libfart 


PEO VINCE  OF  ONTAEIO 


AND 


Province  of  Ontario. 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION  June,  26th— 29th,  1876. 


Examiners — The  High  School  Inspectors  and  Six  Sub-Examiners. 

(Jiindidates  are  required  to  observe  the  regulations  strictly. 

No.  1. 

NATURAL  PHILOSOPHY. 

1.  State  the  principle  of  the  Parallelogram  of  Forces.  Explain  the  meaning  of  the  terms  employed  in  your 

statements.  Shew  that  if  four  forces  acting  on  a  point  be  represented  by  the  sides  of  a  rectangle  taken 
in  order,  they  will  be  in  equilibrium. 

2.  Apply  the  Triangle  of  Forces  to  find  the  least  horizontal  force  necessary  to  draw  a  wheel  four  feet  in 

diameter  and  weighing  10  cwt.  over  an  obstacle  the  height  of  which  is  six  inches,  situated  on  the  hoi'i- 
-  zontal  plane  on  which  the  wheel  rests. 

3.  Define  the  moment  of  a  force  with  respect  to  a  given  point. 

A  uniform  beam  A  B,  whose  weight  is  100  lbs.  and  length  50  feet,  rests  with  one  end  (A)  on  a 
horizontal  plane  A  C,  and  the  other  end  against  a  vertical  wall  C  B.  If  a  string  C  A,  equal  in  length 
to  C  B,  prevents  the  beam  from  sliding,  find  the  tension  of  the  .string. 

4.  In  the  system  of  pulleys  in  which  each  pulley  hangs  by  a  separate  string,  a  platform  is  suspended  from  the 

lowest  block  ;  what  force  must  a  man  who  weighs  180  pounds,  standing  on  the  platform,  exert  to  sustain 
himself  when  there  are  three  movable  pulleys. 

5.  State  the  principle  of  virtual  velocities,  and  apply  it  to  find  the  relation  between  the  power  and  the  weight  in 

the  inclined  plane. 

G.  A  vessel  is  closed  at  the  top  ;  through  the  lid  goes  a  pipe  which  reaches  to  the  height  of  50  feet ;  the  lid 
has  an  area  of  49  square  inches,  and  the  pipe  a  cross  sertion  of  1  square  inch  :  suppose  the  vessel  and 
pipe  to  be  full  of  watei-,  what  is  the  foit;e  tending  to  open  the  lid  ? 

7.  Define  clearly  what  is  meant  by  specific  gravity.  Is  there  any  difference  in  specific  gravity  between  4  lbs. 

of  iron  and  2  lbs.  of  the  same  metal  1 

A  body  whose  specific  gravity  is  3‘5  weighs  4  lbs.  in  water,  what  is  its  real  weight! 

8.  Sketch  the  common  pump,  describing  its  action  and  stating  the  limitation  to  which  this  is  subject. 

If  the  diameter  of  the  piston  is  6  inches,  and  the  height  of  the  spout  above  the  well  25  feet,  what 
foi’ce  must  act  along  the  piston-rod  to  work  the  pump  1 

9.  Describe  the  common  barometer  and  point  out  the  principle  on  which  its  action  is  based. 

If  the  radii  of  the  cistern  and  tube  be  3  and  1,  determine  the  true  variation  corresponding  to  an 
apparent  rise  or  fall  of  one  inch. 


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Province  ol  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION  June,  26th-29th,  1876. 


Examiners— Tyly.  High  School  Inspectors  and  Six  Sub-Examiners. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  il. 

CHEMISTRY. 

1.  How  would  you  prepare  Hydrogen  ^  State  fully  by  what  means  you  would  show  its  most  important 

properties. 

2.  Describe  fully  the  modes  of  decom[)osiug  water,  which  you  have  seen.  You  are  asked  to  say  whether  a  given 

specimen  of  water  is  hard  or  soft,  how  will  you  determine  the  fact  1  If  the  water  is  hard,  describe  (with 
reasons)  all  the  means  by  wliich  you  can  make  it  soft. 

3.  State  all  the  forms  in  which  Carbon  is  found  in  natin-e.  By  what  experiments  would  you  show  its  important 

properties.  You  are  given  a  black  substance  like  coal,  and  asked  to  say  whether  it  is  carbon  or  not ;  how 
will  you  determine  this  1 

4.  How  would  you  obtain  Carbonic  Acid  from  chalk — represent  the  reaction  by  an  equation.  A  current  of 

atinospheric  air  passes  up  through  a  bright  coal  fire,  state  all  the  changes  which  it  undergoes  till  it  enters 
the  atmosphere  again. 

5.  How  is  Chlorine  prepared  1  State  the  experiments  by  which  you  would  show  its  properties.  On  what  does 

its  bleaching  power  depend  1  You  are  given  a  piece  of  calico,  and  requested  to  bleach  io— state  fully  how 
you  would  proceed. 

6.  When  an  ordinary  friction  match  is  lighted,  what  gases  are  given  off?  Describe  the  properties  of  any  of 

them. 

7.  State  what  substances  are  represented  by  the  following  formulas,  and  mention  any  expeiimeiits  in  which  you 

have  seen  any  of  them  occur  : 

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l^rovince  of  Ontario,. 


C  O  L  L  E  G  I  A  ^1'  E  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  JUNE  26th— 29th,  1876. 


Examiners. — The  High  School  Inspectors,  and  Six  Sup.-Examiners. 

Candulates  ai-e  required  to  observe  the  regulations  strictly. 

No.  3. 

LATIN. 

A.  CyESAR. 

[. —  1.  What  was  Ooesar’s  full  name,  and  what  did  each  part  of  that  name  denote? 

