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 gra-Mjmlar school, 
 
 \ 
 
 .•^ 
 
 EXAMINATION PAPERS, &c. 
 
 A 
 
 ■■.,v..:. -v-' 'V 
 
 ■■ N. ■ 
 
 ' , '", ' ' .'. « ■ 
 
 CONTENTS: 
 
 KBBORT TO TRUSTEES. 
 
 ENGLISH. 
 
 NAMES OF MASTERS. 
 
 geogiTaehy. 
 
 NAME AND ADDRESS 9F PUPILS. 
 
 HISTORY. 
 
 SOHOLARSIUPS OBTAINED BY 
 
 ARITHMETIC; 
 
 PUPILS, 4(f. 
 
 EUCLID, 
 
 SPECIAL PRIZES to bk GoifPETED 
 
 ALGEBRA, No. I. 
 
 rot AT MlOSUMUSB ExAltlNAT'ION. 
 
 " No. 2. 
 
 GREEK. . 
 
 TRIGONOMETRY. 
 
 LATIN. " •■■■-' •'*^;. 
 
 CHEMISTRY. 
 
 ANTIQUITIES. 
 
 NATURAL HISTORY. 
 
 FRENCH. 
 
 ^ - ■ . ■-• ■■ ■ " 
 
 J.;. r~' 
 
 BARRIE : 
 
 PBISTBO At TUK <' »OBTBXBN ADVJiNCI^' OmCI. 
 
 1861. 
 
 ♦" ^' * 
 
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 TO THE BOATID OF TRUSTEES OF THE BARRlK 
 GEAMMAtt aCHOOL. 
 
 ' ■ p Barrib Grammar School, ) 
 .luno 26th, 1861. \ 
 
 Gbntlimbn:' , , ■ . 'n . ■'. . • 
 
 The time having again cotno round for my 
 Annual Report, I om happy to bo able to stato that the School 
 under ray charge has continued to improve steadily in every 
 
 reipect. , ' - |... ,„;.''■ ■• 
 
 The iiverage daily attendance for the post twelve inbriths has 
 been 74. Of these 62 are Classical and 12 Commercial I'upils. 
 The number learning Latin without French or Greek is 15; 
 Latin, Greek and French, 47. The accompanying Examina- 
 tion Papers will give a tolerably correct idea of the present 
 proficiency of our Senior Classes in each subject of study. V 
 Since the date of my last Report eight pupils havo matriciV 
 lated at the University of Toronto. Of these, four obtained 
 Scholarships, and First Class Honors were awarded to seven 
 in more than one subject each. The eighth! ranked in the 
 second class* One pupil has also matriculated from this at 
 
 Lennoxville, C> E, j^^ - "' • 
 
 Among those now \api^e, nine are preparing to ientor the 
 University during the ^^lentyoarv Two will matriculate at 
 , Trinity College, Toronto, and two at McGill College, Montreal, 
 in the coming Fall. 
 ; .^ I remain, Gentlejmen, 
 
 Your Obedient servant, 
 
 > W. F. CHECKLEY, 
 1 Head Master. 
 
 t 
 
 TERMS AND VACATIONS. 
 
 "There shall be four Terms each year,, to be designated the Winter, Spring, 
 Summer and Autumn Terms. The Wintejr Term shall begin the 7th January, and 
 end the Tuesday next before Easter, and dose the last Friday in Jun^j the Sum- 
 mer Term shall begin the second Monday in August, and ♦•nd'the Friday next 
 before the :16th October; the Autumn Term shall begin the Monday following the. 
 clos« of the Summer Term, and sliall end on the 22nd December.'-' , "^^ 
 
 ■ ^ [Kstract from Rules for Grammar Schools, prescribed by Cuunoil of PuUio 
 Inftriiction.J 
 
./ 
 
 BARRIE GRAMMAR SCHOOL, 
 
 i. • 
 
 (BOAKUKKS.) 
 
 ^"P'/fc Parmli or Ouardiani. Ent'd. 
 
 Andtnoo, Altx..... J. An^enon, Eiq., Ch. Ksotor, H.H.B. Oom,, 
 
 ... Qwbto 1809 
 
 Andenon, Jamei... .. 4oi do. i . •* 
 
 'Amlerton, Allan.... d«. dO. " M 
 
 : Andcraoa.jMiMi.... lUv. 8. n. Aril*Kb, MA., fkirrie 1861 
 
 : ^ng^l, ir. V. Morrii Heligmitii, K«q., M.Tcht., CharUitODLS.O.. . " 
 
 Armdur, Jmn Jamet Armoiir, Kin, Ln 8«lle, llliooU, U.fl 1809 
 
 , Ard»j|h, J J. Ard.gh, K«q., M.D., OrlllU f..... 1881 
 
 A"»nld, J Abnt'r Arnold, E.q., Rlobmond IIill...M. 
 
 ■A»««y, ...» Mm. Ailloy, Shanty Hajr 
 
 .Auitod, J*m«t —AuitoB,K«q„M.D.,(!obourg.. ......,.■...,.. 
 
 ^^hojw, John Rut. It. Hoy«r, M.A., llllllor ..».. 
 
 Checkley, F.... ... IUt. W. F. Clwckler, B.A.T.O.t)., n«rrff 1U9 
 
 > Obeckley. J. Y R. Oheckloy. Knq, M.I)., Ht. Vlnctnl, W.I. ...... lUO 
 
 Baitwood, A .^ A. Eailwooil, Rtq., Lloyd town... •> 
 
 Faloonbridgc, W. 0. J. K. Falconbrldge, K»q., Richmond Hill •' 
 
 ,, Fletcher, J Rot. J. Flcicher, nrndlurd •« 
 
 « °*^' W. H lUr. Richard Flood, Delaware, . W 18S9 
 
 «^'«^./- '•••••• ' ''»• <Jo- W«l 
 
 S'"?.O.P D.B. 0. Pord,E<q.( BrockTllIe....A.- 18S» 
 
 Forlontr, H Hn. Porlong, Toronto, .;, 1860 
 
 S"m?«'^- '<'«• . da. " 
 
 OaTillor, B. A Alexander Oavillcr,. Enq., Hond Head " 
 
 »'"<••. R- • • ' O. H. Low, Eiq., M.D., ALR.I.A., BowmanTlU*. . . " - 
 
 Jonei, A R. Jones, Esq , l%rt Hope 181 
 
 .Meredith, H H. Meredith, E«q., Port Hope. I8i 
 
 McManui, O. 0..... 0. MoMnnus, Esq., Mono...... ....." v 
 
 McManuB, R do. do. 1861 
 
 McBwan, W. P J. McRwan. Esq., Sheriff County E«»ex 1860 
 
 Myeri,junry A. H... B. Myera, Esq., Twnton r. " 
 
 Myer«,W.P... do.^ do " 
 
 Morgan J. ...... . Rer. E. Morgin, Aisistant Minister, Barrie 1867 
 
 ; McTaTi8h,D.C Mrs. MoTavish, Grafton.... I860 
 
 2*'t.'' ^ Rev. II. B. Osier, Lloydtown. 18S9 
 
 i*."?' E- • • J- R' Park, Esq., Colchester. •«•' 
 
 Rjld, L; 0.... BIrs.Reid, BowmanTillo ;........,....... «« 
 
 Ridoal, D. ...... . T. G. Ridout, Esq., Toronto. 1860 
 
 J""e".ti. :.. ........,.....;... I860 
 
 Stewart, 0......... Captain A. Stewart, R. If 1869 
 
 Taylpr H, .... P.Taylor, Esq., Whitby i860 
 
 Tbomaon, 0. A John Thomson, E3q.,.0rlllia 1869 
 
 TliompsoD, -X. B. . . . Alfred Thompson, Esq., Penetangnlsheno 1859 
 
 Tyrwbitt, J • SepUmus Ttrwhltt,Esq.,Middleton 1868 
 
 J,y'w''ltt,R....>... do. do. 1861 
 
 iVerhoff.J.O... .Detroit X... 1860 
 
 Watren, " J, B. Warren, Esq., Oshawa.... 1869 
 
 ^arren, A Wm. Warren, Esq., Whitby. 1861 
 
 (are, C. ......... . JIw, Ware, Peterborough I860 
 
 '|lkes,F.T........ Judge Wilkes, Owen Sound.. ..>...... ........ 1861 
 
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 P^t- . Parmli or CuarHlani. L^. 
 
