EXAMINATION FOR EXHIBITIONS AT MATRICULATION.
civ
2. Describe the marine currents round Australia, with the extensions of each into other districts.
3. Describe the extent of the Pacific warmth equator and explain why its normal temperature is higher than that of the corresponding tract in the At- lantic, and shew why it is much colder in about 115° W. Longitude than where it cuts the terres- trial equator.
4. Describe the course of three rivers having the' greatest fall of those known.
r. Describe the districts through which the Mississippi flows, its principal lakes, and its Delta.
6. Trace the boundaries of the provinces of the (1) Summer, (2) Autumn, and (3) Winter Rains in Europe, and explain the causes of, the chief flexures.
,7. Where would a magnetic needle point true North and South ? What are the courses of some of the better known lines of no variation and of equal variation, and what are the positions of the points inclosed by the latter ?
8. What is the bore of Hoogly ? Trace the progress of the movement producing it from its origin to its close.
clvii 4. Nicias.
5. Pisistratus. ' 6. Xenophon.
II.—1. Appius Claudius Pulcher.
2. C. Duilius. ' 3. C. Fabricius.
4. C. Hortensius.
5. M. Livius Salinator.
6. C. Licinius Stolo.
III.—1. Admiral Byng.
2. Viscount Dundee.
3. Sir John Elliot.
4. Sir Walter Manny.
5. Sir Isaac Newton.
6. Cardinal Wolsey.
PHYSICAL GEOGRAPHY.
{Professor McCoy.)
1. What are the boundaries of the tract, in the At- lantic N.E. Trade Wind Region, in which the prevailing winds are froin the South-West ?
d v i EXAMINATION PAPERS,
5. The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another.
6. If there are two straight lines one of which is divided into any number of parts the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line.
7. Divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part.
8. Describe a square that shall be equal to a given rectilineal figure.
HISTORY.
{Professor Hearn.)
Candidates may select any two of tlie following divisions.
State with 'the appropriate dates the principal public events connected with each of the following persons:—
I.—1. Agesilaus.
2. Aristagoras.
3. Epaminondas.
11. Solve the equation
7 {x — 9) —12 {x + 15) = 3 (3 — 2x) 12. Solve the equation ax + b = x + . 3
- EUCLID.
{Professor Wilson.)
Three propositions from the First Book and Two from the Second Book must be written out correctly to entitle a Candidate to pass.
Credit will not be given for any Proposition in which' Algebraical Symbols are used.
1. Draw a straight line perpendicular to a given straight line of an unlimited length from a given point without it.
2. The greater side of every triangle is opposite to the greater angle.
3. Any two sides of a triangle are together greater than the third side.
4. If a straight line falls upon two parallel straight lines it makes the alternate angles equal to one another; and the exterior angle equal to the in- terior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles.
d i v EXAMINATION PAPERS,
2. The number a is divided by the number a;.and also the number x is divided by the number a and twice the latter quotient is subtracted from three times the former: write down the algebraical expression of the result.
3. Write down the algebraical expression of a number which when multiplied by itself will give as the product the sum of the second-powers of a and b.
4. Add together
5» + 2 {b—3c), 4 c - 3 {a + 2b), and 5 b - {a-3c) 5. Arrange the expression a—bx — ex2 —b — x + x2
- according to powers, of x so that coefficients of like powers of x may be together in brackets.
6. Multiply together
2x3 — Qxy* + y3 and x2 — 2xy — 2y-
7. Divide 3 {5b3 — 3a?b) + 2a (a2 + 2¥) by 2a — 5b 8. Substitute - ^ - for x_ in the expression
{a + b — 2x)* + 2 (a + b) x
9. Substitute a + b for x and a — b for y in the ex- pression 2 J . 1,2
x* + y x"—y'
10. From a line whose length is a feet one n'h part is cut off and the remainder is then divided into five equal parts and-it is found that each of them is six inches long: write down the equation which expresses this.
6. Reduce -65625 to a vulgar fraction in its lowest
• terms.
7. Express 3h. 9m. 27s. as the decimal of a day.
8: Extract the square root of 24324624.
9. Extract the square root of 16-9 to four places of decimals.
10. Assuming that one man can excavate four cubic feet in one hour how long will it take a thousand men to dig a canal a hundred miles long fifty feet wide and twenty feet deep working eight hours a day on six days in the week ?
ALGEBRA.
{Professor Wilson.)
Six questions must be answered correctly- to entitle a Candidate to pass.
The answer to every question that requires working must be worked out in full and all the working sent in as part of the answer. ' Every result must be reduced to its simplest form.
1. Five times the number b is added to eight times the number a and the sum is divided by six times the number by which a exceeds b : write down the algebraical expression of-the result.
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clii EXAMINATION PAPERS,
ARITHMETIC.
{Professor Wilson.)
.Five questions must be answered correctly to entitle a Candidate to pass. .