2.  Write  a  short  account  of  Caesar,  and  mention  his  most  famous  Roman  contemporaries. 

3.  Translate  : 

Concilium  dinhttit,  Liscum  retinet;  quaerit  ex  solo  ea  quae  in  conventu  dixerat.  Dicit  liberius  atque 
audacius.  Eadem  secreto  ab  aliis  quserit ;  reperit  esse  vera.  Ipsum  esse  Cumnorigem,  summa  audacia, 
magna  apud  plebem  propter  liberalitatem  gratia,  cupidum  rerum  novarum  ;  complures  annos  ])ortoria, 
reliquaque  omnia  .JUduorum  vectigalia,  parvo  [)retio  redempta  habere,  propterea  quod  illo  licente  contra 
licere  audeat  nemo. 

a.  Parse  solo,  redempta,  and  licente. 

h.  Conjugate  reperit  and  audeat  ;  and  give  the  other  degrees  of  coin[)arison  of  liberius,  audacius,  parvo. 

c.  Explain  the  derivation  of  secreto,  vectigalia,  and  nemo. 

d.  Decline  eadem,  aliis,  nemo. 

e.  Sketch  a  rough  ma]>  of  Craul,  showing  its  divisions  as  given  by  Cjesar,  and  its  chief  tribes. 

1 1. — Translate  : 

Id  ne  accideret,  magnopere  sibi  prsecavendum  Ciesar  existimabat ;  namque  omnium  rerum  qum  ad 
bellum  usui  erant,  summa  erat  in  eo  oppido  facultas  ;  idque  natura  loci  sic  muniebatui’,  ut  magnani  ad 
ducenduni  bellum  daret  facultatem,  propterea  quod  flumen  Dubis,  ut  circino  circumductum,  ])8ene  totum 
oppidum  cingit ;  reliquum  spatium,  quod  est  non  amplius  pedum  sexcentorum,  qua  flumen  in termittit, 
mens  continet  magna  altitudine,  ita  ut  radices  ej us  mentis  ex  utraque  parte  ripse  fluminis  contingant. 
Hunc  mums  circunidatus  arcem  efficit  et  cum  oppido  conjungit. 

a.  “  Oppidum” — “  flumen” — Give  the  modern  names. 

b. .  Mark  the  quantity  of  the  penult,  in  ‘  accideret,’  ‘  cii'cino,’  ‘  radices,’  ‘  utraque,’  ‘  circumdatus.’ 

c.  Explain  the  construction  of  sibi,  tisui,  and  pedum. 

d.  “  Id  ne  accideret.” — Explain  what  is  meant. 

HI. — Translate  into  Latin  ;  (1)  The  Germans  could  not  be  restrained,  the  day  before,  from  hurling  darts  upon 
our  (men). 

(2)  Ariovistus  demanded  that  Caesar  should  not  bring  any  foot-soldier  to  the  conference  ;  “he  was  afraid  ” 

(he  said)  “that  he  should  be  entrapped  by  him,  by  an  ambuscade.” 

(3)  They  returned  on  the  20th  of  March. 

(4)  P.  Clonsidius  was  regarde<I  as  the  most  skilful  in  military  matters. 

(5)  Caesar  sends  forward  cavalry  to  see  in  what  direction  the  enemy  are  marching. 

[Over.] 


B.  Virgil. 

I.  —  1,  (^a)  What  is  the  subject  of  the  ..^iieid  ?  (i)  To  what  class  of  poems  does  it  belong  ?  (c)  Mention  any 

ancient  or  modern  poems  of  this  class,  (d)  When  did  Virgil  live,  and  who  were  his  chief  patrons  and 
friends  1 

II.  — “  Et  si  fata  deum,  si  mens  non  Iseva  fuisSet, 

Impulerat  ferro  Argolicas  fcedare  latebras.^’ 

(a)  Translate  these  lines,  and  mention  anything  peculiar  in  their  construction. 

[b)  What  is  the  proper  mean-ing  of  Iceva  ?  What  is  its  meaning  here?  and  how  did  it  come  to  have 

that  meaning? 

I II.  — Translate  : 

(ft)  Nec  requievit  enim,  donee,  Calchante  ministro,  — 

Sed  quid  ego  haec  autem  nequidquam  ingrata  I'cvolvo  ? 

Quidve  moror,  si  omnes  uno  ordine  habetis  Achivos, 

Idque  audire  sat  est  ?  Jamdudum  sumite  poenas, 

Hoc  Ithacus  velit,  et  inagno  mercentur  Atridse. 

{b)  Turn  vero  tremefacta  novus  per  pectora  cunctis 
Insinuat  pavor  ]  et  scelus  expendisse  merentem 
Laocoonta  ferunt,  sacrum  qui  cuspide  robur 
Laeserit,  et  tergo  sceleratam  intorserit  hastam. 

(1)  Parse  requievit,  velit,  mercentur,  expendisse. 

(2)  Laeserit — Why  in  the  subjunctive  mood  ? 

(3)  Decline  pectora,  robur. 

IV.  — Explain  the  meaning  of  the  following  : 

(1)  “  Dives  opum  (2)  “  su mere  poenas  (3)  “  Larissaeus  Achilles.” 

V.  — Scan  these  verses  : 

{a)  Neu  populum  antiqua  sub  religione  tueri. 

(b)  Ultro  Asiam  magno  Pelopea  ad  moenia  bello. 

(c)  -^diticant  sectaque  intexunt  abiete  costas.  , 

Mark  all  the  quantities  in  the  last  verse,  and  give  the  rule  for  such  of  them  as  are  not  deter¬ 
mined  by  position. 

VI.  — (1)  Make  a  list  of  Latin  woi'ds  which  have  a  different  meaning  in  the  singular  and  plural. 

(2)  Write  down  the  compounds  of  claudo,  habeo,  and  rego,  with  cum,  de,  and  ex. 


Province  of  Ontario. 


(^OLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th— 29th,  1876. 


Examiners. — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  4. 

F  R  E  N  C  H  . 