 Armilroof. Thai... Arlhor ArOMliong, Il«|., Uo/dto««.,.,.< IRM 
 J >•'•... • do. , dOk ' ' " 
 
 BurntU, AUi ,...,.. .'..,..^.,,.t,,., , 
 
 CamplMll, J........ Mm. rumpbull. Plcki>rln« msg 
 
 0«mph«ll, B Wm. <;iiinptMli, K«q , Tornnio iRtio 
 
 OurrU Hugh.' Ilunh Ourrie. K*(\., NoUftWMm*.., \tiM 
 
 Goitk, .'... ThomM ()i)<ik, K4(|,(!i(>kiitown.. ...... \H>,0 
 
 DiiKCan, 0. f Oito. IJuMmi, K<q., Uironlfr, Toronto.... 18.10 
 
 ''•'•'"'■i K Il"n. H. U. lUrrlnoii.C.J .Torottlo........ l«HH 
 
 F»r«w(ilJ, B. J A, F«r«WPll, K«q , 0«linw». imm 
 
 a4robl«, W A. Onmblf, K«q,Himc(Ki ;.. j^-.^ 
 •»'»«lf» M . . . i . . . . A. OnflllMi. E*^., UonU H«m1. IMAo 
 
 " , ■ do. do. ' iHiio 
 
 floraon, W. Oordon,R»q..WliUby,t , , ih.io 
 
 Oore. VV. 8 Mrs. Uore, Itice t.nke .... |ra(> 
 
 Orlffln, ir W. W.ir.(5rim.hl.;«q.,D.y.P.M.(»»n, Qii«b«o. iHflO 
 
 Herman. 8. H Jj, U. JIarm«a, K*q., itorrUtar, Toronto IHOO 
 
 H«rni«n, 0....,.,, •* do. do - " 
 
 lUrman, W .,,.^..' * do. r <^ " 
 
 gtrfey. Aim R. Uervej, R!iq.,ChlcaK0,.V.. m^ 
 
 H»w«rd,r..., F. IIew«rd, Kiq, Toronto isss 
 
 Hnward, U... do. do. - . ,ii 
 
 HAmlltoD, J Wm. HumiltoniE^q., Toronto 
 
 Howell, R , R. Howell, K»q., Karrle ....,r.... 1«S7 
 
 Hunter, 0- 1 Mm. Iliintor, ()iik4anil, liiirrie ... moo 
 
 LMIjr, B. . ^ B. Lnlly, Knq . County Tn-nsurer, Ikiriifi. . lH5f) 
 
 MaRrtth, J. F Colonel Mii«ri»th, Toronto , I . , 186^ 
 
 Milne, W. 0. Milne, K«q., I'ickerin(t. • .... <«i t ..... I 
 
 MoII»»lne, W./ 1857 
 
 McKenile, C^ ... . W. L. McKonJSio. Ml' P., Toronto Iti3« 
 
 McKeoiie, K Barrle jgfto 
 
 lIcBwnn, P. A-..-' J.McEwan, Biq., Hlieriir Coimty E»«ei... IStJO 
 
 MoMnnui^R 0. MeAlnlini, Rxq, Mono . .', in',s 
 
 MoIntoi6,T........ W. Mcintosh, Esq., Newcastle........... isub 
 
 None, W W. Corrignl, Cobourff. m, IRno 
 
 Oiler, E Rer, F.L. Oslor, Diindn».™ .....V. 1858 
 
 Piwlti H J. R. P»rk, Esq., Colcheiter. ...........,.' 1800 
 
 P'rrj, U M perry, E»q., Lloydtown ]8flR 
 
 RnUlon, Jm. Rntston, Esq , Jlew Vork, U.S 1800 
 
 R«wtoD 0. C J Rrt wBon, Esq., SJMinly Hay. .......... uno 
 
 Held, J M^. Reid, Rowniitiivillc ,. 1850 
 
 Robartl, W. V. T.|P. Robarta, L'aq., Quebec. . . . , IRCO 
 
 Kobertion, H ..; 1858 
 
 Thorpe, J. L....... JJL. Linton, Esq., Pickering.. 1800 
 
 ltd* 
 
 M 
 
 I«I69 
 
 IMM 
 
 IHOO 
 
 1H58 
 
 lAOO 
 
 IXM 
 
 1H5T 
 
 18.10 
 
 IN.18 
 
 IIAB 
 
 1868 
 
 l«.')8' 
 
 1857 
 
 18.57 
 
 1838 
 
 1868 
 
 M 
 
 1800 *, 
 1867 
 18.50 
 1R5S 
 1857 
 I860 
 1857 
 V857 
 1859 
 l«ftf • 
 1861 • 
 1858 
 18.50 ' 
 1B58 
 1887 
 1857 
 18.50 
 1800 
 1857 
 1858 
 1857 
 1868 
 
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 \ 
 
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i*TS:!^spis«JB^« 
 
 MAStERS. 
 
 HEAir MASTER > 
 
 Rev. W. F. Gheckley, B.A., Trin. CoU., Dublin. 
 
 MAtHBMATIOAL MASTER: : , 
 JaS. JOH»STOK,*E8q^ 
 
 . SBOONDMATHBMATIOAL MASTER t 
 John Magee, Esq., Scholar, University, Tordttto. 
 
 ENGLISH MASTER: ^ 
 Hbnrt KtA«iN, Esq., Scholar, University, Toronto. 
 
 FRENCH MASTER: V ' 
 
 Monsieur R. Cuiri, late of the College of Avranches, iFrance 
 
 PRAWINQ AND WRITING MASTERi 
 J» G. BRATHWArrE, Esq., . 
 
 •: . ■ ■ ■ 
 
 ( ■ , - 
 
 . ' ■ i 
 
 • - 
 
 ^^ 
 
SPECIAL PKIZES 
 
 TO BE CQMFMTEJ) FOR AT THE ANNUAL 
 MIDSUMMER EXAMINATION.' 
 
 ClJissios. >• j« •••••«•>••.•••••.•• .Gold Medal 
 SubjeOaof EzamiiuUion: 
 
 , > LATIN. 
 
 Sallnst^atalina. 
 Virgil\£Qeid, 
 Horace Odes. ,' 
 Lat|a Composition.' 
 
 GRBVK. 
 
 Xenophoo's Anabasis, Book I. 
 'er'sIUiad, « I. 
 
 Odyssey, " K. 
 
 Gtedk Composition. 
 
 Modern Languages. ..... ^ ./.. .. .Grold Medal. 
 
 iSu^ifecti (^ Examination : 
 
 ; ENGLISH. . 
 
 Fowler's English Grrammar. 
 Latham's l£indbook of* the 
 
 English Language. 
 Trench's Study of Words. 
 
 " English Fast and Present 
 English Comjposition. 
 
 Anderson's Geography. 
 White's English CUstory. 
 
 rRENCH. ^ 
 
 De Fivas* French Grammat. 
 Montesq^uieu, GrandiBur et 
 Decadence des Remains. 
 Voltaire, Charles XIL 
 French Composition. 
 
 Mathematics. . . .. ..'... . ....... . .Gold Medal. 
 
