3046
THE NEW ZEALAND GAZETTE.
[No. 98

Group III.

(10) to (16). In Languages other than English candidates will be required to show reasonable proficiency in translating from and into the language chosen; to show a knowledge of certain special books; and to answer questions in grammar arising out of the special books. In each language one or more special books will be prescribed from time to time and duly announced. At least one of the passages set for translation from the language shall be taken from a special book so prescribed, and part of the work set for translation into the language shall be based upon the vocabulary and diction of one of such prescribed special books.*

Questions may also be set to test an elementary knowledge of a period in the national or literary history, as may from time to time be specified in the announcement relating to special books.

(17.) Pure Mathematics.—Every candidate must be provided with a ruler graduated in inches and tenths and in centimeters and millimeters, a small set-square, a protractor or scale of chords, compasses with pencil-point, and a fine pencil. Tables of logarithms will be supplied.

(a.) Arithmetic: Contracted and approximate methods of multiplying and dividing numbers, so as to omit all unnecessary figures; use of rough checks, especially with regard to the position of the decimal point; use of such expressions as 1·732 × 10⁴ for 17320, and 1·732 × 10⁻³ for ·001732. Meaning of a common logarithm; use of logarithmic tables of four or five figures. Calculation of numerical values from formulae. Working of problems in practice, interest, &c., by decimals; use of squared paper, and application of graphical methods to arithmetical problems.

A knowledge of the arithmetic and mensuration included in the programme of the Class D examination will be assumed.

(b.) Algebra: Definitions and explanations of algebraical signs and terms; addition, subtraction, multiplication, and division of algebraical quantities, including easy fractions and easy surds (the candidate will not be expected to show skill in the manipulation of complicated formulae, but he may be required to ascertain accurately the numerical value of any quantity or expression given to him); square root; the elementary rules of ratio and proportion; easy equations of a degree not higher than the second, and questions producing such equations; easy arithmetical and geometrical series; graphs of simple algebraic functions within the limits of the foregoing work, and graphical methods of solving equations.

(c.) Geometry: Sections A and B (practical and theoretical geometry) as in the D certificate examination, together with the following:—

SECTION C (PRACTICAL).

To draw a normal to a plane from an external point. Projections of a point on three planes at right angles. Determination of a point by means of its co-ordinates (x, y, z), referred to three rectangular axes and by means of its polar co-ordinates.

Projection of a straight line on a plane making a given angle with it.

Projection of a plane figure on a plane making a given angle with it.

Development of the right prism, and of the right pyramid.

Determination of the surface, the base being a regular polygon, of the right prism and right pyramid.

The provisions relating to special books shall not, until further notice, apply to Maori.