Section 4. Scan the above passage, parse the words printed in italics, and show their construction with other words in the passage. Section 5. Name the works that you would recommend in the formation of a school library. GEOGRAPHY AND POPULAR ASTRONOMY. Section 1. 1. Assign to their respective countries the following towns, viz. :- -Varna, Riga, Trieste, Dresden, Buenos Ayres, Benares, Teheran, Vera Cruz, and Marseilles. 2. Draw an outline map of England, and lay down the Rivers, Thames, Severn, and Tyne; and the Capes, Flamborough Head, St. Bees Head, South Foreland, Start Point, and Spurn Head. 3. (a) Name the rivers which have their sources in European Russia, and the seas into which they respectively fall. (b) Trace the course of the largest and mention any particulars regarding it. Section 2. 1. Name the towns on the Rhine in their order, beginning with Schaffhausen. 2. Draw an outline of Spain and Portugal, indicating the mountain ranges, and tracing the rivers. 3. A vessel sails on a coasting voyage from Quebec to Valparaiso. Name (a) the countries passed; (b) their capitals; (c) their forms of government. Section 3. 1. What rivers flow into the Mediterranean, and what are its principal seaports? 2. State what you know regarding the manufactures and commerce of Belgium. 3. Name the mineral productions of England, as nearly as you can in the order of their importance, and the counties in which they are found. Section 4. 1. How was Palestine divided (a) after the conquest by the children of Israel; (b) after the death of Solomon; (c) in the time of our Saviour? 2. Name, and give the exact position of the celebrated plains and valleys of Palestine. 3. State what you know regarding the climate and natural productions of Palestine. Quote any texts of Scripture referring to the subject. Section 5. (For Male Candidates.) 1. How would you explain and illustrate to a class the terms Snow-line, Watershed, and Isothermal-line? 2. Upon what do the volume and velocity of rivers depend? Illustrate your answer by examples. 3. Describe the physical features, climate, inhabitants, and natural productions of Australia. Section 6. (For Male Candidates.) 1. Explain the phases of the moon, illustrating your remarks by a figure. 2. Distinguish (a) the sidereal day; (b) the solar day; (c) the mean solar day; (d) the lunar day. 3. Describe parallax and aberration. By whom, and when, was the latter discovered? Section 7. (For Female Candidates only.) NATURAL HISTORY. 1. Into how many classes has the animal kingdom been divided? Specify these. 2. State what you know regarding the geographical distribution of wheat, barley, rye, and the potato. 3. Write out full notes of a lesson on one of the following animals :— 1. The camel. 2. The sperm-whale. 3. The hippopotamus. 4. The wolf. ARITHMETIC. (Three Hours allowed for this Paper.) Section 1. 1. Explain the process of borrowing in subtraction. 2. Divide 68571 by 57, explaining each step of the operation. 3. What number is represented by 123 in a system of notation in which 6 is the radix, instead of 10, as in the common system? Section 2. 1. What sum of money would be received from 471 persons, each of whom subscribed 41. 7s. ld.? 2. Divide 20501. 16s. 3d. equally among 471 persons. 3. If a sovereign be worth 254 francs, what will be the value of a five franc piece? 1. Find the rent of 19 acres 1 2. Required the value of 123 Section 3. rood 8 poles, at 11. 1s. 8d. per acre. cwts. of sugar, at 17. 19s. 8d. per cwt. 3. Of two workmen, who are paid by time and in proportion to their skill, one receives 35s. for 6 days' work: in what time will the other, whose skill is to the skill of the former as 198 to 165, earn 33s.? Section 4. 1. Find the product of the sum and difference of the two fractions 13 and. 2. Divide 448 by 056, and 056 by 3. Reduce each of the decimals 234 and 266 to a vulgar fraction in its lowest terms, and add the two fractions together. Section 5. 1. In what time will 757. 10s. 5d. amount to 971. 5s. 5d. at 4 per annum simple interest? cent. per 2. Find the discount on 1037. 13s. d., due two years hence, at 4 per cent. compound interest. 3. A person invests a certain sum in the 3 per cents. when they are at 963; had he waited until they had fallen to 963 he would have obtained 167. more stock; how much money did he invest,per cent. being charged for brokerage? Section 6. 1. Distinguish between book-keeping by single entry and book-keeping by double entry, and explain the advantages of each over the other under different circumstances. 2. Give examples of the headings and entries on both sides of the books used in double entry. HISTORY. (Three Hours allowed for this Paper.) Section 1. 1. Write notes of a lesson on the reign of Henry VIII., or (2.) On that of Richard III., or (3.) On that of George III. Section 2. Assign events in English history to the following dates: 1. 451, 1066, 1189, 1264, 1314, 1346, 1388, 1513, 1522, 1588. 2. 1605, 1649, 1660, 1678, 1694, 1704, 1714, 1745, 1776, 1783. 3. 1800, 1801, 1805, 1807, 1809, 1815, 1832, 1837, 1847, 1854. Section 3. 1. Write a short account of David II. of Scotland, stating particularly the circumstances under which he was taken prisoner by the English? 2. In what reigns did Shakspeare, Milton, Johnson, Byron, Scott, Marlborough, Wolsey, Strafford, Nelson, Wellington, and Peel flourish. 