 Sul^'ects of Examination : . 
 Arithmetic. 
 Golenso's Algebra, Parts i. and IL 
 
 " Euclid, Book L^VL (with exercises.) 
 
 " Trigonometry,PartL • 
 Mechanics (^ofessor Cherriman's). < 
 
 Naturac- Sciences. . . . . . . . °. .An Achromatic Microscope. 
 
 SiA;'eets of Examination: 
 
 RUterson's Zoology; "^---^ 
 
 Agassiz and Gould's Comparative Physiology. 
 Gray's First Lessons in Botany. 
 
 Elements of Chemistry in Chambers' Edacatioual Course. 
 Hitchcock's Momentary Gteology. 
 
 'i . • i 
 
il'- 
 
 Wf^sim' 
 
 
 SOHOLAKSHIPS. 
 
 Names of {hose vih M^^ ^^'^' '^\*^ 
 
 jyames oj '^^^^ ^^ ,^.^^^^ ^^ring tfu! year, 
 
 1858: ■ . 
 
 H. RoBERTWW obtained a Scholarship in Law.__ 
 // T. KiRKLAND, « « '" Mathematics. 
 
 F. H. C. Brathwaitb, 
 
 « in Civil Engineering. 
 
 /-. 
 
 : F. G. DuGGAN Matriculated in Iaw. . , ^ , nhtttinBA a 
 ' Thos. KiRKiAND passed first year's examination and obtamed a 
 
 - Scholarship in Mathematics. . .5^^ .„ « ., "^ 
 . F. H. C. Brathwaite passed first year's examination m Civil 
 
 Engineering, 1st class in Mafhematics. 
 M. Caviller obtained a Scholarship in Engineering. _^ 
 A.BuRNEiT,) Matriculated in Engineering, Ist Class m 
 W.S. Gore, J Muthematics. ^ ^ « , i 
 
 Matriculated at WGill College at Montreal. 
 j. L. Reid in Engineering. 
 F. H. C. Brathwaite in Medicine. 
 
 Names of those who passed Hui prdindnary examnaiion before 
 
 . the Board of Provincial Land Surveyors: 
 
 j;L.REm...;................."v....V.[Standing]Fiwt. 
 
 F. H.C. Brathwaite. .....-...•••••••••• ruBi.. 
 
 ■". ■ ^: ■■ ■■ 18-59: - 
 
 u ' ■ 
 
 J. Armstrong. .. ^. •.«••••••••»••••: V ** * 
 
 Matriculated in Medicine'. 
 
 Thomas Armstrong ... . . . • ..........•••• .Victoria College. 
 
 Passed the EntrameEzamination before the Law Society: V 
 
 Hi Robertson, ....•...»•••• fE. Lallt, 
 G.I.ouNT,................-E. J. Farewell. - 
 
 Pass^ the CimU Service Examination: 
 
 H. W. GRffFIN. , 
 
 I860: , " 
 
 > H. Rbazin "passed first year's examination, and obtained a 
 
 Scholarship in Agriculture. , . . „' . ♦• 
 
 J Magee Matriculated in Arts, 1st Scholarship m Mathematics. 
 
 G. Lount, : ■ 2nd J\ . . « 
 
 B. Irwin obtainedil Scholarship m Engineering. 
 
 > Jno. G. TiRRELL ♦♦ Agriculture. v . 
 # E. Cleri Matriculated in Arts, with First Class Honors m 
 
 Modern Languages. 
 J. Johnston " - « " Mathematics:^ 
 
 W. Milne « in Medicine. , ^ ■ „ 
 
 — Pat MtEwAW " - in Arts, S e cond Cla ss H nnnw. | 
 
 ■I' 
 1 ■ 
 
BARBIE GRAMMAR SCHOOL, 
 
 '1 
 
 ■I' 
 I ■ 
 
 EXAMINATION PAPER/S, 
 
 ' -:. ■•; -, : ■ ' '■: -I : 
 
 ^ JTJITB, 1831. 
 

 -»(> / . 
 
 .•*t 
 
 /i 
 
.*W«Tpj^J, 
 
 ■ * 
 
 ■ . n 
 
 "Sr 
 
 0REEK. 
 
 Translate the following psMM^e : 
 
 'Hutu rot Tfio(n9s» dnoKXafx^ivrsi 'Axatoi 
 itoDToloti i»ifieta» Cntip lUya lalrffa 6aXda«7it, 
 otxadt Uittvol, aiAijw 6i6v,iXXa xdtuSa^ 
 ijk^/uv oikm 1C0U Ztht ^^tkt fiT^Thaui^at. 
 Xaolf*ATptl8tw'AYaiitftvwo(:tl>x6iu^'ttyatf 
 rou8^vovYtpii:fiinwimoupdvio9]ilioii<ntv 
 . T(Sff<njv yip iiirtspas itoXtv, xai iitioXtatXaaui 
 voXXou^' ^fuU y oJre xt/oytS/uvot rd irA'fo%>a 
 lx6fu»\ «r « 7r«J/>otc S€ivijim,^t xai &XXm^ 
 iohiz iwTlyfjv ^T« ^tlvtov &int<; iarlv. 
 iXXal9slo, tpiplffTt, *to6c • hirat 8i rul eipfv • 
 Zthf If hctttiaJTtitp IxsrdmvTS Hivwv rt, 
 ^tivto^, 9i f t&o(tfcv S/t aldolotatv dir^itt. 
 
 § 
 
 ^Ktoiitli, &^etv\^ rrfXa^sv ttX-^Xoufa^t 
 Of fit ^ol/i; xiXtat \ itiSlptv ^ &Xifui9aU 
 nh yip KvxXanct^ AidiaiyidxouiXiYoufftv, 
 odSi ^m/taxdputv * iitt^icoXh ipsprspot tl/itv, 
 ouS' av lyit Atd<: !][&oi iXtodftevoi- ict^tioipjiv 
 o^re rft5,«w* irdpovytl jirj ^tj/ii^ fU xtXsutU 
 aXXd iiot sii/f% 8irq iaxti li>v ehtpyia vr^a . 
 TJ itou jff' iaxan^i, ^ xa) ffx$86v, S^pa Satim. 
 
 Odtssbt IX,25a— 280, 
 
 ■;■■/.'•■■ ■;■..''.■■■ ■ . '-'I ". ' 
 
 1 . Parse bxmXafidlvxtii^ Uiavoi elXijXooda<:y SetdlfUVf letftidtpa^. 
 
 2. Give the derivations of mjAir, w^Trfo?, paatdpm t/xtddy, xOxXtup 
 
 alytdxovt n 
 
 3. 'H/uUTot tpobfitv. i^lain the use of rot. '*^ 
 
 4. 'adiuff ft « jrojooc?. Supply the ellipsis. 
 
 5. febo^Fov. Explain. ** 
 
 6. Bistingnish between Aad< and %oc^ 
 
 7. Give the ordinary forms pf the dialectic varieties in tho^ 
 —:L.^;above passage. ' -^.:i — ;„^.-i-w^~™~-- " ^^ 
 
 8. What difference between tiie Cyclopes x>f Homer and those 
 
 ofVirgilt / 
 
 t 
 
 
, V' 
 
 > 'i ■■■••■- 
 
 IxA-TIN./ 
 
 Translate the following matage : 
 
 Port ea miraW^ur non nine lifibtis esset 
 
 Prima dijM; Causam percipe, Janus ait. 
 Tempora^mmisi nascentia lebnsagendis, 
 
 To^jis alpuspieio ne foret annus ioers. 
 Qujique^suasartes oh idem delibat agendo, 
 pln^quamsolitumtestifieatur opus. 
 Viox ego : pur, quamvis aliorum numina placem, 
 
 Jane,'Ti|)i primum tura merumque fero t ^ 
 
 .; X^t'poasisaaitum per me, qui limina servo, 
 . Ad quoscumque voles, inquit, habere deos. 
 At cur ladta tuts dicuntur verba Kalendis, 
 
 !Et damns alternas accipimusque preces 1 
 Tum deus incumbens bacnlo^ quern dextra gerebat) 
 
 Qmina princ^>iis, inquit, inesse solent. 
 Ad primam vocem timidas advertitis aures, 
 
 Et visam primum consulit augur avem. 
 Templa patent auresque denm, nee lingua caducas 
 
 Concipit ulla preces, dictaque pondus habent. 
 
