From 1234 5 from 4 we cannot; but if we borrow 1 out
Take 345 of the 3 tens (leaving 2 tens) and treat it as

10 units, we shall now have 14 units in the 889 upper line; we can now say 5 from 14, 9, i.e.

9 units, and we set down 9 as the units-figure of the result. We have now to take 4 tens from 2 tens (3 tens1 ten), and so on.

Division is the method finding how often one number is contained in another, i.e. how often one number must be taken to make up another. Hence Division bears the same reference to Subtraction as Multiplication bears to Addition; for we might go on subtracting the divisor from the dividend, and then from the 1st remainder, then from the 2nd remainder, and so on, until the final remainder is either zero, or is less than the divisor itself; and if we counted the number of times we had subtracted it, this would be the result required, or, as is called, the quotient. But the multiplication-table will enable us much more easily to divide one number by another; thus, since 7 times 9 is 63, if we divide 63 by 7 we shall have the quotient 9, or if by 9, the quotient 7. (Vide Colenso.)

15238

144

60.= £t
£6,184,166 X 40 = £247,366,640. Ans.

7. In a given year the Income-tax was 6d. in the pound and yielded £6,184,166: what was the amount of income taxed ?

8. Reason out a test for determining by a method short of actual division, whether a number be divisible by 11 without a remainder.

Ecample :-392381= 300000 90000+2000+300+80+1= 3X100000+9X10000+2x 1000+3x100 +8 x 10+1= [+1= 3(100001—1)+9(9999+1)+2(1001–1)+3(99+1)+8(11-1) 300003—3+89991+9+2002–2+297 +3+88–8+1 -3+9–2+3–8+i. Therefore 392381 is divisible by 11 and does not leave a remainder.

As like concrete numbers can only be divided by one another: therefore

£5 + 8s. 124, hence 88. is contained 123 times in £5;
88. £5 = 1, hence £5 is contained fth times in 88.
Then 75 gallons X 12 = 937} gallons,
and 75 gallons X is = 6 gallons.

9. There are three quantities : (a) £5, (b) 8s., (c) 75 gallons. Multiply one of them by the quotient of the other two. State accurately the result of the operations, and perform it in as many ways as possible.

mos

morum
senum

VI. Elementary Knowledge of Latin. 1. Write down the

Genitive Plural. genitive plural of

genu

genuum the following

bos

boûm (for bovum) domus

domorum nouns – Genu,bos,

clades

cladium domus, clades, mos, senex, dux,

Benex cinis, civis, vis,

dux

ducum cinis

cinerum vir, ver, iter, silex,

civis

civium palus, 08, jecur,

vis

virium canis.

vir

virorum ver (the spring)

has no plural iter

itinerum silex

silicum pālus (mas.)

palorum pålus (fem.)

paludum

ossium jecur

OS

4. What verbs govern two accusative cases ? Construct sentences to illustrate their use.

66

Verbs of asking, teaching, entreating and warning may have two accusatives, one of the person, and another of the thing: as

“ Racilius me primum sententiam rogavit,"

Quis musicam docuit Epaminondam ?"
“ Nunquam divitias deos rogavit."
“Quid nunc te litteras doceam."
“ Cæsar flagitat frumentum Æduos."
“Puer partrem nihil celavit.”

“ Pacem te poscimus omnes."
Factitive verbs, that is, of making, calling, thinking and the
like, have two accusatives, one of the object, the other of the
complement: as-

Te facimus Fortunā deam.
Romulus urbem suam Romam vocavit.
Ciceronem populus consulem declaravit.

5. What cases do the following prepositions govern:

Palam, Supra, Coram, Sine, Subter, Versus, Clam, Pone, Tenus?

Accusative.

Ablative. pone

coram supra

palam
versus

sine
clam, ablatire, accusative and genitire.
subter, accusative or ablative.
tenus, genitive and ablative.

The ablative case is used to express-
Cause :

“ Oderunt peccare boni virtuti amore.”

Coptis immanibus effera Dido.” “Metu supplicii aut mortis multi vim tormentorum pertu

lerunt.' Instrument :

“ Hi jaculis illi certant defendere saxis."

“ Dente lupas petit.”
Manner :

“Injuria fit duobus modis aut vi aut fraude."
“Apis more modoque carmina fingo."

“More Carneadeo disputare.”
Comparison :

"Tullus Hostilius fuit Romulo ferocior." Quantity:

“ Tarres denis pedibus quam muri, altiores sunt.”

Condition :

“ Pace tua cum Thaide colloquar."

“ Homo mea sententia prudentissimus est.” Quality :

Qua facie fuit, cui dedisti symbolum?” “ Cæsar traditur fuisse excelsa statura, colore candido,

nigris oculis, valetudine prospera.” Respect :

Angor animo.”

“Ennius ingenio maximus, arte rndis." Price:

“ Viginti talentis unam orationem Isocrates vendidit." Time:

“ Homerus annis multis fuit ante Romulum." Place:

“Ibam forte Via Sacra.”

(1) There is no sorrow which length of time may not lessen or soothe.

(2) Every one must use his own judgment.
(3) No mortal is wise at all times [hours).

(4) Demosthenes was presented with a golden crown on account of his valour.

(5) It is foreign to a great man not to be able to do what he has bid another.

7. Translate the following sentences :-(1) Nullus dolor est, quem non longinquitas temporis minuat ac molliat; (2) Suo cuique judicio est utendum; (3) Nemo mortalium omnibus ho. ris sapit ; (4) Demosthenes coronâ aureâ donatus est virtutis ergo; (5) Alienum est magno viro quod alteri præceperit id ipsum facere non posse.

VII. Latin Translations.

Candidates were required to translate three of the four following pieces selected from Virgil's Æneid, Book I.:(1) From "Urbs antiqua fuit; Tyrii tenuere coloni; line 12; to

Tantæ molis erat Romanam condere gentem;" 33. (2) From “ Æneas scopulum intereà conscendit, et omnem; 180; to

Durate, et vosmet rebus servate secundis;" 207. (3) From "At pius Æneas, per noctem plurima volvens; 305; to

Aut spumantis apri cursum clamore prementem;" 324. (4) From "At Cytherea novas artes, nova pectore versat; 657; to

Ne quà scire dolos, mediusve occurrere possit;" 682. Passages were also selected from Livy, Book I.