I.  Voltaire,  Charles  XII,  Liv.  I. 

1.  Translate  : 

(r)  Lp  jeune  selictar  I’eleva  a  ce  poste  glissante,  en  attendant  qu’il  pM  se  placer  lui-meme,  et  Jussuf,  sa 
creature,  n’eut  d’auti'e  eniploi  que  d’apposer  les  sceaux  de  I’enipire  aux  volontes  du  favori.  La 
politique  de  la  cour  ottomane  toute  chang6e  des  les  premiers  jours  de  ce  vizirat. 

{h)  Son  extieme  g6n4rosite  et  le  peu  de  cas  qu’il  faisait  de  I’argent  I’empechaient  de  sentir  qu’il  y  avait 
d’avillissement  dans  cette  proposition  ;  il  ne  la  faisait  que  pour  s’attirer  un  refus ;  et  pour  avoir 
un  nouveau  pretexte  de  ne  point  partir  ;  mais  c’4tait  etre  reduit  a  d’4tranges  extremites  que 
d ’avoir  besoin  de  pareils  artifices. 

(c)  Les  chapelains  du  roi  se  mirent  aussi  a  genoux  devant  lui,  le  conjurant  de  ne  pas  exposer  a  un 
massacre  certain  les  malheureux  restes  de  Pultava,  et  surtout  sa  personne  sacree ;  I’assurant  de 
plus  que  cette  resistance  4tait  injuste,  qu’il  violait  les  droits  de  I’hospitalit^  en  s’opiniatrant  a 
r4sister  par  force  chez  des  strangers  qui  I’avaient  si  long  temps  et  si  g4n4reusement  secoui'u. 

2.  Parse  all  the  verbs  in  italics  in  the  above  extracts,  giving  the  principal  parts  of  each. 

3.  'Explain  the  meaning  of  ‘  les  4chelles  du  levant,’  ‘  les  queues  de  cheval  arborees,’  ‘  la  porte  qui  donnait  dans 

son  appartement  a  coucher.’ 

4.  Render  into  French  :  “less  than  six  months;”  “  much  more  than  I  “there  did  not  escape  him  a  word  of 

impatience.” 

5.  What  is  the  difference  between  en  and  dans,  devant  and  avant,  pas  and  point  ?  When  may  pas  and  point 

be  suppressed  as  jiarts  of  the  negative  ? 

G.  {a)  Toute  ehang'ee. — Give  rules  for  the  adverbial  use  of  tout,  with  examples. 

(h)  (hnjurant.  Does  the  present  participle  ever  agree  with  its  noun  1 

7.  Le.s  malheureux  restes  de  Pultava.  Give  a  full  explanation  of  the  event  here  referred  to. 

8.  Sa  personne  sacree. — Why  called  sacrie  ?  Give  illu.strations  of  this  expression.  When  is  personne  masculine  '? 

9.  Say  briefiy  what  you  know  of  the  author  of  this  woi'k.  [Over.] 


II.  Guammatical  Questions. 

1.  Write  down  the  plural  of  chef  d’muvre,  hijov;  trou,  aieul,  ceil,  solo,  and  contre-dtmse  ;  also  the  feminine  of  dieu, 

empere^ir,  roi,  cJumteur,  oncle,  roux,  vieux,  protecteur. 

2.  What  adverbs  are  formed  from  the  adjectives  nouveau,  fou,  lent,  constant  ? 

3.  When  do  cent  and  vingt  take  the  mark  of  the  plural  1  Give  examples. 

4.  Write  the  present  and  past  participles  ;  also  the  third  person  singular  and  the  first  person  plural  present 

subjunctive  of  alter,  venir,  couvrir,  vaincre,  mourir,  mouvoir,  vouloir,  and  savoir. 

5.  Write  the  imjierative  of  se  ta.ire,  s'en  alter,  and  dire. 

6.  Exjdain  the  rule  for  the  concord  of  the  past  j)articiple  when  preceded  by  avoir  and  Ure.  Give  examples. 

7.  Express  in  French  (a)  I  doubt  not  that  he  will  come,  {b)  It  would  be  just  for  you  to  do  it.  (c)  He  is  the 

most  learned  man  I  know,  {d)  Go  for  some  one  who  can  help  us.  (e)  Think  of  me.  [f)  AYhat  do  yon 
think  of  him  ? 

III.  Elementary  Reader. 

1.  Ti’anslate  :  La  cigale,  a)'ant  chante 

Tout  I’etd, 

Se  trouva  fort  depourvu 
Quand  la  bise  fut  venue  ; 

Pas  un  seul  petit  morceau 
De  mouche  on  de  vermisseau. 

Elle  alia  crier  famine 
Chez  la  foiu'ini  sa  voisine 
La  priant  de  lui  prefer 
Quelque  grain  pour  subsister 
Jusfpi’k  la  saison  nouvelle. 

II  vous  paierai,  lui  dit-elle, 

Avant  I’aout,  foi  d’animal, 

Interet  et  principal. 

La  fourmi  n’est  pas  pretense  ; 

G’est  Ik  son  moindre  defaut. 

2.  Translate  into  French  : 

(a)  When  the  merchant  heard  that,  he  took  a  large  plank,  and  tied  his  wife  and  his  two  children  to  it. 
ib)  You  have  dropped  your  handkerchief,  Miss  :  allow  me  to  pick  it  up  for  you. 

(c)  My  soup  is  too  cold ;  bring  me  some  warmer,  if  }  on  please,  James. 


Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 

INTERMEDIATE  EXAMINATION,  JUNE  26th— 29th,  1876. 


Examiners. — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidate.s  are  required  to  observe  tlie  regulations  strictly. 

No.  5. 

GERMAN. 

Translate  into  English  : 

ftcr  tfitct  ISO  spat  dutch  llarht  und  Wind? 

(fs  ist  dft  mit  seiwcm  ^ind ; 
i^x  hat  dew  ^wahcn  wohl  iu  dcm  gttw, 

(f  t  fa§t  ihn  oichct,  ct  halt  th»  «?atm. 