 Ovn) Fasti 1. 165— 182. 
 
 1; Give the derivations of iners, ddibat, tura, Kalendis, augur, 
 Fasti, temjia. 
 
 2. Give someaccount of the Boman Calendar. Express in 
 
 Latin, August 9th, ]\^rch 2ad, Jane 21st. 
 
 3. Give a ^tch of the life of Ovid. 
 
 Translate the following passage : 
 
 Eadem GaUi faitentnr ; ac Lentulum dissimulantem coargiiunt,. 
 
 E raster litteras, sermonibus, quos ifle habere solitus erat: ''ex 
 bris Sibyllinis, regnum Romce tribus Corneliis portendi: Cin- 
 jiam atque Sullam antiea; se tertium, cui latum foret urbis 
 potiri : prseterea ab incenso Capitolio ilium ease vigesimum an- 
 num, quern asffpe ex prodigiis haruspicesrespbndissent hello 
 civili cruentnm^fore.'' Igitur, perlectis litteris, cum prius omnes 
 si gna sua cognovissent, senatus decemit, <* nti abdicate mag is- 
 tiata liontulus, item ceteri in liberis custodiis haberentur." 
 
Interea plebes, conjaratione patefacta, qnsD primo, eapida 
 r«rum novarum, nimis bello favebat, miitata in^nt0, Catili- 
 nsB consilia exsecrari, Ciceronem ad coJlum tollerd: veluti 
 exservitute erepta, gaudidnn atqiie iGBtitiam agitabant. Nam- 
 que alia belli ikcinora prasdsB magis, q;iam detrimento fore ; itt- 
 ceDdinm vero orudele, immoderatum, ao stbi inaxime calami- 
 tosum putabat; qiiippe eui omnes copiae in usu quotidiano et 
 cultu corporis eratit. Post eum diemr qiiidam L, Tarquioiiis ad 
 ■bnatum adductus erat, quern ad Catilinaiii proficiscentem ex 
 itinera retraotumaiebant. 
 
 1. 0(Uli. Whnt modern poimtries were comprehended, under 
 — ,_ the terra GuUial- ^ — — : _^___^i_^ 
 
 2. Bzlibria Stbyllinii. State what yon know about thent. 
 
 3^ Tribus Corneliis. Distinguish between nomen, cognijmen, 
 * agtfomen, 
 
 4. Give sketches of the lives of Sy//a and Cicero. V. 
 
 5. J>istingnish between j>/^9 and /w^n^/tM, interea and interim^ 
 gatidiiim au<\ liftitta, scio and cognoseo, 
 
 6. Explain the use and significatiqn o(hic,iste, itle,is^^uit, qui, 
 
 7. Give the derivation otAuspex, knruspex,caiamitcsus. 
 6. Posi eum diem. Illustrate this idlpm. 
 
 9. . Liberia custodiia. Explain. 
 
 ■T 
 
/ 
 
 AkTIQUITIBiS^ 
 
 1. Give a Wef sketcli of the Sparton CowtitoUon as eabt*. 
 
 lished by Lycutgus. 
 
 2. Describe briefly the Spartan Army, as to its divisions, ariMj 
 
 Sco.jSco. . . ,-}■'■ :':' 
 
 3. Explain the use of the tfxitoii). 
 
 i. Give an outline of the Athenian Constitution in the time of 
 Solon. 
 
 6. What were the duties, find what the privileges of the 
 Utrouot at Athens. 
 
 6. State what you know as to the objects of ostnicism, the 
 
 way in which it was carried out, and its effects. 
 
 7. Give some account of the division of the Romans by Servius 
 
 Tullius into classes and centuries. ;^ 
 
 8. Ebtpkin fully the terms (wfo»i« and »m«nicii»a. 
 
 9. What were the nature of the Agrarian l4awi of Licinius 
 
 and the Gracchi. 
 
 10. Explain the privileges eonnubivm and commercwntk 
 
 11. Give some account of the Roman Magistracy during the 
 Republic. 
 
 \%k Explain thg terms dmimOio capitis, jusitnaginum, vitidkUt 
 pratoris, * 
 
 . .t ,.: fe'j. .. » :' 
 

 .'S^-^ 
 
 iriuoM, arms^ 
 
 « of Licinius 
 
 FRENCH. 
 
 im 
 
 I. 
 
 1. Explain the use of avoir and Hre as anxiliaries. Give ex- 
 mpies of verbs which oaa be conjugated with both avoir 
 and itre, and explain their meaning when conjugated with 
 each of these verbs. 
 
 i. Explain by examples the difierence between ji/oyer and fUer. 
 vitntneux and vitUneux, coruomner and consumer, d terrt and 
 par Urre, rtpartif and ripartir, d la campagne and en cam' 
 
 S. IVanslate the following sentences,. and give tuleAfur the nae^ 
 
 ■ ■■ of «•: ■ ■ „ ^ ^ -,. .-.^ -1 , ■ .- 
 
 n V Us en veulent t'ma vie. ; V^\ 
 
 "h) 11 ne sait Od il en est. V ' "^ 
 
 IsS Nous nous sonimes promen6s a n'en pouvoir plus. 
 ' (4) lis en sont venus aux mains. 
 
 4. How. uiay telhe translated 1 How is it varied when it pre- 
 
 cedes a verb 1 I 
 
 .;'''■, . . '..1 
 
 5. When do we use dtmtt aniil "^hen d'od 1 Examples. 
 
 6. How does the past participle of a pronominal verb difier from 
 
 any other) Construcit Sentences in which ie pkure, u 
 «MMre,andie«u^8i« will be used. / 
 
 7. is ow« always reginse direct I . If not, give examples in 
 
 which it is indirect. 
 
 9. When are si and aussi to be used in expressijs^ comparison 1 
 Name all the words by^ which a comparison may be made. 
 
 .9. Ckureot the foUowinflf sentences, if wrong, with reasons for 
 such corrections: /' \* ■ 
 
 Ct\ Ia tass6 de th6 q^e j'ai pns xtCa fait du bien. 
 0^1 if fant rifl^chir aiiperavant de parlor. 
 (3) li'homme d'ui;i[ plomb moztel atteint cette aigle alfiire* 
 
 / 
 
 U. 
 
 Translate into English : 
 
 II nfatteudait pour executor ses grands desseins qne Pemploi 
 d£f preiuier vizir, dont sa jeuuesse I'ecartait encore. Dans cette 
 idee, il aVait plus besoin d'Strd Tallin que I'ennemi du^|nr, son 
 intcrSt ni sa volenti n'6taient pas de garder plus lon^kps le 
 j Tui .do So 6 d e , e ncor e moin s d' a r m er la Turgu ie e n sa fii veu r,* 
 
 ^:/'-; 
 
 
■ifm^m^ ?^>'<^PPIii'l ,; 
 
 ■l:.r 
 
 Vm MUlement il ymiklt reavoyer ce prince* mail il dimit ou- 
 ▼ertraent qu'il n« fallait p)ui soiiflrir d Jaormaiy aiioun miniitra 
 ChrAtien 4 Constantinople, que tons oei ambaamdeun n'etaient 
 qiiedea espioni honorablet, <^ui corrompaieqt, ou qui trahiwaient 
 lei viairi, et donnaient deptiis lonstempi le mouvement anx in- 
 trigues do «6ra»l; que lea FrancH, ^slabjis a Pera, et daps lea 
 Achelleadu Levaiit, sonl dea marchands qui n'ont besoinquo 
 d'un c6nsul, et non d'un ambassadour. Le grand vizir, mri de-- 
 vait son itablissemont, et da vie niAino, nu favori, et quo do pliu 
 le craignait, se conforrhait i sea intentions d'autant plusais^ 
 ment qu'il s'Atait vendu aux Muscovites, et qu'il espAratt sa 
 venger du roi de Sudde, qui iivait voulait le perdre.— CAar/<i U 
 Douze,jiage 184. 
 
