7. Give the derivation of the following words:-Reichthum, Pferd, Vorwand, Geschwülst, künftig, Kunst, Gesicht, Friedensverträge, Armuth, Niemand. 8. Translate into German : (1) You perhaps have money, but I have none. (2) He is my enemy and also yours. (3) What sort of a prince is he? (4) I do not know which book you desire. THURSDAY, JUNE 11, from 2.30 to 4.30 P.M. 2 (d). German. (Third Paper.) Translate: (1) Die Fahrt war die angenehmste. Eine malerische Landschaft, die mit jeder Krümmung des Flusses sich an Reichthum und Schönheit zu übertreffen schien, reizende Gärten und geschmackvolle Landhäuser ohne Zahl, welche beide Ufer der Brenta schmücken, hinter uns das majestätische Venedig, mit hundert aus dem Wasser springenden Thürmen und Masten, alles dies gab uns das herrlichste Schauspiel von der Welt. Eine lustige Musik schallte uns entgegen, als wir einige italienische Meilen von der Stadt ans Land stiegen. Sie kam aus einem kleinen Dorfe, wo eben Jahrmarkt gehalten wurde; hier wimmelte es von Gesellschaft aller Art. Ein Trupp junger Mädchen und Knaben alle theatralisch gekleidet, bewillkommte uns mit einem pantomimischen Tanz. Ehe der Tanz noch völlig zu Ende war, schien die Anführerin desselben, welche eine Königin vorstellte, plötzlich wie von einem unsichtbaren Arme gehalten. Die Musik schwieg. Ein König ist unter uns' rief sie, riss ihre Krone vom Haupt und legte sie-zu den Füssen des Prinzen. Frag mich nicht, Zwei Orte nur für mich! Ein Himmel, wo (3) König Jakob gab seinem Ross den Sporn, Graf Douglas fasste den Zügel vorn, 'König Jakob, ich war Dein Seneschall, Ich will nur tränken Dein Ross im Stall, König Jakob sprang herab vom Pferd, Aus der Scheide zog er sein breites Schwert Nimm's hin, nimm's hin, und trag es neu, Und bewache mir meine Ruh, Der ist in tiefster Seele treu, Wer die Heimath liebt wie du,' TUESDAY, JUNE 9, from 9 to 11 A.M. 3. Arithmetic. 1. How many guineas weigh 259 lbs. troy, each guinea weighing 5 dwts. 9 grains? 2. Find the G.C.M. and L.C.M. of 9576, 11340 and 12852. 4. Divide 20217. into five parts which shall be to one another as, 1, 10, 11, 12. 5. Write out the rule for the conversion of a recurring decimal to a vulgar fraction; and convert 1.0100i. Divide 1 by 0035. 6. Find the value of 2.01 of 28. 1d. + ·23 of 71⁄2d. d of Il. 7. Find, by Practice, the value of 3 cwt. 3 qrs. 25 lbs. 8 oz. at 9l. 68. 8d. the ton. 8. If 6 men working 9 hours a day have trenched an acre in 8 days; what will 9 men, working 10 hours a day, earn in 4 days, when the price of trenching is 9d. the square perch? 9. Find the Compound Interest on 2627. 10s. for 2 years at 4 per cent. per annum, the interest being added every half-year. 10. What is the Discount on 1700l. due 100 days hence at 71. 6s. per cent. per annum? (1 year = 365 days). 11. Three pipes A, B, C, can respectively fill a cistern in II, 12, 36, minutes; in how many seconds would the cistern be filled if A, B and C were all running? 12. The 2 per cents. being at 90, and the 3 per cents. at 98; which is the better investment? TUESDAY, JUNE 9, from 2.30 to 5 P.M. 4 (a). Euclid, I, II. 1. Define point, line, straight line, boundary, figure, circle; and write out Euclid's postulate concerning circles. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another, they shall also have their bases or third sides equal; and the two triangles shall be equal, and their other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. Draw a straight line through a given point parallel to a given straight line. 4. Write out that part of Euclid II. 4, which proves that the parallelograms about the diameter of a square are likewise squares. 5. Equal triangles on the same base, and on the same side of it, are between the same parallels. 6. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced. 7. 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. 8. Describe a square which shall be equal to a given rectilineal figure. TUESDAY, JUNE 9, from 2.30 to 5 P.M. (a3 +63)+3ab (a—b) by 3 (a3-b3)—ab (a+b); arranging the result in descending powers of a. 4. Divide 42+xyz+2x2z—xy2 by 2x−y+2. 5. Express in factors: (1) 6x2-7x-20; (2) 8a3-2763. 6. Find the greatest common measure of 2x4-9x3+21x2-24x+16 and 4x4-9x2+24x-16. 7. Find the least common multiple of 210xy (x2 —y2)3, 36x3 (x−y)3, and 490x2y1 (x + y)2. 11. A, B, and C have between them 17. If 10d. be added to A's money the sum will be three times B's money. If 7d. be subtracted from A's money the difference will be twice C's money. Find what each has. 12. A farmer paying his men gives to one who has worked 56 days, 2 sacks of flour and 538.; to another who has worked 84 days, he gives 4 sacks of flour and 50s. What is the price of a sack of flour? |