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EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should answer nine questions, of which five must be in Section L, two in Section II., and two in Section III. Questions 1, 2, and 3 must be attempted. Vai ' uk - SECTION I. 10. 1. Write out, and punctuate, the passage for dictation. 15. 2. Write a short essay of about two pages on one of the following subjects:— (a) The influence of climate upon national character. (£>) A comparison of the present methods of warfare with those of an earlier century. 15. 3. Paraphrase the following lines, so as to bring out their full meaning:— IGNORANT ASSURANCE. Where men of judgment creep and feel their way, The positive pronounce without dismay, Their want of right and intellect supplied By sparks absurdity strikes out of pride. Where others toil with philosophic force, Their nimble nonsense takes a shorter course,— Flings at your head conviction in the lump, And gains remote conclusions at a jump. Their own defect, invisible to them, Seen in another, they at once condemn ; And, though self-idolized in every case, Hate their own likeness in a brother’s face. 10, 4. Parse the five words italicized in the above passage. Describe accurately the metre in which the above passage is written, and mention any English poem written in this metre.

EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

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Page 1: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 335

LEAVING CERTIFICATE, 1900.

EXAMINATION PAPERS,

ENGLISH

LOWER GRADE.

Thursday, 21st June.—10 A.M. to 12.30 P.M.

Every Candidate should answer nine questions, of which five must be in Section L, two in Section II., and two in Section III. Questions 1, 2, and 3 must be attempted.

Vai'uk- SECTION I.

10. 1. Write out, and punctuate, the passage for dictation.

15. 2. Write a short essay of about two pages on one of the following subjects:—

(a) The influence of climate upon national character.

(£>) A comparison of the present methods of warfare with those of an earlier century.

15. 3. Paraphrase the following lines, so as to bring out their full meaning:—

IGNORANT ASSURANCE.

Where men of judgment creep and feel their way, The positive pronounce without dismay, Their want of right and intellect supplied By sparks absurdity strikes out of pride. Where others toil with philosophic force, Their nimble nonsense takes a shorter course,— Flings at your head conviction in the lump, And gains remote conclusions at a jump. Their own defect, invisible to them, Seen in another, they at once condemn ; And, though self-idolized in every case, Hate their own likeness in a brother’s face.

10, 4. Parse the five words italicized in the above passage.

Describe accurately the metre in which the above passage is written, and mention any English poem written in this metre.

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V\XUE. 336 EXAMINATION PAPERS.

10. 5. Explain accurately what a metaphor is, and what purposes it serves. What is a mimd metaphor, and why is it an error l Point out and explain any three cases of metaphor in the passage quoted in Question 3.

10. 6. Make a general analysis of the following sentence :—

“ He then went on to say that such an institution would be of immense service, as it would enable men to meet, and would create a multitude of private interests and friend- ships which would not be lost sight of or ignored, whatever the course of politics might be.”

What words in the above sentence are derived from Latin, directly or indirectly 1

10. 7. Point out the faults in the following sentences. Explain why you consider them faults, and re-write each sentence in an improved form :—

(a) I intended to have called on him next week.

(b) She had a bad habit of procrastinating everything till to- morrow.

(c) In accepting the gift, the town council has saddled them- selves with a white elephant.

(d) Though the three alternatives were all quite open to her, she did not wish to choose between them.

(e) I .am one of those who cannot conceal my opinions about what I consider to be wrong.

10. 8. In what century, and by whom, was each of the following works written :—The Canterbury Tales, The Faerie Queene, The Pilgrim’s Progress, Robinson Crusoe, The Cottar’s Saturday Night, Ivanhoe.

Give a short account of any one character in any of these works.

SECTION II.

(In the answers under this section, attention must be paid to accuracy and clearness of composition. Mere lists of events and dates will not be regarded as sufficient.)

10. 9. What two characters in British history seem to you the most admirable and the most detestable respectively 1 Describe the character and career of each, showing the reasons on which your opinion is based.

10. 10. Give an account of any three of the following, so as to show their significance and importance in British history:—Peace of Wedmore, Murder of Becket, Barons’ War, Battle of Stirling Bridge, Siege of Orleans, Acts of Uniformity and Supremacy, Battle of Langside, Scottish National Covenant and Solemn League and Covenant, Barebones Parliament, Scottish Union, Battle of Culloden, Middlesex Elections, Catholic Emancipation Act, Ballot Act,

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SECTION III.

11. What are the chief natural circumstances which give Great Britain an advantage over other countries 1 Illustrate your answer by a comparison of Great Britain with any other European country in these respects.

12. Describe the mountain systems of Great Britain and Ireland.

13 Give a detailed account of the commerce and exports of South Africa, mentioning the chief ports and the communications of each with the interior.

14. Describe accurately the position of each of the following places, and mention anything for which it is remarkable:—Dunbar, Killiecrankie, Kenilworth, Londonderry, Rugby, Brindisi, The Hague, Corea, Granada, Trient.

ENGLISH.

* LOWER GRADE.

Thursday, 21st June.—10.45 A.M.

Passage for Didaiion.

It may be well to point out that grave faults of pronunciation are rife amongst cultivated and well-bred people, who would probably repudiate such an accusation with surprise. But really I see no reason why these mispronunciations should not be called vulgarisms quite as truly as the others. The mistakes of the ignorant are in reality far more pardonable than' the wilful perversions of the cultivated. Ears that are accustomed to the eccentricities and affectations of the leisured classes usually fail to recognise them; but the good reader should as carefully eschew them as he should avoid the blunders of the illiterate, or the pedantry of the mere scholar.

ENGLISH.

HIGHER GRADE AND FIRST PAPER FOR HONOURS.

Thursday, 21st June.—10 A.M. to 1 P,M

Every Candidate should. answer nine questions, and every Candidate must take Questions 1 and 2, and, in addition, three other ques- tions in Section I.

Higher Grade Candidates should take, also, two questions in Section II., and two in Section HI.

Honours Candidates are not required to answer questions from Sections II. and III., but may do so. The full number of marks can be obtained in Section I.

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338 EXAMINATION PAPERS. VALUE.

SECTION I.

ig, 1. Write a short essay of about two pages on one of the following subjects :—

(a.) The arguments for and against the adoption of a system of compulsory military service in our country.

(b.) A comparison of the benefits accruing to Britain from her colonies with those accruing to her colonies from Britain.

15. 2. Paraphrase the following lines, so as to bring out their full meaning :—

This dear English land ! This happy England, loud with brooks and birds, Shining with harvests ; cool with dewy trees And bloomed from hill to dell, but whose best flowers Are daughters, and Qphelia still more fair Than any rose she weaves; whose noblest floods The pulsing torrent of a nation’s heart; Whose forests stronger than her native oaks Are living men ; and whose unfathomed lakes, For ever calm, the unforgotten dead In quiet graveyards willowcd seemly round, O’er which To-day bends sad, and sees his face ; Whose rocks are rights, consolidate of old Through unremembered years, around whose base The ever-surging peoples roll and roar Perpetual, as around her cliffs the seas That only wash them whiter !

10 3. Make a general analysis of the above passage. * Parse the five words italicized in the above passage.

10. 4. Discuss the use of figures of speech in the above passage. Point out an example of each figure of speech that you mention, and

explain it, so as to show the purpose which it serves.

10 5. Trace back the history, in form and in meaning, of any five of the following English words, and explain carefully the connection of their present meanings with their root-signification :—nice, generous, prejudicial, education, insolent, impertinent, exquisite, censure, alarm, obsequious.

10. 6. Point out the faults of composition or style in the following sentences. Explain why you consider them faults, and express what seems to you to be the meaning of each in an improved form:—

(a.) We admit the gift’s generosity, but the town council in accepting it will, we believe, be found to have saddled themselves with a white elephant.

ffif Simplicity is one of the features of Macbeth’s nature, who has uo« command over his mind or his features.

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EXAMINATION PAPERS. 339

(c.) She is one of those women who cannot conceal her opinions about what she considers to be wrong.

(d.) The sparring with words between Beatrice, who says “nobody marks you,” and yet she herself does, and Benedick makes us wonder how all that will end.

(e.) The entrance of the two women, Nerissa first, then Portia, forms one of the mosi striking climaxes anywhere to be imagined, ana adds to the dramatic effect.

10. 7. Describe shortly the character of one of Chaucer’s Canterbury Pilgrims, and one of Shakespeare’s heroes, and one of Scott’s humorous creations.

10. 8. Name one important work in verse, and one in prose, written or published within each of the following periods :—(a) 1350-1400, (b) 1580-1610, (c) 1660-1688, (d) 1775-1800, (e) 1800-1825.

Describe the metre of each poem you mention, and give a short account of any one of the prose works you have read.

10. 9. Explain, and illustrate by reference to particular examples, what is meant by each of the following terms as applied to style Euphuistic, euphemistic, ironical, bombastic, epigrammatic.

SECTION II.

(In the answers under this section, attention must be paid to accuracy and clearness of composition. Mere lists of events and dates will not be regarded as sufficient.)

10. 10. Describe, so as to show their historical significance and importance, any four of the following:—Peace of Wedmore, Murder of Bechet,' Barons’ War, Battle of Stirling Bridge, Siege of Orleans, Acts of Uniformity and Supremacy, Battle of Langside, Scottish National Covenant and Solemn League and Covenant, Bare- bones Parliament, Scottish Union, Battle of Culloden, Middlesex Elections, Catholic Emancipation Act, Ballot Act.

10. 11. Write short papers (of about a page each) on two of the following subjects —The chief political institutions of the Anglo-Saxons The Crusades; the relations of Church and State under the Norman and Angevin Kings; constitutional progress in the Thirteenth Century; the increase of kingly power under the Tudors ; the ecclesiastical policy of Henry VIII.; the history of Scottish Presbyterianism; the contrasted ideals of Puritan and Cavalier ; the condition of England under the restored Stuarts ; the rise of Cabinet Government; the development of national education in Scotland ; the democratic reforms of the Nineteenth Century.

10- 12. What English and Scottish writers, apart from historians, have given us in their works pictures of their own or of former times 1 Defer to any of those works which you have read, and give a fuller account of any one of them.

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840 EXAMINATION PAPERS.

SECTION III

13. What are the chief natural circumstances which give an advantage to one country over another ? Illustrate your answer by examples.

14. Name the chief foreign possessions of any two of the following countries :—Spain, Portugal, France, Germany. Indicate the import- ance, commercial or otherwise, of each of those you name.

15. Give a detailed account of the commerce and exports of South Africa, mentioning the chief ports and the communications of each with the interior.

16. Explain fully and carefully any two of the following why it is so much warmer in summer than in winter; the causes of spring tides and neap tides ; trade winds and the areas over which they blow; the principal causes of ocean currents, and the course and effects of the Gulf Stream ; the formation of icebergs and their effect upon climate; the conditions of the atmosphere usually accompanying a cyclone and an anticyclone respectively

ENGLISH.

HONOURS.—SECOND PAPER.

Wednesday, 27th June.—10 A.M. to 1 P.M.

About SIX questions should be answered. At least POUR of these must be taken from Section I.

SECTION I.

1. What kinds of literature were in vogue in England when Chaucer began to write 1 How far did Chaucer imitate these, and in what respects did he show originality ?

2. Give some explanation of the dearth of literature in England during the Fifteenth Century, and point to some events which brought about its revival in the succeeding century.

3. Trace the development of the drama in England up to the time of Shakespeare.

4. Name two examples from Shakespeare’s plays of each of the following qualities :—Ambition, cruelty, amiability, heroism. Compare the members of each group, so as to bring out their character istic differences.

5. Describe one humorous scene, and one tragic scene, from drama or novel, so as to show clearly wherein consists the depth of its humour or tragedy.

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6. Who are the chief representatives of Pastoral Poetry in English and Scottish literature 1 Describe shortly one example from the works of each of the poets you mention.

7. Point out the characteristic features of the English literature of the following periods, illustrating your answer by some account of the chief works belonging to each —Revival of Learning, Restoration, French Revolution.

8. Who were the leading critics of literature in the Eighteenth Century, and in what respects did their attitude towards Poetry differ from that of the leading critics of the Nineteenth Century.

9. Compare the two members of any one of the following groups :— (a) Boswell and Lockhart, (b) Macaulay and Carlyle, (c) Dickens and Thackeray, (d) Jane Austen and George Eliot, (e) Defoe and Stevenson.

10. Illustrate what seem to you the essential qualities in the greatness of any two of the following authors Dunbar, Spenser Milton, Bunyan, Pope, Goldsmith, Cowper, Coleridge, Scott Tennyson.

SECTION II.

Optional Questions.

11. Translate into modern English

Da Jmhte him to huxlic ]>sdt he hiran sceolde senigum hlaforde,

i>a he swa senlic wses, and nolde wurSian ]xjne be hine geworhte, and

him ]mncian aefre Sees pe he him forgeaf, and beon him underSeodd

]?ees be swijror geornlice for ]?sere micclan meerSe pe he hine

gemaeSegode. He nolde >a habban his Scippend him to hlaforde,

ne he nolde ]nirhwunian on Ssere so^fsestnisse Saes sobfaestan Godes

Suna, pe hine gesceop faegerne, ac wolde mid riccetere hkn rice

gewinnan, and Jmrh modignisse hine macian to Gode, and nam him

gegadan ongean Godes willan to his unraede on eornost gefaestnod.

Da naefde be nan setl, hwaer he sittan mihte, for San Se nan

heofon nolde hine aberan, ne nan rice naes pe his mihte beon

ongean Godes willan, pe geworhte ealle Sine.

12. Give the 3rd sing, present, the 3rd sing, and 3rd plur. preterite, and the past participle of the strong verbs in the above passage; and account for the case of each of the italicized words.

13. Show by a genealogical table the relationship of Modern English to the other Germanic languages ; and explain why it is that we regard English as a Germanic language, in spite of the fact that the greater part of its present vocabulary is derived from sources not Germanic.

z 3 4:)13

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342 EXAMINATION PAPERS.

14. Translate the following passages into good idiomatic English, with any explanations that seem necessary:—

(a) And Frensh she spak full faire and fetisly, After the scole of Stratford-aife-Bowe, For Frensh of Paris was to hir unknowt.

(b) A gentil maunciple was ther of a temple, Of which achatours mighte take exemple For to T>e wise in buying of vitaille, For whether that he payde, or took by taille, Algate he wayted so in his achat, That he was ay biforn and in good stat.

(c) Certes, he Jakke Straw, and his meynee, Ne made neuere shoutes half so simile, Whan that they wolden any Flemyng kille, As thilke day was maad upon the fox.

(d) And with a sigh he seyde pitously : ‘ The fresshe beautee sleeth me sodeynly Of hir that rometh in the yonder place ; And but I have hir mercy and hir grace, That I may seen hir atte leste weye, I nam but deed ; ther nis no more to seye.’

Account for the final «’s in the eight words italicized in the above passages.

LATIN.

LOWER GRADE.

Monday, 25th June.-—10 A.M. to 12.30 P.M.

Candidates should in all'cases attempt Question 1.

1. Translate into Latin :—

Many of the conspirators withdrew to their houses, hoping that, amidst the darkness of the night, they had passed un- observed, and might remain unknown. Others sought for safety by a timely retreat; and, before break of day, most of them fled with precipitation from a city which, but a few hours before, was ready to acknowledge them as masters. Next morning everything was quiet in Genoa; not an enemy was to be seen; few marks of the violence of the former night appeared, the conspirators having conducted their enterprise with more noise than bloodshed, and gained all their advantages by surprise, rather than by force of arms.

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VAMJK EXAMINATION PAPERS. 343

2. Translate into English —

(The Sibyl's prophecy to Aeneas.)

(a.) Impiger Aenea, volitantis frater Amoris, Troica qui profugis sacra vehis ratibus,

iam tibi Laurentes adsignat luppiter agros, iam vocat errantes hospita terra Lares,

ecce super fessas volitat Victoria puppes ; tandem ad Troianos diva superba venit.

ecce mihi lucent Rutulis incendia castris, iam tibi praedico, barbare Turne, necem.

ante oculos Laurens castrum murusque Lavini est Albaque ab AsCanio condita longa duce.

carpite nunc, tauri, de septem montibus herbas, dum licet: hie magnae iam locus urbis erit.

29 (b.) In Liguribus nihil postea gestum. recesserant primum in devios saltus, deinde dimisso exercitu passim in vicos castellaque sua dilapsi sunt, consules quoque dimittere exercitum voluerunt ac de ea re patres consuluerunt. alterum ex his dimisso exercitu ad magistratus in annum creandos venire Romam iusserunt, alterum cum legionibus suis Pisis hiemare. fama erat Gallos Transalpinos iuventutem armare, nec in quam regionem Italiae effusura se multitudo esset sciebatur. ita inter se consules compararunt ut Cn. Baebius ad comitia iret, quia M. Baebius frater eius consulatum petebat.