 1. How many meaninga may te given to Hi que, ind how iomi 
 
 each meaning affect the article 1 
 
 2. ITHaient p.u de garder. When xtinfjMU and point be soph 
 
 pressed, and when must they be suppressed 1 Explain the 
 
 difference between " Cet-tnfant n'etudie pas," and " Cet 
 
 enfant n'etude point." 
 8. Aucun ministry. When do aucun and nul U^e the mark of 
 
 the plural, and when not 1^ _— ^ j f 
 
 4. Ou. Give exai^ples of words whkJh vary when they are 
 
 accented. 
 
 •"» 
 
 B. Qui dtvait. In how many different ways may this verb be 
 translated? Illustrate. 
 
 m. 
 
 Tranalate into English : 
 
 .. Ce n'est pos la fortune qui dbmine le mbhde ; on peut le de- 
 maqder anx Remains, qui eurent une suite continuelle ire pros- 
 perities quandils se gouverndrent sur un certain plon,et une 
 sHite nbh interronipue de reverslorsqu'ils se conduisirent sur un 
 autre. II y a des causes g^ri^rals, suit morales, soit physiques, 
 qui agissent dan? chaquo monarchie, I'^ldvent, la mointiennent, 
 ou la prfecipitent ; tons les accidents sont soumis k ces causes j 
 et' si le hasard d'un battaille, cest-i-dire une cause particulidre, 
 a ftiin6 tin Etat, il y avait un cause g^n^ral qui faisait que cet 
 Etat devait p6»ir par une seule battaille. En un mot, I'al lure 
 principal entratne avecelletous les accidents particuliers.—JMbW' 
 tesquieu, : «■■■■. ^ .'..;■-■ ■ ■ i, . './•': 
 
 1. Le demandtr, To what does 7« tefer 1 Tiranslate, Areyoti 
 
 happy, madain 1 lam. .^ 
 
 2. Interrompue, Why varied I Give the rules relating to past 
 
 participles. ' . \ '■' | 
 
 3. Revers. Form the rtoral of gen(M,ail,hawe-sac,s(ms-ferimeri 
 
 4. Quils se conduisireM. Give primitive tenses o£ conduire, 
 — mmmr,souriTe,ifiv r e, s'cuse o ir, and ba r e. — — — - — ■ ' ■ 
 
 y 
 

 
 vn ■".■ 
 
 ^. When did Muntesquieu write t tnd name other npt^d met} 
 )vho lived at the lumo time. 
 
 ■•/ 
 
 IV. 
 
 Translate into Frenoh — 
 
 It would lio iraiKMsiblo to form a correct cstimato of the 
 power und resources of Kngland, without (M(ing into roiisidor- 
 Btion her vast colonial empire, wliich furms her pcciiliur giorjr 
 and distinguishes her from the other nations of modern Knrope. 
 What Greece was for the ancient world, Knglutid is to the 
 modern. If we look Inck into antiquity, wo nhiill find that it 
 was the peculiar cimructeristio of tho Creeks that they Minight 
 new Huttlumcnta, not for the object of foreign conqnest, hut timt 
 they might transfer thither the lawb uiid institutions of their 
 native citios, and enjoy the blessingik of frccdoui in a laitd les^ 
 crowded than their own. „_ 
 
 ms 
 
 
 ' V 
 
 3 
 
 --^V 
 
\:.;.. 
 
 
 BNOLIBU GRAMMAR. 
 
 ^ 
 
 4. 
 
 . '■■-/. 
 
 -- 1 /Give tham^iflcations of Noun- and rrononot. Define each, 
 llow we they soverally determined t . 
 
 2. Cta«iify'Pn)riot,n.. What jiicull.nty in ^»!« formatfen of 
 
 Compound rersonal I'ro.Hmn. t Di.tm«u,.h »>«twc*n my 
 
 . and mine, each and eve^ither and netU^, each other and 
 
 oneanotlter,whoan^,fmoevifi^. , 
 
 3. The modifications of Verba. Give examples of personal 
 
 endings. In how many ways may a verb bo conjugated T 
 Conjugate the Verb Do in the future tense, explaining the 
 . xwe of shall and will. , 
 
 4. PARBi:-Be sincere in aH ypur words,and obligiflg in all 
 
 your actions. / ., ■ - 
 
 What wo know is notbitag, but what we ai^nonint ot 
 
 / is immense. m^;- 
 
 6. toBWCT, WITH RBAioRp/t-The Examination!. 
 
 ing, at Which I. will be sure of a prize, and so shall my 
 brother; then comes the holidays and vacation, and when 
 
 wfely arrived at home, I intend doing my best to 
 Jettinguiny kind of amusement escape me. 
 
 '■Ktii- 
 

 HISTORY. 
 
 I. 
 
 -i^fftA''/* 
 
 l.\the oironmstkncei which give jri«e to each of tho dynutiM i| 
 \ of England. ♦ || 
 
 8. Si^te what you knowo of the wars of the Rofei. m 
 
 3. Motion the prinoi|iol wars and bottles of tingland, since the 
 Ctkiqiicst, with dates. IIow did they aflect the acciuisUion 
 • or lyssof territory! 
 
 :■ :, . ;.: .n.' ■--'.••■■■> • -. ■>■■ ■^' ■ 
 
 4. The origin of the picbs. Sketch ftilly their struggles for 
 equality, with dates and leading churucturs. 
 
 B. State what yon know of the Punic wars. 
 
 6. Who and for what noted were (1) Pyrrhus,(2) Mithridatei, 
 
 (3) J. Cajsar, (4) Octavianus. 
 
 .\ 
 
 ^4 
 
 ^11. 
 
 7. Give a brief desoriptron of t1ie geography of anoieot Greece. 
 
 8. Give a brief outline of the t^loponesian war. 
 
 9. Mention the principal invustons of Greece by Persia, and of 
 
 Persia by Greece, with the more important events com- 
 tneaced vHth each. 
 
 I 
 
 
 
 MR. 
 
 rt 
 
 _ • 
 
 
 
 -■ '.' :':'. '■- ' "•■ , - '■ ' ■ 
 
 ', ■ ' 
 
 ■•vl 
 
 
 •. 
 
 5 
 
 
 T 
 
 
 > 
 
 " '"■■'* ■ ■■♦■. .. 
 
 
 
 -;s^- '.w^-' 
 
 • -4- 
 
 • < 
 
 
 
 
 V 
 
 *v 
 
 -1 
 
 
 / ■ ■ 
 
 A 
 
 
 > 
 
 k 
 
 « 
 
 X 
 
 -triTmil 
 
 *- ' ^H 
 
 ^jM 
 

 toOOBAi^HY. 
 
 \< 
 
 I. Define the terras latitude, longitude, straH, foadsidS, kmhii 
 meridians, tropics. ^ . 
 
 g. Give the principal islands of (I) Asia^ (2) Australasia, (3) 
 Scotland, (4) Ireland. ' - 
 
 3. Trace three of the principal rivers in each of the Continents> 
 
 and in England, Ireland and Scolland, 
 
 4. Give' the boundary of (1) Prussia, (2) Afghanistan, (3) 
 
 igypt» (*) Lincolnshire, (5) Sutherland, (6) Virginia, (7; 
 Viptoria; C. W. 
 5: The priiicipal towns of Penmark with their positions. 
 
