5. On what occasions, and with what results, has Great Britain interfered, as friend or enemy, in the affairs of Holland, Germany, Denmark, and Portugal ? 6. Enumerate the chief Naval Battles fought by England during the reigns of Charles II, George II, and George III. What consequences followed? 7. Sketch briefly the affairs of Ireland during the 16th and 17th centuries. 8. Where are the following towns situated, and what branches of trade are carried on in them?Paisley, Halifax, Belfast, Stockport, Sunderland, Dundee, Macclesfield, Cork. 9. Give the dates of the following events:Accession of Canute, Battle of Bannockburn, Battle of Shrewsbury, Accession of Edward VI, Battle of Worcester, Treaty of Nimeguen, Capture of Gibraltar, American Stamp Act, Battle of Talavera, Her Majesty's Accession. ANCIENT HISTORY AND GEOGRAPHY. 1. Write the lives of, and compare Themistocles and Alcibiades. 2. Enumerate, and give some account of the principal Greek Colonies. What great distinction is there between the objects of the Greeks and Romans respectively in establishing settlements? 3. When and how did the Plebians acquire the right of intermarrying, and of sharing the Consulship, the Dictatorship, and the Public Land, with the Patricians? 4. Give some account of the wars between Rome and Macedonia, and Mithridates, and of Julius Cæsar's campaigns in Gaul? 5. On what occasions in Greek or Roman History do you find mention of Potidæa, Lesbos, Segesta, Mantinea, Capua, Tarentum, Saguntum, Beneventum? Where are these places situated? MODERN CONTINENTAL HISTORY AND GEOGRAPHY. 1. Describe briefly the chief contests between the Popes and Temporal Sovereigns? 2. How were the following events accomplished: the Union of Lorraine with France; Hungary and Venetia with Austria; Norway with Sweden; Finland with Russia; and the separation of Belgium from Holland, and of Greece from Turkey? 3. Give short accounts of Louis XIV, Peter the Great, and Frederick the Great. 4. Give the dates of the Discovery of America by Columbus; commencement of the Revolt of the Netherlands, and the Thirty Years' and Seven Years' Wars; Accession or Death of Charles XII of Sweden; Elevation of Napoleon I to the office of First Consul; Massacre of St. Bartholomew; Peace of Westphalia. 5. Mark on the map by asterisks, with the names written by the side, the situation of Trent, Salamanca, Warsaw, Rhodes, Constance, Leipsic, Toulon, Namur, Utrecht, Augsburg. MATHEMATICS. Morning Paper. I. TODHUNTER, ESQ., M.A. (N.B-Questions in the remaining part of the Obligatory Portion will be set in the Afternoon Paper.) OBLIGATORY PORTION. 1. Add together the following sums of money: 4321. 11s. 7 d., 177. 16s. 4d., 34271. 2s. 11 d., 101211. 19s. 3 d. 2. Divide 4251. 10s. 74d. by 153, and verify the result by multiplication. 3. Reduce 5813456 pounds to tons, and find how many grains of gold are contained in 4 lbs. 11 oz. 16 dwts. 22 grs. 4. A person's weekly income is 77., and his quarterly expenditure is 641. 5s.; how much will he have saved at the end of 4 years, supposing a year to consist of 52 weeks? 5. Find the cost of 1735 lbs. at 19s. 94d. per lb. 6. Reduce 44 - 21 to a simple fraction. 7. Divide 1.8619375 by 12.0125 and 04032 by '0048. 8. If of an estate be worth 450l. what is the worth of of the estate? 9. Find the amount of 2261. 5s. in 10 years at 44. per cent. per annum, simple interest. 10. Extract the square root of 13277.9529. Euclid. 1. Upon the same base, and on the same side of it there cannot be two triangles which have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. 2. To describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1. Inscribe an equiangular and equilateral pentagon in a given circle. 2. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides or these produced proportionally; and if the sides or the sides produced be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. 3. If two straight lines A E B, CED, in a circle intersect in E, the angles subtended by AC and BD at the centre are together double of the angle A E C. 4. Solve the following equations 5. A quadrilateral figure has two of its sides parallel; the lengths of these sides are 10 and 12 feet respectively, and the perpendicular distance between them is 4 feet; determine the area of the figure. 6. Calculate by logarithms 35.125 × 3397 (1.) 10500 × 009126 07197 (2.) 27 Afternoon Paper. I. TODHUNTER, Esq., M.A. OBLIGATORY PORTION. 2. Multiply together 3-2x+1 and x3-3x+2; and divide the product by a3-3x2 + 3x − 1 3. Reduce the following fraction to its lowest terms |