3 (a.) Give the (1) meaning, (2) gender, (3) dative plural of the follow- ing nouns: dies, palus, crus, minus, arx, gradus, rupes, aries.

Mark the quantity of each syllable in the following words:—

invenias, maledicus, monebamini, impedimentis.

(b.) Express in Latin:—a half, a third—one million sesterces— a road four feet broad—December 31 si—three camps, and as many legions.

(c.) Give the meaning and principal parts of redeo, reddo, vincio, vinco, vivo, orior : the second singular perfect sub- junctive of peto, adsum, praesto, jio: and the imperative, present and future, of audio, recordor.

(d.) Distinguish between the following: write, and translate, very brief sentences or phrases to illustrate the dis- tinctions :—nego, reemo,—scio, novi—adesse, interesse— plures, plerique, complures.

(e.) Give the genitive of qmsquam, alter, praeceps. supellex : the vocative of Lucilius: and the ^superlative of utilis, facilis, multus, integer, nequam. ■

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344 EXAMINATION PAPERS.

4. Translate into Latin •—-

{a.) At Athens there were as many votes as there were citizens.

(b.) He said that when he returned he would show me the way.

(c.) Two years after he entered Italy he crossed to Sicily.

(d.) The town is too strong to be taken by assault.

(e.) I find no writer who says this ; some do not believe it.

5. Give some account of any two of the following battles :—-The Allia, Cannae Zama, Pharsalus, Philippi, Actium.

LATIN,

HIGHER GRADE AND FIRST PAPER FOR HONOURS.

Monday, 25th Line.—10 A.M to 1 P.M.

Candidates will not receive a Certifidate unless they reach the necessary standard both in Prose Composition and in Translation.

I Translate into Latin :—

Marlborough beat the victorious veterans and renowned marshals of France with an army to which he alone could have given unity and spirit. Of what other general, in modem history at least, can it be said that he never fought a battle which he did not win, or besieged a place which he did not take 1 Nor did he ever fail in an operation unless it was through the fault of the timorous traders or the intractable potentates with whom he had to act. No commander ever more completely clipped the wings of victory. Addison’s lines, describing his calmness and serenity amidst the rage of the doubtful battle, tell no more than truth. With all his meanness of character, Marlborough is one of the most superb figures, if not the most superb, in the annals of war.

2. Translate into English :— (a.) Sed quid ego ignaris nequiquam conqueror auris,

externata malo, quae nullis sensibus auctae nec missas audire queunt nee redd ere voces l ille autem prope iam mediis versatur in undis nec quisquam adparet vacua mortalis in alga, sic nimis insultans extreme tempore saeva Fors etiam nostris invidit questibus aures. luppiter omnipotens, utinam ne tempore primo Gnosia Cecropiae tetigissent litora puppes, indomito nec dira ferens stipendia tauro perfidus in Cretam religasset navita funem, nec malus hie celans dulci crudelia forma consilia in nostris requiesset sedibus hospes ! nam quo me referam 1 quali spe perdita nilor ? Idomeneosne petam montes 1—ah, gurgite lato discernens ponti truculentum ubi dividit aequor 1 an patris auxilium sperem 1—quemne ipsa reliqui, respei'sum iuvenem fraterna caede secuta 1

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VALUE. EX AMINATION PAPERS. 345

20. (5.) Artom autem memoriae primus ostendisse dicitur Simonides, cuius vulgata fabula est, cum pugili coronato carmen, quaie componi victoribus solet, mercede pacta scripsisset, abnegatam ei pecuniae partem, quod more poetis frequentissimo digressus in laudes Castoris ac Pollucis exierat. quapropter partem ab eis -petere, quorum facta celebrasset, iubebatur. et persolverunt, ut traditum est. nam cum esset grande convivium in honorem eiusdem victoriae atque adhibitus ei cenae Simonides, nuntio est excitus, quod eum duo iuvenes equis advecti desiderare maiorem in modum dicebantur. et illos quidem non invenit, fuisse tamen gratos erga se deos exitu comperit. nam vix eo ultra limen egresso triclinium illud supra convivas corruit atque ita confudit, ut non ora modo oppressorum sed membra etiam omnia requirentes ad sepulturam propinqui nulla nota possent discernere. turn Simonides dicitur memor ordine, quo quisque discubuerat, corpora suis reddidisse.

12. 3. Translate into Latin :—

(a.) He wishes to know whether you would have done this if he had given you money wherewith to bribe the jury.

(b.) There is no one who will refuse your request, if you make it without delay.

(c.) Were you in my place, you would not now be debating whether this is advantageous or not.

(d.) He returned from Tusculum to Fidenae on the 10th of April, only to find his house burned to the ground.

3, 4. Give the scansion of the following lines :—

(a.) Thyrsin et attritis Daphnin arundinibus.

(b.) virginibus puerisque canto.

(c.) nullam, Yare, sacra vite prius severis arborem.

5. (a.) Mark the quantity of every syllable in the following words : tibicen, fidicen, mendicus, medicus, fugio, fugeras, invenis, perdis, dormitas, irritare, sopor, sopire.

(b.) What constructions are used in Latin to express a Prohibition 1 Translate in as many ways as you can (i.) “ Do not do this,” (ii.) “You should not do this.”

(c.) Explain carefully the force of the Genitives and Datives in the following phrases : Persarwm regis potestas pads ac belli: (vir) paucorum hominum et mentis bene sanae: decemviri legibus scribendis: cui bono fuit 1 .

(d.) Explain, and illustrate, the use of : aliquis, quisquam, ullus —sunt qui with Indicative, and with Subjunctive, non- nulli—-forts, foras, intus, intro: iterum, rursus.

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346 EXAMINATION PAPERS.

6 Answer any ONE of the following questions

(a.) Give some account of the Senate: its constitution, its powers, and its methods of procedure.

(b.) Describe briefly the character and career of one of the following:—(i.) Theelder Scipio, (ii.) Pompeius Magnus, (iii.) Catiline,, (iv.) Tiberius.

(o) Name any three of the chief poets of the Augustan age, and show very briefly how they differed from one another in personal character and in the subjects on which they wrrote.

(d.) Describe the education of a Roman in boyhood and youth, illustrating your answer, if you can, by quotations.

LATIN.

HONOURS.—SECOND PAPER.

Wednesday, 27th June.—2 to 5 P.M.

1. Translate into Latin :—

But it happened, fortunately for Charles, that the confederates did not avail themselves of the advantage which lay so full in their view. In civil wars the first steps are commonly taken with much timidity and hesitation'. Men are solicitous, at that time, to put on the semblance of moderation and equity ; they strive to gain partizans by 'seeming to adhere strictly to known forms ; nor can they be brought at once to violate those estab- lished institutions, which, in times of tranquillity, they have been accustomed to reverence; hence their proceedings are often feeble or dilatory, when they ought to be most vigorous and decisive. Influenced by those considerations, which, happily for the peace of society, operate powerfully on the human mind, the confederates could not think of throwing off that allegiance which they owed to the head of the empire, or of turning their arms against him, without one solemn appeal more to his candour, and to the impartial judgment of their fellow-subjects. For this purpose they addressed a letter to the emperor, and a manifesto to all the inhabitants of Germany.

2. Translate:—

(a.) Sed quam fine viae recentis imo, qua monstrat veteres Apollo Cumas, albam crinibus infulisque cerno ? visu fallimur 1 an sacris ab antris profert Chalcidicas Sibylla laurus ? cedamus ; chely, iam repone cantus: vates sanctior ineipit, tacendum est. en ! et colla rotat novisque late bacchatur spatiis viamque replet. tunc sic virgineo profatur ore: ‘ dicebam, veniet (manete campi alque amnis) veniet favente caelo, qui foedum nemus et putres arenas

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EXAMINATION PAPERS. 347 VALUE1

12.

celsis pontibus et via levabit. en ! hie est deus, hunc iubet beatis pro se luppiber imperare terris ; quo non dignior has subit habenas, ex quo me duce praescios Averni Aeneas avide futura quaerens lucos et penetravit et reliquit. hie paci bonus, hie timendus armis, natura melior potentiorque. hie si flammigeros teneret axes, largis, India, nubibus maderes, undaret Libye, teperet Haemus. salve, dux hominum et parens deorum, provisum mihi cognitumque numen.’

(b.) Agundum atque obviam eundum est, Quirites, ne spolia vostra penes illos sint, non prolatandum neque votis paranda auxilia. nisi forte speratis taedium iam aut pudorem tyrannidis Sullae esse et eum per scelus oceupata periculosius dimissurum. at ille eo processit, ut nihil

. gloriosum nisi tutum et omnia retinendae dominationis honesta aestumet. itaque ilia quies et otium cum liber- tate, quae multi probi potius quam laborem cum honoribus capessebant, nulla sunt: hac tempestate serviundum aut imperitandum, habendus metus est aut faciundus, Quirites. nam quid ultra! quaeve humana superant aut divina inpolluta sunt 1 populus Romanus, paulo ante gentium moderator, exutus imperio, gloria, iure, agitandi inops despectusque ne servilia quidem alimenta reliqua habet, sociorum et Lati magna vis civitate pro multis et egregiis factis a vobis data per unum pro- hibentur et plebis innoxiae patrias sedes occupavere pauci satellites mercedem scelerum. leges, iudicia, aerarium, provinciae, reges penes unum, denique necis civium et vitae licentia. simul humanas hostias vidistis et sepulcra infecta sanguine civili. estne viris reliqur aliud quam solvere iniuriam aut mori per virtutem ? quoniam quidem unum omnibus finem natura vel ferro saeptis statuit neque quisquam extremam necessitatem nihil ausus nisi muliebri ingenio expectat.

3. Comment upon the use of the moods in the following passages

(a) superioribus litteris, benevolentia magis adductus quam quo res ita postularet, fui longior.

(Jj) priusquam committerentur ludi, Tullius ad consules venit.

(c) nolite arbitrari me, cum a vobis discessero, nullum fore.

Upon the tenses in :—

(d) litteras ad te numquam habui cui darem quin dederim.

(e) consessu caveae, magnis Circensibus adis.

Upon the cases in :—

(/) et <Iua pauper aquae Daunus agrestium regnavit populorum. (g) quid mihi Celsus agit 1

(A) admoneor ut aliquid etiam de sepultura dicendum existi- mem, rem non difficilem.

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15. 4. (a.) Write in Latin either a letter describing any one battle that has taken place in South Africa, or a short speech supposed to be delivered by Lord Roberts to his troops.

Or

(b.) Translate into Latin verse (the first four lines should be Hexameters; the remaining eight may be Hexameters or Elegiacs):—

Beneath the shade a spreading beech displays, Hylas and Aegon sung their rural lays, This mourned a faithless, that an absent Love, And Delia’s name and Doris’ fill’d the Grove.

‘ Go, gentle gales, and bear my sighs away ! For her, the feather’d quires neglect their song; For her, the limes their pleasing shades deny ; For her, the lilies hang their heads and die. Ye flow’rs that droop, forsaken by the spring, Ye birds that, left by summer, cease to sing, Ye trees that fade when autumn-heats remove, Say, is not absence death to those who love 1 ’

8. 5. Answer any one of the following questions:—

(a.) Describe the ‘ Social War ’ of 91-89 B.C. What were the grievances which brought it about, and what attempts had been made to remedy them ?

(b.) How was a Roman Province governed, under the Republic 1 When and how was the Governor appointed 1 Indicate briefly the changes which took place on the establishment of the Empire.

(c.) Consider the merits and defects of Yirgil as an Epic Poet or of Horace as a Lyric Poet.

GREEK.

LOWER GRADE.

Friday, 22nd June.—2 to 4.30 P.M.

40 I. Translate :—

’ETTEI SE iKpiKOvro avvriXQov oi re rwv MoeravvoLKCov ap-^ovrec Kot oi orparrryui rwv EXAyvwv' ical E’AE^E iStvocpwv, ’42 avSptg MoaavvoiKOt, yptig fiooXoiuOa Siacrwdiivai npog rrjv 'EAAa^a Trefyj. irXola yap OVK £\op£v’ KioXvovtn Si OVTOI r\pag, ovg aKOvopev vptv ■rroXtpiovg uvat. ti ovv /SouXscrde, e^eartv vplv rjpag Xafitiv ^vppd\ovg iccu TiptopycTaadai (1) EY rt TTOTE vpdg ovroi ySiKitKaai, ical ro Xonrbv vpwv {nryKoovg tivai rovrovg. u Si ypdg cupriatTt, OKtipuoQiz iroOiv avdig dv rpaavryv Svvapuv Xdfiotre ^vppa^ov. irpbg ravra cnreicpivaTO 6 dp\p)v rwv Mocrcruvoucwn ort KCU fiovXoivro ravra teal Si\oivro rrjv ^vppa\iav. ” Aysrt <§//, £(j>y 6 Sevo^wv, ri yp.lv Styaerrde \pyaaa0ai, av %vppa\OL vpwv ytvwptOa, Ka\ vpelg rl oloi TE iaatrOt yplv ^vpnpd^ai ire pi ryg SioSov; oi Si throv on iicavol iopev elg ryv \wpav tlgjddXXeiv ryv rwv vplv re ical yplv rroXtpiwv, KO.) Stvpo vplv irtpx^ai vavg re KO.1 dvSpag, o'inveg vplv ^,vppa\ovvral TE Ktu ryv 6S6v yyycTOvrai.

ripwptloOai = “ to take vengeance.”

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20. II. Translate into Greek:—

(1) Answer (airoKpivaaOcu) and tell me how the affairs in the city now are.

(2) You cannot get anything from one who has nothing to give.

(3) Choose (alpHcrOai) any spot you like and we will go there willingly.

(4) Whenever he sees me approaching, he flies with all haste.

(5) The more we learn, the less we seem to ourselves to know.

15 III. (a) Parse Aaoe, Xiw, StvSptm, 'IXtco, evpta.

Give gen. and acc. sing, of irupa, OuXaauu, SeaTrdrtig, KuXXog, alSu>c, and nom. and dat. plur. of pi'trwp, aiXpa, iioTv, Trpia/3vQ, KVWV.

Decline ITCIQ (all genders) in sing, and OGTIQ (all genders) in plur.

Compare nivtjg, ntwv, ala^pog, /SpaStwg, awtypovwg.

15. (b) Give perf. act. 3rd sing, of (TTIXXM, iyzipw, opwpi, OKOUW,

tiktiTTh), and aor. inf. act. of dvairvtu), TrepiiriirTU), (rvp/Saivw, 6<pXi(TKdvw, ovivrj/ui.

Write out in full pres. ind. of vXeco, and imperf. ind. of Kadripcu.

Parse Set^ov, irierat, /BaSiovptOa, Kt^yzcu, rerpripivuiv, l^eirXdyrjaav, r)a6r)(j£i, ^rjvarft), tSixpr), eppuyao.

10 (c) Express in Greek:—

(1) I have need of this.

(2) Twice a day.

(3) To think much of, to think little of.

(4) To banish, to be banished.

(5) My city, my own city.

Translate with a note on idiom or syntax :—-

(1) Zavarov Kariyvuyijav avrov.

(2) OVK dvt^opcu Zwa-a.

(3) tWe (jyiXog r\puv ytvoio.

(4) (jyavepog tanv eirifiovXeuwv ripuv.

(5) /3ovXop.cu XaOelv avrbv ctTrsXdwv.

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GREEK.

HiGHER GRADE AND FIRST PAPER FOR HONOURS.

Friday, 22nd June.—2 to 5 P.M.

(Ca'iulidates will not receive a Certificate unless they reach the necessary Standard both in Grammar and Translation.)

