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OXFORD EXAMINATION PAPERS.

RESPONSIONS.

I.

For Latin Prose.

This Xenophon, at that time, was very young, and never had seen the wars before; neither had he any command in the army, but only followed the war as a volunteer, for the love and conversation of Proxenus his friend. He was present when Falinus came with a message from the great King to the Grecians, after that Cyrus was slain in the field, and they, a handful of men, left to themselves in the midst of the King's territories, cut off from their country by many navigable rivers, and many hundred miles. The message imported, that they should deliver up their arms and submit themselves to the King's mercy. To which message, before answer made, divers of the army conferred familiarly with Falinus, and amongst the rest Xenophon happened to say, 'Why, Falinus! we have now but these two things left, our arms and our virtue; and if, we yield up our arms, how shall we make use of our virtue ?"

II.

Grammar.

was

1. What is meant by-Case, Tense, Mood, Voice, Infinitive, Aorist?

2. Parse-εΐλκον, πείσειαν, προθῇ, λελέχθω, σφαλεῖσι, è↓evoμévos, èπíoɣes, πаρóv, faces, ablatis, moriture, intererit, obstem, concute, solius.

3. Decline in full—åva§, yúvŋ, táλas, fur, quilibet.

4. Give the gender and dative plural of-púλag, åndwv, πατήρ, βέλος, λιμήν, ὕδωρ, νῆσος, ναύτης, ligo, grando, nix, glans, scelus, paries, vortex.

5. Express in Greek and Latin: eighth, nineteen, four times, one hundred and fifty-three, ten thousand.

6. Compare-ταχύς, μέλας, χαλεπός, αἰσχρῶς, ἔγγυς, malevolus, atrox, prope, impius, teter.

7. Translate into Latin :

(1) He fought the battle without waiting for his colleague.

(2) The more cautiously you go the sooner you will arrive.

(3) No one shall prevent me from saying this.

(4) The news came on the seventh of March that he had been put to death ten days before.

(5) They feared they would be too late.

8. Distinguish between—διὰ σοῦ, διὰ σέ: πρὸς τούτων, πρὸς τούτοις, πρὸς ταῦτα: ἐπὶ τῆς πόλεως, ἐπὶ τῇ πόλει, ἐπὶ Thu Tóλ: metor, metior, mentior: consulere alicui, consulere aliquem.

9. Write down 3d plur. indic. of

Ist aor. pass. of Téμvw,

imperf. of χράομαι,

Ist aor. act. of diap0eípw,

2nd aor. pass. of ἀποστέλλω,

pluperf. act. of þúw,

imperf. act. of didwμi,

fut. mid. of quλáoow,

perf. act. of πίπτω :

perfect and supine of-peto, fundo, cupio, adipiscor, reperio, restinguo.

10. Turn into Oratio obliqua :

:

Comparate nunc, Quirites, cum illorum superbia me hominem novum. Quae illi audire et legere solent, eorum partem vidi, alia egomet gessi; quae illi litteris, ea ego militando didici. Nunc vos existumate, facta an dicta pluris sint. Contemnunt novitatem meam, ego illorum ignaviam; mihi fortuna, illis probra objectantur.

III.

Arithmetic.

1. Multiply 127. 178. 8d. by 137.

Divide 426 tons 8 cwt. I qr. by 84.

2. Find the G.C.M. of 615, 861, 1435; and the L.C.M. of 84, 126, 294, 630.

3. Find by Practice or otherwise

(1) the cost of 1501 articles at 17. 16s. 93d. each; (2) the value of 37 cwt. 2 qrs. 7 lbs. at 37. 78. 10d. per cwt.

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6. Express as decimal fractions 32, 2; and as vulgar fractions in their lowest terms 0512, 0409.

7. Reduce 3 acres 3 roods 3 perches to the decimal of 100 acres; and find the number of minutes and seconds in .06375 of an hour.

8. Extract the square root of

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(3) .0081.

9. Find the cost of carpeting a room 15 ft. 6 in. by 12 ft. 9 in., the price of the carpet being 78. 8d. per yard, and the width of the carpet 24 inches.

10. The yearly rent of a house being 130/., what should be the price that the purchaser may get 6 per cent. on his investment?

11. Find the compound interest of 6257. in 3 years at 4 per cent.

12. A person holding 750l. of a 3-per cent. stock and 650l. of a 31-per cent. stock sells the former at 96 and the latter at 971, investing the proceeds of the sale in a 5-per cent. stock at 125. Find his income before and after the transfer.

IV.

Euclid.

[N.B. At least two propositions from the Second Book are expected.]

1. Define-figure, diameter of a circle, parallelogram, plane superficies.

Write out Euclid's three postulates.

2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be equal, each to each; and also the third angle of the one equal to the third angle of the other.

3. If a straight line be divided into any two parts the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts.

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

5. Describe a square equal to a given rectilineal figure.

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

7. Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part.

8. The three interior angles of every triangle are together equal to two right angles. Prove this, together with one of the two corollaries.

9. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus pro

duced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

10. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle.

V.

Algebra.

1. State the rules for (1) multiplying, (2) dividing one power of a number by another power of the same number. 2. Add together

3x-57+4%, 37-5x-4%, 22-3y+8x. From a (4a+3)2 take (a+1)(4a+1)2.

3. Multiply m2+2mn+2n2 by m2 — 2 mn+2n2. 4. Divide 5-209x+56 by x2−4x+1.

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9. Solve the equations :

(1) } (x−1) + (x − 3) = (x −5) + } (x − 7) ;

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