Table of Contents
1. Number System
Natural, Whole, Integers, Rational, Irrational Numbers
Prime Factorization
Laws of Exponents
Decimal and Fraction Operations
LCM and HCF
2. Algebra
Algebraic Expressions and Identities
Linear Equations in One Variable
Factorization
Polynomials
Quadratic Equations (Class 10)
Arithmetic Progression
3. Geometry
Lines and Angles
Triangles and Congruence
Quadrilaterals and Circles
Constructions (using compass and scale)
Coordinate Geometry
Theorems and Proofs (Class 9–10)
4. Mensuration
Perimeter and Area (2D figures)
Surface Area and Volume (3D figures)
Cubes, Cuboids, Cylinders, Cones, Spheres
Conversion of Units
Practical Geometry Applications
5. Statistics & Probability
Mean, Median, Mode
Bar Graphs, Pie Charts, Histograms
Probability (basic concepts)
Data Interpretation
Frequency Tables
6. Commercial Mathematics
Profit, Loss, Discount
Simple and Compound Interest
Ratio and Proportion
Percentage
Time, Speed and Distance
Time and Work
7. Trigonometry (Class 10)
Trigonometric Ratios
Heights and Distances
Applications in Real Life
Tables and Values
8. Mathematical Reasoning
Patterns and Sequences
Logical Puzzles
Venn Diagrams
Basic Set Theory
Statements and Conclusions
