a+b+x a b х 9. The roots of x2+px+q being a and b, express a3+b3. 10. Solve: 12x-8 √/2x+4+2 √/2=x=√9x2+16 11. Find the number whose square added to its cube is 9 times the next higher number. 12. If a b c be in arithmetic progression, show that ? (a+b+c)3=a2 (b+c)+b2 (c+a)+c2(a+b) and if they be in geom. progression, show that { -+-+-Ea3+b+c3 ૨૩ 1 1 } 63 C3 in a series of ascending powers of x; and find the coefficient of x in the expression of Examiners.. (1+x)2 1. Describe the wheel and axle, stating the relations between the power and the weight necessary in order to equilibrium. 2. Describe the screw, stating the relation between the power and the weight. 3. A weight of 80 pounds is sustained in an inclined plane by a power of 60 pounds acting parallel to the base: how many feet does the plane rise in the hundred ? 4. Describe the two kinds of lever. 5. A piece of uniform wire is bent into the form of a triangle: find the position of its centre of gravity. HYDROSTATICS. 1. If the pressure of a fluid at a depth of 42 feet be 15 pounds to the square inch, what will be the pressure at a depth of 42 feet 8 inches? 2. An iron spoon is gilded and the mean specific gravity of the gilded spoon is 8, those of iron and gold are 7.8 and 19.4; find the ratio of the volumes and weight of the metals employed. 3. How to graduate the Fahrenheit and Centigrade Thermometers. 1. When a candle burns, is there any loss of material? Explain your answer. 2. In what state does water exist? and what temperature does it require for the different states? 3. What is the composition of water? 4. What is the chemical composition of air, and how is this composition affected (a) by animal life? (b) by vegetable life? (c) by combustion? 5. Of how many parts does the flame of a candle consist, and in what state is the gas in each part? Examiners...... PROTESTANT SECTION. Class 1.-History. REV. A. B. BAIRD, M.A., B.D. {MR. THOMAS GROVER, B.A. 1. What did Champlain do for Canada? 2. Write a note on Dulac des Ormeaux. 3. What were the Clergy Reserves, and how were the grievances about them settled? 4. Why was the Reciprocity Treaty with the United States not continued in force after 1866? 5. Explain Green's statement that "With the reign of Edward the First begins Modern England-the England in which we live." 6. Write the history of Sir Walter Raliegh. 7. "England became the people of a book, and that book was the Bible." Point out, after Green, the influence exerted by the Bible on the social, literary and political character of the English people. 8. Describe the Indian Mutiny. Examiners....... ...... Class 11.-History. { REV. A. B. BAIRD, M. A., B.D. to it. 1. Sketch briefly the life of William Lyon Mackenzie. 2. What were the chief provisions of the British North America Act? 3. Sketch the Red River Rebellion of 1869-70, and indicate the causes that led 4. Write a note on the Fisheries question. 5. Describe the personal character, history and death of William the Conqueror. 6. Write short notes on (a) Adrian's Wall. (b) The Feudal System. (c) The Black Prince. (d) Bosworth Field. 7. Describe the efforts made by the Stuarts to wrest the throne from the House of Brunswick. 8. What was the Reform Bill of 1832? Describe the passing of it. 1. When and why was the battle of Queenston Heights fought ? 4. What, in your opinion, are the main arguments for and against Commercial Union? 5. Describe the religious system that prevailed among the Ancient Britons. 6. What were the provisions of the Magna Charta, and under what circumstances was it granted? 7. Sketch the reign of Queen Elizabeth. 8. Write a short history of the Peninsular War. Examiners...... ROMAN CATHOLIC SECTION. Classes I and II.-History. { S REV. D. GILLIES, B.A. 1. Give a short account of the Roman invasions of Britain. 2 State the principal facts respecting the introduction of Christianity into Britain. 3. What king united the Anglo-Saxon Kingdoms into one monarchy ? When was this? 4. Give the principal features of the reign of William the First, or "The Conqueror." 5. Name some of the more eminent literary and scientific men of England. 7. Relate the principal events connected with the dispersion of the Acadians. Examiners.... Class III.-History. REV. D. GILLIES, B.A. 1. How was the Christian religion introduced into England? 2. Give a sketch of the life of Mary Stuart, Queen of Scots. 3. What was the cause of the contest between England and the American Colonies, now part of the United States? 4. On what terms were the relations of Great Britain and France at the time of Napoleon I? 5. Give the history of Champlain. 6. What was the plan of the campaign of England in 1759 against New France? Give the result. 7. What were the principal events in the campaign of 1812. Classes I and II.—Questions on Religious Instruction. Examiners ........ { REV. D. GILLIES, B.A. 1. What was the state of the civilized world at the coming of Christ, and what was its condition 300 years after? 2. How was the Christian religion treated in Rome during the first three centuries? 3. How was the first Emperor converted? 4. How do we understand the Infallibility of the Pope? 5. What is our devotion to the Blessed Virgin? What honor is due to the Saints? 6. Should the Church of Christ be one and why? 7. Has the priest the power of forgiving sins? 8. How can mortal sins be forgiven outside of confession? 9. Describe how to administer private Baptism and when? Classes 111.-Religious Instruction. Time, 2 hours. REV. D. GILLIES, BA. {REV. D. GRATON, B.A. Examiners 1. Give a definition of sin and of its different species. 2. How is sin remitted in its different degrees? 3. What are our obligations under the 7th Commandment? 5. Give the doctrine on the Sacrament of Confirmation. |