9. Explain and illustrate by examples-Cognate accusative, genitive absolute, indirect question, apposition, deliberative subjunctive. 10. Translate into Latin : (1) He thought that I should wait till his friends returned to Rome. (2) I have no doubt that you will succeed, though others have been disappointed. (3) He begged them to say why they had stayed so many days at Capua. (4) Out of two thousand soldiers, whom the general sent to take the city, six hundred and fifty were killed. (5) I hope to see you when I return after conquering the enemy. 11. Distinguish between the meanings of— (1) ὁ αὐτὸς ἄνηρ and αὐτὸς ὁ ἄνηρ. (2) va with the indicative and tva with the subjunctive. (4) διὰ τούτου and διὰ τοῦτο. III. Arithmetic. 1. Find the L. C. M. of 4, 5, 9, 12, 18; and the G. C. M. of 11664 and 4131. 3. Convert 1.812 and 458i into vulgar fractions of their lowest terms; and divide ·82008 by 4.02. 4. Add together •525 of 17.+5·25 of 108.+52.5 of 18.; and reduce 3.3 of half-a-crown to the fraction of 17. 5. Find the square root of 18671041 and 41.2164. 6. A purchased an estate of 3402 acres 2 roods 10 poles at 567. per acre. Find the gross amount of the purchase money and the rate of interest A would receive if the land were let at 428. per acre. 7. How many deal planks 15 feet long by 9 inches wide are required to form a platform 10 yards wide by 30 yards long? 8. A room is 25 feet long by 18 feet broad. A carpet on being laid down in the centre of the room leaves a margin of 2 feet all round uncovered. Find the cost of staining this uncovered space at three half-pence a square foot. 9. A corn-dealer undertook to supply 1200 stones of flour at 28. per stone. He purchased one third of the quantity at 18. 6d. per stone, and the remainder at 18. 9d. per stone. Find the gain per cent. 10. If 10 men working 9 hours a day can dig 3 acres in 2 days, in how many days will 40 men dig 24 acres working 8 hours a day? 11. The agent of a Life Assurance Company is allowed 12s. 6d. per cent. on the amount for which the lives of his customers are insured. In 3 years he received 120l. What was the average annual amount of the sums insured? 12. Find the simple interest on 1280l. for 5 years at 2 per cent. 13. Find the present worth of 13687. 88. due 8 months hence at 5 per cent. per annum. IV. 1. Define-oblong, hypotenuse, scalene triangle. What is the difference between a diameter and a radius of a circle? 2. Draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. 3. Any two angles of a triangle are together less than two right angles. 4. At a given point in a given straight line make a rectilineal angle equal to a given rectilineal angle. 5. Straight lines which are parallel to the same straight line are parallel to each other. 6. If a parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle. 7. Describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle. 8. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 9. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 10. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. 11. Describe a square that shall be equal to a given rectilineal figure. V. Algebra. 1. If a = 1, b = −2, c = 4, d=-3, find the value of 2x y2 Divide a2+4yz-4y2-22 by x-2y+z. 4. Find the G. C. M. of 3m2-3mn and m2+mn-2n2 + m—n; and the L. C. M. of 8. Square a2-2ab+b2 and cube b-2bc. 9. Find the square root of (1) 4a2-8ab-12a+126+462+9; 10. Solve the equations: (1) 5(x-2)-27 (3x+4). = 2−80 (x + 1); 5 –I2 7x+6 3 y (4) 7x-4y = b—a, 6 X 11. A box contains nothing but shillings and halfcrowns. The number of coins is 73 and their value amounts to exactly 57. How many are there of each kind of coin ? A could do a piece of work by himself in 14 days, but as B assists him throughout, the work is completed in 6 days. In how many days could B have done the work alone? B's yearly income is three-quarters of A's, and A spends 100l. per annum more than B. At the end of three years A has saved gool. and B 45ol. What is the yearly income of each ? (V. 59-67.) Μηριόνης δὲ (VI. 212-221.) *Ως φάτο,. (VII. 268–276.) Δεύτερος αυτ'..... (VIII. 446–453.) Αὐτὰρ ὁ ἔγνω.... ....ὀστέον ἤλυθ ̓ ἀκωκή. .δώμας ̓ ἐμοῖσιν. ...πεπνυμένω ἄμφω. ......τε μέρμερα ἔργα. ̓Αλλ' ὅτε δὴ.........Δολόπεσσιν ἀνάσσων. (XVIII. 368-377.) Ως οἱ μὲν τοιαῦτα.........θαῦμα ἰδέσθαι. (ΙΧ. 476–484.) (X. 446-453.) (ΧΙΧ. 257-265.) (ΧΧ. 318–325.) (ΧΧΙ. 346-355.) (XXII. 189-198.) Translate (ΙΙ. 148–154.) Εὐξάμενος δ ̓ ἄρα......ἀλίτηται ὀμόσσας. VII. HOMER, Od. πτόλιος πέτετ ̓ αἰεί. Ωϊξεν δὲ θύρας.........ἐτάνυσσεν ἱμάντι. |