# CBSE Class 10 Maths Syllabus

The CBSE is the central board that conducts the examinations for all students taking their board exams. Maths is one subject that can be tricky for a lot of students, especially those taking their first board exams. We, at EduSakham, provide the CBSE 10th Maths syllabus in free PDF download so that you can access them as and when you require. We believe in letting students study on their own, and our offerings extend to more than just syllabus papers.

### 1. Real Numbers

- Introduction to Real Numbers
- Euclid's Division Lemma
- The Fundamental Theorem of Arithmetic
- Irrational Numbers – Revision
- Rational Numbers and Their Decimal Expansions – Revision
- Euclid's Division Algorithm
- Theorems to prove a number is irrational
- Theorems on rational numbers
- Some Applications of the Fundamental Theorem of Arithmetic

### 2. Polynomials

- Introduction to Polynomials
- Geometrical Meaning of the Zeroes of a Polynomial
- Relationship between Zeroes and Coefficients of a Polynomial
- Division Algorithm for Polynomials

### 3. Pair of Linear Equations in Two Variables

- Introduction to Pair of Linear equations in two variables
- Pair of Linear Equations in Two Variables
- Graphical Representation of a Pair of Linear Equations
- Graphical Method of Solving Simultaneous Linear Equations
- Algebraic Methods of Solving Simultaneous Linear Equations in Two Variables
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
- Cross-Multiplication Method

- Equations Reducible to a Pair of Linear Equations in Two Variables
- Applications to Word Problems

### 4. Quadratic Equations

- Introduction to Quadratic Equations
- Solution of a Quadratic Equation by Factorization
- Solution of a Quadratic Equation by Completing the Square
- Nature of roots

### 5. Arithmetic Progressions

- Introduction to Arithmetic Progressions
- nth term of an AP
- Sum of First n Terms of an AP

### 6.Triangles

- Introduction to Triangles
- Similar Figures
- Similarity of Triangles and their Properties
- Criteria for Similarity of Triangles
- Areas of Similar Triangles
- Pythagoras Theorem

### 8.Trigonometry

- Introduction to Trigonometry
- Trigonometric Ratios
- Trigonometric ratios of some Specific Angles
- Trigonometric ratios of complementary angles
- Trigonometric identities

### 9.Applications of Trigonometry

- Introduction to Applications of Trigonometry
- Heights and Distances

### 10.Circles

- Introduction to Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle

### 11.Constructions

- Introduction to Constructions
- Division of a Line Segment
- Construction of Tangents to a Circle

### 12.Area Related to Circles

- Introduction to Areas Related to Circles
- Perimeter and Area of a Circle - Review
- Areas of Sector and Segment of a Circle
- Areas of Combinations of Plane Figures

### 13.Surface Areas and Volumes

- Introduction to Surface Areas & Volumes
- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
- Conversion of Solid from One Shape to Another
- Frustum of a Cone

### 14.Statistics

- Introduction to Statistics & Data Handling
- Review of Statistics & Data Handling
- Cumulative Frequency Polygon Curve (An Ogive)
- Frequency Polygon

### 15.Probability

- Introduction to Probability
- Theoretical Approach to Probability