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Rabbits, W. T.

(Natural History) Rudd, J. J. (Natural History.) Steiner, B. T.

Clarendon House.

Artillery House School. Clarendon House.

(German.) Withall, F. (French and Arithmetic and Algebra.)

Beddow, J.

(Arithmetic and Algebra.) Boor, E. G. (Latin.) Bradbury, E.A. (Latin) Darby, C. (French.) Desgratoulet, J. M. (French) England, E. (French.) Fielding, H. R.

(Drawing.)

Francis, L. A.

B. Special. Seymour House.

Seymour House.
Clapham New Park.
Seymour House.
Chiswick Collegiate School.

Forest House, Woodford Wells.
Artillery House School.

Marlboro' House, Brompton.

Stratford Academy.

(English and French.) Freeman, J. H. (Arithmetic and AJgebra, and Natural Philosophy.) Hadland, F. A. (English, French, and Latin.) Hill, J. (English.) Hollebone, A. R.

(French.)

Clapham New Park.

Forest House. Clarendon House.

Clapham New Park.

Hooper, J. (French.) Forest House. Long, E. E.

(French and Greek.)

Noble, J.W. (English.) Clarendon House. Palmer, C. (French) Stratford Academy. Rabbits, W. T. Hollywood School.

(Arithmetic and Algebra.)

Richards, J.

Clarendon House.

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Arnold, S. W.
Ashcombe, J.
Attwater, C.
Baird, W.
Batchelor, R. T.
Bunnett, H. R. S.
Cadenhead, R. F.
Cooper, J. M.
Dobbins, J. W.
Gardner, J.
Gillingham, A.
Gotch, H. G.
Hacking, W.

Haynes, L.
Howes, R.
Jackson, G.
Jessop, M. J.

Jobling, J.
Hills, J. L.
Law,

Leclere, A.
Lewis, T. R.
Lincke, E.
Linder, J.
Long, W. B. D.
Maunder, N. T.

Mawer, H.
Melton, E.
Pitts, C. H.

Raxworthy, C. F.
Read, A. F.
Roberts, A.
Russell, H.
Satow, C. M.
Silva, E. J.
Teesdale, A.
Topley, S.
Vialls, E.
Walker, E.
Walker, T.

Clarendon House.
Clarendon House.

Duke Street School, Grosvenor
Square.

Bellevue Acad., Kentish Town.
Forest House.

Chiswick Collegiate School.
Marlboro' House.

Aldershot School.

St. John's Grammar School.
Chiswick Collegiate School.
St. John's Grammar School.
Hollywood School.
Harford House.
Clarendon House.
Seymour House.

Hollywood School.
Clarendon House.

Salway House.

Clarendon House.

West London Coll. School.
Clarendon House.

Forest House.

Salway House.

Artillery House.
Wolfington House.
Harford House.

University School, Nottingham
Clarendon House.
Marlboro' House.
Wolfington House.
Harford House.

Clarendon House.

Clarendon House.

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Whorwell, G. D.

Paxton House.

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Thanet Collegiate School, Mar- Easton, G. C.

gate.

Fulland's House, Taunton.

Fulland's House, Taunton.

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Priory School.

Orsett School.

The College, Sydenham.

Thanet Collegiate School, Margate. Brighton_Proprietary Gram

mar School.

Brighton Proprietary Grammar School.

Thanet Collegiate School, Margate.

Fulland's House, Taunton.

Fulland's House, Taunton.

Brighton Proprietary Grammar School.

Brighton Proprietary Grammar School.

Fulland's House, Taunton.

Brighton Proprietary Grammar School.

Fulland's House, Taunton.

Wilkinson, G. F. E. The College, Sydenham.

(Arithmetic & Algebra) Elliott, J. H.

(Book-keeping.) Farnfield, C. E.

(Natural History.) Fortescue, H. J. F. (French, & Natural History.) Franklin, A.

(Book-keeping.)

