# CBSE CLASS 10 MATHS SYLLABUS

Chapter NoChapter Name No of Session (1 Session = 1 Hour)
Total Number of Session60
Chapter 1Real Numbers5
Chapter 2Polynomials5
Chapter 3Pair of Linear Equations in Two Variables4
Chapter 5Arithmetic Progression4
Chapter 6Triangles6
Chapter 7Coordinate Geometry5
Chapter 8Introduction to Trigonometry5
Chapter 9Some Applications of Trigonometry3
Chapter 10Circles5
Chapter 11Constructions1
Chapter 12Area Related to Circles4
Chapter 13Surface Areas and Volumes4
Chapter 14Statistics3
Chapter 15Probability3

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## Chapter 1: Real Number

1.1 Introduction to Real Number

1.2 Euclid’s Division Lemma

1.3 Difference Between Algorithm and Lemma

1.4 Euclid Division Algorithm to Find HCF

1.5 Fundamental Theorem of Arithmetic

1.6 Relation Between HCF and LCM

1.7 Introduction to Irrational Number

1.8 Proving $\sqrt{x}$ is Irrational Number

1.9 Rational Number and its Decimal Expansion

1.10 Terminating and Non-Terminating Decimals

## Chapter 2: Polynomials

2.1 Introduction of Polynomials

2.2 Degree of Polynomials

2.3 Types of Polynomials

2.4 Value of a Polynomial at a x = k

2.5 Zeros of a Polynomial

2.7 Relationship Between Zeroes and Coefficients of Quadratic Polynomial

2.8 Relationship Between Zeroes and Coefficients of Cubic Polynomial

2.9 Division Algorithm for Polynomials

## Chapter 3: Pair of Linear Equation in Two Variables

3.1 General Form of Pair of Linear Equation in Two Variables

3.2 Checking The Number of Solution of Pair Linear Equation in Two Variables

3.3 Graphical Method of Solution of Pair of Linear Equation in Two Variables

3.4 Substitution Method of Solution of Pair of Linear Equation in Two Variables

3.5 Elimination Method of Solution of Pair of Linear Equation in Two Variables

3.6 Cross-Multiplication Method of Solution of Pair of Linear Equation in Two Variables

3.7 Reducible Linear Equation of Two Variables

4.1 Introduction to Standard Form of Quadratic Equation

4.2 Solution of Quadratic Equation by Factorization

4.3 Solution of Quadratic Equation by Completing the Square

4.5 Nature of the Roots of Quadratic Equation

## Chapter 5: Arithmetic Progression

5.1 Introduction of Sequence, Progression and Series

5.2 Definition of Arithmetic Progression and its Related Terms

5.3 General Form of Arithmetic Progression (AP)

5.4 nth Term of an AP from Start and Last

5.5 Sum of n Terms of an AP

5.6 Arithmetic Mean

## Chapter 6: Triangle

6.1 Introduction of Similar Figures

6.2 Basic Proportionality Theorem (Theles Theorem)

6.3 Similar Triangle Definition

6.4 Criteria for Similarity of Triangles: SAS, AA, SSS, RHS

6.5 Area of Similar Triangles

6.6 Pythagoras Theorem

## Chapter 7: Coordinate Geometry

7.1 Distance Formula

7.2 Section Formula

7.3 Mid Point Formula

7.4 Area of Triangle

## Chapter 8: Trigonometry

8.1 Introduction to Trigonometry

8.2 Definition of Trigonometric Ratios

8.3 Trigonometric Ratios for Specific Angles

8.4 Trigonometric Ratios for Complementary Angles

8.5 Trigonometrical Identities

## Chapter 9: Application of Trigonometry

9.1 Introduction of Angle of Elevation and Depression

9.2 Drawing the Rough Sketch of Given Situation

9.3 Using Trigonometry in the Sketch

## Chapter 10: Circles

10.1 Introduction to Tangent and Secant

10.2 Theorem related to Tangent to the Circle

10.3 Number of Tangent from a Point to the Circle

## Chapter 11: Construction

11.1 Division of Line Segment

11.2 Construction of Similar Triangle

11.3 Construction of Tangents to Circle

## Chapter 12: Area Related to Circle

12.1 Perimeter and Area of Circle

12.2 Area of Sector and Segment

12.3 Area of Combination of Plane Figures

## Chapter 13: Surface Area and Volumes

13.1 Surface Area and Volume of Cuboid, Cube, Cylinder Cone, Sphere

13.2 Surface Area and Volume of Combination of Solids

13.3 Conversion of Solids from One Shape to Other Shape

13.4 Frustum of Cones

## Chapter 14: Statistics

14.1 Mean, Median, Mode of Ungrouped Data

14.2 Mean of Grouped Data by Direct Method

14.3 Mean of Grouped Data by Step Deviation Method

14.4 Mean of Grouped Data by Short Method

14.5 Median of Grouped Data

14.6 More Than and Less Than Ogive

14.7 Mode of Grouped Data