# CBSE CLASS 10 MATHS SYLLABUS

Chapter No | Chapter Name | No of Session (1 Session = 1 Hour) |
---|---|---|

Total Number of Session | 60 | |

Chapter 1 | Real Numbers | 5 |

Chapter 2 | Polynomials | 5 |

Chapter 3 | Pair of Linear Equations in Two Variables | 4 |

Chapter 4 | Quadratic Equations | 3 |

Chapter 5 | Arithmetic Progression | 4 |

Chapter 6 | Triangles | 6 |

Chapter 7 | Coordinate Geometry | 5 |

Chapter 8 | Introduction to Trigonometry | 5 |

Chapter 9 | Some Applications of Trigonometry | 3 |

Chapter 10 | Circles | 5 |

Chapter 11 | Constructions | 1 |

Chapter 12 | Area Related to Circles | 4 |

Chapter 13 | Surface Areas and Volumes | 4 |

Chapter 14 | Statistics | 3 |

Chapter 15 | Probability | 3 |

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## Chapter 1: Real Number

You Will Learn About

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 is Irrational Number

1.9 Rational Number and its Decimal Expansion

1.10 Terminating and Non-Terminating Decimals

## Chapter 2: Polynomials

You Will Learn About

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

2.6 Graph of Quadratic 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

You Will Learn About

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

## Chapter 4: Quadratic Equation

You Will Learn About

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

4.4 Solution of Quadratic Equation by Quadratic Formula

4.5 Nature of the Roots of Quadratic Equation

## Chapter 5: Arithmetic Progression

You Will Learn About

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 *n*th Term of an AP from Start and Last

5.5 Sum of n Terms of an AP

5.6 Arithmetic Mean

## Chapter 6: Triangle

You Will Learn About

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

You Will Learn About

7.1 Distance Formula

7.2 Section Formula

7.3 Mid Point Formula

7.4 Area of Triangle

## Chapter 8: Trigonometry

You Will Learn About

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

You Will Learn About

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

You Will Learn About

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

You Will Learn About

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

You Will Learn About

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

You Will Learn About

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

You Will Learn About

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

## Chapter 15: Probability

You Will Learn About

15.1 Theoretical or Classical Probability

15.2 Sum of Probability of Occurrence and Non-Occurrence Event

15.3 Types of Events

15.4 Odd In Favor and Odd Against of an Event

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