19

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GEOMETBY. 1. Define a definition, a, postulate, an axiom, a problem, and a theorem. 2. Any two angles of a triangle are together less than two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 5. If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles; and, conversely, if it cut it at right angles, it shall bisect it. . 6. Prom a given circle cut off a segment which shall contain an angle equal to a given rectilineal angle. 7. Describe an isosceles triangle having each of the angles at the base double of the third angle. GEOLOGY. 1. Describe the various physical conditions under which crystalline and volcanic rocks occur. 2. Describe the means by which lake-basins have been formed. 3. Explain the formation of mountains, and show how the different characters of the rocks, as well as their position, will affect the character of mountain scenery. 4. State what are the great agencies which operate in modifying the surface of the earth's crust, and describe the manner in which they each act. 5. Give a chronological list of the various geological formations. NATTJBAL PHILOSOPHY. 1. Name and describe the mechanical powers, showing how they are applied to the lifting of heavy weights, &c. 2. Explain in what manner sound travels, and state what constitutes the difference between a noise and a musical note. 3. Describe a Leyden jar. Explain how it is charged, its characters when charged, and how it is discharged. 4. Describe the various forms of lenses, and explain their different optical properties. 5. What is meant by latent heat? Give some instance which will illustrate your description. CHEMISTEY. 1. Calculate the centesimal composition of the following compounds : —Sulphuric acid, manganic binoxide, potassic chloride, baric carbonate, and water. (H=l ; o=l6 ; S=32 ; Mn=ss ; K=39 ; Cl=3s 5; 8a=137; C = 12.) 2. How is ammonia prepared, and what are its properties? Give equation. 3. What weight of air is needed for the complete combustion of one pound of carbon ? 4. What weight of air is required for the oxidation of that quantity of metallic copper which is reduced from its oxide by 10 grammes of hydrogen? 5. How is oxygen prepared, and what are its properties? HISTORY. 1. Give some account of the first attempts of the English to found colonies. 2. Into what classes was English society divided during the feudal ages ? Sketch broadly the manner of life of the people of those days, and the relations of each class to the others. 3. Explain the expressions, " Hue and Cry ;" " Thorough ;" " Mad," " Long," " Bump," and "Barebone's Parliaments;" "Battle of the Spurs;" " Jacobite;" "Orangeman;" " Chartist." T""^ 4. Eelate the chief political events in English history between the Bestoration and the Eevolution. 5. Divide English history since the Conquest into periods, and state the grounds of your division. 6. When were the following measures enacted, and what were their most important provisions :— Poyning's Law, Self-Denying Ordinance, the Act of Settlement, the Septennial Act ? BOOK-KEEPING. 1. Journalize the following transactions : — 1880. Jan. 1. In hand — £ s. d. Cash ... ... ... ... ... 65 0 0 Ditto at bank ... ... ... v ... 150 0 0 Goods ... ... ... ... ... 119 7 2 John Plockton's acceptance, due July 17 ... ... 45 0 0 Debts owing hy me — Jonas Thompson ... ... ... ... 34 0 0 Thomas Dorrington ... ... ... 26 5 4 „ 2. Paid into bank ... ... ... ... 50 0 0 ~ 3. Bought of John TravelSi chests hyson tea, 1 cwt. 3 qr. 4 1b.=200 lb., at 2s. 3d. 22 10 0 „ 4. Sold to Joan Brough — li chests oolong tea, 40 lb. net, at Is. Bd. ... ... 3 6 8 8 boxes pearl leaf gunpowder, 72 lb., at 3s. 6d. ... 12 12 0 „ 5. Paid Thomas Dorrington by cheque ... ... 26 5 4 Paid wages... ... ... ... ... 310