1. Explain what is meant by a map; and define the following terms:-poles, arctic circle, antipodes, solstice, magnetic pole, aurora, crater.

2. Name in order the counties of Ireland on the Irish Sea from Down to Wexford; and mention the seaport towns, if any, that are in each county.

3. With what industries are the following places connected; and where are they situated:-Whitstable, Paisley, Essen, Fahlun, Creuzot, Elberfeld, Xeres, Pittsburg, Lowell, Stoke, Droitwich, Merthyr Tydvil, Coventry, Luton, Crewe ?

4. Give the situation of the following_capes :Nordkyn, S. Vincent, Passaro, Spartivento, Matapan, Verde, Good Hope, Guardafui, Farewell, S. Roque, Horn.

5. How may British imports and exports be classified ?

6. Mention three or four of the largest rivers in the world. What causes affect the direction and speed of a river ?

7. Mention (i.) the names of the political divisions of the British possessions in India, (ii.) the names of the chief districts of India which are not included among the British possessions.

8. State what you know about the Alps, mentioning the countries through which they run, some of the chief divisions, remarkable summits and passes, and the chief rivers that rise among them.

9. Is the length of a degree the same everywhere? if not, where is it the longest?

1. Add together-Four thousand and five pounds; Five hundred pounds five shillings and threepence farthing; Seven million thirty thousand pounds and tenpence; and Fifteen pounds four shillings and three half-pence. Express the amount in words. 2. Divide £34161 17s. 11d. by 2705.

3. How many miles are there in 17,200,786 inches? How many cwts. in 2,749,712 lbs. ?

5. Find the cost of 3 tons 2 cwt. 6 lbs. of sugar

at 21d. a lb.

6. Divide 0096 by 12; and express 7s. 2d. as the decimal of £3 15s. 9d.

7. Find by practice the rent of 30 ac. 3 ro. 26 po. at £2 13s. 4d. per acre.

8. Find the cost of carpeting a room 20 ft. 3 in. long and 13 ft. 6 in. broad at 5s. 4d. per square yd.

9. What do you mean by the Greatest Common Measure of two numbers? Find that of 315 and 798; also of 43962 and 49593.

10. In two years £250 put out to simple interest becomes £302 10s. What is the rate per cent. per annum?

1. Remove the brackets from the expression

{ (a —b) 2 — (c + d)2 + (16bc2d — 2bc — 2cd2) and find its value when a = 5,

b

=

1, c = 3,

3235 by * + 4x2 + 16; and

4

divide the product by x2 + 2x + 4.

3. Find the G.C.M. of 10x3 + x2 4x

and 15x3 x2

4. Extract the square root of

9a2

ax3 + x2

4

5. Express (3-3x2)2 product of five real integral factors.

6. Simplify

(x + a) (x + b) — (y + a) (y + b)

(x − a) (y — b) — (x — b) (y — a)

7. Solve the equations :

2x-(x+27) = 16;

8. A plantation consists of 28 rows of trees, but if each row had contained 21 trees more, the number of rows would have been 21. How many trees are there in the plantation ?

Books I.-IV.

1. Define a point, a plane, the extremities of a superficies, a rectilineal figure, an obtuse-angled triangle, and a diagonal.

2. From the greater of two given straight lines cut off a part equal to the less.

3. If two circles touch each other externally in any point, the straight line which joins their centres shall pass through that point of contact.

4. Prove that the diameters AC, BD, of a parallelogram ABCD, bisect one another, and specify the propositions you employ.

5. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle.

6. Inscribe an equilateral and equiangular hexagon in a given circle.

7. Describe a circle with a given centre, cutting a given circle at the extremities of a diameter.

2 KINGS.

1. What were the chief miracles wrought by Elisha? Are there any in the New Testament which resemble them?

2. Write a short history of Athaliah.

3. Write some particulars of the early part of the reign of Hezekiah.

4. What remarkable events are connected with the names Bethel, Huldah, Samaria?

5. How did Hazael come to the throne of Syria? 6. What mention is made of Isaiah in the Second Book of Kings?

7. Give (without details) the events of the reign of Josiah.

8. Under what circumstances were the following uttered ?

(a) Behold, if the LORD would make windows in heaven, might this thing be?

(b) But, what, is thy servant a dog that he should do this great thing?

(c) Set thine house in order, for thou shalt die and not live.

(d) And I will wipe Jerusalem as a man wipeth a dish.