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GEOMETRY AND MENSURATION.

Two hours allowed for this paper.

N.B.-Only five questions to be attempted, of which two and not more than three must be in Section B. The Examiner will read only the first five answers left uncancelled. The questions in this paper are all of equal value.

Mr. J. Ross, Senior Inspector.

Mr. J. CHAMBERS, District Inspector.

SECTION A.

1. Upon the same base and on the same side of it there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity equal to one another. Prove only the case where the vertex of one triangle falls without the other triangle.

2. If two angles of a triangle be unequal the greater angle has the greater side opposite to it.

3. If a straight line fall upon two parallel straight lines it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles.

4. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

5. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel.

SECTION B.

6. Find the length of the side of an isosceles triangle whose area is 48 square feet and base 6 feet.

7. Two poles standing upright on a horizontal plane, are respectively 68 feet and 90 feet 6 inches in height, and the length of a wire connecting their tops is 37 feet 6 inches; find their distance apart on the horizontal plane.

8. The diagonal of a square room is 24 feet; find the cost of covering it with carpet, 45 inches wide, at 78. 6d. per yard. 9. ABCD is a quadrilateral: AB = 48 chains, BC = 20 chains, the diagonal AC 52 chains, and the perpendicular from D on AC 30 chains find the area in acres.

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10. A room is 24 feet long, 15 feet broad, and 11 feet high: find the expense of painting the four walls at 3d. per square foot, allowing for a fireplace which is 4 feet 6 inches by 3 feet, a door which is 7 feet by 4 feet, and two windows, each 6 feet 6 inches by 5 feet.

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FREEHAND DRAWING.

Time allowed, 1 hours.

Dr. ALEXANDER, Senior Inspector.
Mr. BEVIS, Head Organiser.

Draw by means of a ruler, and according to figured dimensions, the frame shown below. Copy (freehand) within this frame, the design given, keeping the same proportion between it and the frame as is shown in the example. (India-rubber should be very sparingly used, if at all; marks will be deducted for excessive use of it.)

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As a test of proficiency in this branch candidate will have to execute, on material supplied by Superintendent, a specimen of each

of the following:-stitching a buttonhole (barred at one end, rounded at the other); sewing on gathers (also known as "stocking-on"). One buttonhole and one inch of each of the stitches will be accepted as a sufficient amount of work, and candidate will do well not to attempt more, as she would thereby occupy time required for the other branches of this subject. A small patch (about one inch and a half square) is to be tacked on, top-sewn round one-quarter of the outer, and hemmed round one-quarter of the inner side of the patch, so as to complete one corner of it. Candidate's examination number is to be plainly marked upon an unworked portion of the specimen.

KNITTING AND DARNING.

Candidate, having provided herself with a piece of knitting in progress, viz., the leg of a baby's sock, with heel begun, is required to turn and complete this heel in the presence of the Superintendent, picking up stitches for foot, and knitting three or four rounds of it. The sock should have securely stitched to it a label about one inch broad, and one and a half inches long, of white tape or calico, clearly marked with candidate's examination number. Before beginning to turn the heel of the sock, candidate will present it to the Superintendent to be marked by him. (The candidate must be careful not to neglect doing this.)

The Superintendent will supply candidate with a small piece of stocking web, which, for convenience of working, she can tack (right side down) upon paper, cutting a square out of the middle of the paper to enable her to see the progress of the darn upon the right side as she works from the wrong. She is to darn a round hole, not smaller than a threepenny piece nor larger than a sixpence, running the darn in each direction. to about half an inch beyond the hole, and leaving short loops for shrinkage. Both sock and darn, when finished, are to be attached, by a few strong stitches, to the specimen of sewing.

CUTTING-OUT.

Paper for this test will be supplied. The specimen is to be tacked together with needle and thread; no pins are to be left in it.

Candidate is required to cut out a boy's shirt (which may be half size only, if preferred, but must not be a half shirt) On this she will mark distinctly her examination number.

She is requested to comply as exactly as possible with all requirements mentioned above.

V.-QUESTIONS set to candidates for certificates of competency to teach Extra branches.

LATIN.

One hour and a half allowed for this paper and for the oral translation of Latin passages into English.

N.B.-Only three questions are to be attempted, one from Section A, and two from Section B. The Examiner will read only the translation and the first two other answers left uncancelled.

Mr. STRONGE, Senior Inspector.

Mr. DICKIE, District Inspector.

SECTION A.

1. Translate into Latin :-
:-

For neither have

The Germans differ much from this custom. they Druids to preside over divine matters, nor do they devote themselves to sacrifices. They rank in the number of the Gods only those whom they see, and by whose aid they are openly assisted the rest they do not accept even by common report.

2. Translate into Latin:

(a.) I told your brother that I had seen him.

(b.) This is my opinion, but it is possible that I am wrong. (c.) On the death of his father he succeeded to the property and built a new house.

(d.) The Roman law gave a father extraordinary power over his children,

(e.) The general forbade the soldiers to leave the camp on pain of death.

SECTION B.

3. Explain the construction required by

(a.) Quin.

(b.) Quominus.

(c.) Verbs of promising.
(d.) Verbs of commanding.

4. (a.) Decline the following nouns :- usus, pedes, gens, colluvies.

(b.) Conjugate the following verbs :-adipiscor, fio, coquo, sedeo, spondeo.

(c.) Compare the following adjectives :-malus, frugi, acer.

5. Express in Latin :—

(a.) My brothers and sisters love one another.

(b.) A thousand soldiers, ten thousand soldiers.

(c.) He is better than his brother, but inferior to his father.

6. (a.) Give two verbs which govern the dative and two which govern the ablative.

(b.) Explain the various Latin constructions for expressing (1) motion to a place, (2) rest in a place.

FRENCH (Men).

One hour and a half allowed for this paper.

N.B.-Only five questions are to be attempted, one at least from each Section-A, B, and C. The Examiner will read only the first five answers left uncancelled. The questions in the paper are all of equal value.

Mr. DALY, Senior Inspector.
Mr. KEITH, District Inspector.

SECTION A.

1. Translate into English:

Tout

Lise ne savait pas lire, mais en me voyant plongé dans les livres aussitôt que j'avais une heure de liberté, elle eut la curiosité de savoir ce qui m'intéressait si vivement. d'abord elle voulut me prendre ces livres qui m'empêchaient de jouer avec elle; puis, voyant que malgré tout je revenais à eux, elle me demanda de les lui lire. Ce fut un nouveau lien entre nous. Repliée sur elle-même, l'intelligence toujours aux aguets, n'étant point occupée par les frivolités ou les niaiseries de la conversation, elle devait trouver dans la lecture ce qu'elle trouva en effet une distraction et une nourriture.-MALOT.

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