Euclid and Algebra.

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SECTION IX. 1. Explain as for a class :

(1) Long division; or,

(2) Practice; or,

(3) What are vulgar fractions ?

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EUCLID AND ALGEBRA.

Male Candidates.

EUCLID.

Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another.

2. Draw a straight line perpendicular to a given straight line of an unlimited length from a given point without it.

3. If from the ends of the 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.

4. Parallelograms upon the same base, and between the same parallels are equal to one another.

5. Describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle.

6. Find a point in a given straight line, such that its distance from two given points shall be equal.

ALGEBRA.

1. Add together 523-3x+2y;-x3+2x-y; 7x3-4x +3y.

2. From 2x+11a+10b-5c-23; take 2c-10+5a-3b. 3. Multiply 9a2+3xy+y2-6x+2y+4 by 3x-y-2. 4. Divide 3-5x2-x+14 by x2-3x-7, and x2—(a+b)x +ab by x-b.

5. Solve these equations :—

(1) (x+1)+(x+2)−16+1(x+3)=0.

6. A farmer has a number of hurdles, 6 feet long; he finds that by arranging them so as to enclose a given space of ground, if he place them 1 foot distant from each other, he has not enough by 80; but if he place them a yard apart he has 50 hurdles to spare; how many hurdles has he?

DOMESTIC ECONOMY.

Female Candidates.

SECTION I. (Household Work.) 1. Name any household work which you have been accustomed to do, either at home, or in your elementary school; and describe the method in which you have been instructed to do this work.

2. What do you understand by the term "Domestic Economy"? What instruction have you received upon this subject, either as pupil teacher, or, if not a pupil teacher, from any person previous to this examination?

3. Describe the duties of an under nursemaid, and show in what way these duties differ from those of a maid of all work.

SECTION II. (Investment.) Describe simply and plainly, as in a letter to a pupil teacher, either,

1. The advantages of the system carried out in the post office savings bank; or,—

2. The special benefit to be derived from any other secure mode of investment for persons of small and limited means.

SECTION III. (Cooking.) 1. State briefly the cost, the time required, and the method of cooking three of the following: a mackerel, a poached egg, a potato pie, a rice pudding, a mutton chop, a rasher of bacon.

2. Name six inexpensive and yet nutritious dinners for children attending our elementary schools; state the cost of the same, and the amount of materials required in the preparation of each.

SECTION IV. (Sickness.) 1. In what way have you been taught to relieve any of the school children suffering from the following causes: a burn, a bruise, a severe cut, an attack of fainting, bleeding at the nose, chilblains P

Dictation and Penmanship.

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2. State the cost and the method of making lemonade, barley-water, gruel, and arrowroot; name any inexpensive method of fumigating a sick room; and describe any simple way by which to ventilate the

same.

SECTION V. (Clothing and Washing.) 1. What amount of coloured print is required for a child's frock (age of girl 12 years) ? Mention any other material, with the cost, and the quantity wanted to complete a dress.

2. What are the special advantages in woollen material for clothing? Is any special care required in washing woollen articles ?

3. What instruction have you received in laundry work? Name the different articles which would be required for washing, and the cost.

DICTATION AND PENMANSHIP.

TWENTY MINUTES allowed for these Exercises.

You are not to paint your letters in the Copy-setting Exercise, but to take care that the copy is clean and without erasures Omissions and Erasures in the Dictation Exercise will be counted as mistakes.

The words must not be divided between two lines; there is plenty of room for the passage to be written.

Write in large hand, as a specimen of Penmanship, the word Organization.

Write in small hand, as a specimen of Penmanship,

the sentence

"Persevere in the straight path of duty."

DICTATION.

You are to write the passage dictated to you by the Examiner, and punctuate it correctly.

For Male Candidates.
(A,.)

"No book was ever turned from one language into

The passages A1, A2, were given alternately where the number of Candidates was large and there was danger of copying.

another without imparting something of its nativo idiom; this is the most mischievous and comprehensive innovation; single words may enter by thousands and the fabric of the tongue continue the same, but new phraseology changes much at once, it alters not the single stones of the building, but the order of the columns."-S. JOHNSON.

(A2.)

"His published writings give but a brief and inadequate picture of his varied talents; yet they are so highly finished and display such a combination of different powers-of logical precision, metaphysical acuteness, practical sense and sagacity, with a rich and luxuriant imagination, and all the graces of composition -that they must be considered among the most valuable contributions made to modern literature."

For Female Candidates.
(A1.)

CHAMBERS.

"It will be seen that the House of Commons became altogether ungovernable, abused its gigantic power with unjust and insolent caprice, browbeat King and Lords, the Courts of Cornmon Law and the constituent bodies, violated rights guaranteed by the great charter, and at length made itself so odious that the people were glad to take shelter under the protection of the throne and of the hereditary aristocracy, from the tyranny of the assembly which had been chosen by themselves." MACAULAY'S HISTORY.

(A,.)

"His plan, though as yet declared to the public only by glimpses, was applauded by all classes, factions, and sects, lords, merchants, advocates, divines, Whigs, and Jacobites in truth, of all the ten thousand bubbles of which history has preserved the memory, none was ever more skilfully puffed into existence; none ever soared higher, or glittered more brilliantly; and none ever burst with a more lamentable explosion: there was, however, a certain mixture of truth in the day-dream which produced such fatal effects." MACAULAY'S HISTORY

SCHOLARSHIP QUESTIONS,

1871.

NOTE.-Except where different directions are printed, the time allowed for each Paper in the following series was three hours. Candidates were restricted to one question in each section.

GRAMMAR.

Candidates are not permitted to answer more than one question in any section, except in that headed "Latin." Candidates must not, however, confine themselves to the questions on Latin Grammar, they must answer at least four questions in the other part of the Paper, and not more than three questions in the Latin Section.

SECTION I. 1. Parse the words printed in italic in the following passage.

"Property, both in land and movable, being thus originally acquired by the first taker, which taking amounts to a declaration that he intends to appropriate the thing to his own use, it remains in him, by the principle of universal law, till such time as he does some other act which shows an intention to abandon it; for then it becomes, naturally speaking, of public right once more, and is liable to be again appropriated by the next Occupant."-BLACKSTONE.

2. Write down all the verbs and participles in this sentence, and classify them; explaining how they are used.

3. Write down all the pronouns in the passage, arrange them in classes, showing in each case what is the noun for which the pronoun stands.

SECTION II. Analyse one of the two following sentences:

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'Courage that grows from constitution very often forsakes a man when he has occasion for it; and when