,,  pcin  <^ohn,  was  bitgst  du  so  hanp  dct«  (iksicht  ? ,, 

,,  ^ifhst,  ^'^atot,  du  dctt  ^tlhouio  aicht  ? 

©tlcahoniji  mit  ^to«^  und  ^chwcift> 

,,  Pcin  ^oha,  cs  ist  tin  ^chclsttcif  „ 

|lu  licbcs  ^iad,  homm,  flch'  wit  wit ! 

6at  schonc  ^picte  spiff  ich  wit  dit, 

Panch’  butttc  ^luwcn  siud  an  dew  <^ttand, 

Pcinc  puttet  hat  wanrh  puldcn  ^ewand.  Gothe. 

Ilfintich  wat  tin  funfschojahtipet  fuwptinp  volt  putet  Itotsa^c,  die  ct  scltcu  hiclt,  und  voll  ^chlct,  die 
ct  fiplic't  bctcuctc ;  ct  hattc  scinen  ^'atet  und  scinen  l^chtct  innip  ticb,  abet  seine  ^letpnugunpen  oft  stathet ; 
et  wollte  petit  das  X ebe  fut  beide  aufopfernt  abet  uicht  scinen  ^tillen ;  und  seine  aufbtennende  ^eele  enttip 
denen  die  er  liebte  uicht  wehc  ®htanen  als  ihw  seibet,  ^o  ittte  schwerglich  sein  ^ebm  swisehen  §eteuen 
und  ^undipen  uwhet,  und  suletst  nahw  sein  lanpet  Wechsel  gwisehen  puten  dBntsehlussen  und  vetdetbliehen 
J^Chlttitten  Seinen  ^teunden  und  SOpat  ihnt  die  lioffnunp  det  §eSSetunp. — Jean  Paul  Friedrich  Richter. 

1.  Decline  in  both  numbers  with  the  definite  article  ^JatCt,  i^iud,  ^nabC,  ^^Ohn,  and  ^tOttf. 

2.  Decline  in  both  numbers  Seine  aufbtennend?  ^i’etlc,  det  lanpe  Weehsef  sehones  t^piel. 

3.  Give  the  present  infinitive,  the  first  person  singular  imperfect  indicative,  and  the  past  participle  of  the  verbs 

occurring  in  the  extract  from  Go  the. 


["Over.] 


4.  Conjugate  the  present  indicative,  the  imperfect  subjunctive,  and  the  imperative  of  UChlttCll,  CttfrCl^rn  iind 

uufopfcrn. 

h.  Wais  hirgisit  tlu.  For  what  is  ivaiSi  used  here  1 

6.  ^0  itttc  0tHttKr2lirh  3^)Clbfn.  Why  is  the  verb  placed  before  its  subject  in  this  sentence. 

7.  Make  a  list  of  the  terminations  which  indicate  that  ihe  nouns  which  possess  them  are  feminine. 

Translate  into  German  :  A 

I  have  lost  my  book. 

He  who  is  contented  is  rich. 

My  father  is  called  Henry. 

What  day  of  the  month  is  it  1 

These  trees  are  higher  than  ours. 

I  would  be  happier  if  I  had  books  and  friends. 

[Note  that  the  German  words  for  the  followin<<  exercise  are  given  below  in  the  or<ler  in  which  they  are  to  be  placed.] 

B. 

The  Cow,  the  Goat,  the  Sheep,  and  the  Lion. 

A  cow,  a  goat,  and  a  patient  sheej)  went  a-hunting  in  company  with  the  lion.  At  last  they  caught  a  very 
lai-ge  deei'.  Then  the  lion  divided  it,  and  said  : — “  The  first  part  I  take,  because  I  am  the  Lion  ;  the  second  you 
must  awaixl  to  me  on  account  of  my  valour  ;  the  third  must  fall  to  my  lot,  because  I  am  stronger  than  you  ;  and 
woe  to  him  who  will  lay  his  hands  on  the  fourth  !  ” 

(^itt  fiuh,  fin  Siege  untl  ein  geduUig  ^ehaf  gehen  in  ^esiellsiehaft  mit  det  X0nre  auf  dee  .^agd. 
Itahen  endlieh  ein  iselie  gea§  lliesieh  fangen.  |ia  tHeilen  dee  l^oure  nnd  jspeeehen :  3ier  eeisit  ©heil  neHmen  ieh 
u'eil  ieh  dee  |i0u;e  jaegn ;  dee  sureite,  musi^en  du  ieh  wegen  mein  ®apfeeheit  gueehennen ;  dee  deitte  mu,ti,$en  ieh 
gufallen,  meit  ieh  .staeh  jseyn  at, si  du ;  und  teehe  dee  dee  .sieh  an  dee  vieete  veegeeifen  u-eeden  l  ” 

C. 

The  Ass  and  the  Wolf. 

An  ass  met  a  hungry  wolf.  “  Have  compassion  on  me,”  said  the  trembling  ass  ;  I  am  a  poor  sick  animal  ; 
only  see,  what  a  thorn  I  have  run  into  my  foot  !  ” 


kl 


Provinoe  of'  Ontario. 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  JUNE  26th— 29th,  1876. 


Examiners. — The  High  School  Inspectoes,  and  Six  Sub-Examinees. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  6. 

ALGEBRA. 

1 .  State  the  rules  for  the  addition  and  substi’action  of  Algebraic  quantities.  Express  in  the  simplest  form 

[b  +  c— a)  X  +  {era  -  b)y  +  {a+h  —  c)z 
{c  +  a-h)x+  {a+h-c)y  +{h  +  c-a)z 
{a+h  —  c)x+  {h  +  c—a)y  ^{c  +  a—l^z. 

2.  State  and  prove  the  Index  Laws.  Assuming  these  to  be  general,  interpret  x~™. 

Find  the  products  in  the  following  cases  : 

(1)  {x^  r^x'^y +\2xy^ +9>y^)  {x^  -  (Sx^y +\‘lxy‘^  - '^y^). 

