## CBSE Class 9 Maths Syllabus - Free PDF Download

CBSE Syllabus 2024-25 Class 9: The CBSE Class 9 Maths Syllabus for the examination year 2024-25 has been released by the Central Board of Secondary Education, CBSE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2024-25 CBSE Class 9 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.

The detailed CBSE Class 9 Maths Syllabus for 2024-25 is below.

Academic year:

## CBSE Class 9 Mathematics Revised Syllabus

CBSE Class 9 Mathematics and their Unit wise marks distribution

### CBSE Class 9 Mathematics Course Structure 2024-25 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

I | Number Systems | |

1 | Number Systems | |

II | Algebra | |

2 | Polynomials | |

3 | Linear Equations in Two Variables | |

203 | Algebraic Expressions | |

204 | Algebraic Identities | |

III | Coordinate Geometry | |

4 | Coordinate Geometry | |

IV | Geometry | |

5 | Introduction to Euclid’S Geometry | |

6 | Lines and Angles | |

7 | Triangles | |

8 | Quadrilaterals | |

9 | Circles | |

405 | Area | |

407 | Constructions | |

V | Mensuration | |

10 | Areas - Heron’S Formula | |

11 | Surface Areas and Volumes | |

VI | Statistics and Probability | |

12 | Statistics | |

602 | Probability | |

Total | - |

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## Syllabus

### CBSE Class 9 Mathematics Syllabus for Chapter 1: Number Systems

1 Number Systems

### CBSE Class 9 Mathematics Syllabus for Chapter 2: Algebra

2 Polynomials

- Polynomials
- Polynomials in One Variable
- Zeroes of a Polynomial
- Remainder Theorem
- Factorisation of Polynomials
- Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0.
- Algebraic Identities
( a + b )

^{2}= a^{2}+ 2ab + b^{2}.

3 Linear Equations in Two Variables

203 Algebraic Expressions

- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression

204 Algebraic Identities

- Algebraic Identities
( a + b )

^{2}= a^{2}+ 2ab + b^{2}.

### CBSE Class 9 Mathematics Syllabus for Chapter 3: Coordinate Geometry

4 Coordinate Geometry

- Coordinate Geometry
- To find distance between any two points on an axis.
- To find the distance between two points if the segment joining these points is parallel to any axis in the XY plane.

- Cartesian Coordinate System
- Plotting a Point in the Plane If Its Coordinates Are Given.

### CBSE Class 9 Mathematics Syllabus for Chapter 4: Geometry

5 Introduction to Euclid’S Geometry

6 Lines and Angles

- Introduction to Lines and Angles
- Basic Terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Parallel Lines
- Pairs of Angles
- Parallel Lines and a Transversal
- Lines Parallel to the Same Line
- Angle Sum Property of a Triangle

7 Triangles

- Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Properties of a Triangle
- The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

- Some More Criteria for Congruence of Triangles
- Inequalities in a Triangle

8 Quadrilaterals

- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Another Condition for a Quadrilateral to Be a Parallelogram
- Theorem of Midpoints of Two Sides of a Triangle
- Properties of a Parallelogram
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.

- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.

- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.

- Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection)

- Tests for Parallelogram
- Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram.

- Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram.

- Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram

9 Circles

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Angle Subtended by a Chord at a Point
- Perpendicular from the Centre to a Chord
- Circles Passing Through One, Two, Three Points
- Infinite circles pass through one point.
- Infinite circles pass through two distinct points.
- There is a unique circle passing through three non-collinear points.
- No circle can pass through 3 collinear points.

- Equal Chords and Their Distances from the Centre
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilateral

405 Area

407 Constructions

- Introduction of Constructions
- Basic Constructions
- Some Constructions of Triangles

### CBSE Class 9 Mathematics Syllabus for Chapter 5: Mensuration

10 Areas - Heron’S Formula

- Area of a Triangle
- Area of a Triangle by Heron's Formula
- Collinearity of three points

- Application of Heron’s Formula in Finding Areas of Quadrilaterals

11 Surface Areas and Volumes

- Surface Area of a Cuboid
- Surface Area of a Cube
- Surface Area of Cylinder
- Right Circular Cylinder
- Hollow Cylinder

- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere

- Volume of a Cuboid
- Volume of a Cylinder
- Volume of a Right Circular Cone
- Volume of a Sphere

### CBSE Class 9 Mathematics Syllabus for Chapter 6: Statistics and Probability

12 Statistics

- Concepts of Statistics
- Collecting Data
- Presentation of Data
- Graphical Representation of Data
- Bar graph
- Pie graph
- Histogram

- Measures of Central Tendency
- Mean , Median , Mode
- Quartile , Inter quartile

602 Probability