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SECTION VI.

1. Some of the principal feats of the British Navy.

2. The causes which have made England a great commercial nation, and a great colonizing

nation.

*3. The principal statesmen of the reign of George IIl., and the school of politics to which they belonged.

SCHOOL MANAGEMENT.

SECTION I.

1. In teaching very young children to read, four methods are described the alphabetic, phonic, look-and-say, and phonic analysis. Describe each of them, and mention their advan tages and defects.

2. Is the rule 'Read as you speak' a safe one under all circumstances? Discuss the question.

3. How can you excite ambition to excel in reading in advanced classes? Show that it is necessary to acquire some knowledge of grammar and analysis in order to become a good reader.

SECTION II.

1. Give an account of all the ways you know for teaching correct spelling.

2. Give a scheme of a good dictation lesson for an advanced class.

3. How would you correct the transcriptions of a large class preparing for examination in Standard II.?

SECTION III.

1. Why do boys who write well on slates most frequently write badly when they begin to write on paper?

2.-What are the advantages and disadvantages of mechanical aids in learning to write? Specify some of them, and discuss their value.

3.-Describe the kind of writing you would try to secure in your upper classes; and write down directions to a boy about addressing a letter.

SECTION IV.

1. Write down the requirements under each Standard in Arithmetic. In which case is the step greatest ?

2. State the advantages of mental arithmetic. State how you would employ it when beginning to teach a new rule. Point out the use of the ball-frame with beginners.

3. In multiplying one number by another, show (as to an upper class) that it does not matter in what order the figures of the multiplier are taken. Then explain why we generally begin with the right hand figure, and in what cases it will be most convenient to begin with the left hand figure. Give Examples.

SECTION V.

1. To what extent should 'Learning by Heart' be enforced upon children? In your answer, discriminate between children of different ages.

2. When children repeat aloud what they have learned by heart, what faults must be watched for? and what benefits can you secure from this exercise ?

SECTION VI.

A very common fault in giving lessons is the rigidity with which the teacher insists on getting some particular word to express an idea which it is clear the child really has acquired. Point out the evils which may result from this, and explain how the teacher should avoid the fault, and yet secure the desired result.

SECTION VII.

N.B.-If you are proceeding to a Second year's residence, state the fact, and omit this Section. What are the registers required to make accurate returns to the Committee of Council in inspected schools ? Give a specimen page of each.

How do you find the average attendance for the year?

ARITHMETIC.

Two hours and a HALF allowed for this Paper.

Students are not permitted to answer more than one question in each Section.

Acting Teachers may, but need not, confine themselves to the questions marked with an anterisk (*).

The solution must in every instance be given at full length. A correct answer, if unaccompanied by the solution, or not obtained by an intelligible method, will be considered of no value.

SECTION I.

*1. Express in figures these numbers.-Seventy thousand and seven; nine thousand six hundred and eight; forty thousand nine hundred and seventy. Add them together, and take ninety-nine thousand and ninety-seven from the sum.

2. Make a receipted bill of the following articles in the proper form (as a model specimen for children):-7oz. at 91d. an oz.; 13 lbs. at 1s. 2d. per lb.; 24 yds. at 11d. a yard; 4 doz. at 1s. 3d. per dozen.; 2 cwt. 1 qr. at 9s. per cwt.

*3. A bankrupt owes £78; his assets are £53; if the creditors only get 7s. 6d. in the £., what was the amount of expenses incurred in settling the claims?

*4. Write out the Table of Long Measure. How many seconds are there in 74 days 19 hours 38 minutes P

*5. The cost of covering a roof 18 yds. by 4 yds. amounted to £27; how much was that per square foot ?

*6. If a postmaster is allowed 1 per cent. profit on selling postage stamps, what is his gain on a sheet of 120 penny stamps ?

SECTION II.

1. Multiply 31,472 by 974; divide the product by 583. What must be taken from the quotient to leave exactly 100 P

*2. Divide £16 among 18 persons. If the same sum were divided among 24 persons, what would be the difference of the share given to each ?

3. Find the least common multiple of 12, 16, 20, and 30.

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*2. What fraction of 3 cwt. 1 qr. 17 lbs. 3 oz. is of a ton? 3. The price of gold in this country is £3 17s. 104d. per oz. 0013 of an cz. ?

SECTION IV.

*1. Find the value of ⚫0135 of £25. 10s. 6d.

What would be the price of

2. At what price must silk which cost 4s. 34d. a yard be sold in order to gain 12 per cent. P

3. A man rows a distance of 1 mile down a stream in 20 minutes; without the aid of the stream, it would have taken him half an hour. What is the rate of the stream per hour? and how long will it take him to return against it?

SECTION V.

*1. A rate of 2s. 9d. in the pound produces £352; what is the rental of the parish P

2. A clock gains 5 minutes a day; if it be right at noon to-day, what will be the real time when the clock points to noon to-morrow?