Glover, J. F.

(Arithmetic & Algebra.) Gordon, H. S.

(English & French.) Harris, W. F.

(Natural History.) Hooper, H.

(Book-keeping.)

Hughes, W. S.

(English, French, and Music.)

Jackson, W.

Priory School.

Dane Hill House, Margate.

The College, Sydenham.

Brighton Proprietary Gram-
mar School.

Dane Hill House, Margate.

Cowper's House, Huntingdon.

Aberdare Grammar School.

Thanet Collegiate School,
Margate.
Fulland's House, Taunton.

Newport Collegiate and Com-
mercial School.

Thanet Collegiate School, Mar-
gate.

Dane Hill House, Margate.

Elvin House, Andover.

Elm House, Sittingbourne.

Great Ealing School.

Fulland's House, Taunton.

Fulland's House, Taunton.

Great Ealing School.

Elm House.

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(Book-keeping & Natural History.)

keeping.)

Pocock, G. P.

Great Ealing School.

Wiles, W.

Cowper's House, Huntingdon.

(Natural Philosophy.)

(Arithmetic & Algebra, and French.)

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Ravey, F. (English.) Ridler, J. K. (English, & Book. keeping.) Sharp, C.

(French & Latin.)

Hall, Miss M. L.

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(German & Music.)

(Music.)

Holding, Miss E.

(French & German.)

Taylor, Miss F.

(English, French,
and Music.)

Bollen, T.

Brighton and Hove Collegiate

Ladies' School.

Brighton and Hove Collegiate

Ladies' School.

Brighton and Hove Collegiate

Ladies' School.

Brighton and Hove Collegiate Ladies' School.

B. Special.

Amblecote Training School.

Brighton Proprietary Grammar School.

Sharp, F. M.

Brighton Proprietary Grammar School. Brighton Proprietary Grammar School.

The College, Brixton Hill.

Wilkinson, G. T. E. The College, Sydenham.

(English.)

Boxall, Miss R.

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Pocock, G. P.

Port, W.

Powles, E. Sharp, F. M. Walker, E. C. Watkins, H. Whitaker, S. Wonfor, H. H.

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Brighton Prop. Gram. School. The College, Brixton Hill. Orsett School.

Orsett School.
Dane Hill House.
Kelvedon School.
Amblecote Training School.
Dane Hill House.
Sydenham College.
Priory School.

Thanet Collegiate School.
Dane Hill House.
Cowper's House.

Thanet Collegiate School.
Kelvedon School.

Dane Hill House.

Woodville House.
Elm House.

Dane Hill House.

Bayswater Grammar School.
Brighton Prop. Gram. School.
Elm House.

Thanet Collegiate School.
Kelvedon School.

Thanet Collegiate School.
Great Ealing School.
Orsett School.

Kelvedon School.

Thanet Collegiate School.
Fulland's House.

Great Ealing School.

Brighton Prop. Gram. School.
Orsett School.

Brighton Prop. Gram. School.
Brighton Prop. Gram. School.
The College, Brixton Hill.
Woodville House.
Fulland's House.

Brighton and Hove Coll. L.S.

4. LOWER COMMERCIAL.

Blackwell, T. (English.)

(Arithmetic & Algebra.)

Fulland's House, Taunton.

(English, French, and Music.) Dollman, Miss A. (French.) Friend, Miss M. A. (French.) Hall, Miss M. L. (French.)

Atkins, J. A. Bailey, W. T. Bennett, W. Birmingham, C. Burgoin, T. Burge, C. H.

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Challen, G.

Bonnor, C. M.

(Arithmetic & Al

gebra, Book-keeping, and Latin.) Bowes, G. W.

(Arithmetic & Algebra.)

Orsett School.

Ladies' School.
Brighton and Hove Collegiate
Ladies' School.
Brighton and Hove Collegiate
Ladies' School.

Christchurch School.
Elvin House.

