CBSE Class 10 Mathematics Syllabus

There are a total of 15 chapters in the CBSE Class 10 Mathematics syllabus. Each chapter covers different topics and concepts that are essential for students to understand and apply in various mathematical problems. Let's take a closer look at each chapter in detail.

1. Real Numbers:
- Introduction to Euclid's division lemma, Fundamental Theorem of Arithmetic, etc.
- Understanding irrational numbers and their properties.

2. Polynomials:
- Introduction to polynomials and its types.
- Operations on polynomials including addition, subtraction, multiplication, and division.
- Factorization of polynomials.

3. Pair of Linear Equations in Two Variables:
- Solving linear equations in two variables.
- Graphical representation of linear equations.
- Applications of linear equations in real-life situations.

4. Quadratic Equations:
- Introduction to quadratic equations and its types.
- Methods of solving quadratic equations - factorization and using the quadratic formula.
- Applications of quadratic equations.

5. Arithmetic Progressions:
- Introduction to arithmetic progressions (AP) and its terms.
- Formulae for the nth term and sum of the first n terms of an AP.
- Applications of arithmetic progressions.

6. Triangles:
- Properties of triangles and their angles.
- Congruence of triangles and its criteria.
- Similarity of triangles and its criteria.

7. Coordinate Geometry:
- Introduction to the Cartesian coordinate plane.
- Distance formula and section formula.
- Equation of a line and its various forms.

8. Introduction to Trigonometry:
- Trigonometric ratios of complementary angles.
- Trigonometric identities and their applications.
- Heights and distances.

9. Some Applications of Trigonometry:
- Applications of trigonometry in real-life problems.
- Finding the heights and distances using trigonometry.

10. Circles:
- Introduction to circles and its properties.
- Tangents and their properties.
- Construction of tangents to a circle.

11. Constructions:
- Construction of different geometrical shapes using a compass and ruler.
- Constructing tangents to a circle, bisecting angles, etc.

12. Areas Related to Circles:
- Areas of sectors and segments of a circle.
- Areas of combinations of plane figures.

13. Surface Areas and Volumes:
- Surface areas and volumes of various 3D shapes such as cubes, cuboids, cylinders, cones, and spheres.
- Conversion of one shape to another.

14. Statistics:
- Collection, organization, and interpretation of data.
- Measures of central tendency - mean, median, and mode.
- Construction of bar graphs, histograms, and pie charts.

15. Probability:
- Introduction to probability and its basic concepts.
- Calculating the probability of events using different approaches.

These chapters cover a wide range of mathematical concepts and skills required for Class 10 students. It is important for students to study and understand each chapter thoroughly to excel in their mathematics examinations.