The answer to every question must be worked out at full length and the working sent in as part of the*
answer. Every result must be reduced to its
• simplest form.
1. Write down in words the quotient and the re- mainder obtained by dividing seventy billions six hundred and five millions forty thousand and thirty-two by nine hundred and eighty.-seven thousand millions six thousand and fifty-four.
. 2. How long will it take to fill a reservoir three miles "
long one mile broad and twenty feet deep by a pipe which discharges into it two hundred cubic feet of water in a minute ?
3. One person bought five elevenths of a share in a mining company and another bought seven thirteenths of a share in the same company : the' two together paid £ 7 1 : how much should each pay ?
4. Divide the sum of five eighths four ninths and seven twelfths hy the difference between seven ninths and thirteen twenty fourths.
5. Divide the product of 49-231' and -00728 by
•0000789 to four places of decimals.
8. What is the difference between autant, 6tant; boue, bout; cor, corps; jete, jetee; n6, nez; pris, prix;
sou, sous; tout, toux ? 9. Put into French—
(1.) Peter the Great taught them to obey by his own example and by the punishments which he had ordered.
(2.) The king saw that even the few senators who were attached to him remained silent.
(3.) Though" the army was both hungry and thirsty it was impossible to halt even for a moment.
(4.) The public library of. this city has more than forty-two thousand six hundred and • ninety books.
(5.) Warmth'is no less necessary to the human body than food.
(6.) Do you think, my friend, that those are right who say that every man ought always to seek for happiness ? '
(7.) Those who wish to judge rightly of the state of any country ought to have travelled in it, or to have studied carefully accounts of it.
d E X A M I N A T I O N P A P E R S ,
2. Translate {a) Les vieillards, rcfugies dans les glaces pendant que leurs maisons etaient en feu, se tramerent. aux portes. {b) Sa politique lento et mesuree voulait laisser tout murir. {c) Je vous ordonno de_ tirer sur quiconque fuira, et de me tuer moi-m&ne si j'etais assez lilche pour me retirer. {d) La diete se laissa emporter a 1'im- pulsion qu'elle avait recue: tant les compagnies sont sujettes aux variations.
3. Give the English of auge depens dresser dcartele emprunter foule mfiler nage poignee soif soup- gonneux volee.
4. Write down throughout—
(i.) The preterite definite of songer (2.) The present indicative of craindre (3.) The imperative of se rendre
(4.) The past subjunctive negative of etre (5.) The future indicative of pouvoir.
{Three at least must be done without mistake.) 5 Give the first persons of the present indicative of
the imperfect and of the preterite definite of acquerir aller avoir faire paraitre prendre pouvoir revenir sortir valoir.
{Six at least must be done without mistake) 6, Give the meaning and the feminine of these words—
absous 6pais fou jumeau mou roux trompeur vif. ' 7. Give the French adverbs for the following—already everywhere henceforth immediately nevertheless 'suddenly then where.
12. For what purpose are continuative conjunctions used ? Classify them with one example of each class.
FRENCH.
{Professor Irving) Translate literally—
II n'attendait pour executer ses grands desseins que 1'emploi de premier vizir, dont sa jeunesse I'ecartait encore. Dans cette idee, il avait plus ' besoin d'etre 1'allie que 1'ennemi du czar: sou
int'eret ni sa volonte n'etaient pas de garder plus longtemps le roi de Suede, encore moins d'armer la Turquie en sa faveur. Non-seulement il voulait renvoyer ce prince, mais il disait ouvertement qu'il ne fallait plus souffrir desormais aucun ministre chretien k Constantinople; que tous ces ambassadcurs ordinaires n'etaient que des espions honprables qui corrompaient ou qui trahissaient les vizirs, et donnaient depuis trop longtemps le mouvement aux'intrigues du seiail; que les Francs, etablis a Pera et dans les echelles du levant, sont des marchands qui n'ont besoin que d'un consul et non d'un ambassadeur. Le grand vizir, qui devait son etablissement et sa vie m&ne au favori, et qui de plus le craignait, se confor- mait a ses intentions d'autant plus ais^ment qu'il s'ctait vendu aux Moscovites, et qu'il esperait se venger du roi de Suede qui avait voulu le perdre.
Cxlviii EXAMINATION PAPERS,
4. For what reasons does Crombie maintain the cor- rectness of the following—" Why is earth and ashes proud " ?
5. What explanation does Crombie give of the expres- sion—This is a friend of the king's ? According to this explanation what is the meaning of the preposition " of" in the phrase ? '
6. What definition is given by Crombie of the gram- mar of any language ?
7. Define a barbarism, a solecism, an impropriety, and give two examples of each.
8. Distinguish between ere e'er, wreck wreak, here hither, genii geniuses, ludicrous ridiculous.
9. " The boy stood on the burning deck ' Whence all but he had fled."
How many sentences and of what kind are there in tho preceding ? Supply the ellipse in the second line.