The College, Brixton Hill.
Fulland's House.

Fullard's House.

Bedford Place School, South

ampton. Priory, School.

Clement, W. G.
Crawford, S. J.
Dalby, J.

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Bedford Place School.
The College, Brixton Hill.
Woodville House.

Kelvedon School.
Sydenham College.
NewportColl. and Com.School.
Thanet Collegiate School.
Aberdare Grammar School.
Brighton Prop. Gram. School.
Elvin House.
Fulland's House.
Dane Hill House.

Brighton Prop. Gram. School.
Priory School.

Westfield House, Hungerford.

Orsett School.

Woodville House.

Fulland's House.

Fulland's House.
Elvin House.

The College, Brixton Hill.

Amblecote Training School.
Orsett House.

Christchurch School.

Aberdare Grammar School.

Rogers, C. J.
Rowntree, W. G.
Self, F. W.
Skinner, A.
Smith, G. A.
Smith, W. H.
Snoad, C.
Sprake, W.

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Sprake, T. B.

Stevens, M.
Straight, R.
Steytler, J.

Kelvedon School.

Sutton, E. G. V.
Swanston, W. R.
Taylor, E.
Tucker, A.
Vivian, E. N.
Wade, W.
Waters, W.
Webber, R. H.
White, W. H.
White, A. G.
Wrench, W.
Young, A. W.

Brighton and Hove Coll. L.S. Brown, Miss L.

5. THIRD CLASS.

Kelvedon School.

Kelvedon School.

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Barnden, Miss H. J.
Hobden, Miss M.L.E.
Mercier, Miss H.
Mussell, Miss K.
Wilson, Miss M.

Kelvedon School.
The College, Brixton Hill.
Great Ealing School.
Kelvedon School.
Christchurch School.
Dane Hill House.
Kelvedon School.
Christchurch School.
Dane Hill House.
Sydenham College.
Aberdare Grammar School.
Kelvedon School.
The College, Brixton Hill.
Brighton and Hove Coll. L. S.
Brighton and Hove Coll. L. S.
Brighton and Hove Coll. L. S.
Brighton and Hove Coll. L. S.
Brighton and Hove Coll. L. S.
Brighton and Hove Coll. L. S.

titor remains at the school. The funds in all cases are vested in the names of trustees, two of them being the present Lord Mayor and Mr. Alderman Hale, the latter of whom has been long conspicuous for his unwearied exertions in promoting the interests of the seminary.