28. I. Translate

"ETrara /atvroi o AiovTiaSrjQ iXOlov slg rove SKKXrirovg tXtye roidSe * '’Avbpsg AaKiSat/aovioi, MQ /ikv nToXtyunihe vfxiv ti\ov oi Qr)(3aioi irplv ra vvv Treirpaypiva yeviadai, icai vpuQ tAiytrt. iujpare yap aei rovrovg TOIQ plv vptrepoig SvapEvem <piXiu)g i\ovrag, rolg o’ vpETtpoig (piXoig f\6povg bvrag. OVK CTTI pev rbv tv Utipaiti Sfipov, iroXtpiwrarov ovra vpiv, OVK ifitArjaav ('vorparevtiv ; QioKtvai

St on vpag tvptvtig ovrag twpwv, tirtarpartvov; aX\a prjv KOI upog ’OXvvOiovg tlSortg vpag Trdhtpov tK</>epovrag %vppaxiav ETTOIOVVTO,

KO.1 vptig yt TOTE ptv aei irpoatixETt TOV VOVV, VOTE aKOvatadt fttaZoptvovg avrovg Tr]v YSoiwriav v(j), avroig tTvai ’ vvv 8’, ETTEI TUSE

TTETTpaKrai, OVSEV vpag Set Qrjfiaiovg <f>o(3£i<r9ai. aicovaaoi ravra roig AaKtSaipovioig ESO^E rr/v TE aKpoTroXiv, uxnrEp KaTtiXriTrTO, fivAarTtiv, Kal ’laprjviq. Kpitnv iroir\aai. ETTEI St avvEKaOt^tTo TO SiKaan'ipiov, TOTE b?) KarrjyOjOaro row lapr/vlov, Kai wg (3apf5apl%oi, Kal wf %evog njj Uepay ETT’ OVSEVI ayaOip Trig 'EXXaSoc ytytvripEVog t’lrj, KOX org riov Trapa /SacriXecug xpripdnvv pETtiAri^org arj. 6 8t airtXoyElTO ptv upbg Travra ravra, ov ptvroi ETTEIOE yt TO prj on ptyaXoTrpuypwv re KOI KaKOTTpdyputv tivat. Kal tKtivog ptv KaTE\pr}<pl(r9r) Kal airoOvriaKEi oi Se TTtpl AtovTiaSriv tl^ov Trjv TTOXIV.

II. Translate one of the following passages :—

(a) ’EXTrrjvop, Trwg hXdtg VTTO %6<pov pEpoevra ; E<p6pg TrtZog iwv rj tyw avv vp) ptXaivrj.

"Xlg trpdppv, 6 bt p otpoi^ag fipslfttro pvdy * [Stoytvtc AatpTtaSp, noAvppxav’ ’OSncro-tn,] dae pt Saipovog cuoa icaicr) Kal aOtaiftaTog divog" KlpKpg 8’ tv ptyapy) KaraXtypevog OVK ivopaa axpoppov Karafiijvai, twv tg KXtpaKa paKppv, aXXd KaTUvnKpv rtyeog ntaov ' EK St poi avxfiv aarpaydXwv tayp, fioxf) S’ "AiSogSe KarriXOtv. vvv bi at TWV omOtv yovvdZ,opai, ov TraptovTWv, irpog T 'ttXo^ou KOI irarpog, d a’ ETpEcfre TVTOOV tovra, I'pXtpaxpv 6’, ov povvov tvt peyapoiaiv tXenrtg ‘

pr\ p’ aKXavTov, adaTrrov, Iwv OTTIOEV KaTaAtlirEiv, voatyioOttg, pp Toi n Otwv ppvipa ytvwpai.

(b) XOPOS.

avaaoa, vvv aoi rtpxpig tp^avrig Kvpt7, TWV ptv TTapOVTWV, TO St irETTVOpEVri Xdy<f).

AHIANEIPA.

TTuig S’ OVK tyw xaipatp’ dv, avSpbg EVTVXH

KXvovoa rrpqlitv rr'ivSe, iravStKifj rpptvi; bpivg S’ EVECTTI rolcnv iv (TKOTrovptvoig

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rapfistv TOV ev irpaaaovTa, pri atyaXij nort tpoi yap OIKTOQ betvbg tloifiri, ravrag opunxy Svanorpovg, iirl Zevtjg %wpag aoiKOvg aTTaropas T aXwpivag, ai Trpiv piv rjaav 1% tXtvOtpwv '1<TU>Q

avSpwv, ravvv Ss 6ovXov 'la^ovatv j3lov. M ZEU Tpona~u, pi) Tror’ tlai&oipi as Trpbg Tovpbv ourw (Tirippa \iopfiaavTa TTOI,

jur;8’, £t TI dpacrtig, rrjardt ys Zwarig 6r(.

30. HI. Translate into Greek :—

(1.) He said He was a better general than I, but I maintain that in the affairs of war I surpassed not him only, but all who went before me.

(2.) I wonder that the Achaeans were not aware that they were fighting for a shadow.

(3.) When they might have ruled over the rest of Greece on condition of obeying the Persian king, they preferred to leave their country.

(4.) If you and I hold the same views on this matter, we need net trouble ourselves as to what the many think.

(5.) Do not allow him to say that if he had not been unlucky he would never have done so much wrong.

(6.) I am one of those who would gladly be confuted if I were found (<pa'ivopai) not to be speaking the truth.

g IV. (1.) Give (a) aor. pass. ind. 3rd plur. of avp^ipto, Siapptw. (b) perf. partic. nom. sing. fern, of OvpaKw, 'larr/pi. (c) aor. imperat. midd. 2nd sing, and aor. inf. act. of

KwXvU>.

10, (2.) Translate, with notes on the syntax : —

(a) Totg ayaOolg olg 'i'xpptv -^pcaptOa. (b) irapa piKpbv ■riXOov aTroOavelv. (c) TOVTWV <JOl OV <p6oVli](Th). (d) ol £iriT£Tpapptvoi rrjv (pvXaKijv. (c) TO ETT’ tKeivoig el vat. (/) Troppw crotpiag rpca.

(ff) psya ecTTtv tv aKOvtiv Wo t^anta^tXtwv avOpattriov. (h) Sid y’ vpdg avrovg ndXat dv diroXtbXttrt. (i) oTTojg TCtp't TOV iroXtpov pv.Stv tptlg.

(J) i) TTriyr) ptt paXa 'tpv^pov USUTOQ.

5, (3.) Express idiomatically in Greek, with special reference to the words in italics :—

(a) on the right hand. (b) to fight on horseback. (c) to make peace with the enemy. (d) to be at war with some one. (e) to live by the sea.

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5, (4.) Distinguish between

(a) OUTOQ and. oSe. (b) ZVVVQ and tvOv. (c) fiovXoLfxriv av and £j3oiAo/A»jv av.

(cl) TifMoptlv TIV'I and TipCtoptiadai Tiva

(e) t£w, (T^pcrco, and a^paopai.

GEEEK.

HONOURS (SECOND PAPER).

Monday, 25th June.—-2 to 5 P.M.

25, I. Translate:—

(1.) (cat TOUT avayiajc rponov TIV' ai/rtjji vvv ys $ri avpfiaivu. Xoyi^tade yap- ap\civ /SovXtrai, TOVTOU S’ avraywvicrrag povovg virtiX^ev vpac;. aSuctl iroXvv tiSt] xpovov, /cal rour’ OVTOQ apioru auvoiSev tauri^' ole yap ovcrtv vperipoiQ fX£l’ T°^TOlQ Travra raXX’ aaQaXuG (cs/crrjrat- ft yap ’AptyliroXiv icat UortSatav irpoeiro, ovS’ av o’/icot pii’eiv (dcfiaiwg riyuTat. apcportp’ ovv olSe, teat tavrbv vpiv tTrifiovXtuovra teat vpag alaOavoplvovg. ev (ppovtlv S’ vpag vwoXapfiavayv, Sticaiwg av avrbv piatlv vopt^ei icat irapco^uvrat, irdatodai n irpoaSoicwv, av Kaipbv XafirjTS, iav pr) tyOacn) iroiriaag irpoTipog. Sta ravr’ lypriyopev, f^farrjtcfv, £7rt rp TTOXH Otpairevsi Tivag, ®rifiaiovg Ka\ UeXoirovvtiaiivv rovgravra (3ov\optvovg Tovruig, ovg Sia ptv TrXsovstiiav ra Trapovra ayairptrsiv oierai, Sia Si (ncaiortjra rponuiv rwv pera TOVT ovSiv irpodipeadai. KULTOI (Taxfrpovovcr'i ye teat perptbjg ivapyrj TrapaStlypar eanv (OfTv, a /cat irpbg Mta-at/viove /cat TTpbg ’Apyslovg tpoiy’ elrrelv crvvejSr), fitXnov S’ ’lawg /cat wpbg vpag eartv elpUjcrOai.

15, (2.) [The Theban Herald addresses Theseus.']

fv piv TOS’ pplv, (xxnrep ev irenacng, St'Scog Kpeitraov’ vroXig yap f)g tyoi rrupeip’ ano evbg irpbg avSpog, OVK 6\X(^, KpaTvveraC ovS’ far tv avrrjv boug eicxavvwv Xbyoig npog KepSog ’/Siov aXXog aXXoae aTpeQei. 6 S’ avrix pSvg KOI SiSoiig TTOXXIJV x**Plv

elaaiidig efiXaxp’, ena SiafioXalg veaig icXexpag ra npoaOe rrcbaXpar’ e%eSv SiKrjg. a\Xwg re iriog av pi) SiopOeviov Xoyovg opQwg Svvair’ av Srjpog evQvvetv rroXiv ; 6 yap xpovog paOt^cnv dvrt rov rdyoue

Kpelcrcno StSioai' yanovog S’ avrip nevrig, el /cat yevoiro papaOhg, epytvv OTTO

OVK av Svvairo rrpbg ra /cotv’ aTrofiXeneiv, f) Sr) voawSeg TOVTO roig apelvomv, orav irovtjpbg a^uop avrjp tyr/,

yXwvcrip Karavxwv Srjpov ovSiv on> TO rrp'u.

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VALTJE. EXAMINATION PAPERS. 353

30. II. For Greek Prose :—

When their dinner is ready, before it is served up, the masters inquire of every particular scholar how he has employed his time since sun-rising : some of them answer, that, having been chosen as arbiters {SiaiTtfTriz) between two persons, they have composed their differences, and made them friends; some that they have been executing the orders of their parents ; and others, that they have either found out something new by their own application, or learnt it from tlie instructions of their fellows. But if there happens to be anyone among them who cannot make it appear that he has employed the morning to advantage, he is immediately excluded from the company, and obliged to work while the rest are at dinner.

15. III. Translate, with short notes on the syntax, pointing out any constructions which are Homeric or poetical: --

(1.) V'&TO aAp»}v. (2.) fir] vv rot ov xpcucpurj aKriUTpov /cat crTtfifia dtoio. (3.) OVK av rot xpaiapy Kidapig ra re Swp’ 'A^poStrije* (4.) StlSw urj di] TTavra 0ed vtipzprZa UTTZV.

(5.) <rae aAdyoo crijmyzii;. (6.) OVK av zZapvog yzvoio prj OVK zpbc vlbi- zlvm. (7.) TOV yovv ’OSvaiTza jurj oiiyl piazlv OVK dv Svvalptiv.

Distinguish between this use of pi) ov and that given under (6).

(8.) a OVTTOTZ riXiricrav iraOzlv.

15. IY. Answer one (not more) of the following questions

(1.) What do you regard as the elements of most permanent value in Greek civilization 1

(2.) Give some account (with dates) of the following events, noting in each case the historical results :—-The battles of Arbela, Arginnsae, Cremims, Lade, Mantineia, and the Peace of Antalcidas, the Peace of Philocrates.

(3.) Into what chief periods does the history of Greek literature naturally fall ? Describe briefly the main characteristics of each period.

FRENCH,

LOWER GRADE.

Friday, 22nd June.—10 A.M. to 12.30 P.M.

Candidates must, in all cases, answer all Questions in Section /., and should attempt four Questions from among the other Sections.

SECTION 1.

1. Translate into English

(a.) Ni Tom ni son pere ne se soucient beaucoup de ^instruction proprement dite. “ Quel avis final vais-je lui donner,” se demande le pere 1 “ Lui conseillerai-je de Men s’appliquer, et lui dirai-je qu’on I’envoie a I’ecole pout qu il

A A 15.

4013.

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apprenne bien le latin et le grec 1 Non, on ne 1’envoie pas i\ 1’ecole pour cela; du moins ce n’est pas principalement pour cela. Pourquoi done est-ce qu’on 1’envoie k I’ecole ? Ma foi, e’est en parti parce qu’il a envie d’y aller. Qu’il devienne un brave Anglais, utile, serviable, veridique, un gentleman, un chretien, e’est tout ce que je desire.” Et quand Tom, apres quelques annees, se demande ce qu’il est venu faire 4 I’ecole, il se repond a lui-meme, apres reflexion : “ J’ai envie d’etre le numero 1 au cricket et au ballon, et a tous les autres jeux, et de savoir me servir de mes poings assez bien pour garantir ma tete centre les poings de tout autre homme, gentleman ou rustre. J’ai envie d’emporter d’ici assez de latin et de grec pour me soutenir a 1’universite convenablement. J’ai envie de laisser ici derriere moi la reputation d’un garejon qui n’a jamais brutalise un petit ni tourne les talons devant un grand.”

(H. TAINE.)

9, (6.) LeQon de Lecture.

Au printemps, sous le feuillage, Le maitre d’ecole assis Fait aux enfants du village Oourtes logons et longs recits. Vieux balafre* de I’empire, De la voix les corrigeant, II dit:—M’eut-on fait sergent Si je n’avais pas su bien lire 1 A, B, C, D, point de cris, point de pleurs; Enfants, lisez, et vous aurez des fleurs.

(BERANGER.)

* vieux balafre = scarred veteran.

g_ 2. Turn chat into the feminine, and make the necessary alterations in the following sentence :—Ce chat est tres joli; e’est le plus joli de tous les chats.

Write in the plural:—Mon oncle est arrive. As-tu perdu ton joujou 1 j’ai trouve le mien; and in the singular:—Les fils de ma tante ont mis leurs chapeaux.

9, 3. Write in full the present subjunctive of avoir and the present indicative of etre. Give the present and past participles of avoir, etre, savoir, ouvrir, unir. Give the 3rd person plural of the present indi- cative of aller, mourir, faire, vaincre, appeler. Give the infinitive of verront, naquit, absolvant, puisse, dois.

7 4. Write in French words:—June 22nd 1900. I saw him on Saturday. 21, 21st; 94, 94th; 300, 302.

20. 5. Write from memory a French version of the passage read out.

SECTION II.

8. 6. Give the rules for the agreement of the past participle in French (1) after the verb etre, (2) after the verb avoir, (3) with reflexive verbs.

Translate:—My sisters have become old. Have they found the grammar which he has lost 1 They have dressed themselves. I have washed my hands.

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VALUE. EXAMINATION PAPERS. 355

8, 7. Give tliree rules to show when he is, she is, it is, they are, are translated by c’est and ce sont. Give one example of each.

8, 8. Translate into English :—

(a.) Les belles actions cachees sont les plus estimables. Quand j’en vois queiques-unes dans Thistoire, elles me plaisent fort Mais enfin elles n’ont pas ete tout-a-fait caehees, puisqu’elles ont ete sues; et ce peu par ou elles ont paru en diminue le merite; car e’est le plus beau, d’avoir voulu les cacher.

(PASCAL.)

(b,) Voulez-vous longtemps plaire et jamais ne lasser, Faites choix d’un heros propre a m’interesser, En valeur eclatant, en vertus magnifique ; Qu’en lui, jusqu’aux defauts, tout se montre heroique; Que ses faits surprenants soient dignes d’etre ouis; Qu’il soit tel que Cesar, Alexandre o.u Louis.

(BOILEAU.)

9. Translate into French :—

(a.) As for Louis the Great, he is more than mortal. Lift up your glances respectfully as he passes through the gallery where Villars, Vendome and Massillon are waiting. Can court be more splendid, nobles and knights more gallant and superb 1 A grander monarch, or a more miserable starved wretch than the peasant, his subject, you cannot look on. Let us bear both these types in mind, if we wish to estimate the old society properly.

(THACKERAY.)

(b.) In a certain house lived a little boy, and this boy had some tin soldiers, which had been given him on his birthday. They were twenty-five in number, but they had only forty-nine legs, for one of them had to stand upon one leg, because there had not been enough tin to make another leg for him. The soldiers lay together in a box until the boy took them out and set them up upon a table.

SECTION ly

8. 10, Give an account of the life of any oiie of the following:—

Moliere, Bacine, Corneille, Malot, Xavier de Maistre, Victor Hugo,

or,

Give an account of any one of their works. 4013. A A 2

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VALUE* 356 EXAMINATION PAPERS*

8, 11.—(a.) Translate into English :—

(1.) Nous nous empressons de vous remettre sous ce pH deux traites a 3 jours de vue sur MM. A. B. et Cie de votre place, Relevant ensemble a la somme de £1,000, dont vous voudrez bien soigner I’encaissement et crediter notre compte.

(2.) Vous trouverez cidnclus le bordereau de diverses obligations que nous vous chargeons de vendre pour notre compte.

