Maths
Set Language
- Introduction
- Set
- Representation of a Set
- Types of Sets
- Set Operations
- Properties of Set Operations
- De Morgan’s Laws
- Application on Cardinality of Sets:
Real Numbers
- Introduction
- Rational Numbers
- Irrational Numbers
- Real Numbers
- Radical Notation
- Surds
- Rationalisation of Surds
- Scientific Notation
Algebra
- Introduction
- Polynomials
- Remainder Theorem
- Algebraic Identities
- Factorisation
- Division of Polynomials
- Greatest Common Divisor (GCD)
- Linear Equation in Two Variables
Geometry
- Introduction
- Types of Angles
- Quadrilaterals
- Parts of a Circle
- Properties of Chords of a Circle
- Cyclic Quadrilaterals
- Practical Geometry
Coordinate Geometry
- Mapping the Plane
- Devising a Coordinate System
- Distance between any Two Points
- The Mid-point of a Line Segment
- Points of Trisection of a Line Segment
- Section Formula
- The Coordinates of the Centroid
Trigonometry
- Introduction
- Trigonometric Ratios of Some Special Angles
- Trigonometric Ratios for Complementary Angles
- Method of using Trigonometric Table
Mensuration
- Introduction
- Heron’s Formula
- Application of Heron’s Formula in Finding Areas of Quadrilaterals
- Surface Area of Cuboid and Cube
- Volume of Cuboid and Cube
Statistics
- Introduction
- Collection of Data
- Measures of Central Tendency
- Arithmetic Mean
- Median
- Mode
Probability
- Introduction
- Basic Ideas
- Classical Approach
- Empirical Approach
- Types of Events