AN EDUCATIONAL EXPERIMENT : A CoOPERATIVE COUNTY SCHOOL.-The co-operative principle has been applied to education in the county of Devon, by the establishment of a county school at West Buckland; and a general meeting of the shareholders was recently held at South Molton. The Rev. Prebendary Brereton, chairman of the directors, read their report. Ten acres had been purchased for 4667. as the site of a school-house, which was to be erected at a cost of 9387., and to contain a master's residence, dormi. tory for fifty boys, and domestic offices, leaving school-rooms, dining-room, additional dormitories, and additional offices, to be added at a cost of 8001. The directors recommended the completion of the permanent buildings this year, and stated that a call of 107. per share would be sufficient, leaving CITY OF LONDON SCHOOL.-At what is called 51.per share in reserve. The number of shareholders a Court of Hustings, recently held in Guildhall, in was 142, and, without more shares being taken, the presence of the Lord Mayor, Alderman and the directors thought the association had capital Sheriff Abbis, Mr. Sheriff Lusk, Alderman Rose, enough to complete the permanent buildings, and and several members of the Livery, the legal that the prospects of the school requiring such formalities for giving effect to the recent endow-buildings, filling them, and paying interest on the ment of five scholarships in connexion with the capital, were not very remote. The association City of London School were consummated. At owns a school, started in 1858, and calculations the conclusion of the ceremony, Mr. Tee, of the show that, with seventy boarders, there will be a Lord Mayor's Court, who acted as clerk of the surplus of 3001. to be carried to repairs and capital. Court of Hustings, proclaimed the circumstances At present the number of boarders is forty-five. under which the several endowments were made, The directors hope that those who are watching the and in this the interest of the occasion lay. The experiment will in time take up the shares that first consisted of a grant to trustees of 2,000l. 3 per remain to be allotted. They conclude by answering Cent. Consolidated Bank Annuities, by Baron objectors to the scheme. They say that the facts that Lionel Nathan de Rothschild, "Citizen and Fish- private establishments are exceedingly numerous monger," of the City of London, and one of its and are maintained by local and parental resources representatives in Parliament, to found and endow show that these resources are large, and that there a Scholarship, "in grateful recognition of the is a preference for principles of independence and assistance afforded by his fellow-citizens in carry-self-support which it is desirable to maintain and ing an Act for enabling a Jew to sit in Parlia- encourage. It is admitted that the advantages of ment,' ,"such scholarship to be for the mainte- system, combination, and organisation are on the nance and education, at an English or foreign side of Government schools; and the object of a university, of one scholar, to be selected from county association is simply to transfer to the side Brighton Prop. Gram. School. the City of London School, and to be tenable for advantages. To those who object to the standard among the pupils of every religious persuasion in of independence and self-maintenance those same four years, provided he shall properly conduct of education, the directors say the objection cannot himself, and shall with due diligence pursue his apply to a self-supporting school, which simply studies for the purpose of qualifying himself to offers advantages at their real cost to those who graduate at the University to which he may belong can afford to pay for them. To those who object "with honour to the founder of the scholarship to this mode of establishing a school, the reply is, and with credit to himself and the school." The that it would have been difficult, if not impossible, next is a scholarship founded and endowed with to have raised the capital on any other basis than tion Fund Committee, "to perpetuate the remem- liability, the sum of 1,3331. odd, by the Jews' Commemora- that of a proprietary association with limited Donations cannot be received from brance of the passing of an Act of the Legislature those who object to become shareholders, but they on the 23d of July, 1858, by which Jews were may be and have been contributed towards a enabled to sit in Parliament on taking an oath permanent prize and endowment fund, the money consistent with their religious principles, and to to be invested, and the interest, equally with the testify to the electors of the City of London the dividend, to be distributed in scholarships and grateful sense entertained by the Jews in this prizes. Without asserting that the experiment country of the exertions made in their behalf in has been fully tried, the directors invite inquiry favour of religious liberty by the repeated election and discussion. Negotiations have already been of Baron Lionel de Rothschild, a Jew, as one of entered into for admitting another school into the representatives of the City in the House of the association. Earl Fortescue has endowed a Commons." This scholarship, like the preceding chaplaincy to the school by transferring 1000Z. in one, is to be open to all the pupils of the school, of Consols to the trustees; and Viscount Ebrington every religious persuasion, who are not more than has also given 2007. under the will of the late Hon. sixteen, and shall have been three years in the John Fortescue, to found a scholarship to be school, and it is tenable for three years. The third is “the Masterman Scholarship," endowed with 1,000l., the surplus of a fund subscribed by merchants, bankers, traders, and citizens for a testimonial to Mr. Masterman on his retirement from Parliament. The dividends are to be applied in enabling a scholar of the school to continue his study at a University for a period of four years from the date of his matriculation. Lastly, Mr. Tite, M. P., has given 1,500l. for the foundation of

Priory School.

Aberdare Grammar School.

Sydenham College.
Sydenham College.

The College, Brixton Hill.
Woodville House.
Elm House.

Sydenham College.
Christchurch School.
Dane Hill House.
Thanet Collegiate School.
Brighton Prop. Gram. School.
Bayswater Grammar School.
Woodville House.
Elm House.

