{abc (ab+be+cd + c2)} ÷ (a + b) (a + c) (b + d)

when a = 1, b =

3, c = −5, d = 0.

2. Add together

x(x-2y-32), y(y+2z+3x), z(2−2y+3x). 2 (a3 — 2 a2 + 3 a3 +4a2+5a−6)

Subtract

from a2 (3a3a2—15a+5).

3. Multiply xy+yz-3xz by xy+yz+3xz.

10x3+9x2 −4x-3 and 5x3 +7x2 −21x+9;

and the L. C. M. of

x2 y2-9y2, x2y-xy-6y, x2+x2 −6x.

8. Extract the square root of

(1) 25x6-30ax2+19a2x2-бa3 +

(1) }(x−1)−‡x + ž (x + 3 ) − } (x+6) + 1 1⁄2 (x−9) = 0;

10. Solve one or more of the following equations:

(1) Two-thirds of the bells of a foxglove are open, the rest shut; but when four more have opened, the open bells are to the closed as six to one. How many are there altogether?

(2) There are two numbers, one of which exceeds the other by 3, while its square exceeds the square of the other by 99. Find these numbers.

(3) At an election one candidate won by 232 votes; but if one-twelfth of his votes had been given to his opponent, he would have been beaten by 410. How many votes did each candidate poll?

Orford University

EXAMINATION PAPERS.

RESPONSIONS.

TRINITY TERM, 1880.

Oxford

AT THE CLARENDON PRESS

SOLD AT THE CLARENDON PRESS DEPOSITORY 116 HIGH STREET

DOM MINA INUSITIO HIL LV MEA

OXFORD EXAMINATION PAPERS.

RESPONSIONS.

I.

For Latin Prose.

After the battle of Panormus, the hopes of the Romans rose again, and the senate gave orders to build a third fleet of 200 sail. But the Carthaginians, weary of the war, thought that a fair opportunity of making peace was now offered and that the Romans had not so entirely recovered from their late disasters, but that they would gladly listen to equitable terms. Accordingly an embassy was despatched to offer an exchange of prisoners, and to propose terms on which a peace might be concluded. Regulus (according to the well known story) accompanied this embassy, under promise to return to Carthage if the purposes of the embassy should fail. On his arrival at Rome, he refused to enter the walls, and take his place in the senate, as being no longer a citizen or a senator. Then the senate sent certain of their own body, to confer with him, in presence of the ambassadors, and the counsel which he gave confirmed the wavering minds of the fathers.

II.
Grammar.

1. Give the future aorist and perfect in use of Xaμßávo, σπείρω, τρέφω, τρέχω, κρίνω, ἀγγέλλω : and the perfect and supine of pingo, texo, findo, haurio, tendo, contundo, effero.

2. Give the nominative singular of púos, μáρтvρos, öpvilas, kúvas, yáλakтos, carnis, alitis, oleris, nostrî, velleris, aucupem, peditem.