CBSE Class 10 Mathematics Syllabus 2026-27
The CBSE Class 10 Mathematics syllabus includes the following major units.
Chapter List - Class 10 Maths
1. Real Numbers
- Fundamental Theorem of Arithmetic
Prime Factorisation
- Proof of Irrationality of root 2, root 3, and root 5
2. Polynomials
- Zeroes of Polynomial
- Relationship between Zeros and Coefficients Quadratic Polynomials
- Finding Zeroes Algebraically and Graphically
3. Pair of Linear Equations in Two Variables
- Graphical methods of solving Linear Equations
- Consistent and Inconsistent Equations
- Conditions for the Number of Solutions
- Substitution Method
- Elimination Method
- Word problem based on Linear Equations
4. Quadratic Equations
- Standard form of Quadratic Equations
- Solving by Factorisation
- Quadratic Formulas
- Discriminant and Nature of Roots
- Real-Life Applications of Quadratic Equations
5. Arithmetic Progressions
- Introduction to Arithmetic Progressions (AP)
- Finding the nth Term of an AP
- Sum of the First n terms
- Applications of Arithmetic Progressions
6. Geometry
- Distance Formula
- Section Formula ( Internal Division )
- Finding the Coordinates of a Point
7. Triangles
- Similar Triangles
- Basic Proportionality Theorem (BPT)
- Converse of the Basic Proportionality Theorem
- Criteria For the Similarity of Triangles
- Applications of Similarity Theorems
8. Circles
- Tangent to a Circle
- Tangent Perpendicular to the Radius at the Point of Contact
- Equal Tangents drawn from the an External Point
- Problems Based on Tangents to Circles
9. Introduction to Trigonometry
- Trigonometry Ratios
- Sine, Cosine and Tangent
- Cosecant, Secant and cotangent
- Trigonometric Ratios of 30 degree, 45 degree and 60 degree
- Relationship Between Trigonometric Ratios
10. Trigonometric Identities
- Fundamental Trigonometric Identity
- Application of Trigonometric Expressions
- Simplification of Trigonometric Expressions
11.Applications of Trigonometry : Height and Distances
- Angle of Elevation
- Angle of Depression
- Finding Heights and Distances
- Real-Life Applications of trigonometry
12. Areas Related to Circles
- Area of a Sector
- Area of a Segment
- Area of a Circle
- Circumference of a Circle
- Perimeter and Area of Related Plane Figures
13. Surface Areas and Volumes
- Surface Area of Cubes and Cuboids
- Surface Area of Spheres and Hemispheres
- Surface Area of Cylinders and Cones
- Volume of Solid Shapes
- Surface Areas and Volumes of Combinations of two Solids
14. Statistics
- Mean of Grouped Data
- Direct Method
- Assumed Mean Method
- Step-Deviation Method
- Median of Grouped Data
- Mode of Groped Data
15. Probability
- Classical definition of Probability
- Probability of an Event
- Simple Probability Problems
- Real-Life Applications of Probability