Aberdare Grammar School.
Aberdare Grammar School.
Sydenham College.
Dane Hill House.
Christchurch School.
Aberdare Grammar School.
Bayswater Grammar School.
Thanet Collegiate School.
The College, Brixton Hill.
Bayswater Grammar School.
Sydenham College.
The College, Brixton Hill.
The College, Brixton Hill.
Thanet Collegiate School.
Kelvedon School.
Bayswater Grammar School.
Cowper's House.

The College, Brixton Hill.
Fulland's House.

The College, Brixton Hill.
Sydenham College.
Elm House.

Kelvedon School.

Woodville House.

competed for annually. The report was adopted, and a letter was read from Earl Fortescue stating that he proposed making such an addition to the church at East Buckland as would admit the boys of the school over and above the ordinary congregation. He recommended that the shares should be paid in full, and was prepared to pay up the whole of his own fifty-six shares. The Duke of Bedford and other shareholders have volunteered to pay off their shares in full, in order to facilitate the completion of the buildings.-Dial.

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1. A college at Hurstpierpoint, in Sussex, for training middle schoolmasters.

1848, with the special object of improving and by which, not seldom boys are permanently
middle-class education. Besides large build-injured.
ings at Lancing, on a property of 230 acres, We are by no means admlrers of the régime
as the head-quarters of the society, with a of Busby or Keate, nor insensible to the
grammar-school for the sons of gentlemen, the abuses to which it is liable, but we believe
college has in operation-
that the opinion of the vast majority of sen-
sible persons, both teachers and parents, in
this country, is, that if corporal punishment
2. A public boarding-school, in the same build- were entirely done away with in English
ing, for the upper class of tradesmen, farmers, schools, it would be a serious injury to edu-
clerks, &c., at a payment varying, according to cation. The whole question is argued in a
circumstannces, from 20l. to 30l. a-year, contain- very able and interesting manner, in an article
ing more than 250 boys, who are taught by seven which we reproduce elsewhere from the "Mu-
clergymen and graduates of the Universities, with seum," and which will be found well worthy
six other trained masters.

3. A cheaper boarding-school at Shoreham for the sons of small shopkeepers and artisans, at which the payment for board and education is but thirteen guineas a-year. This is carried on for the most part in houses hired by the parents of the boys (230 of whom are already admitted, and no more houses can be hired). This disadvantage

of the attention of those who are interested in this subject.

COLLEGE OF PRECEPTORS' BENE-
VOLENT FUND.

WE find that the amount of this fund is at

it is now sought to remedy by the erection of pre-present the very small sum of £47 only, which
mises to accommodate 1,000 boys with an ade- is invested in the names of the trustees, the
quate staff of masters.
Rev. W. Taylor Jones, Mr. Arthur Hill, and
Dr. E. T. Wilson, in the Bloomsbury Savings
Bank. It is much to be desired that this de-
partment of the College should be put into an
efficient position as soon as possible. The
Bye-Laws provide that no portion of the Fund
can be distributed until the interest derived
from the capital invested amounts to at least

THE EDUCATIONAL TIMES.
SINCE the publication of our last number,
the cause of middle-class education has taken We are also informed that applications for
a decided step in advance. Statesmen, law- admission are now so numerous, that a school
yers, prelates, manufacturers, and country- for 1,000 boys would be full by the time the
gentlemen have met together to congratulate building was completed. Between six and
one another, and the nation at large, on the seven thousand pounds will make up the re.
success of an educational experiment which quisite sum for this completion, as otherwise
has now passed through a probation of some this institution will be self-supporting. Mr.
twelve years.