(2)  {a  +  h  +  c)  (h  +  c-a)  (c  +  a-h)  (a  +  h  —  c). 

3.  Prove  the  rule  of  signs  in  Division. 

Divide  :  [Apply  Elorner’s  method  to  (Ij] 

(1)  x”  —  22x^  +  60x‘^  — +  12x+  4  by  x“  +  6a:+  1. 

(2)  x^  +  9  +  81x  by  x‘'^-3  +  9x_  (3)  x'’-l  by  x"-l. 

4.  Define  the  highest  Common  Measure  of  two  or  more  quantities  ;  and  prove  the  principle  on  which  dej)ends 

the  rule  for  finding  the  H.  C.  M. 

Find  the  H.  C.  M.  of 
3x®  -L  4y2  _  33. 4  fj^nd  2x‘*  —  7x‘'^  +  5. 


[See  Over] 


(2) 


’20x^  +  -  1 

25x'^  +  5x^  -  X- 


5.  Simplify  tlie  folio wiDg  expressious 


(1) 


ixy 


x'-^  -y'^  -0^  +  2yz. 

G.  Find  tlie  square  roots  of 

4  1 

(1)  4x^'“ — 

3  9 


b'^  a  c  b 

(2) - 1 - 1 - 2 —  2—  +  2—. 

b^  c  b  a 


7,  Distinguisli  between  an  algebraic  equation  and  an  identity.  Solve 

(1)  ^jT^2x+ yi^x=^. 

x  —  ay  _ax-\-y  x-2  x+2  x+S 

~b - - ^  .i+2+^“-^ 


8.  A  person  bought  a  certain  number  of  oxen  for  §320.  If  he  had  been  able  to  purchase  four  more  for  the  same 

sum,  each  would  have  cost  him  $4  less.  Find  the  number  of  oxen.  Explain  the  negative  result. 

9.  (1)  If  ?='  show  that 

^  '  b  d  -\--2cd+-U"  d{c-M)  0 

(2)  Find  the  i-emainder  where  x^  —  nx'^ -\-'tix  —  r  is  divided  by  x  —  c. 

(3)  Find  the  value  of  x”  —  200a:‘’-|- 198, x‘‘^4"200x^  —  197a:”  —  397a;  when  x=199. 


10.  Three  towns,  A,  B,  C,  are  at  the  angles  of  a  triangle.  From  A  to  C,  through  B  the  distance  is  82  miles; 

from  B  to  A  through  C,  is  97  miles  ;  and  from  C  to  B  through  A,  is  89  miles.  Find  the  direct  distances 
through  the  towns. 


l^rovinoe  of^  Ontario 


COLLEGIATE  INSTITUTES  AND 


INTERMEDIATE  EXAMINATION,  JUNE 


HIGH  SCHOOLS. 

26th— 29th,  1876. 


Examiners. — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidates  are  required  bo  observe  the  regulations  sti-ictly. 

No.  7. 

BOOK-KEEPING. 

1.  Explain  the  difference  between  Single  and  Double  Entry;  and  mention  the  chief  advantages  possessed  by  the 

latter. 

2.  In  what  different  senses  is  the  term  “  Stock  ”  employed  in  Book-kee])ing  1 

3.  1  have  dealings  with  A  and  B.  I  pay  B  a  promissory  note  of  A’s  on  account,  and  balance  B’s  account  with 

cash.  Give  my  own  and  B’s  Journal  entries  of  this  transaction. 

4.  Explain  the  terms  “  Trial  Balance,”  “  Balance  Sheet,”  “  Profit  and  Loss  Acct.” 

5  Write  a  form  of  “  A  Foreign  Bill  of  Exchange,”  “An  Acceptance,”  “  An  Account  Current.” 

6.  Bo’t  of  Blundell,  Spence  &  Co.  goods  amounting  to  $4, .500.  Gave  in  payment,  cash,  .^1,500;  J.  Miller’s  note 

for  $1,000,  due  in  3  mo’s,  less  discount  $20;  my  own  note  for  .$1,000  ;  the  balance  remains  on  account. 
Give  my  own,  and  Blundell,  Spence  &  Co’s  Journal  entries  of  this  transaction. 

7.  T  consign  to  J.  H.  &  Co.,  Montreal,  a  cargo  of  flour,  which  is  sold  for  $18,000.  The  charges,  commission, 

&c.,  amount  to  $172.  I  receive  in  ])ayment  a  sight  draft  on  the  Bank  of  Montreal,  for  $10,000,  and  draw 
on  J.  H.  &  Co.,  at  30  days,  for  the  balance  I  discount  this  draft  in  the  Bank  of  Commerce,  and  place  the 
proceeds  (the  discount  being  .$66.66,)  to  my  credit  in  that  Bank.  What  are  my  Journal  entries  of  this 
transaction  1 

8.  What  Day-Book  entries  would  be  journalized  as  follows  : 


(rt)  Bills  Payable,  Dr.  to  Clash, .  $150 

(/>)  Sundries,  Dr.  to  J.  Wilson, .  .$3000 

Merchandize, . . .  $2000 

Ca.sh,,  . $1000 


9.  How  are  the  following  accounts  rc'Spectively  balance  1  :  Intm-est,  Cash,  Merchandize,  Stock,  Expenses? 


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Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th— 29th,  1876. 


Examiners — The  High  School  Inspectors  and  Six  Sub-Examiners. 
Candidates  are  required  to  observe  the  regulations  strictly. 

No.  8. 

ENGLISH  GRAMMAR  AND  ETYMOLOGY. 


“  The  signet-ring  young  Lewis  took, 

With  deep  respect  and  altered  look  ; 

And  said  : — ‘  This  ring  our  duties  own  ; 

And  pardon,  if  to  worth  unknown. 

In  semblance  mean  obscurely  veiled,  5 

Lady,  in  aught  iny  folly  failed. 

Soon  as  the  day  flings  wide  his  gates. 

The  King  shall  know  what  suitor  waits. 