(3.) II est membre du conseil d’administration de la compagnie.

(4.) II etait autrefois gerant de notre banque.

(5.) On vient d’ouvrir une succursale a Anvers,

(b.) Translate into French :—

(1.) We beg to acknowledge receipt of your favour of the 1st inst. enclosing your cheque for £51 Os. Od. in payment of our account, with which amount we credit you.

(2.) I have applied for a situation in a merchant’s office-

(3.) He receives a large salary,

(4.) Mr. X. is a wine-merchant, but he also does business in cotton.

(5.) The corn market.

(6.) Does he do a wholesale or retail business 1

(7.) Please send us some more samples of your goods.

FRENCH.

LOWER AND HIGHER GRADES AND HONOURS.

Friday, 22nd June.—10.45 A.M.

This paper must not be seen by any Candidate.

To be read out once or twice by the Supervising Officer (or a Teacher) at 10.45 A.M. The substance of this story is to be reproduced by the candidates in French from, memory. No notes may be made while it is being read.

There was once upon a timg a good man who had two children, a girl and a boy. The girl was as white as milk, and her lips were like cherries. Her hair was like golden silk, and it fell to the ground. Her brother loved her dearly, but her wicked stepmother hated her. “ Child,” said the stepmother one day, “ go to the grocer’s shop and buy me a pound of candles.” She gave her the money ; and the little girl went, bought the candles and started on her return. There was a stile to cross. She put down the candles whilst she got over the stile. Up came a dog and ran off with the candles.

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EXAMINATION PAPERS. 357

FRENCH.

HIGHER GRADE AND FIRST PAPER FOR HONOURS GRADE.

Friday, 22nd June.—10 A.M. to 1 P.M.

Candidates must, in all cases, answer Questions 1 and 2, Section I. ; and should attempt six questions from the other sections.

SECTION I. 1. Translate—

8. {a.) Ni Tor ni la grandeur ne nous rendent heureux. Ces deux divinit^s n’aecordent a nos voeux Que des biens peu certains, qu’un plaisir peu tranquille : Des soucis devorants c’est I’eternel asile . . . L’lmmble toit est exempt d’un tribut si funeste. Le sage y vit en paix et meprise le reste. Content de ses douceurs, errant parmi les bois II regarde a ses pieds les favoris des rois ; II lit au front de ceux qu’un vain luxe environne Que la Fortune vend ce qu’on croit qu’elle donne. Approche-t-il du but ? Quitte-t-il ce sejour 1 Rien ne trouble sa fin, c’est le soir d’un beau jour.

(LA FONTAINE.)

6. (b.) J’ecris pres de la lampe. II fait bon. Rien ne bouge. Toute petite, en noir, dans le grand fauteuil rouge, Assise au coin du feu ma vieille mere est la. Elle songe sans doute au mal qui m’exila Loin d’elle, 1’autre hiver, mais sans trop d’epouvante Car je suis sage, et reste au logis quand il vente. Et puis, se souvenant qu’en Octobre la nuit Pent fraichir, vivement et sans faire de bruit Elle met une buche au foyer plein de flammes. —Ma mere, sois benie entre toutes les femmes.

(F. COPPKE.)

8. (c.) Les Parthes n’avaient point d’infanterie, mais une cavalerie admirable : ils combattaient de loin et hors de la portee des armes romaines; le javelot pouvait rarement les atteindre ; leurs armes etaient 1’arc et des fleches redoutables; ils assiegeaient une armee plut6t qu’ils ne la combattaient: inutilement poursuivis, parce que chez eux fuir e’etait com- battre, ils faisaient retirer les peuples a mesure qu’on approchait et ne laissaient dans les places que les garnisons; et, lorsqu’on les avait prises on 6tait oblige de les detruire. Ils brulaient avec art tout le pays autour de I’armee ennemie, et lui btaient jusqu’a 1’herbe meme; enfin ils faisaient la guerre a peu pres comme on la fait encore aujourd’hui sur les memes frontieres. D’ailleurs, les legions d’lllyrie et de Germanic qu’on transportait dans cette guerre n’y etaient pas propres : les soldats, accoutumes a manger beaucoup dans leur pays, y perissaient presque tous.

(MONTESQUIEU.)

A A 3 4013

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EXAMIlSfATfoft PAPERS.

(a.) Write from memory a French version of the passage read out.

(b.) Translate into French—

Half of these stories about the prodigious fortunes made by begging are, I verily believe, fnisers’ calumnies. One was much talked of in the public papers some time since. -A clerk in the Bank was surprised with the announcement of a five hundred pound legacy left him by a person whose name he was a stranger to. It seems that in his daily morning walks from Peckham (or some village thereabouts), where he lived, to his office, it had been his practice for the last twenty years to drop his halfpenny duly into the bat of some blind Bartimeus that sat begging alms by the wayside in the Borough. The good old beggar recognised his daily benefactor by the voice only; and when he died, left all the amassings of his alms to his old Bank friend.

I sometimes wish I had been that Bank clerk. (LAMB.)

SECTION II.

Translate, and distinguish between:—■

II tarde 4 venir, and II me tarde d’avoir fini. J’ai demande 4 reflechir, and Je lui ai demands de reflechir. J’attends qu’il vienne, and Je m’attends 4 ce qufil vienne. Pourquoi voulez-vous que je me taise ? and Pourquoi m’en voulez-

vous de me taire ?

8. 4. State fully the rules of agreement of the past participle of reflexive verbs. Make illustrative sentences, using the verbs se repentir, se servir, se succeder, se plaire.

6. 5. Give the first person singular of the present, conditional and present subjunctive of ; va, crd, sus, lui, vicu, fis, mart, atteint,

8. 6. When does faire followed by an infinitive govern the dative of the person and when the accusative 1 Give examples.

8, 7. Translate into idiomatic French :— (a.) This is more difficult than I had thought. (b.) He is not likely to answer at once. (c.) I have not seen her for a long time. (d.) Ho sympathised with and fought for our cause.

8. 8. Translate into idiomatic English (a.) II ne fait rien qui vaille. (6.) J’en suis pour ma peine. (c.) Qui se ressemble s’assemble. {d.) II ne faut pas vendre la peau de Tours avant de Tavoir tue.

SECTION HI.

8. 9. Give the French words from which the following English words are derived:—Peer, Roastbeef, Tunnel, Petticoat, Kennel, Flirt, Frenzy, Sir.

8. 10. What remains are there in Modern French of the synthetical Latin way of forming comparatives ?

358

10.

20.

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VALUE, EXAMINATION PAPERS. 359

/

8. 11. Show by some examples that in most cases the forms of the so- called irregular verbs are regularly derived from the corresponding Latin forms.

8. 12. Translate into English and account for the formation of the following words:—Harmis, aini, orftwe, nktnmoim, paravent, bonheur, rez-de-chauss4et Mias.

8, 13, Translate into Modern French:—

II entrerent el palais qui mult ere riches et Max, et troverent li due et son conseil en une chambre ; et distrent lor message en tel maniere: “ Sire, nos somes a toi venu de par les hals barons de France qui ont pris le signe de la croiz por la honte Jesu- Christ vengier, et por Jerusalem conquerre, se Diex le voelt soffrir. Et porce que il savent que mule genz n’ont si grant pooir comme vos et la vostre gent, vos prient por Dieux que yous aiez pitie de la terre d’oltremer.”

{VlLEEHARDOIN.)

SECTION IV.

g 14. Name the six or eight principal writers of the XVIIIth century. Give a short sketch of the life of one of them and the titles of his chief works.

15. State by whom and approximatively when the following works were written:—Atala ; Le Lutrin ; Le Bonian d’unjeune homme panvre •

* TraiU de VEducation des Jilles; Le Ldgataire universel; Paul et Virginie / Les Plaideiirs; Consuelo; Hernani; La Princesse de Clbves; EugSnw Gh-andet; Gil Bias.

g 16. Give a summary of any one of the above-mentioned works which you have read.

g 17. Analyse one of the chief characters in one of the following works —Britannicus; Polyeude; Les Femmes Savantes; Le Bourgeois Gentil- homme; Mdrope; Le Barbier de Sdvitte ■ Corinne; Cinq-Mars; Les Miserab les ; Le Gendre de Monsieur Poirier ; Colombo.

SECTION V.

18. Translate into English

MESSIEURS, Genes, le 2 Mars 1900.

Nous vous prevenons que nous avons charge aujourd’hui a votre adresse par le vapeur “ Pernambuco ” cinq colis de diverses marchandises, dont vous trouverez cbjoint le connaissement et la facture. Par le prochain courrier nous vous donnerons nos instructions relatives a cet envoi.

Votre remise du 5 courant, consistant en trois effets 4 dix jours de date .ensemble Fes. 385, nous ,est bien parvenue.

Notre marche aux cotons se maintient toujours en hausse, et de fortes parties ont ete vendues ces 'jours-ci a des priy avantageux.

Veuillez agreer, Messieurs, nos salutations bien empresses,

* * * & ClE.

4013. A 4 *

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360 EXAMINATION PAPERS.

19 Translate into French :—•

DEAR SIRS, New Orleans, 8th January 1900.

We acknowledge receipt of your favour of the 29th ultimo. According to your instructions, we paid the invoices for the

goods you had ordered, and we send you herewith, together with the bill of lading, the receipted invoices and our account amounting to 105/., for which amount we have drawn on you at 3 months.

The goods have been carefully shipped,.and the steamer leaves to-morrow.

We remain, dear Sirs,

Yours faithfully, * * *

20. Translate into Knglisli

(a.) Ces messieurs sont maitres de forges en Ecosse. (b.) Nous ne connaissons ni les armateurs ni les consignataires de

la cargaison. (c.) Les marchandises sont de diverses provenances. (d.) Faire un arrangement a 1’amiable. (e.) La concurrence entre les deux pays est tres grande.

21. Translate into French :—

(a.) He is a wool-broker. (b.) Our friends are in the corn trade here. (<•.) Please send me a statement of your expenses. (d.) The firm has failed for a large sum. (e.) We gave him a letter of introduction to one of the Glasgow

banks.

FRENCH.

HONOURS—SECOND PAPER.

Thursday, 28th June.—10 A.M. to 1 P.M.

Candidates must, in all eases, answer Questions 1, 2, and 3, and should attempt at least three (AND NOT MORE THAN FIVE) of the remaining Questions.

SECTION I.

1. Translate into French:—

(a.) We all know how unwilling we are to admit the truth of any disgraceful story about a person whose society we like, and from whom we have received favours; how long we struggle against evidence, how fondly, when the facts cannot be disputed, we cling to the hope that there may be some explanation or extenuating circumstance with which we are unacquainted. Just such is the feeling which a man of liberal education naturally entertains towards the great minds of former ages. The debt which he owes to them is incalculable. They have guided him to truth. They have filled his mind with noble and graceful images. They have stood by him in all vicissitudes, comforters in sorrow, nurses in. sickness, companions in solitude!

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VAIATE.

leT

8.

7.

EXAMINATION PAPERS. 361

(b.) We said that the history of England is the history of progress; and, when we take a comprehensive view of it, it is so. But, when examined in small separate portions, it may with more propriety be called a history of actions and reactions. We have often thought that the motion of the public mind in our country resembles that of the sea when the tide is rising. Each successive wave rushes forward, breaks, and rolls back ; but the great flood is steadily coming in. A person who looked on the waters only for a moment might fancy that they were retiring. A person who looked on them only for five minutes might fancy that they were rushing capriciously to and fro. But when he keeps his eye on them for a quarter of an hour, and sees one sea- mark disappear after another, it is impossible for him to doubt of the general direction in which the ocean is moved. Just such has been the course of events in England.

(MACAULAY.)

SECTION II.

2. Translate into English :—

(a.) Madame de Castries etoit un quart de femme, une espece de biscuit manque, extremement petite, mais bien prise, et auroit passe dans un mediocre anneau; ni gorge, ni men ton, fort laide, hair toujours en peine et etonne; avec cela une physionomie qui eclatoit d’esprit et qui tenoit encore plus parole. Elle savoit tout: histoire, philosophic, mathematiques, langues savantes ; et jamais il ne paroissoit qu’elle sut mieux que parler francois: mais son parler avoit une justesse, une energie, une eloquence, une grace jusque dans les choses les plus communes, avec ce tour unique qui n’est propre qu’aux Mortemarts; aimable, amusante, gaie, serieuse, toute a tous, charmante quand elle vouloit plaire, plaisante naturellement avec la derniere finesse (SAINT SIMON, Memoires.)

(b.) Rome meprisee par les peuples vaincus'.

Com me on passe en ete le torrent sans danger Qui soulait (used) en hiver, etre roi de la plaine Efc ravir par les champs, d’une fuite hautaine, L’espoir du laboureur et Fespoir du berger; Comme on voit les couards animaux outrager Le courageux lion gisant dessus Tarene, Ensanglanter leurs dents, et d’une audace vaine, Provoquer 1’ennemi qui ne se peut venger; Et comme devant Troie on vit des Grecs encor Braveries moins vaillants autour du corps d’Hector ; Ainsi ceux qui jadis soulaient, a tete basse, Du triomphe remain la gloire accompagner, Sur ces poudreux tombeaux exercent leur audace, Et osent les vaincus les vainqueurs dedaigner.

(c.) Retire d une femme, pendant le siSge de Paris (par ballon monte 10 Janvier 1871).

Paris terrible et gai combat. Bonjour, madame. On est un peuple, on est un monde, on est une ame.

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VALUE. 362 EXAMINATION PAPERS.

Chacun se donne a tons et nul ne songe a soi. Nous sommes sans soleil, sans appui, sans effroi.

Nous mangeons du cheval, du rat, de Tours, de Tano. Paris est si bien pris, cern6, mure, none, Garde, quo notre ventre est Tarche de Noe ; Dans nos flancs, toute bete, honnete ou mal famee, Penetre, et chien et chat, le mammon, le pygmee Tout entre, et la souris rencontre Telephant. Plus d’arbres; on les coupe, on les scie, on les fend; Paris sur ses chenets met les Champs-Elysees, On a Tonglee aux doigts et le givre aux croisees ; Plus de feu pour secher le linge des lavoirs.

On vit de rien, on vit de tout, on est content, Sur nos tables sans nappe, ou la faim nous attend, Une pomme de terre arrachee a sa crypte Est reine, et les oignons sont dieux comme en Egypte. Nous manquons de charbon, mais notre pain est noir.

(V. HUGO.)

SECTION III.

10. 3. Explain the differences in meaning between the following French and English words and illustrate these differences by appropriate sentences:—1, faillir and fail; 2. conMe and country; 3. acompte and account; 4. rapport and report; 5. user and use; 6. opportunity and opportunity; 7. gaiU and gaiety; 8, tracer and trace; 9. vilain and villain; 10. galant and gallant; 11. exposer and expose-, 12. tourner and turn; 13. icolier and scholar; 14. femelle and female; 15. vaguer and vacate; 16. vacance and vacancy; 17. enfant and infant; 18. attendre and attend.

8. 4. Explain the differences in meaning between the following French and English homophones (i.e. wqrds the sounds and orthography of which are common to both languages), and illustrate these differences by appropriate sentences:—office^ confidence, translation, instance, issue, franchise, licence, partisan.

8. 5. Give two distinct French words, illustrating their meanings by appropriate sentences, for the following English homonyms (words with more than one distinct meaning) -.—paper, spirit, complaint, state, train,

8. 6. Explain the difference in meaning between the following French synonyms, illustrating these differences by appropriate sen- tences :—1. labeur, labour, travail, corvie ; 2. salaire, gages, appointements, honoraires, iraitement.

8 7. Form four derivative nouns and verbs from any six of the following ;—cceur, besoin, serf, nerf fer, rang, chemin, chaine, mont, ton.

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VALUE.

8.

EXAMINATION PAPERS. 363

8. Translate the following sentences, and explain why in each case the past participle remains unchanged, or why there is agree- ment :—

(a.) Les longues annees que Louis XIV a vecu apres Colbert. La triste vie qu’il a vScue

(b.) Ils se sont donnes a la boisson. Ils se sont donne rendez- vous.

(c.) Ils se sont propose comme exemples. Ils se sont proposes comme exemples.

9. Translate the following sentences, and correct them where they are incorrect:—

(a.) La bataille de Waterloo ne fut rien moins qu’un desastre irreparable pour Napoleon.

(b.) La bataille de Waterloo ne fut rien de moins qu’un desastre pour la France, car elle delivra le pays de la tyrannic de 1’aventurier corse. '

(c.) “Hernani” de Victor Hugo n’est rien de moins qu’un chef-d’oeuvre.