And this time, at least, an Woodard's schools are essentially middle-class £50 per annum. illustrious assemblage were not brought toge- public schools; minor Etons and Harrows, The Trustees, in the hope of speedily augther to pay homage to one of our great pub- where the pupils are taught by competent menting the Fund to the required extent, have lic schools on the arrival of its tercentenary masters, and where each boy may enjoy pure commenced a subscription, and have, with festival; or to inaugurate some new plan for air and plenty of plain wholesome food. We several other Members of the Council, put aiding and extending pauper education. The make no complaint whatever that Mr. Wood- down their names for five guineas each, condiscovery appears to have been at length ard limits or enlarges the educational additionally that forty Members of the Council made that between Eton, Harrow, Rugby, vantages which he offers to parents accord-enter their names for the same amount. One &c., and the national schools, which are so ing to the amount of the fee which is paid. gentleman has offered the same sum annually carefully and so constantly inspected by gen- Nevertheless we have strong doubts as to whe-for ten years. If the Members of the College tlemen of learning and ability, there lies an ther thirteen guineas per annum will, by any generally will come forward in a similar spirit, educational terra incognita which requires only possible or impossible amount of management, the necessary amount may quickly be raised, to be well planted and watered to bring forth be found a sufficient sum to provide board and and thus one of the most beneficial objects of fruit in abundance. The upper classes have education for a boy; for if the appeal to pub- the corporation may be realized. It is earnestly literally confiscated to their own uses the funds lic benevolence be successful, lodging will not hoped that this attempt to establish the Fund originally intended for the education of the have to be included in the tariff. We know upon a sure basis may meet with the success poor; and while to the poor this loss has been that the air of the Sussex Downs is keen and it deserves. Other bodies have their Benevomore than made good from the national purse, appetizing; and though the member for lent Funds; and it is not creditable to the inlittle sympathy, and less aid, has been extended Berkshire joked at Mr. Squeers, that un- fluential and numerous class of Preceptors to that large class of English citizens who worthy Yorkshireman did not pretend to be that one of the objects specially mentioned in could not send their sons to our Grammar able to board and educate a boy for less than their Charter of Incorporation should have Schools, and who very properly will not send five shillings and sixpence a week. One thing been so long in abeyance. them to the National School. It is a mere is certain, that if this can be done for the sum mockery to tell the farmer or tradesman that in question, parents will no longer consent to

AND ALGEBRA, GIVEN AT THE EXAMINA.
TION OF PUPILS AT THE COLLEGE OF PRE-
CEPTORS, JUNE, 1861.

ARITHMETIC.

Eton and Winchester, through their founda- pay £50 or £60 annually. We may add, that in SOLUTIONS OF THE PAPERS IN ARITHMETIC tion endowments are now as open to his sons the county of Devon, where two admirable proas to those of the nobles of the land. The prietary schools have been lately started, a open sesame to these coveted establishments, or, much higher tariff has been, we think wisely, indeed, to any other desirable place, is not to be fixed on." With regard, however, to Mr. Woodlearned in an ordinary Commercial Academy. ard's financial view we ought to say that the Lord John Manners urged, with not less Bishop of Chichester informed the meeting truth than point, that the educational position that the "Liverpool Blue Coat boys" were supof the middle classes in this country reminded ported at the yearly cost of £10 each. This, him of that unfortunate middle child in a at all events, reminds us of the Greek proverb, family, of which it was said that the eldest παχεῖα γαστὴρ λεπτὸν οὐ τίκτει νόον, being strong enough would walk over the which we hope is verified both at Liverpool gutter, the youngest would be carried over it, and Shoreham. while the middle one, left to itself, would tumble into it.

(First and Second Classes.)

reckoning 97 Leap Years in 400 years?
(1.) How many hours are there in 1600 years,
No. of days 1600 × 365+ 97 x 4

=

=

(584389) × 24 hrs. =14025123 hrs.

(2.) Find the weight of 5 dozen spoons, each weighing 2 oz. 4 dwts.

=

11 x 12 132 oz.