Please  you,  meanwhile,  in  fitting  bower 

Repose  you  till  his  waking  hour  ;  10 

Female  attendance  shall  obey 
Your  best,  for  service  or  array. 

Permit  I  marshal  you  the  way.’ 

But,  ere  she  followed,  with  the  grace 

And  open  bounty  of  her  race,  15 

►She  bade  her  slender  purse  be  shared 
Among  the  soldiers  of  the  guard.” 

The  Lady  of  the  Lake.  Canto  VI. 

1.  Divide  vv.  9 — 17  into  propositions,  and  fully  analyse  them. 


Parse  ‘  pardon,’  ‘  to,’  and  ‘  unknown,’  1.  4 ; 
13  ;  ‘with,’  1.  14  ;  ‘purse,’  1.  16. 


‘  soon,’ 


as,’  and  ‘  wide,’  1.  7  ;  ‘you,’  1.  10  ;  ‘  for,’  1.  12  ;  ‘  you,’  1. 


3. 


Give  the  derivation  of  ‘  signet,’  ‘  res])ect,’  •  alter,’  ‘  duty,’  ‘semblance,’  ‘  lady,’ 
‘marshal,’  ‘grace,’  ‘bounty,’  ‘service.’ 


aught,’  ‘  folly,’  ‘  repose,’  ‘  obey. 


4,  Explain  the  meaning  of  line  3,  of  ‘  signet,’  and  of  ‘  liest.’ 

5.  The  syllables  ei,  re,  he,  per,  tend,  ance,  occur  in  many  English  wmrds.  State  the  meaning  and  explain  the 

origin  of  each. 


G.  Render  the  passage  in  prose. 

7.  Give  an  account  of  the  different  uses  of  ‘it.’ 


8.  On  what  basis  are  verbs  classified  into  strong  and  weak  1  State  which  of  the  verbs  in  the  passage  at  tlie  head 
of  this  paper  are  strong. 


.t  'I'luiriO  lo  ec>xifvo‘iSt 


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41)..  ,1  .J  — n  ^dl  ■•■/ i'h-.-t-t  O'*  Jr*HMj>*^  l  **.)••** a- -.'J 

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;  tiort  yai.Iii'  ’(ii.  Lit 

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Provinoe  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th-29th,  1876. 


Examiners — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidates  ai’e  required  to  observe  the  regulations  strictly. 

No.  9. 

DICTATION. 

“  In  the  present  edition  of  this  work  the  Editor  has  endeavoured  so  to  arrange  the  various  sections  of  the  science, 
as  to  exhibit  to  the  inquiring  reader  the  various  movements  and  physical  peculiarities  of  the  different  mem¬ 
bers  of  the  solar  system  without  embarrassing  his  mind  with  mathematical  symbols,  for  though  symbolical 
explanations  may  seem  to  the  advanced  student  to  be  a  necessary  adjunct  for  the  proper  elucidation  of  the 
different  problems,  yet  it  not  unfrequently  happens  that  the  reader,  with  less  mathematical  ])roficiency 
would  altogether  fail  in  the  study  of  this  science,  were  it  not  for  the  assistance  afforded  by  popular  and 
elementary  works  written  in  a  language  comprehended  by  all.  To  the  student  of  the  higher  or  mathemat¬ 
ical  branches  of  astronomy,  this  work,  however,  will  also  be  found  interesting  and  instructive,  as  he  will 
find  information  of  the  most  valuable  kind  in  it,  for  much  of  which  he  may  look  in  vain  in  works  of 
higher  pretensions.” — Preface  to  Lardner  and  Dunkin’ s  Handbook  of  Astronomy. 


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Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th-29th,  1876. 


Examiners — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  10. 

ARITHMETIC. 


1.  Simplify  ^(31+ 1  !-)£+  H  "  i  of 


1 

10 


of  3i+^ 


X  '95  of  5s.  + 


8;  4 
4)12 


cl. 


2.  A  and  B  can  do  a  piece  of  work  in  3|  days,  A  and  C  in  54  days,  and  B  and  C  in  54  days.  If  $15  be  paid 
for  the  work,  what  wages  does  each  man  earn  per  day  1 


3.  A  person  buys  a  lot  of  land  at  $120  an  acre,  and  by  selling  a  poi-tion  in  allotments  he  makes  90%  on  all  he 

sells,  so  that  after  reserving  20  acres,  he  finds  that  he  has  realized  on  the  remainder  $840  more  than  the 
entire  lot  cost  him.  How  many  acres  did  he  buy  1 

4.  A  Toronto  Merchant  owes  £900  in  Liverpool,  G.  B.  He  determines  to  remit  to  Paris  at  5  francs  50  centimes 

per  $1  ;  thence  to  Hamburg  at  185  francs  per  90  marcs  ;  thence  to  Amsterdam  at  18|  stivers  per  marc  ; 
thence  to  Liverpool  at  220  stivers  per  £1  sterling  :  how  much  must  he  remit  to  discharge  his  debt  in 
Liverpool,  and  how  much  does  he  gain  over  direct  exchange  at  9|^%  premium  1 

5.  A  man  invests  $19,450  in  Bank  of  Montreal  Stock  at  194,  and  $19,850  in  Bank  of  Toronto  Stock  at  198, 

paying  his  broker,  in  each  case,  |^%  on  the  amount  of  stock  purchased.  If  the  former  pays  a  half-yearly 
dividend  of  and  the  latter  a  half-yearly  dividend  of  6f  %,  find  his  total  income  for  the  half-year. 

6.  Coffee,  costing  35  cents  per  pound,  is  mixed  with  Chicory  worth  10  cents  a  ])Ound,  in  the  proportion  of 

5  pounds  of  coffee  to  2  pounds  of  chicory,  and  the  mixture  is  sold  for  34  cents  a  pound  ;  find  the  gain  %. 

