to keep it till the principal and interest amount to £1,666 13s. 4d., how long will the friend have the money?

5. If I gain 11 per cent. on every egg which I sell for 1d., what sum shall I gain on 413 dozen sold at that rate?

FEMALES.-1. Simplify the following:

2. Find the value of 2 of 3 of of £158 12s.

3. The sum of two numbers is 33, and their difference is equal to of the greater; what are the numbers?

4. If it take 1 oz. of shot for a charge of a gun, how many shots can a boy have for one shilling's worth of shot at 24d. a lb. ? How much will be left in his bag after the last shot?

Grammar.-1. Point out the conjunctions in the following passage, and show what sentences they connect:

And so loud these Saxon gleemen

Sang to slaves the songs of freemen,
That the storm was heard but faintly
Knocking at the castle gate.
Till at last the lays they chanted,
Reached the chamber terror-haunted,

Where the priest, in accents holy,

Whispered at the baron's ear.-LONGFELLOW.

2. Give three instances in which the subject of a sentence is neither a noun nor a pronoun.

3. In regard to their structure, conjunctions may be divided into simple and compound; give examples of each kind.

Geography.-1. Give "Notes of a Lesson" to a Second Standard on 'Day and Night," and show how you would explain and illustrate(a) The general cause; (b) The reasons for the different amount of light and darkness at different times of the year.

2. Draw a full map of the British possessions in South Africa, and the territory adjoining them. Mark the chief towns, and (if you can) the spots memorable for events in the recent war.

3. What are the British possessions in Further India, China, and the seas between them? Say what you know of the history of each.

History.-1. How did Canute come to be King of England. What was the extent of his continental dominions?

2. What French provinces were lost to England under John? Explain how each of them came to be attached to the English Crown.

3. What efforts were made by Edward I. to extend his power within this island? How far were they successful?

Composition.-Write full notes of a lesson on Fruit Trees."
Euclid.-1. Define line, superficies, right angle, parallel line.

is the distinction between postulate and axiom?
principal parts of every proposition?

What

What are the

2. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them, of the other. What is the hypothesis in this proposition?

3. Prove that two straight lines cannot have a common segment. PUPIL TEACHERS AT END OF THIRD AND FOURTH YEAR.-Arithmetic.MALES.-1. Bought 18 cwt. 3 qrs. 24 lbs. of saltpetre at £1 6s. 10d

per cwt.; sold of it at 3d. per lb., and the other half at £1 3s. 4d. per cwt.; what sum, and how much per cent., did I gain or lose on the whole transaction?

2. A debt of £734 is to be paid, £300 two months hence, £200 six months hence, and the rest at the end of 12 months; what is the present worth of the whole, interest at 4 per cent. ?

3. Selling oysters at 3d. each I gain 5 per cent.; how much actual money, and how much per cent., should I gain or lose in selling 1,000 of the oysters for £1?

4. A man coming into an income of £1,000 a year determines, from the day on which he first begins to receive the income, to spend only

of it, and to invest the remainder at the end of each year in annuities, giving £90 for each annuity of £3. What will his income be at the end of the fourth year?

5. Two brigands, A and B, robbed a traveller of £370; if A had taken £25 more and B £25 less, A would have had of what B took. How much did each take?

FEMALES.-1. Divide 2.5 by 32; and 1 by 013.

2. Find the value of 375 of a guinea + 1875 of a crown + 3 of 7s. 6d. 875 of 2d.

3. If 1 lb. of sugar cost 0703125 of 16s., what is the value of ⚫0625 cwt. ?

Grammar.-1. Give not more than three examples of noun sentences as objects to the verb remember.

2.

My God, my land, my father, these did move
Me from my bliss of life, that Nature gave,
Lowered softly with a threefold cord of love

Down to a silent grave.-TENNYSON, Dream of Fair Women.

(a) Point out the extension of the predicate in the above. (b) Parse the words in italics. (c) Give (so far as you can) the meaning of this passage, supposed to be spoken by Jephthah's daughter, in your own words.

3. Give six examples of words containing the Latin prefix inter, and give the exact meaning of each word.

Geography.-1. Give "Notes of a Lesson" on Climate, showing particularly what parts of the earth's surface are hottest, which are the coldest, and the reason why.

2. Draw a full map of the British possessions in South Africa and the territories adjoining them. Mark the chief towns, and (if you can) the spots memorable for events in the recent war.

3. Where are Calcutta, Bombay, Simla, Jellalabad, Herat, Khiva, Astrakhan, Elburz, Ararat, and Novgorod? Describe four of them as fully as you can.

History. Give the name and date of the first Queen who reigned in England. Show that at this period all the persons nearest in blood to the throne were females.

2. In 1652-4 what interests of Holland in English affairs led to the first Dutch war? Mention the leading actions between Blake and Van Tromp.

3. How did it happen that in the eighteenth century a contest

between England and France affected the Empire of India? Sketch the career of Robert Clive.