10. Morell gives as an example of an adverbial sentence of place—He returned from whence he came. In this there is an ellipse, and also a pleonasm. Point them out.
11. Give Morell's table of nouns and place under their proper classes therein these nouns—
Alcibiades Cicero Coriolanus clay courage crew Demosthenes despair explorer iron march ounce pistol quart regiment steam-engine striking student vigilance wisdom.
ENGLISH.
{Professor Irving.)
[NB.—TJic first three questions must be satisfactorily answered.]
1. Parse according to Morell's scheme, every word of the following—
Achilles' wrath; to Greece the direful spring Of woes unnumbered, heavenly goddess, sing.
2. Point out and correct the various faults which occur in the following sentences, and write each sentence in its proper form—
(a.) Such a number of unfounded statements are now to be found daily in the columns that once was believed in as a respectable publication.
{b) Only for the exertion of the firemen, the flames had extended wider, and a larger amount of goods had been done damage to, if not altogether de- stroyed.
(c.) Though some of the European rulers may be females, when spoken of altogether, they may be ' correctly classified under the denomination of kings.
{d) 'Day and night are a consequence of the earth revolving on its axis.
3. Analyse according to Morell's second and third schemes— .
Still more majestic shalt thou rise, More dreadful from each foreign stroke;
As the,loud blast that rends the skies Serves but to root thy native oak.
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cxlvi
7. Give the meanings and the full derivations of sequinoctium dementia existimare insinuare prae- mium rebellio rursus tantulus triplex virgultum.
8. Name with the English of each, six Latin verbs that are followed by ut.
9. What is the difference between a relative clause and a relative sentence according to Arnold ? What is the general rule for the position of the antecedent ? How is the antecedent sometimes placed, and usually with what other result ? 10. In what way is the future subjunctive passive to
be expressed in Latin ? Supposing a verb has no supine, how can you make up a future infinitive passive ? Give an example of each.
11. Give the meaning of these verbs—cpnducere dubi- tare gaudere illuderc obstare uti. For each con- struct a short Latin sentence to shew its govern- ment and give a-translation.
i o Give the Latin for (1) They were slain to a man.
(2) Every soldier fought bravely, the more so because Cffisar was looking on. (3) Compare these two men together. (4) Athens, which was the teacher of philosophy, was taken by the Lacodajmonians. (5) He said that experience would teach him more things before he died. (6) Ca?sar first and then Cato were asked for their opinion.
4. Translate literally—
At hostes ubi primum nostros equites conspex- erunt, quorum erat v milium numerus, cum ipsi non amplius octingentos equites haberent, quod ii qui frumentandi causa ierant trans Mosam non- dum redierant, nihil timeutibus nostris, quod legati eorum paulo ante a Cae'sare discesserant atque is dies induciis erat ab his petitus, impetu facto celeriter nostros perturbaverunt. Rursus resistentibus consuetudine sua ad pedes desilu- erunt, subfossis equis compluribusque nostris de- jectis reliquos in fugam conjecerunt atque ita
perterritos egerunt ut non prius fuga desisterent quam in conspectum agminis nostri venissent. I n eo proelio ex equitibus nostris interficiuutur iv et LXX, in his vir fortissimus Piso Aquitanus, am- plissimo genere natus, cujus avus in civitate sua regnum obtinuerat amicus ab senatu nostro appel- latus. Hie quum fratri intercluso ab hostibus auxilium ferret, ilium ex periculo eripuit, ipse equo vulnerato dejectus quoad potuit fortissimo restitit: quum circumventu's multis vulneribus acceptis cecidisset, atque id frater qui jam proelio excesserat procul animadvertisset, incitato equo se hostibus obtulit atque interfectus est.
5. In the preceding parse according to directions conspexerunt frumentandi obtinuerat cecidisset
• nostris fuga vulneribus is.
6. In the preceding what case is induciis and why ? consuetudine and why ? hostibus (in the last line) and why ? impetu and why ? With what does the pronoun id agree ? Why is inter- ficiuntur present ? '
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MATRICULATION—EXHIBITIONS, F.T. 1866. d x i x
6. In any right angled triangle the square on the side opposite to the right angle is equal to the squares on the sides containing the right angle.
6. From any number of points on the circumference of a given circle straight lines are drawn in the same- direction equal and parallel to a given straight line :, shew that the extremities of the lines so drawn will all lie on the circumference of a circle.
7. If a triangle is drawn whose sides are severally equal to the diagonals of the squares on the sides of a right angled triangle this triangle will itself be right angled.
8. What is the definition of a parallelogram about the diameter of another parallelogram ? in what is this definition imperfect ? Shew that parallelo- grams about the diameter of a square are squares.
9. Describe a square which shall be five times as great as a given square.
10. From the right angle of a right angled triangle a straight line is drawn perpendicular to the base : shew that the square on the perpendicular is ' equal to the rectangle contained by the segments
of the base.
III.—FOR HISTORY, PHYSICAL GEOGRAPHY,