{d.) “Le Misanthrope” de Moliere n’est rien moins qu’un chef- d’oeuvre.

SECTION IV.

8. 10. Give a brief account of Rabelais’s great novel. Compare the genius of Rabelais with that of Swift.

8. 11. Compare and contrast the Essays of Montaigne and those of Bacon ; or the novels of George Sand and those of George Eliot.

8. 12. Assign the following works to their respective authors. Characterise them in a few words :—Jocelyn; Les Travaillews de la Mer ; les Tragiques ; Mithridate ; Gil Bias; le Dictionnaire Philosophique ; Emile ; Lettres Bersanes.

8. 13. Give a brief account of the following:—Jean-Jacques Rousseau ; Jean-Baptiste Rousseau ; Chateaubriand. Describe more particularly any single work of any one of these authors.

SECTION V.

8. 14. Write an essay in French (not exceeding 40 lines) on one of the following subjects:—

(a.) Les defaites sont souvent plus glorieuses que les victoires.

(b.) Les plus belles victoires sont celles que 1’on remporte sur 1’ignorance.

(c.) L’orgueil est si radicalement different de la vanite que souvent il 1’exelut.

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VALUE. 364 EXAMINATION PAPERS.

GERMAN-

LOWER GRADE.

Thursday, 21st June.—2 P.M. to 4.30 P.M.

To secure full marks, the whole of this Paper should be answered. Additional marks will be given for fair writing in the German character

SECTION I.

17. 1. Translate into English :—

(a.) 9iacl) shxi $agen fam er in eine grofc ©tabt, bte am s3Jieere lag ; l)ter mat »tel 33olfg tserfammelt, benn bet £onig beS SanbeS mollte «§o^eit tjalten. 3)a faufte fic^ unfet ^elb jmei fd)one Dioffe, nal)m ftd? etnen 2)tener, fletbete i()n unb ftc^) (rlbft aitf§ fc^bnfite unb fef)rte tm beften @aftf)aud bet 0tabt ein. (i)te junge Sbbmgin fam iibet bag s)3?eet (jet, unb f)errltc^ mat il)t (Smpfang, alg fie an6 Sanb ftieg, unb tl)t @emal)l nebff Dieleu giirften unb ^erten i^t entgegen ritt. T)anac^ maf)tte bte ^od^jeitgfetet (ec^g SBocften lang; unb bet trembling fal) alleg mit an unb f)atte fetn 28ol)lgefalien batan. @ein 28irt abet futc^lete, er mbc^te ol)ne Sejafjltmg barton gef)en, unb fagte eineg Jftorgeng ju tl)m : „@utet greunb, ic^ fenne iSuc^ ntcftl, fetb fo gut unb be^al)!! mid) alle ^age." T)a lacfite bet @aft, ^og l)unbert blanfe kronen aug bet Uafc^e unb frrad): ,,2iebet slJtann, nel)mt bieg @elb; unb menu 3^t meint, ic^ felbft ober met mit mit fommt l)atte mef)t oerje()tt, (o mill it^t @ud^ mel)t geben, unb 3f)t brau^)t mir nic^t 9led;nung batubet abjulegen." 2)et 2Birt griff mit beiben ^tdnben nai^ bem ®elbe unb ftng an, ben fremben @aft fyod) in @§ten ju fjalten: fo oft et oot iffn'trat, fa^te er an bie s3Jiuf$e; aucf) fe^te er iffn ju ben SSorneljmftcn oben an bie Safe! unb gab if)m ein beffereg Simmer ju bemofjnen atg er bigf)er eingenommen ^atte.

9iac^ ®. ©c^mab, ®efc^i(|ten unb ©agen.

8, (b.) 2)ag ©c^mert. 3ut ©c^miebe ging ein junget ^>elb,

@r tjatt’ ein guteg ©cftmert beftellt; ^Docf) alg er’g mog in feiner <§anb, 2)ag ©t^mert er oiel ju fdjimet erfanb.

2)er alte ©d^mieb ben 33art ftcft ftreirftt : „T)ag ©c^mert ift nidd ju former nodft leic^t; 3u fcftma^ ift ®uer 2(rm, i($ mein’, 2)ocf> morgen foil gef)olfen fein."

„%ein, ffeut’! bei aller ?)iitterfd;aft! Surc^ meine, nid)t burcft geuerg £raft! “ 2)er Siingling fpricbt’g, i§n ifraft burcftbringt, 2)ag ©dftmert er Ifod) in ?iiften fc^mingt.

2. Ufelanfc,

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Value. EXAMINATION PAPERS. 365 15, 2. (a.) Write from memory a German version of the passage read oiit. 20, (b-) Translate into German :—

In a German village lived an old peasant with his three sons, They were strong, handsome youths, but very lazy. One morning the brothers sat in the kitchen, and breakfasted. The father was always up long before them. Charles looked out of the window and said, “ Where can the old one be ? I do not see him in the field.” “Look” {familiarform), cried John, the eldest, “ there hangs his cap on {say, at) the wall, he must still be asleep.” Fred, the youngest, ran up the stairs, but soon came back, crying, “ He is lying in his bed : he is dead.” Then they wept like little children, and did not know what to do {say, what they should do).

Section II. 4, 3. Give the nominative and genitive singular and the nominative

plural, with the definite article, of the German for any twelve of these words :—letter, string, lamp, nail, place, arrow, wood, lady, shoulder, colour, enemy, grave, stag, wreath, snake, dream.

4 4. Decline, singular and plural, the German for cold wind, this good woman, which child, and the first personal pronoun. 4, 5. Write out in German words:—5, 11, 13, 16, 17, 33, 41, 57, 66,

177 3 the 1st, 103rd; |, |; on 2 March 1889. 4- 6. Write out (giving, in the 2nd person singular, only the familiar form ; and in the 2nd plural, both the familiar and the polite

forms):— {a.) The present and imperfect indicative active of neljmen

and IPtffcn. (b.) The perfect indicative and imperfect subjunctive of

flefjen. (c.) The present and perfect indicative passive of fcf)(agert.

4 7. Write out— {a.) The 3rd person singular present and imperfect indicative,

and perfect subjunctive active of Itfen, turfen, laitfen, t£)un, bergeffen, jjclfen.

{b.) The familiar 2nd person singular present indicative, imperfect subjunctive, and imperative active of tverfen, tretcn, bitten, be[ef)en, abbred;en.

Section III. 4. 8. Write out the German names of {a) the four seasons; (6) the months; {c) the days of the week. 4, 9. Explain what you understand by strong and weak nouns, and strong

and weak verbs; and give two examples (not already mentioned in the foregoing questions) of each kind.

4. 10. Form complete sentences illustrating the government of the propositions inegen, auS, burcb, an, nad), n?af)tenb, o!)ne.

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VALUE EXAMINATION PAPERS. 4, 11. Mention the titles of six German plays, by as many authors, giving the names of the latter, and stating briefly what you know of

the plot of one of them. 4, 12. State by whom the following poems were written :—-bte ©lode, i)e$

@anger§ g(ud), bet £aucf)er, bet ©anger, bie ©renabiete, ba3 9itefenftriel$eug, ©cbafet6 ©onntagglieb, bet reic^fte giitff, 33arbatoffa; and, if possible, write out the first verse of one of them.

GERMAN, Lower and Higher Grades and Honours.

Thursday, 21st June.—2.45 P.M. This paper must not he seen by any Candidate.

To be read out once or twice by the Supervising Officer (or a Teacher) at 2.45 P.M. The substance of this story is to be reproduced by the candidates in German from memory. No notes may be made while it is being read.

A stranger who was travelling with a friend fell ill in a small French town. The doctor who was called thought they were poor, and said, “ I hope you have money enough to pay me.” The friend pulled a hundred francs from his pocket, and replied, “You shall have this, whether you cure or kill him,” The sick man died, and was buried. When the other did not send the money, the doctor went and asked him why he did not pay him. “ Did you cure my friend ? ” asked the stranger. — “No, sir.” “Did you kill him 1 ”—“Certainly not.” “ What right have you then to demand the money 1 I wish you a good morning, sir.”

GERMAN . Higher Grade and First Paper for Honours,

Thursday, 21st June.—2 p,m. to 5 p.M, Candidates must, in all cases, answer Questions 1 and 2, Section I,; and

should attempt eight questions from the other Sections. Additional marks will be given for fair writing in the German character,

Section J.—Translation and Composition. 1. Translate into English :—

(a.) Unter btefen 9leben tnaren mit bi6 jut S3rurfe gefommen bie fiber ben 2kuf)(bad) fu()rt, non ba an fotfte id? meinen 2Beg alfein gefjen. ©inige fjunbert ©d?ritte tneiter ben Serg fgnauf lag bie fDMfyle, beren nmfjeg ©emauet ioit burd? baS Saubtoerf fd?immern fa^en; baS fMfjltab ffanb [fill, unb e$ rpar nid?tg ju

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Value. EXAMINATION PAPERS. 36 7

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t)5ren a(6 ba6 ^aufc^en beg SBafferg imb etnjelne SSogelrufe. $or ung am £)tng ber s3Konb, etne female, faum ftcbtbare ©ic^el; itnb t)inter img ftanben tiefrote SBolfen iiber ber Sonne. s)J?an fann nicbt immet barauf ac^ten, mag bie 2BeIt um ung t)er fur etn (*ieftd)t macfit, aber ba tonnf icb’g gerabe, unb eg fain mir aiffeg fo friebfam oor, ba.^ id; lange ftiflffanb, fo facbt Sfte.m ^olenb, ba^ ftcb faum bte 33ruff mtr bab, unb ba<f)te, bag Seben mar’ bod; eigentlid; gar ein einfd)metcl;e^nb, 2)ing. 2l(g icf) metnem ©ruber bte *£>anb ^um Slbft^teb reicbte, fuf)Ue bte ©retter leife unter mtr erjittern unb merfte, eg fame femanb oon ber anbern Seife fiber bte ©rude; d)e tcb mid^ aber umfef)en fann, mer ba fei, bafj tcb tf)n oorbetlie^e, fef)’ tdb metneg ©ruberg Slugen grofj merben, unb bte 9fote tf)m tng ®eftcf)t ffeigen. Scfi roenbe mtcb alfo, unb oor mtr ftef)t ein s)Jiabcf)en—beg s3Rullerg Softer, mie ic^ aug beg ©ruberg @ruf erfaf), SSttarie^ief gef)eifien. 3a, bag mar eine 2)trn’! 3ebeg @lieb mie gebred;felt; meltig baufc^te ftt^ bag goibgelbe <§aar fiber ber Stirn auf, unb jle! in iangen [d;meren 3^fen f)erunter; unb aug bem fd)muden @efid;t, fo meijirot mie eine gefunbe Sipfelblfite, fdjiauten gro^e, fornbiumen# biaue 2lugen ebenfo Hug mie treuf)er$ig in bie SBelt. @in menig oeriegen an if;rer Sd;firje brefjenb, fagte fte jum ©ruber, er mbg'e bod; auf ein 98eild;en ing ^aug treten, if)re ©item mfirben fief; freuen. 2)a brfidte er mir ftiH bie ^anb unb fcf)ritt of)ne ein SSort mit if)r bafjin auf bem 2Bege, ber ^ur s2Rfi§(e ffif)rte.

Submig 2Iitj$engruber, 2)orfgange. 10, (b.) (Siuft traf ber 2Beg, ber eben oor i§m lag,

Siuf einen ©Salb. (Sr ritt bei Sturm unb 9tegen ©alb linfg, balb recfitg, ben ganjen langen 2ag Unb mufit’ oft erft mit feinem breiten 3)egen 2)ur(f)g milbe ©ebfifd; ftc^ einen Stuggang f)au’n. (Sr ritt bergan, um freier umjtift^au’n: ©Self i()m! 2)er 2Ba(b fc^eint ftdfi nacf; alien Seiten 3e tnef)r er ft^aut, fe meiter augjubreiten.

SBag gan^ natfirlid; mar, bauc^t if)m ein Bauberfpiel. 9Bie mirb il)tn erft, ba in fo oielen ©rfinben, 2Boraug faum moglic^ mar, bei 2age ftc^ ju finben, 3ule§t bie 9iad;t i§n fiberfiel! Sein Ungemad; erreicf)te nun ben ©tpfel; £ein Sterncfien glimmt burd; bie oermad;fnen SBi^fel; (Sr ffif)rt fein $ferb, fo gut er fann, am 3aum llnb ftbft bei febem 2ritt bie Stint an einen ©aunt.

d. Wt. ©Bielanb, Dberon.

10. 2. (a.) Write from memory a German version of the passage read out. 25 (b.) Translate into German:—

The elder Rousseau was the son of a shoemaker in Paris Having received an excellent education and spent several years abroad, he returned to his native city. One day he was present at a very distinguished company where he was treated with the

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Value. 368 EXAMINATION PAPERS. greatest honour. Suddenly a plainly dressed man came up to him with open arms as if he meant to embrace him. The poet stepped back and exclaimed with indignation, “ What do you want from me '!■ I do not know you 1 ” “ What,” replied the other, “you do not know your own father 1 ” The proud poet, however, turned away as if it were the greatest disgrace to be the son of a lowly artisan. A kind-hearted gentleman, feeling sorry for the deeply hurt old man, took him by the arm, and accompanied him to his home. But the ungrateful son did not escape his punishment; though everyone admired his genius, most of those who knew him felt nothing but contempt for his character.

Section II.—Grammar. 5. 3. Give the nominative and genitive singular, and the nominative

plural, with the definite article, of the German for any ten of these words :—choice, treaty, ware, transgression, beam, care, sense, dragon, adventure, grandson, stain, wooer, hole, chapel, paw, spit.

5. 4. Decline the German of :—(singular and plural) 7 poor hoy; thm little girl; all his wealth {riches); much strong wine ;—(singular) nobody, every man {one word).

5. 5. Distinguish between :—ber 2151af, bev 21nla|3; bie iBeratilaffung, bie «g)cvablaffung ; bebatflicf), bebacfyttg; munbig, munblid?; fogletd), $ug(etc() 5 ber Scfyranf, bie $d)ranfe; ba3 bag ; bie 2Beifen, bie SBaifen; beinnad), bennod) j mir iff bange »or if)m, mir iff bange urn i()n.

5. 6. Mention Jive nouns with double plurals, and jive others for the plurals of which either different cognate stems or compound forms have to be used. Add the plural, or plurals, and meaning in each case.

5. 7. Give the 2nd person singular {familiar form) of present and imperfect indicative, imperfect subjunctive, and imperative; and the infinitive with ju, and the past participle of petberbeit, ablefen, entwenbcn, bcfpvecfyen, reranlaffen, u'egfabven, argmUmen, fid; tterbergen, burcbbvingen, burcf'bnngcn.

5. 8. Show by examples in what cases the Present Infinitive Active is used in German, {a) for the Past Participle Passive; {b) for the Present Participle Active; (c) for the Present Participle Passive.

Section III.—Philology and Word-Formation. 5. 9. Mention five adjectives in T-av, five in ;fa»t, and five in 4fd), with

their meanings. 5. 10. Give the verbs (each in its three principal conjugational forms)

from which ten of the following nouns are derived:— gludd, ©tuff, iWadu, Tfiob, ®crftanb, Twtmmft, ©lut, 3itdit, ©cfcbepf, ©efd;dff, 2d;luffc(, 3til), ©efd;tc^ty

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Value. EXAMINATION PAPERS. 369

M

5. 11. Form simple (not compounded) adjectives with their meanings from any ten of these:—Sriibfal, Slrgev, Scfjauber, ^ugel, Staffer, X>teb, ^aub^iv idebc, firtcg, Saminev, s^u()e, (Srbe, bcr

5. ] 2. Form abstract nouns (with the definite article and the meanings) from any ten of these:—lieblid), JbUnb, permanbt, leicbt, bb(e, ftceng, vein, mtlb, efenb, abmefen.b, nap, jup, bitter, ration, feplerpajft.

5. 13. Give the German, or English, words corresponding etymologically to any ten of each of the following two sets of words ; adding the actual meaning of the German word when it differs from that of the English word :—

(a) island, girdle, cleft, hawk, keel, trust, stalk, sill, pawn, stove, rye ; meagre, forth; to leave, to gloat,

ip) $fote, 3&()te, £rog, $ult, £bd;er, Sturj, 2Burf; fjtol^, fatt pager mtber; preben, (an,(open, faufen, feufjcn.

Section IV.—Literature an© Commercial Correspondence, (Not more than two questions .to be answered from this Section.)