 6. The Counties of Connaught, and those of Scotland in the 
 
 basin of the Forth, with their positions. * 
 
 7. The Counties an4 County Towns of Canada West. 
 
 8. Give some account of the uatural distribution of plants and 
 
 / animals. « „ « . /q\ 
 
 9. Give the position df (1) Baltinaore (2) Hari«rs,^g^err^ (3> 
 
 Galveston,(4) Montgomery, (5) Birmingham, Wff*»^yf 
 Tv IvH (7) Paisley, (8)Drogheda, (9) Frederickshal.XlO) 
 Go trnbu L(ll) &lsingfor:(12) Dantzig, nsy^^^ 
 S)Xluse, (15) Mprieilles, (16) Stutgara, (17) HamaPi 
 l8).Trrdad (19) siiety islands, (20) Charlotte Town: 
 
•», 
 
 and 
 
 -\-, 
 
 ARiTltMETIC. 
 
 iV/ 
 
 1. Sow is ouf common decimal System of notation extendcjd id 
 
 fraction? In whole uiimbert, for every cypher added t«^lhe 
 
 extreme right of the number its magnitude is increabcd ten. 
 
 . fold. Why is this not the wise in Decimal Fraotipinsi 
 
 ~*^ What change in the decimal increases its value tenfold! 
 
 *. 
 
 2. Explain the Roman method of Notation. Express the nura- . 
 
 bers MM MDCCCLXXIV, and CCCIooo in words, , 
 
 3. Prove that . - , ! 
 
 3.25+21 73.8x8-19 of.0009747 _ 
 
 (iy .=5i (2) — —- -——^=6.3099 
 
 V^ 3i-2>^ ■ .0018 ; . 
 
 Explain the ihethods by;i«^»Kih (1) rectangnlar areas, (2) 
 rectangular soliJs ar6 measured. Illustrute with hg" res. 
 If 1-12 inch be the unit of linear measurement how many 
 square units are there in a square foot, and vvhat nnmh^t 
 will represent the solid content of a piece of wood, leet 
 long,2 in. wide, 3-5 in. thick. 
 
 h.'Explain the meaning of the terras Ratio and Proport ion. 
 Show that if a projiortiou exists among four niimLers taken 
 in a certain order, it will also exist among the numbers 
 taken in the contrary brder. , 
 
 6. A person takes 55 min.to walk from the Grammar^School to 
 
 the Station* and 29 mln. 40 sec. to return by the boat, row- 
 ing twice as fast Jis he walks. The distajjce by the road is 
 3; miles ; what is it by tUe Lake. 
 
 7. State clearly the distinction between Simple and Compound 
 
 Interest. Stale and explain the Rule for Simple Interest. 
 
 When the interest, bas to be calculated from a certain day 
 
 to another day, how are the days Reckoned 1 
 (i) Find the Simple Interest and amount of $886.25 for 
 
 5 years, 9 months, and 18 days, at 7 per cent per annum. 
 (2) What sum of money at 6 per cent, Simple Interest, 
 
 in li years, will aimonnt to $455.55. 
 «. What is meant by Discount 1 Ujion what principle ought ti 
 
 to be calculated? Shew that the customary discount on 
 
»'! 
 
 paying a bill some tioie before it is daev is greater than tbe 
 true discount by the interest on this latter sum for that 
 time. What are the true and customary discounts on a bill 
 of £257 89. B{d., paid 210 days before it is due, at 6 per 
 cent. Give the result in dollars and cents. 
 
 9. Explain the following <||Dtation from the London Times: — 
 '*« Consols which left off on Saturday at 914 *o l» have 
 ranged between 91 1-8 and 91} ; the closing quotation is 
 again 914 to S. Bank Stock left off at 207^ to 209 ; Re- 
 duced 91 to | ; new three per cents 914 to }.'* V 
 
 10.. The population of three towns in Canada in the year 1850 
 were 2035, 4220, 5009, and in the year |861 they had in^ 
 creased respectively 9, 10, and 12 percent; find the averr 
 age population of the three towns in 1861. 
 
 n^ A boy must got 4 marks to pass this ejcamihation, he an- 
 swers { the questions, but to '5-6 of his answers gets on 
 an average only 2-5 of the marksj and thus gets 25 marks, 
 too few to pass.' How many does he get altogether 1 
 
 IS, Jf the train did not stop on its way^ it would come from" 
 Toronto to Barrie (62 miles) in 3 hours. If itstops^at 5 
 Stations and loses 4 minutes at each'; if also it only goies at 
 half speed for the first 2 minutes atler each start (not in- 
 eliiding the first) how long is it performing the distance. 
 
 '•r<Ji?»V'' 
 
 'r^ 
 
 m 
 
 2. 
 
 3. 
 
 4. 
 
 b( 
 
 Is 
 5 
 
 . 6 
 
n. :■■ 
 
 
 '\ 
 
 
 m-- 
 
 ALOEB^A. 
 
 ■; , ■-■■ , ; ■ m- :■■■'-: - : .^ 
 
 ': Divide I— a;* by 1— i?. 
 Expand (1+a:) (l+'a?) (1+**) (l+a^)— (1+^) « »--- 
 cending powers of a;. 
 2. Show how to find the least whole niimber Vhich js accnr- 
 ateiy divisible by each of two given whole numbers. 
 Tind the least nnmlier of ounces .pf standard gold that can 
 
 be coined into an exact number of h«if «<;l«'«a 5 ^'^"f " 
 /. ard gold being coined at the xate of £3 17s. lOid., to an 
 
 ■ .ounces .■; -. 
 3 Define a fr^ctidrt, and from your definition prpye a riile for 
 addTn^ together' two fractions with different denominators. 
 
 Add together the fr»ctions-|| 
 
 Ci-^ab 
 
 (a+6)W'0 (b+c)\b+a) (c+a)(^6). 
 
 4.'ProVearule for extracting the square root of a'.compound 
 Algebraical quantity. . 
 
 Showthatif— . .J ' 
 
 it4+aa:3+6ai8+ca;+a / 
 be a complete sqnare, the coefficients satisfy tho Equation 
 
 Is it nece^ry that the cftefficients satisfy any other Equation \ 
 
 6. Eliminate x, y, c, between the Equations 
 
 z X X y 
 
 - + - = &, -+-=c. 
 
 % z y ^ 
 
 6 Shew that a quadratic equation cannot have moje than two 
 roota, and solve the fo^wing equations ; 
 
 y ^ 
 
 — + — — «» 
 
 ' z :. y ■ 
 
 CO 
 
 *^^i^^^^^^ 
 
(2) (p'-l («-«) («-3JI - («-*) («-8) («-') 
 
 (8) T7: + r-:."- 
 
 ;«+a? a^T!-a' 
 
 15 
 
 (4 y+* 
 
 — , J8 + « — —# fl! + y » — 
 
 7. Find the ■um of a series of quantities in geometrical j^Or 
 grewion. / 
 
 Apply the result to find a common fraction equivalent to a 
 recurring decimal fractioD. «. 
 
 If a be the first and 6 the Iwt of a series of n quantities in 
 geometrical progression, piove that the continued product of 
 the terms vf the series is (a6)*», 
 
 6. If a, 6, c, be a series of quantilies, and x be a quantity der 
 pending b» them in such a manner that z vaties as a when 
 the rest are constant, and thot a varies as b when the rest 
 are constant, bnd so on ; shew, iliat. when they all vary, 2 
 
 ^~ varies as their product. 
 
 Appl y ih is principle to the following case : — Assuming that the 
 quantity of work done at a sitting varies as the Cube root 
 of the number of agents, when the time is the same, und 
 varies as the square root of the time when the aqniber of 
 agents is.the sjime ; find ho^Kr long three men woufd take 
 to do one-fiflh of the work which twentyrfour men can dQ 
 in twenty-five hours. 
 
