-Midsummer, 1863.

WEDNESDAY, July 15th.-Afternoon, 41 to 6.

Examiner-J. M°DOWELL, Esq., B.A., F.R.A.S.


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1. Simplify 2x — [3y— {4. — (5y +6x)} ],

С and find its numerical value when a = 12, y = 0., 2. From (a + b) x+(b+c) y take (ab) x— (6-c) y.. 3. Multiply together x? —x+1, x? +x+1, and x4 – x2 +1. septjetri 4. Divide the product of a' + ab + b2 and a3 +63 by a4 +-(a to, a263 +64.

5. State and prove the rule for finding the Greatest Common, Measure of two algebraical expressions.

6. Find the Greatest Common Measure of 3x3 – 13x? + 23x - 21 and 6t x? — 44x + 21. 7. Simplify √xtra Vx-ya

and find its numerical La x-a ✓xta value when x = 18, a= 2. 8. Solve the equations :

(i.) (x+3)' = {6-(1-x)}#—2.
S = 2


L =
(iii.) $(x+28)-V(2—28) = 2.
9. Reduce to their simplest forms the fractions :-

x3 + 2x2 + 2x
305 + 4x

3 + 2x 2-3x 16x - x?

2 + x

3° -4.
10. If x be eliminated between the two equations

ax3 + b3 + cx+d=0, and 3ax? + Zbx+c= 0, show that the result will be

(bc-9ad)' = 4 (1-3ac) (co-36d). 11. The sum of two numbers is 4, and the difference of their squares is 8; find them.

12. How much chicory, worth 6d. per lb., must be mixed with 80 lbs. of coffee, worth 2s. per lb., in order that the mixture may

be worth ls. 6d. per lb. ?

(ii.) {146–119 = 46



THURSDAY, July 16th.-Morning 10 to 12.


Examiner-THE REV. G. A. JACOB, D.D.

I. Translate into English :(α.) Ουχ υμείς λέγετε ότι έτι τετράμηνος έστι, και ο θερισμός έρχεται και ιδού, λέγω υμίν, επάρατε τους οφθαλμούς υμών, και θεάσασθε τας χώρας, ότι λευκαι είσι προς θερισμόν ήδη. Και ο θερίζων μισθών λαμβάνει, και συνάγει καρπόν εις ζωήν αιώνιον· ίνα και σπείρων δμου χαίρη και ο θερίζων εν γαρ τούτω ο λόγος εστίν ο αληθινός, ότι άλλος εστίν ο σπείρων, και άλλος και θερίζων. 'Εγώ απέστειλα υμάς θερίζειν, ό ουχ υμείς κεκοπιάκατε: άλλοι κεκοπιάκασι, και υμείς εις τον κόπον αυτών εισεληλύθατε. Εκ δε της πόλεως εκείνης πολλοί επίστευσαν εις αυτών των Σαμαρειτών, δια τον λόγον της γυναικός μαρτυρούσης, ότι είπέ μοι πάντα όσα εποίησα.

(5.) Πρωΐας δε γενομένης, έστη ο Ιησούς εις τον αιγιαλόν· ου μέντοι ήδεισαν οι μαθηται ότι 'Ιησούς έστι. Λέγει ουν αυτοίς ο Ιησούς, Παιδία, μή τι προσφάγιον έχετε; 'Απεκρίθησαν αυτώ, Ού. Ο δε είπεν αυτοίς, Βάλετε εις τα δεξιά μέρη του πλοίου το δίκτυον, και ευρήσετε. Έβαλον ούν, και ουκέτι αυτό ελκύσαι ίσχυσαν από του πλήθους των ιχθύων. Λέγει ούν και μαθητής εκείνος, ον ηγάπα ο Ιησούς, το Πέτρο, ο Κύριός έστι. Σίμων ούν Πέτρος ακούσας ότι ο Κύριός έστι τον επενδύτην διεζώσατο, ήν γάρ γυμνός, και έβαλεν εαυτόν εις την θάλασσαν.

II. Grammatical Questions. 1. Give the present, future, perfect, and aorist of έρχεται, επάρατε, λαμβάνει, συνάγει, σπείρων, έστη, βάλετε, ευρήσετε, διεζώσατο.

2. Decline, in the singular number, χώρας, άλλος, πολλοί, γυναικός, μαθηται, πλήθους, θάλασσα, εαυτόν.

3. Write out the whole tense of θεάσασθε, κεκοπιάκατε, ήδεισαν, απεκρίθησαν, ηγάπα, διεζώσατο. Say what tenses they are, and what verbs they come from. .

4. What are the augments? When are they severally used, and in what tenses? Give examples.

5. What are the characteristics of the conjugations of verbs in of verbs in ue? Give examples, as far as you can, from the passages

ω, and

before you.

6. Give the derivation of τετράμηνος, προσφάγιον, επενδύτην.




THURSDAY, July 16th.-Morning, 12 to 1}.


Examiner-W. ODLING, Esq., F.R.S.

1. What is meant in Chemistry by the expression “atomic weight"? Is there any difference between the atomic weight and the equivalent of a body ?

2. What are the reactions by which chlorine gas is usually made? What are its properties and uses ?

3. How is nitric acid made, and what are its properties ? Explain its action upon metallic copper.

4. What is the difference in composition between calomel and corrosive sublimate ? How are the two compounds respectively prepared ?

5. What are the tests for antimony ?

6. Describe the properties of carbonic oxide, and of carbonic acid. By what reactions are they usually obtained ?

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