5. 14. Mention five of the s))?tnnefanger and their chief works. 5. 15. State what you know of the ©dwitbifcpe 'Dicpterfcpuleand give a

fuller account of one of the writers of that school. 5- 16. What is meant by the ^retpeit^f&ngec.? Give the principal works

of two of them. 17. Assign any ten of the following works to their respective authors,

stating, in a word, to what class of literature they belong:— SicpteHftdn, ©tintwen bet Golfer, Urtd 21cnffa, bie ^bberiten, bie Slpiten, £ab«le unb Stebe, ber ©pajiergang, 9(b.mifcbc ©legten, bie Slpnfrau, 2)emetriu6, Suite, Vaofcon, ber nrine ^eimicf), Xriftan unb 3folbc, ^falter unb ^arfe.

5. 1-8. Write, in German, to a young German whose name you are supposed to have got from a mutual friend, and who attends a technical college at Hanover, asking his advice as to whether that institution would be a suitable one for you to attend with a view to acquiring a good commercial education,

^ 19. Answer the preceding letter in a negative sense, giving your reasons, and recommending at the same time another school either in the same or some other town, and mentioning some suitable person or family who might be likely to take in a young foreigner,

5. 20. Apply to the party referred to by the German correspondent, stating what sort of accommodation and personal assistance you would require, and asking for information regarding his, or her, terms.

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370 EXAMINATION TAPERS.

GERMAN. Honours. —Second Paper.

Thursday, 28th June.—2 P.M, to 5 p.m. Candidates must, in all oases, answer Questions 1 and 2, Section I.; and

should attempt eight questions from the other Sections. Additional marks will he given for fair uniting in the German character.

Section I—Translation and Composition. 1. Translate into English

a. Unenvartet naf)tn Ihr $ob (S'bitfja »on Ottog @dte, a(g fie jipct itinber, bte fte il)m geboren Ijatte, lieblid) erblu^en fal). Slc^tje^n 3a()re ()atte bie angdfac^ftf^e itbnig6tod)ter unter ben 2)eutf(^en gelebt, unb alle bewetnten i()v (Snbe, bn fte inefyr gleicb einet liebenben Gutter, benn aI6 cine oTonigin, unter bent i&dfe gemaltet f)ntte. ©d)on il)re 3dt Peret)rtc fte trie etne ^)eilige, benn retne, tt»a[)ve unb inntge gvbinmigfeit tvc»f)nte in ifyret Seek unb gab ftd) in ebkn SBerfen cfiriftiicfier Siebe funb. Dft foil il)r ©ebet ben ^bnig aug grower 53ebvangnig gerettet ffaben, oft minbcrte il)re Surbitte feinen ^eftigen Sinn. So fturmifcb Ottog war, bag jarte SBeib befcbtoic^tigte if)n. 51 [g er einft feine Gutter tpegen il)m s>lii(bt^atigfeit fcbalt, unb biefc fid) tiefgefranft »om ^ofe entfernte, rufyrte @bitl)a bag ^ler^ beg ©emafflg, unb reuig bat er bie Gutter um 5?erjeif)ung.

2B. o. @iefebred)t, @efcf)id)te ber beutfc^en £aiferjeit. b. 2)er Sommer roar oergangen, ber ^erbjl gefommen. 2Uleg

Saubtoerf in ben Spa^iergangen unb ben SBalbungcn um bie Stabt nafym bie too^lbefannte, malerifd) bunte unb fo tve^mutige garbling an. Scbbner ift ber Slnblid ber 9latur in biefer Sa^regjeit alg imgru[)ling,aber nid)t fo monnig unb ()offnunggvoll; unb menn enblicb bie legten flatter non ben'53dumen fallen, unb ber SBinb mit eiftgem <j5aud) fiber bie Sto^eln jagt, fte^t man bent fommenbett «§errfd)er ol)ne Sebauern entgegen. Sinner, alter <£)erbft! Sie l)aben bid) bei lebcnbigent Seibe beerbt, fa, fte l)aben alleg genommen, mag bu il)nen fo freunblid) unb fo reid)lid) geboten ; unb in tfellern unb auf Sbeicbern Urgent beitte ©abett in buntfarbigen <£>aufen. 3ebe Slltergftufe bu befonberg bebacf)t, unb menu bag ^inb in ben rotbadigen Slpfel bcifit, fo oerfucft ber SKann briifettb ben neuen, fd)aumenben SSein unb banft bir fattm, menu er ben Porjdl)rigen nicbt an @ute iibertrifft.

g. 9®. «§acflanber, S^amenlofe @ef(bicl)ten. c. 93forgenbamnterung.

©g ift ein ftill (Jrmarten in ben 53aumen, Die 9{ad)tigalkn in ben S3ufd;en fd)lagen 3n irren £lagen, fbnnen’g bod) nid)t fagen, Die Scbmerjen alT unb SBonne, l)alb in Hraumen.

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EXAMINATION PAPERS. 371 ;I)te Sercfoe aud) tptll nt(^t t>ie 3eit 'oei-faumen,

foic^e Xone bringt bie 2uft getragen, Sc^ioingt ftc^ *>om S[)a(, el)’6 not^ beginiU 311 tagen, 3m erften Strati bie Sliigel ftc^ 3a fdumen.

3$ akr ftanb fcbon (ange in ban @arten Unb bin ing [tide §e(b t)inau0gegnngen, 9Bo Iet6 bie 2lif)v:cn an ju roogen fingen.

D fro mine 93bglein, ifjr unb ic^, mir marten Slufs fro^e Sicf't, ba ift un6 oov 33er(angen 33ci ftitlcr 97acf)t ermad;t folcf) fefjnenb ©ingen.

3ofepl) ^veifjerv 0. ©icfienborf. 2. Translate into German :—

a. Some days later he went to Gamylott, to pass a few week's with his parents, who were about to set forth upon a journey to Italy. When my Lord Marquess journeyed to the country he took no great suite with him, but only a couple of servants to attend him, while his old teacher rode at his side. The English June weather was heavenly fair, and the country a bower of -green, the sun shining with soft warmth, and the birds singing in the hedges and upon the leafy boughs. To ride a fine horse over country roads by wood, and moor, and sea, is a pleasant thing when a man is young and hale, and full of joy in Nature’s loveliness, and, above all, is riding to a home which seems more beautiful to him than any place on earth. So my Lord Marquess rode, and Mr. Fox with him, for two days. In the dewy morning they set forth, and travelled between green hedgerows, and through pretty, tiny villages, talking pleasantly as old friends will talk. For refreshments they drew rein at noon before some roadside inn whose eager host spread before them his very best, and himself waited upon them. When the sun set, one man-servant rode on before to prepare for their entertainment for the night; and when they cantered up to the hostelry they found the whole establishment ready to receive them, landlord and landlady bowing and curtseying on the threshold, and maidservants peeping from behind doors and through upper windows.

F. H. Burnett, His Grace of Osmonde. b.—(1.) I rely on your doing your duty to the best of your

ability. (2.) There remains much to be done, if we are to succeed. (3.) One can see quite well that the man is not equal to his

task. (4.) No sooner had they arrived than they left again. (5.) Rich as he is, I think it is all over with him. (6.) One must not look a gift horse in the mouth.

Section II.—Philology, Word-Formation, and Sy.ntax. 3. What is the rule as to the gender of nouns in #[a(, and uu3 ?

Mention five of each kind (with the definite article and meaning), including two exceptions from the general rule.

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372 EXAMINATION PAPERS. t^ALUE. 5. 4. Show, by appropriate sentences, how the several cases of man,

alledei, U)a6 are expressed. 5, 5. Illustrate, by examples, the government, or construction, and meaning of any ten of the following words:—empfungltch,

ubeqeugt, beforgt, frof), begtcrig, empfinblid), genetgl, ma^tig, gefapt, (rucbtbar, »crf{fyh>enbertfcf>, eitel, glei^gultig.

6. Mention eight verbs with miji*, with the meanings, and show by brief sentences (containing the past participle or the infinitive with px) in what different ways this prefix is treated.

5, 7. Explain the formation, and give the meaning, and, if possible, synonyms of any eight of the following words :—Xpetterwenbifcb, unserbeffevlicb, erfenntlicfy, 2Icf;t@etflarung, gelegentlid), aitfS ©eratewol)!, au6nef)menb, fyinlanglicb, flugg, ©enoffe, ©ef^meibe.

5, 8. Give the meaning, or meanings, of any ten of the following reflexive verbs, and show what cases or propositions are required by them: —ftd; beftnnen, ftcb ivibmcn, ftcb fjuten, ftcfj) sedegen, ftcb amu'fjmen, ficb hedrbften, aufle^nen, fid) aufbrangen, befummern, ftcb entbalten, ftdb betperben, ftcb ftu&etr, fid; entfcbltejjen.

§_ 9. Explain the force of the prefix ge# in ©ematter and ©efcbmab ) ai|d mention five other words of each kind, with the definite article and meaning.

5, 10. Give the German for five of the following sets of words; each set to be formed from the same root:—to paint, painter, (the art of) painting, a painting, picturesque; clean, to cleanse, cleanly, cleanliness, purity ; to be silent (verb), silence, taciturn, reticent, reticence ; to dig, a grave, ditch, pit, tomb (vault), dimple; to rob, robber, robbery, thievish, rapacious; to sin, a sin, sinner, sinful (two different words), sinfulness.

5, 11. Mention as many German words as you remember in which an initial g corresponds to an English y; and show how English -rrow and -llow are represented in German, giving five examples of each kind.

Section III.—Literature. (Not more than three questions to be answered from this Section.)

5, 12. State what you know about 2Bolfram »ott @fd;eiibacb, and Jpadnumn bon Slue.

$ 13. Show on what grounds £ effing may be called the father of the modern German drama.

5 14. Explain the origin and tendencies of the ©lurm unb ©rang ; and state how far Goethe and Schiller were involved in this movement.

§ 15. Mention ^reworks, by as many different writers, which may be said to have had an important influence*on the German literature of the last two centuries; and state briefly wherein their importance consists.

16. What are the literary merits of burger, Ufflanb, and ^t’pfe? 5.

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EXAMINATION PAPERS. 373

Value

6.

6.

6.

6.

6.

8.

8. 7.

7. 8. 7.

10.

ARITHMETIC. Lower Grade.

Wednesday, 20th June.—10 A.M. to 11.30 A.M. All the work must be shown, and such explanation added as is required

to indicate the methods adopted. Additional marks will be given for neatness, arrangement, and style.

1. When a certain number is divided by 967 the quotient is 475 and the remainder is 288 ; find the number.

2. A man’s annual income is <£483 17s. and his average daily expenditure during the year 1900 is £1 2s. 4<f., how much will he save in that year ?

3. Find the value of 8 tons 13 cwts. 24 lbs. at £16 16s. the ton. 4. A bankrupt’s property, after all expenses are paid, amounts to

£849, while his debts are £4,075 : how much will a creditor, to whom he owes £500, receive 1

5. Find the simple interest on £1,804 3s. 4<7, for 73 days at 4£ per cent, per annum.

6. The circumferences of the two wheels of a bicycle are 84 and 88 inches ; before starting a mark is made at the lowest point of each : how far will the bicycle travel before the marks reach the ground simultaneously 1

7. (1.) Explain the meaning of f and T®¥; and show that they are equal to each other.

r . 42030 45769 (2.) Simplify the fractions ] j.675() ’ 37727 ’ 8. (1.) Multiply 6 , 4 . 7 , 13

ft* b)r 5 + 9 +15;

(2.) Divide 253-53549 by ’0507. 9. State as nearly as you can remember how many inches there are

in a metre, and how many grains in a gramme. Express in kilogrammes the weight of a kilometre of uniform wire,

25 centimetres of which weigh 41 decagrammes. 10. A room is 20 feet long and 16 feet 6 inches broad, and it is

required to cover all of it, except a margin of 18 inches, with carpet; the roll of carpet is 2 feet 3 inches broad, and costs 4s. 6(7 a yard ; find the. cost of the carpet required,

4013.

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374 EXAMINATION PAPERS. ALGEBRA.

Lower Grade. Wednesday, 20th June.—3 p.m. to 4.30 p.m.

A ll the work must be shown, and such explanation added as is required to indicate the methods adopted. Additional marks will be given for neatness, arrangement, and style.

1. Multiply a2 + 2ab + b- by a2 - 2ab + b2 and divide a4 - 5,c2 + 4 by a;2 - 3x + 2.

2. Simplify x + 2 _ 1

10 + (* - 6) (a + 4) T 9 ^ (x - 5) (a - 6) (a + 4) (a - 5)-

3. Resolve into factors (1) a2 - 3a - 18 ; (2) 4 * y(5 - y)-, (3) (a + 2) (a2 - 1) + (a + 1) (a2 - 2a - 4).

4. If a men reap b acres in c days, how many acres will p men reap in 2 days ? 5. Solve the equations

(1) f (a - 6) - l(x - 7) - 1; (2) (5a - 6)2 - (4a - 5)2 = (3a - if-, (3) a(x - a - 2b) + b(x ~ b - 2c) + c(a - c - 2a) = 0.

6. A father is 40 years older than his son, 7 years ago he was three times as old as his son ; find their present ages. 7. State and prove the rule for finding the lowest common multiple

of two given expressions, when their highest common factor is known. Find the lowest common multiple of a3 - 1 and a4 -f a“ -f 1.

8. The sum of the cubes of two numbers divided by the sum of the numbers exceeds their product by 9 ; show that the difference of the numbers is 3.

9. Solve the equations (1) a2 + 7a + 11 - 0;

Kb (1) Prove that (^a+N/J)x(N/a - s/ b) = a - b. (2) Simplify

+ 1 . 2 + \/3 »/3-l

Page 41: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 375

GEOMETRY. Lower Grade.

Wednesday, 20th June.—12 Noon to 2 p.m. All ordinary symbols and contractions are allowed. All the steps of the proofs rmist be given, and the previous propositions,

&c., on which they depend, should be indicated. It is not necessary to write out the general enunciations of proposi-

tions, but the particular enunciations should be written out except when they are given as part of the question.

alue. Additional marks will be given for neatness, good style, and accu- — rately drawn figures. 9, 1. Define a straight line, a plane surface, a circle.

In the triangle PQR the side PQ is greater than PR, prove that the angle PRQ is greater than the angle PQR.

7, 2. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the base of the triangle which has the greater contained angle shall be greater than the base of the other.

12. 3. Describe a square on a given finite straight line. BRF is a triangle, acute-angled at D and F, and straight lines DL, EM, FN, are drawn equal and perpendicular to DF, and towards the same side of it; show that the parallelograms BE ML and EMNF are together equal to the square on DF.

g 4. ABC is a triangle in which AB is produced to D; draw a line through B, meeting BO in P and GA in Q, so that PQ shall be equal to GQ.

14_ 5. A straight line PQ is bisected in R and produced to S, show that the rectangle contained by PS, QS, together with the square on PR, is equal to the square on RS.

In the isosceles triangle ABC, AB is equal to AG, and ON is drawn perpendicular to AB, show that BG2 = 2AB . BN.

7, 6. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either of these sides, and the part of it produced beyond the obtuse angle to meet a perpendicular from the opposite vertex.

16, 7. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. Two circles have a common chord AB, and from A straight

lines APQ, ARS are drawn cutting the circles in P, Q, R, S, so that AB bisects the angle PAR-, show that the triangle PBQ is equal to the triangle SBR in every respect.

18, 8. If two chords of a circle intersect, the rectangle contained by the segments of the one is equal to that contained by the segments of the other.

AB, CB are chords of a circle, and a concentric circle meets AB in P and CD in Q, show that the rectangle AP . PB — rectangle CQ . QB.

4013. B b 4

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376 EXAMINATION PAPERS.

ALUE 10.

7.

7.

7.

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14.

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ARITHMETIC. Higher Grade.

Wednesday, 20th June.—10 A.M. to 11.30 A.M. All the work must he shown, and such explanation added as is required

to indicate the methods adopted. Additional marks will be given for neatness, arrangement, and style.

1. Find the highest common factor of 7163 and 7429. Express each of those numbers as the product of three

prime numbers. 2. During a recent year, the production of gold was valued at <£43,213,000; if one sovereign contains 123'27 grains of gold,

and there be 7000 grains in one pound avoirdupois, find the weight in tons of this output, correct to two decimal places.

3. Determine without unnecessary calculation the number of millions (correct to the nearest million) in the product of 719386 and . 28763.

4. One square contains three times the area of another square ; if one side of the larger square be 5 inches, find that of the smaller in inches correct to four significant figures.

5. (1.) Express -0463 of £7 + '256 of 14s. 6d. as a decimal fraction of £15.