 :9. I leave the Barrie Station at 8.30 o'clock, p.m., and 10 min. 
 after I meet the orhnibus, which, after stopping 15 min. at 
 the Sation, passes me again opposite Judge Gowan's, 2X 
 miles from the Station, at 9.20 o'clock. Find the rate ait 
 which the omnibus travelled. 
 
 }0. In the late boat race, when the boats turned at Fisherman's 
 Point, I was J of a mile on this side of it, and xowing in 
 the direction of Barrie at the rate of 6 miles an hour, t 
 observed one boat 30 yds.ahead of anbther,and pn|pas8ing 
 me the distance between them was diminished to BO yds. 
 The first boat is overtaken by the second opposite the 
 teacher's boat house, a mile from the point. How lonjg 
 were they jrowingfrdm fisherman's point? 
 
 '■•:t 
 
 
■; . l«,!: 
 
 *>/;■;.•■' ■;*-.^-" 
 
 . ■ V > . ■ 
 
 'if'*' 
 
 ^■ 
 
 ,. Find the mioibet of permaWUm ^^J^ _ 
 
 T^^n points in space^f-^^ 
 
 there is no other i^ane ^^^'fCfeXf^wS contains •. 
 them } howmany nlanes are there, each 01 wnw 
 
 three of the pointsi ^ , 
 
 2. Prove the Binomial Theorem for a posUive integral valpe of 
 the index. . ■; 
 
 Find an appro^f imate vatue of V 108 ^ 
 
 3: Find an expression for theamount^gnjenjui^^ 
 which has accumulated dunng a given numoer 01 y 
 a iriven rate of comix)und interest. , .' * „« 
 
 l»»-fold in w^ years, prove that 
 
 f^3s nlogpP»^ 
 
 ^.AcertainmemberoftheMi^^ 
 
 . from the Government. His pbance "f «^«| ^ ^.^ance 
 
 Parliament «V^'fSr fof four Cr^ is as 5 to 6, what isthe 
 of remaining in office lor. lour years w no » 
 
 valueof his expectation 1 - 
 5; A mortgage » W» to "n ,»», W^^ 
 
 6. Shewthatif . ^ . c^^rt^ xi - ^ 
 
 fci^vdnes of .,.na if the ooeffioieuU do not ino«a» 
 without limit. 
 
 Find the sijja of the series .^ ~ 
 
 ■r 
 
 
 ^ 
 
 M 
 
 \ 
 
 ■■.>■■ 
 
 
 ^ 
 
 
 i^^^^^ 
 
 
 
 ■.u'!*^..tS.u']tuI5LZ^«Jjiaa 
 
 ii^^fii'yiiffiiite'Mi 
 
 agpaa^ 
 
 
 
 Jt 
 
 
 
 fe^issa.-*(. ^ 
 
 
 
 
 
 
 ~' *■* --* '^'- ^--^^ 
 
 IE©S^^^^ 
 
 **^^^3TO 
 
 &i^M^^ 
 
 aaESBJgKr.-JW 
 
7. Prore that th^ spm of the product of the fint » natoiml 
 ' mimbera, taken two and two together, u 
 
 («~l)»t(n+l)(3n+2 ) 
 24 •■ 
 
 • ■ 
 
 8. Shew that'the ram of all the harroonio means, which can be 
 
 inserted betHf een all the pain of numbera, the sidm of which 
 isn/is ■ ' '?"*■'■■■ ■ ■ . ■ , 
 
 9. Define the terms conreirgent and divergent, wheil applied 
 
 to a serira of quantities real or imaginary. . 
 
 Investisate a rule wj^idh'is ordinarily sufficient to ascertain 
 ' whether a series is or is not convergentr -. 
 
 Are the following serieis convergent 1 
 
 3 ' 6 7 9' 2ii-»-l 
 
 (t) _aj— — j# + — aJ«+ -^ii:*-f.--- -^— ^ -_ 
 
 2 6 10 17 »i»+l 
 
 wheve x is leal. 
 
 n ii(«— 1) ' n(»— l)--(n— a:+l) 
 1-i — x+ -^ a? ^ ..... . ^__ , — jfi J. _ 
 
 when X is less than 1. 
 
 ■r-; 
 
 r 
 
 
 '^■ 
 
 »:: -r^y 
 
 C^. .■;■.: 
 
 ^.•» ; . 
 
 '^^Wrl 
 
 ■v>^^-.. 
 
"Ta^lp^"'^ 
 
 ih6 ■ 
 
 ioh 
 
 V''-- 
 
 *■ 
 
 :\ ., 
 
 ied 
 
 A ■ 
 
 ain 
 
 
 1. 
 
 9. 
 
 EUOLID. 
 
 What obiwlion. have been urged «8«\n»V*»«, .^?'*XI'I 
 parallelitraight lines, as it is laid down l>y EucW r ^Iv^ie 
 ipes the diafculty originate, and what has been suggest^a 
 to remove iti 
 
 State the 12th Axiom. In some ^^^^^f J/]" ^SS'7mh". 
 
 hud down as an a»ion more evident thaO ^*^°''^* *£ i! 
 
 Kt two straighMine, which cut one ^^-^^\^!^'^[X^ 
 
 . be pBrallel to the same straight Ime. Show m^ »» on'Y » 
 
 disguise of Euclid's Axiom. 
 
 3. The opposite sides and ingles of parallelograms are equal to 
 one another; and the diameter bisects them. 
 / Iftheoppositesidesorthe opposite angles of any ^^^^^ 
 rilateral figure be equal, or if its diagonals bisect one ano- 
 
 \ ther, the quadrilateral is a parallelogram. 
 
 k The complements of pamllelogmms V^l^^h are ^^^« 
 ^ diameteV of any parallelogram, are equal to one another. 
 \ If K be the common ung^dar point ofih^l^"^ 
 . ^ grams, and BD the other diameter, the difference ot the 
 parallelograms is equal to twice the triangle BKU. 
 
 . scribed on the sides which pontam the right angle. 
 
 If ABC be a triangle whose angle A i» ^ right angK and 
 . BE CF be drawn, bisecting the opposite sides respec^^ively^ 
 Slew that four times the sum of the squares of Bh and 
 CF is equal to five limos the square ot uc. 
 
 fi Divide a straight line into two parts, so tliat theTCctaii^le 
 *• ^Ztained W^he wholQ and one of the parts shall be equal 
 to the square of the Other part. , ., \^, 
 
 Shew that in Euclid's figure four other lines, beside the 
 
 given ones, are divided in the required manner. ^ 
 Also produce a given straight line to a point such _that 
 
 thftrecffiewntained by the whole U^ 
 : fc^t^fflf ^^al the siiare of the given straight hue. 
 7 Describea square #!l^hich shall be equal to a given rectangle. 
 ^^Iv^i^T^^, and one side of a rectangle which^* 
 equal to the square ; ^d the other side. _ 
 
 'V 
 
;.-"l 
 
 >. 
 
 ^ firs d^fcfti7A„'^rJ°« ~°'' »' "■» •»«'- « 
 
 iwo ci«, e. e" Kd t i^^^" f '»'"«"«<"■ of thd 
 
 equal angle, ore horn^o^,'"'"*^''"'' ■""'«!<»'<'' '" 'ho 
 . P»int ,v4in a Set coSt '""""« "■""»'' ° «"•'" 
 
 .y 
 
 
J 
 
 TtllGONOMfeTBY. 
 
 i. Define accurately the units employed when angles aire exs 
 pressed in degrees, and in circular measure. If A and B 
 . represent the same anijlej expressed in terms of these units; 
 find an equation connecting i4 and 9. 
 