3. If the rent of a farm 17 acres 3 roods 3 poles be £39. 4s. 7d., what would be the rent of another farm containing 26 acres 2 roods 23 poles, if 6 acres of the former be worth 7 acres of the latter P

SECTION VI.

1. Cut a piece of wood equal to a cubic foot in bulk from a plank 10 inches wide and 4 inches thick.

*2. Explain the metrical system of weights and measures.

3. A, B, C. setting out from the same point in a circle, travel at the rates of 9 miles, 12 miles, and 8 miles respectively. How many times will B have gone round the circle, before all three travellers meet again ? The circumference of the circle is 100 miles.

SECTION VII.

*1. Find simple interest on £38. 9s. 11d. at 33 per cent. per annum for 215 days.

2. A lb. of tea and 6 lbs of sugar together cost 7s. 6d. ; if tea were to rise 50 per cent.,

and sugar fell 12 per cent., they would cost 8s. 9d. What is the price of each ?

3. Sugar being composed of 49.856 per cent. of oxygen, 43.265 per cent. of carbon, and the remainder hydrogen, find how many lbs of each of these materials there will be in a ton of sugar.

GRAMMAR AND COMPOSITION.

Every Candidate is required to paraphrase one passage and to do the parsing.

COMPOSITION.

This Section, if the question taken from it be well answered, carries 60 marks out of 100 for the whole Paper. Some part at least of Sections II.-VII. must be answered also. See above as to Paraphrase and Parsing (Section V.)

SECTION I.

1. Write a short account of the descent of Eneas to the infernal regions; or, Describe the scheme of Heber's Poem-Palestine.

*2 Write an account of any place of interest you have visited; or, of any manufacture you are acquainted with.

GRAMMAR.
SECTION II.

1. Classify the letters of the alphabet, and point out the use which may be made in etymology of such classification.

2. Adjectives are said to qualify nouns, and adverbs to modify verbs. Explain the difference between the words in italics, and give illustrations.

3. Explain the use of the auxiliary verbs to have' and to 'be' in expressing voice and tense.

SECTION III.

*1. Give rules for dividing words into syllables.
2. Enumerate the distributive and indefinite pronouns.
3. What concords exist in English grammar ?

SECTION IV.

*1. Decline honor, honoris, throughout.

2. Decline in full ambo, unus, duo, tres.

3. Write out the present subjunctive, active and passive, of moneo; or vola.

SECTION V.

*Paraphrase one of the following passages, and parse the words in italics :

Or,

་་

Reft of thy sons, amid thy foes forlorn,

Mourn, widowed Queen, forgotten Sion, mourn!

Is this thy place, sad city, this thy throne,

Where the wild desert rears its craggy stone;

While suns unblest their angry lustre fling,

And way-worn pilgrims seek the scanty spring?

Where now thy pomp, which kings with envy viewed P
Where now thy might, which all those kings subdued ?
No martial myriads muster in thy gate;

No suppliant nations in thy temple wait;

No prophet bards, thy glittering courts among;
Wake the full lyre, and swell the tide of song:
But lawless force, and meagre want are there,
And the quick darting eye of restless fear,
While cold oblivion, 'mid thy ruins laid,
Folds his dank wing beneath the ivy shade."

HEBER'S PALESTINE.

"The chief beheld their chariots from afar,
Their shining arms, and coursers trained to war.
Their lances fixed in earth, their steeds around,
Free from their harness, graze the flowry ground.
The love of horses which they had alive,

And care of chariots, after death survive.
Some cheerful souls were feasting on the plain:
Some did the song, and some the choir, maintain.

Beneath a laurel shade, where mighty Po

Mounts up to woods above, and hides his head below.
Here patriots live, who, for their country's good,
In fighting fields were prodigal of blood:

Priests of unblemished lives here make abode,
And poets worthy their inspiring god;
And searching wits, of more mechanic parts,
Who graced their age with new-invented arts."

DRYDEN'S VIRGIL'S ENEID, B. VI.

SECTION VI.

*Re-write in prose one of these passages, changing and inserting only such words as you think necessary to make the sense clear. Explain allusions where necessary in a side note:"Ah! fruitful now no more, an empty coast,

Or

She mourned her sons enslaved, her glories lost:
In her wide streets the lonely raven bred,
There barked the wolf, and dire hyænas fed.
Yet midst her towery fanes, in ruin laid,
The pilgrim saint his murmuring vespers paid;
'Twas his to climb the tufted rocks, and rove
The chequered twilight of the olive grove;
'Twas his to bend beneath the sacred gloom,
And wear with many a kiss Messiah's tomb:
While forms celestial filled his tranced eye,
The daylight dreams of pensive piety,
O'er his still breast a tearful fervour stole,
And softer sorrows charmed the mourner's soul."
HEBER'S PALESTINE.