(2.) Ta ing a metre as 39'37 inches, express in yards the difference between 5 miles and 8 kilometres.

6 An agent buys 17400 tons of coal at 21s. 6d. a ton, and receives a certain percentage of the price as his commission ; if the whole amount paid be £18954 8s., find the rate per cent, at which the commission is allowed.

7. A trustee has a sum of money to invest, and is doubtful whether to buy 2f per cent, consols at 104£, or 3^ per cent. India Stock at 108|-, brokerage included in both cases; find what rate of interest would be obtained in each case, and calculate the amount to be invested when the difference of the incomes is 25 guineas.

8. A holds a bill from B for £1052 6s. payable 9£ months hence, and B holds a bill from A for £1596 8s. payable 7 months hence ; they agree to cancel both bills by A’s giving B a new bill payable 3 months hence : determine the amount for which this bill should be drawn, the rate of interest being 4 per cent, per annum.

9. Prove that every proper fraction either reduces to a terminating decimal, or to a circulating decimal in which the number of the circulating figures is less than the denominator of the fraction.

Find the circulating period of T4^, and write down the other

proper fractions with 13 as denominator, whose periods consist of the same figures in the same circular order.

Page 43: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 377

Value.

6.

8.

9.

15.

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12.

ALGEBRA. Higher Grade.

Wednesday, 20th June.—3 p.m. to 4.30 p.m. All the work must be shown, and such explanation added as is required

to indicate the methods adopted. Additional marks will be given for neatness, arrangement, and style

1. Prove that (a )n = amn, where m and n are positive integers. Simplify

2. Prove the identities (1) (a; + y + zf = f + £ + % {y + z) {z + x) (x + y). (2) a’1 + b” = (ar + ¥) {a*-' + b-*) - ar b* (a"-*' + b’^).

3. Simplify . / a3 + b3 a3 - b3 \ A'2 n2 \ _ /62 «2 \

G) U2 + ab +T2 " a2 - ab + by V2 + «2 + by ^ V “ a2 + by ’ . - 5x3 - 3^2 + 7a: + 4 ^ 3tf - 7ar3 - 4a:2 + 9a: + 5‘

4. Resolve into factors (1) (a: + 1) (a;2 - 2a: - 8) + (a: + 2) (a:2 - a; - 2); (2) ^-5^3 + 20^-16; (3) a3(b - c) + b3(c - a) + (?(a - b).

5. Solve the equations a + 2b

(2) r«2 — 3y2 = 1, \xy - ■- 12.

6. Define ratio. When are four quantities in proportion ? Show that if a, b, c, d, taken in any order, form a proportion, then

abed = a2 + 62 +-c2 + (P l + I , In.1' a2 ^ b2^ c2^^

7.' Find the relation between a, b, and c, in order that the roots of the equation, ax2 bx c — 0, may be equal.

The equation x2 + px q = 0, has equal roots, and one of the roots of the equation, ar* + _pa; + r = 0, is double the other, find the ratio of q to r.

Page 44: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

'Value. 12.

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10.

11.

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378 EXAMINATION PAPERS. 8. Show how to find the sum of a geometrical progression.

Sum the series + + + 4^- + . . . to n terms. 9. Two rectangular boxes with square ends, each occupy, when

filled, 6 cubic feet. The ratio of the sides of the square ends is 8 to 9, art! the sum of the other sides is six feet and half an inch. Find the dimensions of each box.

GEOMETRY. Higher Grade.

Wednesday, 20th June.—12 noon to 2 p.m. All ordinary symbols and contractions are allowed. All the steps of the proofs must be given, and the previous

propositions, &c., on which they depend, should be indicated. It is not necessary to write out the general enunciations of proposi-

tions, but the particular enunciations should be written out except when they are given as part of the question.

Additional marks will be given for neatness, good style, and accurately drawn figures.

1. li AB, CD are two parallel and equal straight, lines, AD, BC will bisect each other.

EFGH is a quadrilateral in which EF = GH; P, Q are the mid-points of EH, FG; PR, PS are drawn from P parallel and equal to EF, GH : show that RS intersects FG in Q.

2. If a straight line AB be produced to P, the square on AB is equal to the squares on AP, BP, diminished by twice the rectangle contained by AP, BP. Show that the sum of the squares on two straight lines is never less than twice the rectangle contained by the two straight lines.

3. In equal circles or in the same circle, if two angles at the circum- ference ard. equal, the arcs and chords on which they stand shall be equal.

AB is the common chord of two circles, P is any point on one of the circles, and PA, PB meet the other circle in Q, R-, show that QR is of constant length, considering all possible cases.

4. Prove that the three medians of a triangle meet in a point and that this point is a point of trisection of each median.

5. Inscribe a regular hexagon in a given circle. If an equilateral triangle be inscribed in a circle the square on

its side is three times the square on the radius. 6. If a straight line be drawn parallel to one side of a triangle, it will

cut the other sides (or the other sides produced) proportionately. Inscribe a square in a given triangle.

Page 45: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 379 7. Similar triangles are to one another in the duplicate ratio of their

homologous sides. ABC is a triangle right angled nt A, B is the midpoint of BC,

and AE. BE are drawn perpendicular to BD, AD respectively, meet- ing in G-, show that A AEG: AACD — BE: EC.

8. The plane angles which form a solid angle are together less than four right angles.

Hence show that only five solid angles can be formed whose faces are equal equilateral and equiangular plane figures.

ELEMENTARY TRIGONOMETRY AND LOGARITHMS. Higher Grade.

Tuesday, 26th June.—10 a.m. to 11.30 a.m. All ordinary symbols and contractions are allowed. Additional marks will be given for neatness, good style, and accurately

drawn figures. 1. Explain what is meant by the radian, or unit of circular measure

of angles. Assuming that the diameter of a circle is ^ of its circumfer-

ence, find the number of sides in a regular polygon whose exterior angle is ^ of a radian. 2. Prove the identities

(1) (sec A -\- sqc A cosec A -4- cosec A) (sec A — sec A cosec A -f cosec A) = 2 sec A cosee A.

(2) tanL4 — 1 = (2 tail2A — sec2A) (sec4A — tan2A.) 3. Prove geometrically that

sin (A — B) = sin A cos B — cos A sin B, when A and B are acute, and deduce the corresponding formula for cos (A — B).

Hence show that cos 15° — sin 15° = sin 45°.

4. Assuming the formulae for sin 2A and cos 2A, find formulae for sin 3A and cos 3A in terms of sines and cosines of A. Solve the equation

cos 3A = sin 2A, and deduce the value of sin 18°.

5. Write down expressions for all the angles which have (1) the same sine, (2) the same cosine as a given angle a. Find all the values of 6 less than 180° which satisfy the

equation sin 70 + sin 30 = sin 50.

Page 46: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

Value. 10.

380 EXAMINATION PAPERS. 6. Show that in any triangle ABC

a = & cos (7 -J- c eos B. From this and the corresponding equations, find the value of

cos A in terms of the sides. 10, 7. Prove that in the triangle ABC

Sinj,/¥EWE=3. 2 V be Having given that the sides of a triangle are 51, 52, 53, find

its greatest angle. 10. 8. Three equal circles touch one another. If the radius of each circle be 10 inches, find to the nearest square inch the area of the

curvilinear triangle between the circles. 11. 9. As seen from a ship one lighthouse is due north and another a to

the east of north. After sailing a miles due east the first light- house is observed to be a north of west and the second due north. Illustrate the position by a figure, and prove that the distance between the lighthouses is

a ^/tan2^ + cot2a — 1.

ALGEBRA. Honours Grade.

Wednesday, 20th June.—3 p.m. to 4.30 p.m. All the work must be shown, and such explanation added as is required

to indicate the methods adopted. Additional marks will be given for neatness, arrangement, and style. Candidates may try six questions, namely Nos. 1, 2, 3, and one of

the alternatives in each of Nos. 4, 5, 6.

15, 1. Solve the equations (1) {x - 3) (x- 1) (x + 2) (x + 4) = 14tY; (2) £ xyz = tY (y2 + *2) = ^ (*2 + x2) = | (x2 + f);

fx + y + s = a, (3) Jx2 + y2 + ^ = 62,

1(1 +x)(l -t-y)(l+s) = 1 + a + £(a2-*2). 15, 2. Prove that the number of combinations of n things taken r at a

time is. 1 n

\r\n--r Show that the product of p consecutive numbers is always

divisible by the product of the first p numbers.

Page 47: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

Value. EXAMINATION PAPERS. 381 15. 3. Enunciate the Binomial Theorem and prove that if the law hold

good for the nth power it will also hold for the (n + l)th power. If n be a positive integer and

prove that (1 + x)n = c0 + cp + c.Jic

2 + ... + cHxn,

c02 — C!2 + c/ — . . . + ( — 1)V

is equal to zero or to (— l)1 jjL

Us according as n is odd or even.

Alternative Questions. 15 4n. The sum of a number of variable positive quantities is constant,

prove that their product will be a maximum when the quantities are equal.

Show that, if x and y are such that each factor is positive, the product (« + y + 3a) {y — 2a: + 36) (x — 2y + 3c) cannot ex- ceed (a + b + c)3, and find the values of x and y which give this maximum value of the product.

Or 15 ib. Show that a;5 + x l can be expressed as the product of two rational integral functions of x of the forms ar -f- jox + T at* + g®2 + n; + 1.

5a. Prove that if f(x) = l+x +J-2+T2.3 + '

/(*) x M =f(x + y), and deduce that

{/(I) }*=/(*), when x is any integer. Find the sum of the series

-i x I 3#* i 1 +]o+-n-+Tr+ • • •

5b. Resolve

J2 n |3/ 14 Or x?

(x — a) (x — b) (x — c) (x — d) into partial fractions; and prove from your results that

a2 . 62

(ffl -b) (a- c) (a — d)' (b — c) (b - d) (b - a) c2 , d2

(e — d) (c — a) (c — b) ‘ (d — a) (d — b) (d — c)

+ = 0.

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Value. 15.

15.

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13.

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382 EXAMINATION PAPERS. 6a. Explain a method by which the relation between two variables

may be exhibited to the eye. Draw the graph corresponding to the equation

„ _ «?(x - 3) y x - 2 ' Or

6b. Define a complex number, and define conjugate complex numbers. If f(x) be a rational integral function of x, and a, /3 be two

conjugate complex numbers, prove that /(a), /(/3) are in general two conjugate complex numbers, and indicate the exceptional case.

GEOMETRY. Honours Grade.

Wednesday, 20th June.—-12 NOON to 2 P.M. All ordinary symbols and contractions are allowed. All the steps of the proofs must be given, and the previous proposi-

tions, &c., on which they depend, should be indicated. Additional -marks will be given for neatness, good style, and accurately

drawn figures. Candidates may attempt seven questions, namely, Nos. 1, 2, 3, 4>

and one of the alternatives in each of Nos. 5, 6, 7.

1. Similar figures are in the duplicate ratio of their homologous sides. AB, CD are two chords of a circle which cut one another

internally at right angles in E, and FG is a diameter of the circle ; show that a rectilineal figure on FG is equal to the sum of the similar figures on AE, BE, GE, DE.

2. Draw a straight line to meet at right angles two straight lines which are not in the same plane. AP, BQ are two equal straight lines perpendicular to AB,

prove that the straight line joining the mid-points of AB, PQ is perpendicular to both AB and PQ.

3. Define the radical axis of two circles by a definition that includes all cases, and prove that the radical axes of three circles taken two and two are concurrent.

Hence, or otherwise, prove that if a variable circle pass through two fixed points and cut a fixed circle, their common chord passes through a fixed point.

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EXAMINATION PAPERS. 383 Value. 13. 4. Define Inverse Points.

A circle whose centre is A inverts into a circle whose centre is B with 0 as centre of inversion, and P is the inverse point of B. Show that if A be taken as the centre of inversion, 0 and P are inverse points with regard to the first mentioned circle.

Alternative Questions. 13. ba. Define a harmonic range, and show how to find the fourth point when three points are given.

Carefully examine the number of solutions. Or

13. bb. If ACBD be a harmonic range and O be the mid-point of AB prove that OC . OD = — OA . OB, and show that the same statement is true if OD be bisected instead of AB.

Prove that any circle on AB (or CD) as diameter is cut orthogonally by all circles through 0, D (or A, B).

13. <oa. If a point P be taken in the plane of a triangle ABC and AP, BP, CP meet BC, CA, AB, in D, E, F, show that

BD.CE.AF+CD.AE. BE = 0. In a triangle ABC, AB is produced one-fourth of its length

to iV, and A C is produced two-thirds of its length to M; BM and CiVmeet in 0, and AO meets BC in Lshow that BL is equal to half LC.

Or 13. 6/>. State and prove the relation existing between the segments into which any transversal divides the sides of a triangle.

From the mid-point of the base BC of an isosceles triangle ABC a straight line is drawn meeting AB, AC in P, Q, show that AB is & harmonic mean between AP and AQ.

13. la. Define the polar of a point with regard to a circle, and determine it when the point is within the circle.

P, Q are two points and 0 is the centre of a given circle, PM, QN are the perpendiculars from P on the polar of Q, and from Q on the polar of P with respect to this circle, show that

PM : QN = OP : 0Q. Or

13 lb. Parallel diameters of two circles are drawn, prove that the straight lines joining their extremities pass through one of two fixed points on the line joining their centres.

If a third circle touch the two given circles, prove that the line joining the points of contact passes through one or other of these two fixed points.

Page 50: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

384 EXAMINATION PAPERS.

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TRIGONOMETRY AND LOGARITHMS Honours Grade.

Tuesday, 26th June,—10 a,m. to 11.30 A.M, All ordinary symbols and contractions are allowed. Additional marks will be given for neatness, good style, and accurately

drawn figures. Candidates may try six questions, namely, Nos. 1, 2, 3, and one of

the alternatives in each of Nos, 4, 5, 6. 1. Define the secant of an angle of any magnitude, and trace the

graph of y = cos x, as x increases from zero to infinity. From your diagram indicate approximately where the successive

roots of the equation sec x - x will be found, 2. Prove the formula <? = a? + b2 - 2ab cos C,

The sides of a triangle ABC subtend equal angles at a point 0 in its plane; if OA = x, OB == y, 0C = z, prove that

+ */2 + *2) + yz + zx + xy = a2 + W + c2, 3. Establish qny fprmula for finding the halyes of the angles of a triangle when the sides are known.

The parallel sides of a trapezium are 30 and 50 feet respectively, the other sides beir)g 25 and 35 feet; show that the acute angles are opposite to each other, and firid them with the assistance of logarithms,

A Iternative Questions. . 4a. The sides of a triangle are P - to2, l- + Im + w, l2 + 2/to, / and

to being positive, prove that one of the angles is 60°. Deduce that if the sides are f - to2, /2 + /to + m2, ni1 + 2lm, tbs'

greatest angle is 120°. Or 4b. If £ sin 0 -f y cos 0 = sin 6 cos 0,

x cos d - y sin 0 = cos 20, prove that

J + y* = 1. 5a. Prove that if h be small,

tan (0 + h) — tan 0 = h sec2 0 (approximately). The angle of elevation of the top of a building whose base is

300 feet away is observed to be 15°. If this measurement of the angle be correct to within two minutes, show that the height can be determined to within 2| inches.

Or 5b. If un = cos nO, prove that the series

Uo -j- U^x + W2®2 + • ■ • is a recurring series, whose scale of relation is 1 - 2a; cos 0 + a;2.

Find the sum of the series to n terms without using imaginary quantities.

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Valuk EXAMINATION PAPERS. 385 15 6a. Sum the series

cos 0 + cos 20 + . . . + cos nd, and prove that if 130 = 27r, then 4(cos ^ + cos 3iy + cos 90) (cos 20 + cos 60 + cos 18&) + 3 = 0.

Or 15. 65 [f r, — cos 0 + / sin 0, prove that

af!'1 +1 — J _ (cos w0 + t sin «,0) (sin (ti + 1) 0 + sin w9) a; - 1 sin 0

and deduce the sums of the two series (1) 1 + cos 0 + cos 20 + . . . + cos 2nd; (2) sin 0 + sin 20 + . . . + sin 2nd.

ELEMENTS OF DYNAMICS. Additional Mathematical Subject.

Tuesday, 26th June.—2 P.M. to 3.30 P.M. All the steps of the proofs must be given, and the work of the

calculations should be shown in full. Additional marks will be given for neatness, good style, and

accurately drawn figures.

12. 1. Define velocity. Show that we can only observe relative velocities. A man rides along a road in an easterly direction at the rate

of 4 miles an hour and observes that the direction of the wind appears to be from the north. He then increases his pace to 7 miles an hour and finds that the wind now appears to blow from the north-east. Find the actual velocity of the wind.