 12. Define the terms « sine," « cosine," "tangent,'' and "se- 
 cant," and trace the changes in sien and magnitude, aS 
 the angle incireases from 135 o to 405 <^ . 
 
 Construct the angle whose tangent is 3— v^"2' 
 
 3. Prove that sin (^A-\-B) =* sin A cos B-f cos A sin J3,and deducid 
 
 a similar^ expression for cos( .4-1- i?.) 
 
 A-\-B a cos A 
 
 If « tan il-fA tan B =. (a-f ft) tan , shew that— — — — 
 
 2 6 cosi^ 
 
 4. If ;a+5-HC = 180* , prove that 
 
 tan il + tan .B 4r tan C == tan A tan B tan C 
 
 If a, /9, y, denote the distances from* the angular points of a 
 triangle to the points of contact of the iniferifoed circllft, 
 shew tliat the radids of the inscribed circle a 
 
 (• 
 
 « f r, V 1 
 
 ) 
 
 a + ^+T 
 
 "5. iPirovi^ that the sij^^s of tjie the angles of a Iriahgte aVft pro^ 
 portional to the opposite sides. 
 Hence dedti^e the expression for the cosine of an angle in 
 terras df its sides. 
 
 D. If ij, ft, and B be given, shew under what circumstances 
 there will be two triangles ^tisfying the condition of the 
 problem. ; ^ 
 
 Prove that the 'circles circumscribing both triangles are equal 
 m inagnitude, and that the distance between the centres is 
 
 _•■'■■■■■;:■:%■■■■ '••^—(fta^ cos 'B — a? ,/; ■ ■■::;•'.■, ■;:■.- ■•"'■■ 
 
 7. Two sides and the included angle of a triangle being givenj 
 shew how to find the remaining angles. 
 
 ■/■. . ■■■ 
 
The ratio of two tidrs of a triangle is 9 : 7, and the included 
 Mgle ii 47 o 2A', find the other angles. 
 
 Hven,Iog2- .3010300 «" , ^, 
 
 £ tan 66* 17' 80" - 10 . 3523942 
 £ tan 15 o 63' « 9.48^1489 ' 
 « dili; l> —4797 » 
 
 8. Standing at the Head Mnster'areaidcnoe, the height of which 
 is 82 (ert above the f^iito I observe the angular elevation of 
 a oFoud to Ikj 75 o , and the angular depression of ita reflec- 
 tion in the Lake to be 30 0| find the height of the clond. 
 
 
 
 PRACtlCAL SURVEYING AND USE OF " 
 INSTRUMENTS. 
 
 l.Descrilje the Theodolite and Gunter's Chain. 
 
 2. Find by the Theodolite and Chain, the distance of the Sta- 
 
 tion from the Head Master's bqat house j also the distance 
 of the Station from Tollendal. 
 
 3. From the gate leadinj; into the Head Master's grounds ob- 
 
 serve the angle pf elevation of the fiagstufTon the summit 
 ot the hill 5 go 60 feet nearer, and again observe the anirle 
 of elevation . Given the hpight of Iheflagstaff to he 60 feet, 
 find the inclination of the hill to the horizon, 
 
 4. Find the area of the School grounds, , 
 
 :/ .: 
 
 >r 
 
 
•''M( 
 
 I- 
 
 f»- • 
 
 CHEMISTRY.' 
 
 1. What is meant by^ ohefnical element 1 ClaaaifV theele* 
 
 meats 08 solids, liquids and gases. 
 
 2. What is the natufe of chemical affinity t Give an example 
 
 of double decomposition^ 
 
 1* ' . ■ ■ ' 
 8. Explain the terms, protoxide, peroxide, binoxide ftnd dedtoD> 
 
 iae, with examples. 
 
 4. The properties of an acid, a base and a sal^ Distinguish 
 between oxacids and hydracids, oxysalts and trus salts. 
 
 U. Give the composilion of the atmosphere by weight and by 
 measure. Mention somo of its properties and uses. 
 
 6. How is the specific gravity of solids, liquids and gases oscer- 
 
 tainedl A metal weighs oz. 64.5 in air, and oz. 61.5 in 
 -water, required its specific gravity. What is the metal 1 
 
 7. Give the preparation and properties of asygen, chlorine, 
 
 phosphorous. 
 
 8. Give the composition of marble, clay, alum, starch acolio, 
 ' acid, chloroform, gunpowder and olifiant gas. 
 
 9. What are ^-CIO'. CaF,AsO». Hs,CaOHa 
 
 10 The chemical changes that occur in the processes of bread 
 and soap making andtthi? slaking of lime. 
 
 \ 
 
 '•/ 
 
 f i\ 
 
 t - I 
 
 
 
 
 
 ^ 1 
 
 ij 
 
 ■tegsaia^ia 
 

 ■-1»--^^- 
 
 •, *v; 
 
 /*! 
 
 X. 
 
 itAflTURAt, 
 
 *'S • 
 
 ( . 
 
 TORY, 
 
 ■.I 
 
 I 
 
 ' |. State generally the uaea of the diflbfent pnrts of a pFant. 
 
 B. The QM and position of the Albumeii. The variety and rK>i 
 lition of bttdi. I - * 
 
 p. Name some of the diflhrent fornoa Under which itema and 
 bvanohea oocur. 
 
 4. Give the parta of a flower. What are double iiowen 1 The 
 mof phology of the reoeptaoie^ | 
 
 (J. The difftrent methods of propagating plants, and the prinoi- 
 plea involved in the*. 
 
 . 6. Give a brief outline of botanical claasificatioD. 
 
 7. The Nature of the anjmd tiasuea. 
 
 8. Com^ the nervoof lytteoii of the different «ub-kingdproi, 
 
 9. Give the atruotnre of aimple and compound eyes. 
 
 , 10. Give some es|im|det.of metamorphoses, and of alternate 
 .■•../ generatioD; . ; f-'- ■ ■*•■-■■ 
 '/■ * 1' '.•''■'■ ' ' 
 
 11. The varietfisfe in the ibruoture of the mcdar teeth. 
 
 \2. la what class and order would you place the following:— 
 Sloth, horse, groand-hog, whale, salmon, flamingo, whip- 
 poor-wUl, moacLu^to, oystot, tape-worm. -' 
 
 '*• 
 

 ••tfi/':. 
 
 / 
 
 TOBV. 
 
 
 \ 
 
 enl purti of a plant. 
 |. Tl^e variety and po^ 
 
 under which items and 
 
 e double flpwerat Tho 
 
 ; plants, and the prinoi- 
 
 liflcation. 
 
 
 
 ^1 
 
 ■ ■: •!',"■■ -V'*' ■ 
 
 • - 
 
 ... V 
 
 ' 1 * 
 
 
 
 . . ' ■ V 
 
 
 
 /■■■■ i 
 
 ■ ■ ■ , "" " "^ . '*♦■* 
 
 ■*■■ . '., '.*" ' 
 
 '"'\r,t^ 
 
 different sub-kingdoms, 
 
 pound eyes. 
 
 hoses, and of alternate 
 
 tiKdar teeth/ 
 
 place the following ^-^ 
 imon, flamingo, whip- 
 rm. 
 
 ■.■■" >.,' ;■ ''W- ■ ■■- - .' 
 
 t, '■•'.'.' ' ■ .•.-■'■■ 
 
 
 ;.;■:. :;:-:;V^/^: 
 
 
 
 •./■". j^^l 
 
 
 ' / '^z- '^^^1 
 
>' !. 
 
 •1 
 
 f^ 
 
 i 
 
 ,j$^ 
 
 -'^'il 
 
m- 
 
 m--' 
 
 i^"^ 
 
 <»f^* 
 
 ^^r*"*" 
 
 :.-■ m- . 
 
apBSEK:- 
 
 ..:) 
 
 . t^