Mathematics

1. Rational and Irrational Numbers

Rational and irrational numbers, their decimal expansions, surds and rationalisation.

2. Compound Interest

Compound interest by successive years and by formula, growth and depreciation.

3. Expansions

Standard algebraic identities and their use in expanding expressions.

4. Factorisation

Factorising algebraic expressions by grouping, by identities and by splitting the middle term.

5. Simultaneous Linear Equations

Solving a pair of linear equations by substitution, elimination and cross multiplication, and related word problems.

6. Indices

Laws of exponents for rational indices and solving exponential equations.

7. Logarithms

Definition of a logarithm, the laws of logarithms, and their use in computation.

8. Triangles

Congruency of triangles and the properties of isosceles triangles.

9. Inequalities

Relations between the sides and angles of a triangle and the triangle inequality.

10. Rectilinear Figures

Properties of quadrilaterals, parallelograms and their constructions.

11. Mid-point Theorem

The mid-point theorem, its converse, and the equal intercept theorem.

12. Pythagoras Theorem

The Pythagoras theorem, its converse and applications.

13. Area Theorems

Figures on the same base and between the same parallels, and equality of areas.

14. Circle

Chord properties of a circle and arcs subtending equal angles.

15. Area and Perimeter of Plane Figures

Area and perimeter of triangles, quadrilaterals and circles.

16. Solids

Surface area and volume of cubes, cuboids and right circular cylinders.

17. Trigonometrical Ratios

Trigonometric ratios of an acute angle and the relations between them.

18. Trigonometrical Ratios of Standard Angles

Values of trigonometric ratios of 0°, 30°, 45°, 60° and 90° and their use.

19. Solution of Right Triangles

Simple two-dimensional problems on right-angled triangles.

20. Coordinate Geometry

The Cartesian plane, plotting points, and graphs of linear equations in two variables.

21. Statistics

Collection and tabulation of data, graphical representation, and mean and median of ungrouped data.