It is important that the addition should be quite correct; addiional credit will also be given for rapidity.

SUBJECTS FOR ENGLISH COMPOSITION.

Time allowed, 1 hour.

In this Exercise attention should be paid to handwriting, spelling, punctuation, grammar, and style.

I. Write a short letter to a friend, giving an account of any game
you have ever played.

II. Write a short account of the life and character of Nelson, or of
Henry VIII.

One subject only to be attempted.

ENGLISH GRAMMAR.

Time allowed, 1 hour.

1. Give the plural of the following substantives :-sheep, city, goodness, valley, mouse, house, brother, mother, verse, universe; or, if any of them have no plural, state the reason why they have

not.

2. Give (1) the past tense active, (2) the past participle, of the verbs go, flow, ride, slide, call, fall, dare, bear, sing, fling.

3. Parse fully the following sentence :

"During this period the Romans occupied themselves in making
"roads, of which many are still remaining."

4. Conjugate the verb to see.

5. Distinguish between lie and lay; fled and flew; vale and veil;
force and power; tall and high.

Write short sentences, in each of which one of the words given
above shall be used in its proper sense.

6. Write short sentences showing the various meanings of each of the following words :-light, post, rail, check, board.

7. Analyse the following passage :—

"Political courage, in an officer abroad, is as highly necessary
as military courage."

66

The first four questions should be answered before the others are attempted.

N.B.-In all your exercises attention should be paid to spelling, handwriting, punctuation, grammar, and correctness of expression.

GEOGRAPHY.

Time allowed, 1 hour.

1. On the map of England and Wales mark the names of the chief bays and headlands; of the counties along the coast from Portsmouth to Liverpool, and the chief town of each; trace the course of the Severn, Tees, Trent, Ribble, Eden; and mark the position of Cardiff, Dover, Hull, Grimsby, Gloucester, Taunton, Northampton, Stockton, Oxford.

2. Sketch a map of Scotland as large as your paper will permit, and mark on it the names of the chief bays and headlands, and the position of six great towns.

3. Where are the following places? to whom do they belong, and what do you know about any of them ?-Constantinople, Bombay, Venice, Lyons, New York, Algiers, Dublin, Glasgow, Hamburgh, Seville.

4. Explain fully the meaning of latitude, longitude, equator, estuary, archipelago.

5. Where are Behring's Straits; the Dardanelles; the rivers Po, Tigris; the lakes Huron, Garda; the islands Cuba, Java; the capes Bon, Farewell?

6. Name some of the most remarkable mountains in the world, and describe their position.

N.B.-In all your exercises attention should be paid to spelling, handwriting, punctuation, grammar, and correctness of expression.

1. From 7 ax

2. Multiply-
(a) a
(B) x x + x

3 a

3. Divide

(8)

x

(B) 20 x4

(3) {

x

y

4 x

15 x3

(a) xy by x-y

(B) acx3+(ad be) x2 (ad+bc) x+ bd by axb 4. Reduce the following expressions to their simplest form(a) x2 x + 2y3 y/2

+

y2x2 x + y

x + 1

5 x3 9 x2
20 x2 3 x + 4
5. Solve the following simple equations—
(a) 10 x + 3
x + 6/1/2
3
6 xx y

4 (4-x)
6

=

7

8

(3 a3

ALGEBRA AND EUCLID.

Time allowed, 3 hours.

3 y

2

Y
+ H

2 by am - 6 a

by x + x - x−1

4x2+2) subtract a2 + x2

{ x + y = 11
1 x3 + y2 = 407

+ 5 = 8

6. Solve the following quadratic equations(a) 3 x2

+52 +6 = 0

8

6y-x-3
20

7. Find the sum of 40 terms of the following series—

(a) } + { + 3 + ....

(8) 3 − 1 + 1 - &c.

8. What is the characteristic of a logarithm?

Having given log 2 = *3010300, log,3 = 4771213, find log 24,
log 75, and log // 0144.

6

N.B.-You are recommended to answer, at first, one only of the questions marked (a) and (3) under the different numbers, and afterwards to do all that you have time for.

9. 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. 10. 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. 11. If a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.

12. Describe a square that shall be equal to a given rectilineal figure.
13. If any point be taken in the diameter of a circle, which is not
the centre, of all the straight lines which can be drawn from it
to the circumference, the greatest is that in which the centre
is, and the other part of that diameter is the least; and, of any
others, that which is nearer to the line which passes through
the centre is always greater than one more remote; and from
the same point there can be drawn only two equal straight lines
to the circumference, one upon each side of the diameter.
14. A segment of a circle being given, to describe the circle of which it

is the segment.

15. Upon a given base describe an isosceles triangle equal to a given triangle.

16. A chord PA Q cuts the diameter of a circle in A at an angle which is half a right angle; show that the squares of AP and A Q are together double of the square of the radius.

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APPENDIX IV.

CIVIL SERVICE OF INDIA.

1. Correspondence.

2. Papers set in the Open Competitive Examination, July 1860.

3. Papers set in July 1860, at the "Further Examination" of Candidates selected in 1859.

4. Statistics.