3. How were the relations of England and Scotland affected by the union of (1) the crowns, and (2) the kingdoms? Section 4. 1. When and by whom was the Court of Session instituted? State what you know of its present organization. 2. Sketch the history of" national education" in Scotland. 3. Compare the rights" enjoyed by a subject of William I. King John, Charles II., and Queen Victoria. Section 5. Give a brief life of one of the following persons Burns, Cowper, Wallace, Edward III., or James I. of Scotland. Section 6. GENERAL HISTORY. 1. Give a short account of the Turkish Empire from the taking of Constantinople. 2. Give a short account of the rise and progress of the Russian Empire. 3. Give some account of the present war with Russia, mentioning (1) the states engaged; (2) the states in suspense; (3) the probable family or territorial reasons for that suspense. ALGEBRA. (Three Hours allowed for this Paper, with that on higher Mathematics.) 3. Find the greatest common measure of 6 x3-xy - 7 x y2+ 12 y3 and 8 + 2xy-9 xy + 9 y3. 1 Section 3. 1. Expand (1 − a) to four terms by the binomial theorem; and find the cube root of 999 to 8 places of decimals. 2. In extracting the square root of a number, show that, when more than half the digits of the root have been obtained by the ordinary rule, the rest may be found by division. 3. Find the number of combinations of n things taken r together. 2. The average price of wheat for the six weeks up to 6th May 1854 was 77s. 8d., and up to the 13th of May 78s. 3d., and the price for the week ending 13th May was 78s. 10d.; what was the price for the first of the six weeks up to 6th May? 3. If there be twelve competitors for a prize, of whom four are certain to be in the upper half of the list, and four others are certain to be in the lower half, in how many ways is it possible that the list may be arranged? MECHANICS AND PHYSICAL SCIENCE. (Four Hours allowed for this Paper.) Section 1. 1. Having given the direction of the resultant of two forces acting at a point, find its magnitude. 2. The beam of a balance is three feet nine inches in length: a body placed in one scale appears to weigh nine pounds, in the other scale appears to weigh four pounds, find the true weight of the body, and the length of the arms of the balance. 3. Explain the combination of levers used in the Stanhope printing press. Section 2. 1. Find the ratio of the power and the weight in that system of pullies in which each pulley hangs by a separate string, all the strings being parallel, neglecting the weights of the pullies. 2. Show how to graduate the common steelyard. 3. A given uniform heavy beam A B, moveable in a vertical plane round a hinge at A, is sustained by means of a string fastened at the other extremity B; this string passes over a fixed pulley E, and has a weight P, which hangs freely, attached to its other end; find the position of equilibrium of the beam A B, having given that E is in the same horizontal line with A, and that AE= AB. G Section 3. 1. Enunciate the second law of motion, and explain, clearly, the grounds on which it has been received. 2. Prove the equation s = ft where f is a uniformly accelerating force, and s the space described by a particle under its action in the time t. 3. A string having two balls at one end and one at the other, passes over a fixed pulley. After the two balls have descended from rest for three-quarters of a minute, they fall off; how much further will the other ball ascend, the balls being supposed all equal? Section 4. 1. Give the experiment by which it is shown that fluids press equally in all directions. 2. Describe the common hydrometer, and compare the specific gravity of two fluids by means of it. 3. Prove that the elastic force of air at a given temperature varies inversely as the space occupied by it. Section 5. 1. Explain, by means of a figure, how a person sees the reflection of an object in a plane mirror. 2. Explain, clearly, how a simple convex lens magnifies an object. 3. Describe the common astronomical telescope on the simplest construction, and draw a figure showing the passage through it of a pencil of rays from a distant object. Section 6. 1. State, as nearly as you can, the component parts of air and water. 2. Explain how a person is enabled to set himself in motion, and to increase that motion, on a common swing, supposing him unable to touch the ground. 3. Carbonic acid is expressed by the formula C O2, and water by H O; explain, precisely, the meaning of these symbols. AGRICULTURE. 1. Write out a calendar of the farmer's work in the months of April and November. 2. What is the chemical constitution of bone dust? For what soils is it best suited as a manure, and in what manner should it be applied? 3. Name the principal varieties of soils, and the crops for which they are respectively best adapted. EUCLID. (Three Hours allowed for this Paper.) Section 1. 1. If two angles of a triangle be equal, the sides also which subtend, or are opposite to them, are equal. 2. Bisect a given rectilineal angle. Find a point in a given fine which shall be at the same perpendicular distance from two given lines. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater angle is greater than the base of the other. Why is the side which is not the greater of the two chosen in the construction? Draw a figure in which Euclid's proof fails when this precaution is not taken, and give a proof in this case. |