The degree of Mathematical attainment exhibited on the present occasion appears to be somewhat less than in July last; but it is satisfactory to observe that the rule now introduced for the first time, by which no Candidate can count his marks in the voluntary portion of this subject unless he has gained one-sixth of the maximum number allotted to it, has had the effect of reducing the number of papers showing a very limited knowlege of Section II. and of Mixed Mathematics; while it has also improved the answers of those Candidates who are fairly prepared in this branch.

Canon Heaviside, however, thinks that not much improvement has taken place in the study of the Differential and Integral Calculus.

One of the Classical Examiners speaks more favourably than the other of the proficiency shown in Latin; but this may be partly accounted for by the difference between their Examination papers, in one of which the passages for translation were selected from prose authors, in the other from Virgil and Horace. The Rev. Mr. Gordon again complains of the manner in which the latter author is translated.

The Examiners are apparently satisfied with a few of the best of the Greek papers, but state that the language has been comparatively neglected by the majority of those who take it up, and agree in condemning the attempts at composition.

The Examiners in the English Language, and in History and Geography, are able, on the whole, to speak with satisfaction of the work done in these subjects-observing that there is a creditable absence of blunders in History, and that some of the maps sent up are deserving of great commendation.

In French less praise is awarded by the Examiners, who urge that insufficient time is given to the study of this language, and that the exercise of Writing from Dictation is sadly neglected in most English schools.

The elementary questions in the German Grammar are said to be answered very fairly, but the study of this important part of the subject does not, in most cases, extend far enough. The handwriting is also complained of. The Council observe that the number of Candidates who take up the German language is steadily decreasing.

In Experimental Sciences, one of the Examiners, Mr. Abel, states that the result of this Examination is satisfactory, and above the average; but Professor Liveing considers that the Candidates require more catechetical instruction.

In respect to the Natural Sciences, a favourable report is made by the Examiners; but the number of Candidates examined is very small.

In Geometrical Drawing, the Council observe that nine Candidates have failed to attain the very moderate qualification required.

The Rev. Mr. Kingsley is satisfied with the work produced in Free-hand Drawing, although, owing to the foggy state of the weather, it was necessarily executed by gaslight. He recommends, however, more practice in Drawing from Memory.

In respect to Hindustani, there is nothing calling for remark.

The exigencies of the Service requiring considerable addition to the strength of the Royal Military Academy, His Royal Highness decided upon the admission of fiftysix of the Candidates; and it being necessary for educational purposes to make an even distribution of the num

bers, the Candidates received notice from the Council, at the desire of the Lieutenant-Governor, that an Examination would be held about the end of March, for promotion from the 5th to the 4th Class, by which the opportunity would be afforded, to acertain number, of obtaining Commissions in four Terms.

(Signed)

W. C. E. NAPIER, Major-General,
Vice-President.

F. ABBOTT, Major-General.

HENRY MOSELEY.

E. H. F. POCKLINGTON, Colonel.
E. B. HAMLEY, Colonel.

13, Great George Street, S. W.,

January 30, 1868.

EXAMINATION PAPERS.

JANUARY 1868.

GEOMETRICAL DRAWING.

LIEUTENANT-COLONEL SCOTT, R.E.

[The whole of the problems are to be inked in, the construction being shown by dotted lines without written explanations.]

1. Draw a line AB 3 inches long, and through a point C 1 inch from it, draw another line 3 inches long parallel to it.

2. Construct a triangle whose sides are as 4, 5, and 6, and their sum 8 inches, and to a straight line 1 inch long apply a parallelogram equal to this triangle, and having one of its angles equal to 75°

3. Construct a rectilineal figure ABCD, having the sides AB and AD equal to 2 inches each, and BC and DC each equal to 24 inches, the angle BAD being equal to 70°. Describe a square equal to the figure ABCD.

4. Describe a circle of 14 inches radius, and from a point 4 inches from its centre draw a straight line touching the circle.

5. Describe a circle of 1 inches radius, and construct a triangle with its apex in the circumference and with its base 2 inches long subtending a portion

of the circumference. Find the value of the arc so subtended with your protractor, and write it down in neat print hand.

inches and Draw also its inscribed

6. Draw a triangle having one angle equal to 58°, and the sides containing this angle 2 34 inches long respectively. and circumscribing circles.

7. Draw an equilateral and equiangular pentagon of 11 inches side, and in it inscribe a circle.

8. Construct a polygon ABC.... F from the following conditions:

The side AB=2 inches, and AF=1.75 inches,
The diagonal AC=3 inches,

Write down the magnitudes of the sides not given, and of the angles AFE and FED, in neat print hand.

FREE-HAND DRAWING.

REV. W. KINGSLEY, B.D.

[N.B.-The Drawing must be entirely free-hand; no instrument or mechanical aid of any kind whatever is allowed.

The paper supplied must not be torn, nor must any other be used, and the Drawing must be executed on only one side of the paper.

In Question 1 the outline must be firm and even.

The bamboo is to be placed with the side downwards