Imperfect subj. of ingredior. Pluperfect subj. of reor. Imperfect indic. of fio. Imperative act. of abeo. Imperfect subj. of nolo. 6. Translate into Greek, using the words given in their proper construction : ἐπὶ πολίτης νέμω (1) In-the-time-of Cleisthenes, the citizens were-dis πύργος (2) The guards were-placed at-intervals-of ten towers. ἐπὶ ἵππος σὺν εἴσει μι (3) He entered the city on horseback with 400 ὁπλίτης soldiers. 7. Parse and give the principal tenses of the following verbs:ἁλῶναι, δράσον, ὄνασθαι, κεκμηκότες, ἐκτήσω, χυθείς, δέδοκται, λέληθα, ἔθην, ραγέντα, my interest to do How far are you 8. Translate into Latin:-I lived ten years in Rome. I came to Rome ten years ago. It is this. I am afraid he will not come. going? He sat by the river side. 9. Give Perfect, Supine, and Present Infinitive of:gaudeo, pango, seco, fulgeo, caedo, lino, haurio, solvo, diligo, fruor. 10. What cases are governed by the following prepositions, and with what difference of meaning ?-tenus, super, sub, ob, prae, ultra. III. Arithmetic. 1. (1) Multiply 36017. 78. 44d. by 117. (2) Multiply 1 ton 3 qrs. 7 lbs. by 38. (3) Find the cost of 1027 yards at 118. 7d. per yard. 2. (1) Divide 392385 by 171. (2) Divide 715 by 23. (3) Shew that 1 of 1 of 4 of 3} = {+} + 1⁄2 + ÷ +12· 2 3. (1) Write .05 as a vulgar fraction, and as a decimal. (2) Give a rule for reducing a mixed circulator to a vulgar fraction. (3) Extract the square root of 3788862.25. (4) Reduce of 28. 6d. to the decimal of a sovereign. (5) Divide .36 by .108, 3.6 by 10.8, .036 by 1.08. (6) Find the sum of 1.0623+ 106.23+10623.-10.623. 4. (1) Find the cost of carpeting a room 19 ft. by 13 ft. 6 in. at 38. 8d. per square yard. (2) A wall 200 feet long and 6 ft. 9 in. high contains 41 cubic yards; what is the thickness? 5. (1) What will 1250l. amount to, with simple interest for 3 years 4 months at 4 per cent.? (2) A certain 4 per cent. stock is issued at a discount of 23 per cent.; what income should I get from 3857. invested in it? 6. (1) If 2 men working 8 hours a day can excavate 100 yards in 5 days: how many hours a day must 4 men work to excavate 300 yards in 6 days? (2) If the number of third class passengers is to the number of first and second class together as 7:2, and the number of second class passengers is to the number of first class as 5: 3, what fraction of the whole number of passengers will the first class amount to? IV. 1. Define-plane angle, right angle, polygon, scalene triangle; and explain what is meant by postulates and axioms. 2. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 5. If a straight line falling on two other straight lines, make the alternate angles equal to each other; these two straight lines shall be parallel. 6. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two equal parts. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 8. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 10. 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 upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. |