12. 2, A body has an initial velocity V, and a constant acceleration a in the same direction, find its velocity and position after t seconds. A railway train, going at the rate of 12 miles an hour, has a

uniform acceleration of half an inch per second per second; how long will it take to acquire a velocity of 60 miles an hour '!

10. 3. Give Newton’s third law of motion. A hundred pound shell is projected from an 80 ton gun with

an initial velocity of 2,500 feet per second, find the momentum of the shell, and the rate of the gun’s recoil.

12. 4 Assuming the truth of the proposition known as the parallelogram of forces, prove the truth of the polygon of forces.

A BCD is a quadrilateral, and forces acting at a point are represented in magnitude and direction by AB, CB, CD, AD ; draw a line through A which will represent the resultant force.

4013. C C

Page 52: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

383 EXAMINATION PAPERS. 5 Define centre of mass.

A rod AC, 12 inches long, is bisected in B, and particles of mass 8, 12, and 4 lbs. are attached to A, B, C by rigid rods whose lengths are 9, 4, and 6 inches, these rods being at right angles to AC and on the same side of it; find the position of the centre of mass of the three particles.

6. State the laws of statical friction. A mass of 6| lbs. rests on an inclined plane which rises at the

rate of 5 feet in every 13 of its length. If the mass is on the point of slipping, find the coefficient of friction; and find the force which would be required to move the mass up the plane.

7. A body is immersed in water; show how to find the magnitude and direction of the resultant fluid pressure.

A piece of cork whose mass is 1 lb. is fastened by a string to the bottom of a vessel which is gradually filled with water. If, when half of the volume of the cork is covered by the water, the tension of the string be equal to the weight of 1 lb., find the tension when the cork is completely covered.

8. State Boyle’s law. Two vessels, A and B, are connected by a tube closed by a

stop-cock, and contain air at pressure of 20 and 35 lbs. respectively, the volume of B being twice that oi A. If the stop-cock be now opened, find the common pressure of the air in the two vessels.

HIGHER DYNAMICS. Additional Mathematical Subject.

(Higher Grade and Honours.) . Tuesday, 26th June.—2 p.m. to 3.30 p.m.

All the steps of the proofs must be given, and the work of the calculations should be shown in full.

Additional marks will be given for neatness, good style, and accurately drawn figures.

The acceleration due to gravity may be taken as 32 feet per second per second.

Candidates may try six questions, namely, Nos. 1, 2, 3, and an alternative in Nos. 4, 5, 6.

1. Prove that the moment of the resultant of two forces about any point is equal to the sum of their separate moments about that point.

Hence, show that if there be three points in a plane about each of which the moment of a system of forces in that plane vanishes, the system is generally in equilibrium ; and state the exceptional case.

Page 53: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 387 Value. 15. 2. Enunciate carefully the second and third Laws of Motion; and point out in your solution of the following problem where each

of these laws is made use of. Two equal masses are attached to a fine string, which passes

over a pulley at the vertex of a smooth double wedge on whose faces the masses slide. If the inclinations of the faces to the horizon be 15° and 75° respectively, find the tension of the string and the acceleration of the motion of the masses.

15. 3, A cylindrical diving-bell, 10 feet high, of section 15 square feet, rests on the bottom of a tank, which is gradually filled with water, the water being free to rise in the bell, and it is found that the pressure of the bell on the bottom of the tank vanishes when the bell is just covered. Assuming that the weight of the bell is equal to that of 120 cubic feet of water, find the height of the water barometer.

If, as the water rises in the tank, the bell be kept full of air by pumping, find when the pressure of the bell on the bottom of the tank will vanish.

Alternative Questions, 15. la. Distinguish between kinetic and potential energy, and explain how a man in a swing is able to convert the one into the

other. A pendulum 30 feet long swings through an angle of 45° on

each side of the vertical; find its velocity at its lowest point. Or

15. lb. Prove the formulae connecting the distance described with the time when a body moves with constant acceleration in a straight line.

Find the time occupied by a particle in sliding down a chord drawn through the highest point of a vertical circle, and show that the time is the same for all such chords,

15. 5a, Having given the centre of mass of part of a body and of the whole body, show how to find that of the remainder.

From a circle of radius a a smaller circle of radius b is removed, the distance between the centres being c; find the centre of mass of the remainder, and show that if it be on the circumference of the smaller circle, then

_ cfib + «2c = 0. Or

15, 5b. Explain what is meant by relative velocity. A wheel is rolling along the ground ; if at a given instant A

be the highest point on the circumference, B the point couching the ground, and P any other point on the circumference, show that the velocity of P is in the direction AP or PA and is proportional to BP,

4013. G c 2

Page 54: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

^LUE. 388 EXAMINATION PAPERS. 15. 6a. State the laws of friction.

A wheel is placed on a plane which makes an angle « with the horizon ; the plane of the wheel being vertical and con- taining the line of greatest slope. It is prevented from rolling down by a string parallel to the plane, which is attached to a point in the radius through the point of contact with the plane. If the coefficient of friction be tan «, find where the string must be attached in order that the friction may be just sufficient to keep the wheel from slipping.

Or 15. 6ft. Show how to draw to scale the position at any moment of a body

projected from a given point with a given velocity under the action of gravity.

A shell is travelling through the air and explodes so that its parts all acquire the same velocity V relative to its centre. Prove that after a time t they will all be on a sphere whose centre is on the curve begun by the unexploded shell, and whose radius is Vt.

GEOMETRICAL CONICS. Additional Mathematical Subject.

(Higher Grade and Honours.) Tuesday, 26th June.—4 P.M. to 5.30 p.m.

All ordinaly symbols and contractions are allowed. A U the steps of the proofs must he given, and the previous propositions,

&c., on which they depend, should be stated. Additional marks will be given for neatness, good style, and

accurately drawn figures. 13. 1. Define a conic section, its focus, directrix, and eccentricity. If PQ be a chord of a conic section which meets the directrix

in R, and S be the focus, prove that SR bisects the angle PSQ either internally or externally, illustrating both eases by figures.

13. 2. If PN be the ordinate and PG the normal at a point P of a para bola, prove that SP = SG and NG = 2 AS.

PPi is a focal chord which makes an angle of 60° with the axis of the parabola, prove that it is divided by the focus into segments which are in the ratio of 1 to 3.

13. 3. If in a parabola QF be an ordinate to a diameter PF, then QF2 4 SP. PV.' AB is a fixed line and G a fixed point outside AB ; in AB any point R is taken and RFis drawn to meet AG in Fso that the angle ARF is equal to ACR; the parallelogram RAFQ being completed, find the locus of Q.

13. 4. Prove that in a central conic the tangent makes equal angles with the focal distances. An ellipse and hyperbola have the same foci, prove that they

intersect at right angles. 13. 5. If SY, HZ are the perpendiculars from the foci S, H of an ellipse

on a tangent, then the rectangle contained by SY, HZ is constant. The locus of the intersection of tangents to an ellipse which are at right angles to each other is a fixed circle.

Page 55: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

Value, 13.

13.

10.

10.

12.

13.

15.

Mr

EXAMINATION PAPERS. 389 6. If from any point P on a hyperbola lines PQ, PE be drawn

parallel to the asymptotes to meet them in Q, E, the rectangle PQ, PE is constant.

If a straight line through the centre meet PQ, PE in S, T and the parallelogram TPSU be completed, show that U will be a point on the hyperbola,

7, If a plane be parallel to one and one only of the generating lines of a cone, its intersection with the cone will be a parabola. Find the locus of the vertices of all the parabolas which can be cut from the cone and which have the same latus rectum as the given parabola.

ANALYTICAL GEOMETRY. Additional Mathematical Subject,

{High&r Grade and ffonmrs.) Tuesday, 26th June,—12 NOON to 1,30 P.M,

All the steps of the proofs must be given. Additional marks will be given for neatness, good style, and accurately drawn figures.

The co-ordinate axes may be assumed to be rectangular. 1. Find the co-ordinates of the mid-point of the straight line which

joins the points whose co-ordinates ai?e {a, b) and (c, d), Use the result to prove that the straight lines joining the

mid-points of opposite sides pf a quadrilateral bisect each other. 2. Show that the equation

Ax + ify -H 0 = G represents a straight line, and find the tangent of the angle which that line makes with the axis of x.

Show that the straight lines, aa: -f + c = 0, lx my + n — 0,

are parallel to each other if am - bl = 0, and perpendicular to each other ii al bm = . 0.

3. Find the equation of a straight line drawn through a given point parallel to a giyen straight line. If (a, b), (c, d), (e, f) are the co-ordinates of three vertices of a

parallelogram taken in order, find the co-ordinates of the fourth vertex. 4. Taking the equation to a straight line ip the form.

a; cos a 4- y sin a - = 0, investigate the meaning of the expression x cos a 4- y sin a - p, when {x, y) is not on this line.

Find the locus of a point the sum of whpse distances from three given straight lines is constant,

5. Prove that the equation (x — a)2 -f (y - &)a - e2 = 0

represents a circle, and state what is represented by the left- hand side of this equation when the point x, y is outside this circle

Show that the tangent to the circle *2 -(- 2* + y2 - 6y - 22 = 0

from (7, 10) is 9 units in length. 4013 C C 3

Page 56: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

390 EXAMINATION PAPERS. 6. Show that the co-ordinates of any point on the circle, a;2 + y2 —

may be represented by x = a cos 8, y = a sin 6, and give the geometrical meaning of 8.

If this point be called fl, show that the equation a; cos ^ (0! + £>2) + y sin \ (0t d- 02) -

a cos \ (0t - 02) represents the chord through the points and 6»2, and deduce the equation of the tangent at the point Q.

7. Obtain equations connecting the new co-ordinates with the old, when the axes are revolved through an angle «, the origin remaining unchanged.

Transform the equation xr (x - 3 >/ 2) + 3y2 (a: -f V 2) = 0,

by turning the axes through an angle of 45°, and reduce the new equation to its simplest form.

BOOK-KEEPING. Friday, 22nd June.—2 p.m. to 4.30 p.m.

I (1.) Explain briefly the system of Book-keeping by Double Entry. (2.) State the principal books required in a merchant’s business,

whose books are kept on the Double Entry System, and explain the nature of the transactions that are recorded in, and the use of each.

(3.) What is meant by “ proving the books.” IT. On the 1st January 1900, William Brown has cash in hand

£105 10s. but no money in bank. During January he makes the following cash book transactions

29 14 0

20 8 25 0 18 17

1900. January 2. Cash lodged in bank „ 4. Paid Dickson and Hayward their account £33, less discount allowed by them £3 6s. (by cheque) „ 6. Goods sold for cash „ „ Bank pays Brown’s acceptance due to-day for 8. Received from R. Cowland his account £21 10s. less discount allowed to him £1 Is. 6r7., and lodged same in bank „ 13. Cash drawn from bank „ „ Paid wages (in cash) - „ „ „ taxes (in cash) . . - . . „ 15. Bank collects A. Ward’s acceptance due to-day for 16. Bought goods at auction and paid for them in cash - , 18. Wm. Brown draws for personal expenses (by cheque) „ 20. Paid Gardner Bros, their account £6 5s., less discount allowed by them 12s. &d. (in cash) - 24. Goods sold for cash „ „ Received from Caldwell & Co. their account £15 7s. &d., less discount allowed to them 15s. 4td. (in cash) „ „ Cash lodged in bank - - - - „ 31. Paid freights (in cash) - - - . Frame William Brown’s cash Book, first, in simple form with the receipts, including sums drawn from bank, in one column, and the pay- ments, including sums lodged in bank, in one column ; second in columnar form.

73 0

15 0 > 12 6

14 12 2 20 0 0 2 15

Page 57: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

Vali'e. EXAMINATION PAPERS. 391

7

III. The following is the Trial Balance,of AuMand Younger, manu- facturers at 31st May 1900, and includes their transactions since 31st May 1899,

Win. Auld, capital account John Younger, capital account Property Machinery Sundry debtors Sundry creditors ... Bills receivable Bills payable Wages and salaries Bad debts Fire insurance Freights and carriages ... Coals Trade charges Bank Cash ... Discount Goods *. Made up thus— Stock at 31st May 1899 Purchases -

£ 7,000 16,000

Dr. Balances. Cr. Balances. £

5,000 3,000 10,900 250

11,000 300 70 450 150 350 30 300

£ 12,000 6,000

1,500 150

150 12,000

23,000 35,000 12,000

31,800 31,800

3lft20\Wfc1hqenfireJfUTie iS1,paid

1in advance for ^e year ending olst May 1901, and has to be allowed for.

providedlor^ ^ dUe ^ the Firm at 31St May ?900 and has to be Per cer‘t- is to be written off the value of the Property and Machinery for Depreciation. v -

Five per cent, discount on the debts due to the Firm has to be allowed for.

Five per cent, interest should be allowed to Partners on their Capital. The net profit is divisible equally between the Partners. The goods on hand at 31st May 1900 are valued at £9,000.

f Frame the Journal entries required to give effect to the above, and I required to frame a Profit and Loss Account. I fraiSe,a and k°ss Account for the year ending 31st May 1900 ( and a Balance Sheet at 31st May 1900, & J

4013, p c 4

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392 EXAMINATION PAPERS.

Value

23.

COMMERCIAL ARITHMETIC.—First Paper, Monday, 25th June.—2 p.m. to 2.30 P.M.

This paper will be taken up at the end of half-an-hour, when the other paper will be given out.

The sums are not to be copied out, and all the calculations required are to be performed mentally.

Complete the left-hand column, and add the right-hand column, placing the answers in the spaces provided. More importance will be attached to accuracy than to quickness.

Fill this in first (Name of School

A \Name of Pupil

, Add £ 4,189 1,576 2.348 1,869

. 2,899 793

4,169 31

2,971 1,844 217

7,994 233

1,447 493

1,436 9,786

791 1.349

287 2,724 3,669

517 1,843

s. d. 3 6

11 4| 17 10 8 9J

10 6 12 10^ 18 8

5 6f 17 8|

4 4 10 3

17 1 15 11

1 4 16 8

3 Ilf 16 84 17 9

7 3 14 24 4 4j 5 9

1. Find the value of £ s. 10 per cent, of 8,123 13 12| „ 2,354 5

250 articles at 50 „

342 £31 134 450 240 148 120

12 24 30 48 60 80

120 160 240 480

Page 59: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should

EXAMINATION PAPERS. 39.3

COMMERCIAL ARITHMETIC.—Second Paper. Monday, 25th June.—2.30 p.m. to 4 P.M.

A ll the work must be shown, and such explanation added as is required to indicate the methods adopted.

Additional marks will be given for neatness, arrangement, and style. Value.

4. 1. A sheet of lead is 10 feet long, 6 feet broad, and \ of an inch thick. Find how many bullets, weighing | an ounce each, can be made from it, if a cubic foot of lead weigh 6| cwt.

6. 2. Divide £256 Is. 11M between A and B, so that | of A’s share may equal § of B’s.

4. 3. Find the cost of repairing a wall 5 furlongs 18 poles 1 yard in length, at the rate of £14 13s. id. per mile.

10. 4. Find, correct to the nearest penny, without unnecessary calcula- tion, the value of •296445 of £1743 16s. M.

7t 5. An insurance company obtains interest on its capital at the rate of £4 4s. id. per cent, per annum. If the amount of the interest be £46248 8s., find the capital of the company.

7, 6. A man borrows £1000, interest to be payable at the rate of 4 per- cent. per annum. At the end of each year he pays £100, the balance after payment of interest being'applied to the reduction of the debt. Find, to the nearest penny, the amount of his debt immediately after he has made his fourth payment.

7. A dealer marks his goods so as to allow himself 15 per cent, above cost price, but gives his customers a deduction of 5 per cent, off the marked prices for ready money. What percentage of profit does he make on a cash sale ?

13, 8. Assuming that a metre contains 39-37 inches and that £1 is worth 25-2 francs, find, correct to three decimal places of \d., the price per yard which corresponds to a price of 5 francs per metre.

Hence, find the value of 500 yards of lace worth 20 francs per metre.

9. A man possesses £4900 stock in the 2f per cents, and finds that by selling at 112| and buying 3| per cents he will increase his income by £18 7s. 6<f. Find the price of 3| per cent stock.

11

Page 60: EXAMINATION PAPERS, · EXAMINATION PAPERS. 335 LEAVING CERTIFICATE, 1900. EXAMINATION PAPERS, ENGLISH LOWER GRADE. Thursday, 21st June.—10 A.M. to 12.30 P.M. Every Candidate should