Annual Examinations, 1901. 1. If one side of a triangle be produced, the exterior angle. shall be greater than either of the interior opposite angles. 2. The square described on the hypotenuse of a right-angled triangle is equal to the squares described on the other two sides. 3. ABC is an equilateral triangle, and AD is the perpendicu- lar drawn from the vertex A to the opposite side BC. Prove that four times the square on AD is equal to three times the square 4. If a straight line be divided externally into any two seg- ments, the square on the straight line is equal to the difference of the rectangles contained by the straight line and the two 5. To describe a square that shall be equal to a given recti- lineal figure. (Euc. II., 14.) 6. Find the sides of a rectangle, given its perimeter and the side of a square of equal area. 7. Equal chords in a circle are equidistant from the centre. 8. If a straight line be a tangent to a circle, and from the 9. Two circles touch internally at the point A. From A two chords APQ, ARS are drawn, the one meeting the circumferences in P and Q, and the other in R and S. If the radius of the one circle is double that of the other, show that the straight line QS is double the straight line PR. Annual Examinations, 1901. PART II. JUNIOR LEAVING AND PART II. JUNIOR ANCIENT HISTORY. (W. J. ALEXANDER, PH.D. Examiners: PELHAM EDGAR, PH.D. NOTE.-Candidates will take questions 1 to 5 and either 6 or 7. 1. Explain the chief peculiarities of the geographical situation of Greece, and the causes of Greek colonial and commercial enterprise. 2. Outline the political situation which Solon opposed, and compare him with Pericles. 3. Give the main features of the careers of Pausanias and Alcibiades. 4. Discuss the causes and the political effects of the free distribution of corn to the Roman populace. 5. Write notes upon: (a) Jugurtha; (b) Marcus Cato; (c) Caius Gracchus ; 6. Give an account of the political work of Julius Caesar. 7. Write geographical notes upon :-Attica, Argos, Leuctra, Hymettus, Peneus, Dyrrhachium, Massilia, Numidia, Capua. Annual Examinations, 1901. PART II. JUNIOR LEAVING AND PART II. JUNIOR FRENCH COMPOSITION. (J. H. CAMERON, M.A. Examiners: J. MACGILLIVRAY, PH.D. 1. Translate into French : A. (a) How many months are there in a year?—There are twelve. (b) What day is it?-It is Thursday, not Wednesday. (c) It is twenty minutes past six, or a quarter to seven. (d) To-morrow will be the fifteenth of August, nineteen hundred and one. 2. Translate into French:— (a) This wine is too dear; it should sell at eight francs a bottle. (b) Three times five make fifteen, and the half of fifteen is seven and a half. (c) My cousin is twenty years old, and my brother is only sixteen. (d) The carpenter and the grocer have been here for fortyone years. 3. Translate into French : (a) It is cold to-day, but I am too warm, for I am ill. (b) I never go out when it rains; I work at home. (c) He has lost all his money, but that makes no difference to him. (d) I shall have a house built soon, if I am well. 4. Translate into French : (a) Are you sorry that they cannot come and see us? (b) How do you want her to arrange her books? [OVER.] |