♦ Linear Equation in One Variable

♦ Linear Equation in Two Variables

♦ Simultaneous Equations in Two and Three Variables

♦ Forming Simultaneous Equations

♦ Quadratic Equation in One Variable

♦ Methods of Solving a Quadratic Equation, such as

(a) Factorization, (b) Technique of Completing Square,

(c) Use of the Formula

♦ Discriminant and Nature of the Roots of a Quadratic Equation

♦ Equations of Higher Degree and Solving the Same, When One Root is Given/Known. Use of Synthetic Division

♦ Concept of Inequality, Types of Inequality such as <, >, £, ³

♦ Simple Rules Related to Inequality such as

–Adding same Quantity to Both Sides doesn’t alter Inequality

–Subtracting same Quantity from Both Sides doesn’t alter Inequality

–Multiplying Both Sides by same Positive Quantity doesn’t alter Inequality

–Dividing Both Sides by same Positive Quantity doesn’t alter Inequality

–Multiplication or Division by Negative Quantities alter Inequality

[The problems to be asked should be of varied levels of difficulty. A few ones based on directly applying a given formula may be asked at the beginning; however, the latter ones should demand critical analysis of the given information and a thoughtful selection of the method/formula to solve the same.]

1. Permutations and Combinations 

♦ The Idea of Permutations and Combinations

♦ The Factorial Notation and Formulae for P (n, r) and C (n, r)

♦ The Concept and Definition of Probability

♦ The Addition Rule in Probability

♦ The Multiplication Rule (in Case of Independent Events) in Probability

♦ Formulae for the Area and Perimeter of Various Standard Geometric Shapes, such as Triangles and Quadrilaterals

♦ Using Area of Triangle to obtain Areas of Non-standard Shape

♦ Relation of Internal/External Angle and the Number of Sides of a Regular Polygon

♦ Circumference and Area of a Circle