7.  A  person  invests  the  present  worth  (true  discount)  of  $30,192  (due  six  months  hence,  at  4%  per  annum)  in 

Bank  stock  paying  6%  yearly  interest  and  selling  at  92| ;  his  taxes  amount  to  6|-%  of  his  gross  income 
from  the  above  investment :  find  his  net  annual  income. 


8.  A  and  B  invest  capital  in  the  proportion  of  4  to  5  in  business  ;  at  the  end  of  6  months  A  withdraws  of  his 
capital,  and  B  of  his.  Af  the  end  of  the  year  there  is  found  to  be  a  gain  of  $4,050  ;  how  is  this  to  be 
divided  1 


9.  (1)  In  multiplication,  why  are  the  successive  partial  products  not  placed  d  rectly  over  one  another  1 

(2.)  Can  the  multiplier  be  a  concrete  number  1  Explain  clearly  the  meaning  of  the  factors  in  5ft.  x  3ft.  =  15 
sq.  feet. 

(3.)  Is  a  fraction  a  number  1  Explain  fully  why  f  has  the  same  value  as  yf . 

10.  Find  within  an  inch  the  length  of  a  side  of  a  scpiare  field  which  contains  two  acres. 


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.0! 


Province  of  Ontario. 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th— 29th,  1876 


Examiners. High  School  Inspectors,  and  Six  Sub-Examiners 

CitudiJates  are  I'equired  to  observe  the  regulations  strictly. 

No.  11. 

COMPOSITION. 

The  candidates  may  select  either  of  the  following  subjects  : — 

Newspapers. 

Country  and  City  Life. 


•Oi'ifijnO  lo  eonivonS 


.rjoo  ine.  iiwii!  <? '/.i.  M  T  [  T  H /,'i  ,i  TAia'iajoa 


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\ 


Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION  June,  26th— 29th,  1876. 


Examiners — The  High  School  Inspectors  and  Six  Sub-Examiners. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  12. 

ENGLISH  LITERATURE. 

1.  Sketch  the  life  and  give  an  account  of  the  works  of  Thomas  Gray. 

2.  Name  the  pi’incipal  writers  contemporary  with  Gray,  and  give  a  brief  account  of  the  life  of  any  one  of  then^ 

.3.  “Some  village-Hampden,  that,  with  dauntless  breast 

The  little  Tyrant  of  his  fields  withstood. 

Some  mute  inglorious  Milton  here  may  rest, 

Some  Cromwell  guiltless  of  his  country’s  blood.” 

(i.)  Wr-ite  notes  on  the  }rroper  names  in  the  stanza  quoted. 

( a. )  What  is  your  opinion  in  regal’d  to  the  charge  brought  against  Cromwell  in  the  last  line  1  Support 
your  answer  with  reasons. 

(Hi.)  Give  an  account  of  the  metre  of  the  Elegy,  and  scan  the  first  two  lines. 
f^iv.)  Quote  another  passage  from  the  Elegy  exjiressing  the  same  idea  as  the  last  two  lines  of  this  stanza. 
(v.j  State  in  your  own  words  the  meaning  of  the  stanz’-r. 

4.  Make  a  list  of  Scott’s  metrical  romances,  and  name  other  works  of  the  same  class  produced  by  contemporary 

poets. 

5.  Give  the  substance  of  Canto  3  of  the  “  Lady  of  the  Lake,”  intr’oducing  quotations  where  you  can. 

fi.  “  At  length  his  rank  the  stranger  names, 

The  Knight  of  Snowdoun,  James  Fitz-.James/ 

Lord  of  a  barren  heritage,  • 

Which  his  brave  sires,  from  age  to  age. 

By  their  good  swords  had  held  with  toil  ; 

His  sire  had  fallen  in  such  turmoil.” 


Illustrate  from  his'.ory  the  statements  contained  in  the  last  tl\j'ee  lines. 


[over. 


7.  What  is  meant  by  these  words  '?  ‘  (Jairn,’  ‘  fealty,’  ^  requiem,’  ‘  lea,’  ‘  claymore,’  ‘  truncheon,’  ‘  liege,’  ‘  beaker, 

‘linn,’  ‘  dhu,’  ‘  bracken,’  ‘glaive.’ 

8.  Refer  to  its  place  in  the  “  Lady  of  the  Lake  ”  each  of  the  following  passages  : — 

“  ’Twere  worth  ten  years  of  peaceful  life 
One  glance  at  their  'array.” 

‘  ‘  One  burnished  sheet  of  living  gold 
Loch  Katrine  lay  beneath  him  rolled.” 

ft 

‘  ‘  Thou  many-headed  monster-thing 
0  who  would  wish  to  be  thy  king  !  ” 

“  He  rights  such  wrong  where  it  is  given. 

If  it  were  in  the  court  of  Heaven.” 

9.  “Viewing  the  mountain’s  ridge  askance, 

The  Saxon  stood  in  sullen  trance, 

Till  Moray  pointed  with  his  lance, 

And  cried — ‘  Behold  yon  isle  ! — 

See  !  none  are  left  to  guard  its  strand. 

But  women  weak,  that  wring  the  hand  : 

’Tis  there  of  yore  the  robber  band 
Their  booty  wont  to  pile  ; 

My  purse  with  bonnet-pieces  store. 

To  him  will  swim  a  bow-shot  o’er. 

And  loose  a  shallop  from  the  shore.’  ” 

(i.)  Wlia,t  mountain  and  what  island  are  referred  to? 

(ii.)  Write  explanatory  notes  on  ‘  Moray’  and  ‘  bonnet-pieces.’ 

(Hi.)  Pai’se  ‘  w/»nt,’  ‘bonnet-pieces,’  ‘  bow-shot,’  and  ‘  o’ei’.’ 


I 


Province  of  Ontario, 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  JUNE  26th— 29th,  1876. 


Examiners. — The  High  School  Inspectors,  and  Six  Sub-Examiners. 
Candidates  are  required  to  observe  the  regulations  stiuctly. 

No.  13. 

EUCLID. 


