1. What are the following:-glaciers, cyclone, sirocco, maelstrom, snow line, isothermal line, lagoons, icebergs? State some of the effects of glaciers and icebergs.

2. Give (i.) the names of the six longest rivers in England; (ii.) the largest town on each of these rivers; and (iii.) describe, as fully as you can, any one of these rivers and towns.

3. Describe the position of the following places, and state what you know about each:-Dunstable, Hammerfest, Havannah, Lima, Mandelay, Omaha, Ostend, Stuttgart, Trincomalee, Yokohama.

4. Where are the Cevennes, Black Forest, Sierra Morena, Mountains of Asturias, Mendip Hills, Dovrefield Mountains, Skiddaw, Vosges, Balkan, the Skaw, Spurn Head, Cape Wrath, Malin Head ?

5. Explain the cause of Tides. How do you account for the occasional recurrence of very high tides ?

6. Mention the provinces included in the Dominion of Canada, with the chief town of each province. What is the Capital of the Dominion?

7. Enumerate the provinces which constitute the Kingdom of Prussia; and state (i.) its boundaries, area, and population; (ii.) the names and courses of four of its principal rivers; (iii.) its manufactures and commerce.

8. State the most Northerly, Southerly, Easterly, and Westerly points respectively of Great Britain, Ireland, and the Continent of Europe.

1. Multiply the sum of the two numbers 407823400, 51300072 by their difference.

2. Multiply twenty-nine pounds nineteen shillings and tenpence three-farthings by a hundred and ninety-two.

3. Find the number of square inches in three fields containing respectively 3 ac. 2 ro. 4 po., 7 ac. 3 ro. 14 po., and 15 ac. 1 ro. 37 po.

5. If 159 articles cost 19s. 101d., find the cost of 161 such articles.

6. Find the value of

11.75 of 8s. O§d. + 7·125 of £3·675 + 11⁄2% of 3d.

7. What will be the cost of paving 3 mi. 5 fur. 30 po. 24 yds. of road at £32 15s. 6d. per mile?

8. Find the number of yards of matting required to cover a room 29 ft. 6 in. long by 18 ft. 4 in. wide, the matting being 20 in. wide.

9. Find the Least Common Multiple of (i.) 24, 32, 60, and 231; (ii.) 39, 20, 6840, and 12,480. 10. Find the compound interest and amount of £4800 for 2 years at 4 per cent.

1. Find the value of

(i.) (axby) + (bx + cy)3,

9a3 + 21a2b3 + 33ab + 286a by ja + b3.

3. Find the L.C.M. of

N2

2

5. Find the continued product of x2 + x √2 + 2, √2 + 2, x2 + ∞ √6 + 2, and

2
x x

22

x √/6 +2.

8. How much tea, worth 2s. per lb., must be mixed with 100 lbs. worth 3s. 6d. per lb., that the mixture may be worth 2s. 6d. per lb ?

Books I.-IV.

1. Write out the first three, the ninth, and the tenth Axioms.

2. From a given point draw a straight line equal to a given straight line.

3. Inscribe an equilateral and equiangular pentagon in a given circle.

4. Show how to trisect a right angle.

5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.

6. The angles in the same segment of a circle are equal to one another.

7. A circle cuts off chords BC, DE respectively from two straight lines which meet in the point a. Prove that the rectangle CA, AB, and EA, AD are equal, enunciating correctly the theorem on which your proof depends.

1 KINGS.

1. What were the limits of the Kingdom of Israel in the time of Solomon, and his chief alliances with foreign princes?

2. What prophets are mentioned in the First Book of Kings, and what events were predicted by each? Give some account of the "Schools of the Prophets."

3. Point out the special sins of Jeroboam and Ahab, and give the characters of Asa, Jehoshaphat, and Obadiah.

4. State what you know, from 1 Kings, of Abiathar, Benaiah, Hadad, Rezon, Zimri, Hiel, Micaiah.

2 KINGS.

1. What kings of Assyria and of Babylon are mentioned in this book, and in what connection with the history of Palestine?

2. How was Jehu appointed and acknowledged king? Describe Jehu's treatment of the worshippers of Baal.

3. What steps did Hezekiah take to destroy idolatry in Judah? How did Josiah fulfil the

prediction concerning himself?

4. State what you know of Ashtoreth, Topheth,

Molech.