SYLLABUS

1. Pure Arithmetic : Rational and Irrational Numbers

2. Commercial Mathematics

Compound Interest
(a) Compound interest as a repeated Simple Interest computation with a growing Principal. Use of this in computing Amount over a period of 2 or 3 years.
(b) Use of formula n. Finding CI from the relation CI = A – P.
• Interest compounded half-yearly included.
• Using the formula to find one quantity given different combinations of A, P, r, n, CI and SI; difference between CI and SI
type included. Rate of growth and depreciation.
Note: Paying back in equal installments, being given rate of interest and installment amount, not included.

3. Algebra

(i) Expansions

(ii) Factorisation

(iii) Simultaneous Linear Equations in two variables.

(iv) Indices/ Exponents

(v) Logarithms

4. Geometry

(i) Triangles

(ii) Rectilinear Figures

(iii) Circle:
(a) Chord properties
(b) Arc and chord properties:

5. Statistics

6. Mensuration

7. Trigonometry
(a) Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals.
(b) Trigonometric ratios of standard angles - 0, 30, 45, 60, 90 degrees. Evaluation of an expression involving these ratios.
(c) Simple 2-D problems involving one right-angled triangle.
(d) Concept of trigonometric ratios of complementary angles and their direct application:

8. Coordinate Geometry
Cartesian System, plotting of points in the plane for given coordinates, solving simultaneous linear equations in 2 variables graphically and finding the distance between two points using distance formula.
(a) Dependent and independent variables.
(b) Ordered pairs, coordinates of points and plotting them in the Cartesian plane.
(c) Solution of Simultaneous Linear Equations graphically.
(d) Distance formula.