Ist. aor. opt. act. of dpáw; perf. imperative pass. of ypάow; and give the 1st pers. sing. of the 1st aor. of rpépw, in all the moods, in the active, middle, and passive voices. 4. Parseἐτέτατο, δεδιότες, ἐστάλη, ᾐνέθη, δαμείσαις, fare, perpessis, regare, intererit, putâras. 5. Write down 3rd sing. fut. ind. mid. of véμw; 2nd sing. Ist aor. opt. pass. of кplvw; 6. Give the perfect and supine act. of- dimico, comperio, exhaurio, excedo, differo; and the fut. and perf. and aor. act. and pass. of λανθάνω, ἐγείρω, κλίνω, ἐλαύνω, κάμνω. 7. (1) Put into Oratio Recta : Negat ullius consilium imperatoris in speciem audacius, re ipsa tutius, fuisse quam suum, ad certam eos se victoriam ducere. (2) Put into Oratio Obliqua : Atque ego, quanquam nullum scelus rationem habet, tamen, ut in re nefaria, quae mens, quod consilium vestrum fuerit, scire velim. Vos cum Mandonio consilia communicâstis et arma consociaturi fuistis. 8. Translate into Latin:- He was born on the 22nd of November in the year 1856. Three hundred of us survived the battle. Take whichever of the two you like. It is too good to be true. I threatened him with death. 9. Translate into English :— Φαίνεται ζητῶν. Τέταρτος αὐτὸς ἐστρατήγει. Εἷλον αὐτὸν αὐτοῖς τοῖς ὅπλοις. Λαθὼν οἴχεται. Βουλομένῳ μοι ἣν θανεῖν. 10. Explain the following, giving one example of each :— Inceptive verb. Desiderative verb. Gerundive. Cognate accusative. Heteroclite substantive. III. Arithmetic, 1. Find, by Practice, the value of 8640 articles at 28. 5d. each. 2. 3 tons of sugar are bought at 427. per ton and sold at 51⁄2d. per lb.; what is the gain on the transaction? 3. Simplify these fractions: 4. What is the cost of papering a room 17 ft. 4 in. long, 12 ft. 8 in. broad, and 12 ft. high, with paper 2 ft. wide, at 7 d. the yard? 5. Divide .005 by 625, by .0625, and by .000625. Divide 0083 by ⚫025. 6. What is the value of .018 of a mile, .7875 of a sovereign? 7. Add together .i of a guinea, .16 of a shilling, and reduce the result to the decimal of a sovereign. 8. Find the square root of 42849, and of 119.0281. 9. A cistern 5 ft. deep, 16 ft. long, and 4 ft. 6 in. broad is filled by one pipe in 45 minutes; in what time will a cistern 6 ft. deep, 20 ft. long, and 5 ft. broad be filled by three similar pipes? 10. Find the G. C. M. of 999 and 4033; and the L. C. M. of 27, 36, 63, 72, 24. 11. What is the compound interest and amount of 2000l. for 3 years at 5 per cent. ? 12. I have 13000l. in the Three and a Half per Cents., and sell out when they are at 98; how much money do I realize? and how much must I add to secure an equal income in the Three per Cents., buying in at 87? 13. The total rent of a farm is 1000l.; the following charges have to be made:-land tax at I per cent.; poor rates at 7d. per £; other local rates at 114d. in the £; tithe charge 967. 10s.; and insurance at 38. per cent. What are the net receipts? IV. [N. B. Two Propositions at least from the Second Book are required.] 1. Define-trapezium, gnomon, polygon, rhomboid, segment of a circle, scalene triangle. 2. From a given point draw a straight line equal to a given straight line. 3. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 4. Describe a square that shall be equal to a given rectilineal figure. 5. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. Parallelograms on the same base, and between the same parallels, are equal to one another. 7. 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. 8. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. 10. The angles which one straight line makes with another straight line on one side of it, either are two right angles, or are together equal to two right angles. 11. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. (a-b)x-(b-c)y from ax+b (x+y)+cy. 3. Multiply x2 — xy + y2+x+y+1 by x+y−1. 4. Divide acx3 +(ad—bc)x2-(ae+bd)x+be by ax-b. (2) 6a3-6a2y+2ay2-2y3 and 12a2-15ay + 3y2. 6. What is the L. C. M. of a2—b3, (a—b)2, (a+b)2, a3 —b3, a3 +b3? 9. Solve the equations : (1) 5-3(4−x)+4(3−2x) = 0; (2) X -c = x+2c رام 11. A garrison of 800 men had sufficient provisions for 64 days, but at the end of a fortnight it was reinforced, and the provisions were then exhausted at the end of 16 days more. What was the number of the reinforcement? 12. At what time will the hands of a clock be perpendicular to one another between 2 and 3 o'clock ? |