We may now notice a little piece of sentiment which Mr. G. H. Sala gave vent to in his Elsewhere in these columns our readers will speech, when he expressed a hope that corsee an account of the meeting held at St. poral punishment would be entirely banished James's Hall for the promotion of self-sup- from Mr. Woodard's schools. Mr. Sala furporting public boarding schools for the "lower ther remarked, that in the French schools, of Weight of spoons 23 × 60 = middle classes" in connection with St. Nicolas' which he had experience, this mode of punishCollege, Shoreham. As we stated before, Mr. ment was entirely dispensed with. Now, we doubt Woodard's experiment has turned out success- whether as a general rule corporal punish(3.) How many yards, worth 4s. 24d. a yard, fully; and it is now to be tried on a more ex-ments are wholly done away with in French must be given in exchange for 402 yards at 3s. 5d. tensive scale. schools, and we utterly abhor the system of a yard? From Mr. Woodard's report we learn that starvation and imprisonment which is made No. of yards x 45s. St. Nicolas' College was founded in the year to do duty for them where they are abolished; [.. No. of yards

=

=

402 × 318. 67×× 1983 × 4 =332 yds.

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THE EDUCATIONAL TIMES.

gall.

× 11s. = 70 × 131,

.. No. gall.

70 40 3

X X
1 3 35

... water = 10 gall.

1 -2x + x2

1

-1-2x-3x

=

80 gall.

and 13s.-11s. = 138.

.. 11gs.: 1gs. :: 1007. x,

:

001 19

108

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(5.) Reduce 1888, to decimals; and -015625, 0099, to vulgar fractions.

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-x2-2x-3x+

+ 2x + 3x2 + 4x3 + 5x+ + &c.

(5.) Find the G. C. M. of 2x3- 3xy2 — 4xy2 + 6y, and 2x3-xy + xy2 — Cy3.

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907. 24997, 15s.: 3l.: xl. ..

=

24997. 15s.
30

(i.)

=

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=

0.

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(ii.)

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X

1+2°
(1 + x + x23)

=

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Let x

0099. 10000 x

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(7.) Solve the equations :

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1
x+2 2+2

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3y-2r=111

(iii.) √✅✅/12 + x =√√x+6. (iv.) 13x-5y= 1 Š

(i.) 88-x-4=1}x, .'. x=7.
(ii.) 3x+12-4x-12=(x+3) (x+4) × -1

1

296 feet

2+2

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(7.) Add together 3 of 17s. 6d., of 21s., and Cubic inches of lead on one square foot=44 of 10s., and reduce the result to the decimal of 41. 19s. 54d. 9 cubic inches, 296 × 9 .. Total quantity= 1 cubic feet. 1728 cubic feet of water = 10 × 13 × 7, 5 x 13× 7 × 1000 ..Weight of water= 16 × 112 × 20

=

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89

=

12,8 tons.

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(8.) A grocer has tea worth 3s. per lb. and other tea worth 5s. per lb. In what proportions must

√/2, b = 3, c = 4, d = 0, find the he mix 30 lbs. so that he may sell the mixture at 3s. 4d. per lb.?

a2b+cd-√√/u1+be+ 3/2c+bd.
Here ab+cd-√√✅ a1 + bc + 3/2c + bd
=6+0-/4+12+√/8=6-4+2=4.

(2.) Simplify 1 [2-(7x-4)] + 2 —
[3+(4-x-5)].

Here 1-2+(7-x-4)+2-3-(4-x-5)
=7−x+4−2−4+x-5=0.

(3.) Find the product of

(i.) a2 + b2 + c2-ab-ac-bc by a+b+c.
(ii.) 2 + x, x + 3, 2−x, and x−

- 3.

(i.) = a3 + b3 + c3-3abc
(x+2)(x+3) (2−x) (x-3)=-(x2-9) (x°—4)
— (x1 — 13x2+36)

-=

(4.) Divide (i.) x5—5x3-1 by x2 + 3x + 1.
(ii.) I by 1-2x + x3 to 5 terms in
the quotient.

x2x5-5x3+5x2-1

+ 3.x
+1

- x2 + 3x1 —3x3 + x2
-3x2+9x3-9x2+3x
-x3 +3x2-3x + 1

x3-3x2+3x-1

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