Algebra.-1. What is an expression? When are terms said to be like? What is meant by the nth root of a quantity. Find the value of · x + √2x − § √Ĩ 4x, when = 12.

2. Divide

6x2 + 27x by } + 2x + 3x2.

3. Solve the equations:

PUPIL TEACHERS AT END OF FIFTH YEAR.-Arithmetic.-MALES.1. What amount of profit, and what per centage on the outlay, would accrue from the sale of 50,000 articles purchased at d. each, and sold at ⚫03125 of a shilling each ?

2. A sum of money amounts in 10 years at 3 per cent. per annum, simple interest, to £506 15s. 14d. In how many years will it amount to £703 16s. 6d. ?

3. If £ = 10 florins, 1 florin = 10 deniers, 1 den. 10 mils, what decimal of the English coin nearest in value would each of the abovethe "florin," the "denier," and the "mil"-be respectively?

4. An acre is sometimes roughly said to be 70 yards square. What would the error amount to, if we adopted this statement, in calculating the area of Ireland (32,450 square miles)? Give answer in decimals of square miles.

5. Three clerks, A, B, and C, in a London house are paid at the rate of 9 guineas per calendar month. A goes to New York, where he gets 10 dols. 50 cents. per week; B goes to Paris, where his pay is 7.75 francs per day; while C remains in London. Compare the yearly incomes (ie., 365 days) of the three, taking the dollar 4s. 2d., and 25 francs = £1.

::

An

6. What is meant by "buying at so many years' purchase ?" estate is bought at 25 years' purchase for £3,400 of the purchase money remains on mortgage at 4 per cent. per annum; the cost of repairs, &c., averages £9 6s. 8d. per year. What per centage of interest does the purchaser make on his investment ?

FEMALES.-1. What sum of money put out to interest for 4 years at 3 per cent. will amount to £259 7s. ?

2. A grocer mixes 13 lbs. of tea at 3s. 4d. a lb. with 5 lbs. of tea at 4s. 10d. a lb.; at what price must he sell the mixture so as to gain lid. on each lb. ?

3. If the sixpenny loaf weighs 3 lbs. when wheat is at 6s. a bushel, what ought it to weigh when wheat is at 6s. 9d. a bushel?

4. If 21 men mow 72 acres of grass in five days, how many must be employed to mow 460 acres 3 roods 8 perches in six days?

Grammar.-1. "It will be acknowledged, even by those who practice it not, that cleare and round dealing is the Honour of Man's nature; and that mixture of Falshood is like Allay in Coyne of Gold or Silver, which may make the metall worke the better, but it embaseth it."

LORD BACON.

(a) Point out any old-fashioned words or spellings to be noticed in the above. (b) Give sense of the passage in your own words. (c) Point out the adverbial and the noun sentences. (d) Parse the words in italics.

2. Give examples of names of rivers and of hills that are of Keltic origin. Account for the fact that few towns in our country bear Keltic

names.

Geography.-1. What are currents, waves, and tides? And how do they differ from each other? What are the chief currents in the

Atlantic Ocean ?

2. Give "Notes of a Lesson " on "The Native Races of America, Africa, and Australia," under these heads: (a) Appearance. (b) Habits and pursuits. (c) History and present condition.

3. Draw a full map of the basin of the Mississippi.

History.-1. What were the constitutions of Clarendon? Explain the importance of ecclesiastical disputes in the time of Henry II.

2. When and under what circumstances were our dominions extended to Scinde, the Punjaub, Hong Kong, Arracan, and Tennasserim?

3. Compare the present mode of raising and maintaining our army with that which prevailed under the Plantagenets. Which mode appears to you to be calculated to meet the strain of a prolonged war? Composition.-Write an essay on "Climate," and its influence on people's occupations and character.

Euclid.-1. A line is drawn from an acute angle of a right-angled triangle to the opposite side; prove that the squares on that side and on the line so drawn are together equal to the squares on the hypotenuse and the segment adjacent to the right angle.

2. In the fourth proposition of Book II. the main point of the demonstration is to prove that two of the figures constructed are squares. How might that have been at once deduced from a corollary in Book I.

Algebra.-If c be a common measure of A and B it will also measure mA + nB, where m, n, represents any number.

Find the G. C. M. of 4+. axs 9a2x2+11a3x

ax3 3a2x2+5a3x 2a4.

2. Solve the equation:

S11x+7y314.
15219y=0.

(1) · {

4a1, and x1

3. The united ages of a man and his wife are six times the united ages of their children. Two years ago their united ages were ten times the united ages of their children, and six years hence their united ages will be three times the united ages of the children. How many children have they?

Mensuration.-1. A diagonal of a four-sided field is 18 chains 75 links, and the perpendiculars on it from two corners are 6 chains 54 links and 7 chains 82 links. Find its rent at 12s. per rood.

2. Find (in acres, &c.) the area of a circular ring whose inner diameter is 6 chains 25 links, and outer diameter 10 chains 35 links.