"This active mind infused through all the space,
Unites and mingles with the mighty mass.
Hence men and beasts the breath of life obtain,
And birds of air, and monsters of the main.
The ethereal vigour is in all the same:
And every soul is filled with equal flame,
As much as earthy limbs and gross allay
Of mortal members, subject to decay,
Blunt not the beams of heaven and edge of day.
From this coarse mixture of terrestrial parts,
Desire and fear by turns possess their hearts;
And grief, and joy: nor can the grovelling mind,
In the dark dungeon of the limbs confined,
Assert the native skies or own its heavenly kind:
Nor death itself can wholly wash their stains:
But long-contracted filth even in the soul remains."
DRYDEN'S VIRGIL'S ENEID, B. VI.

1. Explain these passages: (Of the Sun.)

SECTION VII.

His watery rays refracted lustre shed.'

(Of the Moon.) Curbed her pale car, and checked her mazy round.'
(Of the Temple.) 'Like some tall palm the noiseless fabric sprung.'
The wandering hermit waked the storm of war.'

'E'en the pale Crescent blessed the Christian's might.'

And these words, which occur in Heber's Palestine; give derivation and meaning:-
Renegade, gaunt, vigil, dauntless, perchance, sultry, carnage, diadem.

What places are meant by these designations:

Estakhar, Sofala, Tabaría, Almotana, Ardeni, Lusitania ?

2. Explain these passages (in Dryden's Virgil's Eneid, B. VI.):

(1) A new Achilles shall in arms appear,

And he, too, goddess-born.

(2) The Furies' iron beds; and strife that shakes

Her hissing tresses, and unfolds her snakes.

(3) Thinkst thou, thus unintombed to cross the floods,

To view the Furies and the infernal gods ?

(4) Cæneus, a woman once, and once a man,

But ending in the sex she first began.

And these words

Holocaust, the barking porter, irremeable, ambuscade, adamantine, ether, auspicious,

canister,

EUCLID.

Acting Teachers are not obliged to take this Paper.

SECTION I.

1. Give a sketch of a Lesson on Geometry, such as you would give to a class commencing Euclid.

2. If two angles of a triangle be equal to each other, the sides also which subtend or are opposite to the equal angles are equal to one another. How would you illustrate this proposition to a learner ?

3. Bisect a given rectilineal angle.

Why may not the vertex of the equilateral triangle in the construction be on the same side of its base as the vertex of the given angle ?

1. Bisect a given finite straight line.

SECTION II.

If equilateral triangles A B C, A B D, be described on opposite sides of A B, and C D be drawn meeting A B in E, show that E is the middle point of Ä B.

2. If one of the sides of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles.

Take for demonstration the case in which the exterior angle is contained by the base, and and one of the other sides produced.

3. The greater side of every triangle has the greater angle opposite to it. How is the converse of this proposition proved

called Reductio ad absurdum.'

SECTION III.

Explain the force of the reasoning

1. Make a triangle whose sides shall be equal to three given straight lines, which are such that any two of them together are greater than the third. Explain the necessity for the condition as to the magnitude of the lines, and show by geometrical figures what would happen if the line were (1) in the ratio of 2, 3, 5; (2) in the ratio of 2, 3, 6.

2. At a given point in a given straight line make an angle equal to a given rectilineal angle. Given an acute angle, one of the sides containing the acute angle, and the difference of the other two sides, construct the triangle. Is any limitation of the size of the difference' necessary?

3. Draw a straight line through a given point parallel to a given straight line.

4. In the triangle A B C, the angles at B, C are equal; from any point in B C draw lines parallel to the other sides, and show that the perimeter of the parallelogram so formed is a constant quantity.

SECTION IV.

1. The opposite sides and angles of a parallelogram are equal, and the diagonal bisects it: If the middle points of the sides be joined, the figure so formed is a parallelogram.

2. Triangles upon the same base, and between the same parallels, are equal.

Of all triangles on the same base and between the same parallels, that which is isosceles has the least perimeter.

3. If a parallelogram and a triangle be upon the same base, and between the same parallels, the parallelogram shall be double of the triangle.

If through the angles of a parallelogram straight lines be drawn parallel to the diagonals, the figure so formed is a parallelogram double of the original parallelogram.

SECTION V,

1. Describe a parallelogram that shall be equal to a given triangle, and have an angle equal to a given rectilineal augle.

Describe a right angled parallelogram which shall be equal to a given triangle, and have for one of its sides a side of the triangle.

2. In any right angled triangle, the square described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle.

ABCD, BEF G, are two squares upon the same sides of the straight line A B E, and on opposite sides of BG C. If H be taken in B C produced, such that BHI A E, and K in A E, such that A K B E, then D K F H is a square equal to the sum of the given squares. Define a rectangle, and explain how rectangular areas are represented by the product of two numerical symbols.

SECTION VI.

1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectar gle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.

Prove this also algebraically.

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