1.  Distinguish  accurately  Axiom  and  Postulate,  Problem  and  Theorem,  Direct  and  Indirect  Demonstration. 

2.  To  bisect  a  given  rectilineal  angle,  that  is  to  divide  into  two  equal  angles. 


Explain  the  meaning  of  the  phrase  “  on  the  side  remote  from  A.”  Why  is  this  limitation  necessary  ] 

3.  Any  two  sides  of  a  triangle  are  together  greater  than  the  third  side. 

Prove  this  proposition  without  producing  a  side.  The  difference  between  any  two  sides  is  less  than  the 
third  side. 

4.  The  opposite  sides  and  angles  of  a  parallelogram  are  equal  to  one  another,  and  the  diameter  bisects  the 

parallelogram,  that  is  divides  it  into  two  eqaal  parts. 

The  middle  point  of  the  greatest  side  in  a  right-angled  triangle  is  equally  distant  from  the  three  angles. 


5.  Equal  triangles  on  the  same  base  and  on  the  same  side  of  it,  are  between  the  same  parallels. 

The  line  joining  the  middle  points  of  any  two  sides  of  a  triangle  is  parallel  to  the  third  side  and  equal  to 
half  of  it. 


6.  If  a  triangle  and  a  parallelogram  be  on  the  same  base  and  between  the  same  parallels,  the  pprallelogram  shall 

be  double  of  the  triangle. 

A  D  and  B  C  are  the  only  parallel  sides  in  the  quadrilateral  A  D  B  C,  F  is  the  middle  point  of  D  C. 
Show  that  the  triangle  A  F  B  is  half  the  quadi'ilateral. 

7.  If  a  straight  line  be  divided  into  two  equal,  and  also  into  unequal  parts,  the  .squares  on  the  two  unequal  pai-ts 

are  together  double  of  the  square  on  half  the  line  and  of  the  .square  of  the  line  between  the  points  of 
section. 

Divide  a  straight  line  into  two  parts  so  that  the  square  on  one  of  them  shall  be  equal  to  twice  the  square 
on  the  other. 

8.  Given  half  the  perimeter  of  an  isosceles  triangle,  and  its  verticle  angle  equal  to  one-third  of  a  right  angle, 

construct  the  triangle. 


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Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th-29th,  1876. 


Examiners — The  High  School  Inspectors,  and  Six  Sub-Examiners. 

Candidates  are  required  to  observe  the  regulations  strictly. 

No.  14. 

GEOGRAPHY. 

1.  {a)  State,  and  explain  very  briefly,  the  causes  which  modify  the  climate  of  a  country.  Give  examples  from 

Europe  and  America. 

(b)  What  are  isothermal  lines  %  Explain  this  statement  ;  “  On  account  of  the  extent  of  ocean,  the  isothermal 
lines  in  the  southern  hemisphere  coincide  more  nearly  with  the  parallels  of  latitude  than  in  the  northern.” 

2.  How  do  you  prove  that  the  earth  is  round?  Derive  and  define  the  terms  Tropic,  Sun’s  Declination, 

Meridian,  Antarctic  Circle. 

3.  (a)  What  are  the  productions  and  chief  exports  of  Egypt,  Brazil  and  Turkey  ?  (h)  What,  and  under  what 

government  are  Manilla,  the  Tyrol,  Tenerifie,  Funchal,  Aden,  Formosa,  Hungary,  Minorca,  Ouadaloupe, 
Singapore,  Queensland,  Batavia,  Otago,  Nepaul  ? 

4.  Sketch  a  map  of  that  part  of  the  United  States  west  of  the  Mississipi.  Mark  the  capitals  and  chief  rivers. 

5.  Name  the  races  to  which  the  inhabitants  of  Europe  and  Asia  belong,  specifying  the  portions  chiefly  occupied 

by  each. 


6.  State  accurately  the  position  of  Cairo,  St.  Hyacinthe,  Mobile,  Wexford,  Khiva,  Smyrna. 


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Province  of  Ontario 


COLLEGIATE  INSTITUTES  AND  HIGH  SCHOOLS. 


INTERMEDIATE  EXAMINATION,  June  26th— 29th,  1876. 


Examiners — The  High  School  Inspectors  and  Six  Sub-Examiners. 
Candidates  are  reqnii-ed  to  observe  the  regulations  strictly. 

No.  15. 

HISTORY. 


1.  (o)  Describe  with  extreme  brevity,  introducing  dates  where  you  can,  the  English  conquest  of  Britain. 

(h)  Explain  Mi\  Green’s  remark,  referring  to  this  conquest ;  “  What  sti-ikes  us  at  once  in  the  nev:  England 
is,  that  it  was  the  one  purely  German  nation  that  rose  upon  the  wreck  of  Rome.” 

2.  What  was  tlie  political  condition  of  England  at  the  accession  of  Henry  III  ? 

5.  Name  the  sovereigns  whose  vices  or  follies  were  the  source  of  great  benefits  to  the  English  nation.  Give 
instances. 

4.  Write  a  very  brief  sketch  of  the  life  and  character  of  any  one  of  these ;  Cardinal  Wolsey,  Lord  Strafford, 

the  Duke  of  Marlborough. 

5.  State,  as  accurately  as  you  can,  the  position  of  the  following  places,  and  connect  them  with  important  events 

and  dates  in  English  history  :  Utrecht,  Shrewsbury,  Naseby,  Eontenoy,  Amiens,  Lucknow. 

6.  Write  short  historical  explanatory  notes  on  “  The  Pilgrimage  of  Grace,”  “The  Test  Act,”  “  The  Treaty  of 

Dover.” 

7.  Explain  the  exact  natui’e  of  Her  Majesty’s  title  to  the  British  crown. 

8.  Name  the  principal  events  connected  with  the  administration  of  the  Count  de  Frontenac  in  Canada.  Give 

dates. 


9.  What  causes  led  to  the  Canadian  Confederation  in  1867  1 


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