1. Explain the meaning of the terms strait, firth, estuary, archipelago, river-basin; and give an example of each. 2. Give in order of their size (i.) the six largest sea-ports of England, naming the rivers they are on; (ii) the three highest mountains of Scotland; (iii) the three largest lakes of Ireland. 3. Where, and for what noted, are the following towns:-Boulogne, Talavera, Morpeth, Syracuse, Leyden, Enniscorthy, Frankfort, Astrakhan, Falkirk, Plymouth, Kilmarnock, Kilkenny? 4. On what parts of the coast of Great Britain are the following fisheries carried on :-herring, pilchard, oysters, and shrimps? What ports in Great Britain send out vessels to the Whale Fishery? 5. Where do the following rivers flow, and what town is at the mouth of each :-Tyne, Tamar, Dee, Clyde, Boyne, Danube, Volga, and Dnieper? 6. What is meant by a volcano? Mention three volcanoes in Europe. State where they are situated, and, as near as you can, the height of each. 7. Where are the Channel Islands, the Balearic Isles, and the Ionian Isles; and to whom does each group belong? 8. What are the chief imports and exports of China ? 1. In building a viaduct of one hundred and one arches, ninety thousand and nine bricks are used for each arch. How many bricks are used altogether? Express the answer in words. 2. A farmer pays 30s. an acre rent on a farm of 215 acres. His working expenses amount to £589 17s. 4 d. His receipts are £1305 6s. 8d. Find his net income. 3. How many years, months, etc., are contained in 45,000,724 seconds, calculating 365 days to a year? 4. Add together 1,,, ; and multiply the sum by 13. 5. Reduce 5, to decimals; also 15625, 00026 to vulgar fractions. 6. Multiply £74923 14s. 7 d. by 168; and divide £179478 8s. 104d. by 755. 7. What is the value of 13 cwt. 3 qrs. 4 lbs. at £2 18s. 4d. per cwt. ? 8. Three fields, measuring respectively 6 ac. 2 ro. 14 po., 11 ac. 1 ro. 19 po., 13 ac. 1 ro. 12 po., are allotted in equal portions to 35 labourers; how much more land would be required to extend the gift to 82 labourers ? 9. A coach, travelling 9 miles an hour, runs a certain distance in 11 hrs. 36 min., but a train does the sanie distance in 5 hrs. 13 min. 12 sec.; what is the rate of the train ? 5. Reduce to its lowest terms 2x3 + 8x2y + 16xy2 + 16y3 6. Simplify the expressions— (i.) (x − 1) + 3% (6x − 1) = † (2x + 7) + (x+8). (ii.) (2x+5) (5x −2) + (3x+4) (4x — 1) = (2x+1) (11x+10). 8. A sum of money is divided among three persons. The first receives £10 more than a third of the whole sum; the second receives £15 more than a half of what remains; and the third receives what is over, which is £70. Find the original sum. 1. Define straight line, diameter, square. 2. If two triangles have two sides of the one equal to two sides of the other, each to each; and have likewise the angles contained by those sides equal to each other; they shall likewise have their bases, or third sides, equal; and the two triangles shall be equal; and their other angles shall be equal, cach to each, viz., those to which the equal sides are opposite. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 6. Prove that twice the bisector of the base of a triangle, drawn from the opposite vertex, together with the base, is greater than the sum of the other two sides. 1 SAMUEL. 1. What was the sin of Eli, and how was he punished? 2. Relate the adventures of Jonathan, which led to the defeat of the Philistines at Michmash, together with Saul's unadvised adjuration and its consequences. 3. State what you know of David down to the first manifestation of Saul's jealousy of him. 4. Relate what you know of Ebenezer, Nahash, Agag, Keilah, Achish, Ziklag. (Only three to be chosen.) 5. What was the first military exploit of Saul after his appointment as king? 6. Narrate the adventures of David between his flight from Saul and his meeting with him in the cave of Engedi. 7. Relate the circumstances that led to David's marriage with Abigail. 8. Describe the positions of Shiloh, Ramah, Gilgal; and show their connection with the life of Samuel. |