**The Central Board of Secondary Education (CBSE) has released the official syllabus for class 9th Maths in a downloadable PDF format. Check the CBSE Class 9 maths syllabus in the article.**

## CBSE Class 9th Maths syllabus

CBSE class 9th Maths syllabus is slightly more difficult than the lower classes. In order to get good marks in class 9th maths subject students must need to understand the maths syllabus. Each chapter of mathematics is carefully designed to build upon the previous one, supporting a comprehensive understanding of the subject. The syllabus includes number system, algebra, geometry, coordinate system, linear equations into variables etc. Mathematics is a practical subject. If you Solve a variety of problems you can boost your understanding and develop problem-solving skills. Mathematics is a subject that often brings a mix of excitement among students. As you step into the world of class 9th, this is the time to enhance the beauty of numbers, shapes and equations.

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## Class 9th Maths Syllabus 2023-2024

Maths is one of the highest-scoring subjects. If students know the concept well they can easily score high marks. But for this students must have to go through the class 9th Maths syllabus and solve all the questions that are provided in the maths textbook. Students must know the correct syllabus from the beginning of session 2023-2024. So that you can prepare well in advance to get Excel marks in your examination. The syllabus of Maths class 9 starts with a very easy chapter which is the number system.

In the number system, you have to cover real numbers, The next chapter is algebra in which you have to cover polynomials and linear equations in two variables. 3rd chapter is coordinate geometry. For chapter is geometry in which you have to cover the introduction to Euclid geometry, lines and angles, triangles, and quadrilaterals. And circle. The next chapter is menstruation in which you have to cover areas, surface areas and volumes. The last chapter is statistics.

## CBSE Class 9th Maths Syllabus Download PDF

Downloading the class 9th Maths syllabus PDF is a crucial step to get an overview of the entire course. It helps you to understand the chapters that you will be covering throughout the academic year 2023-2024. Having the syllabus allows you to plan your studies and manage your time efficiently.

**Class 9th Maths Syllabus – Download now**

## Maths Syllabus Class 9th Course Structure

Units | Unit Name | Marks |

1 | Number systems | 10 |

2 | Algebra | 20 |

3 | Coordinate geometry | 04 |

4 | Geometry | 27 |

5 | Mensuration | 13 |

6 | Statistics | 06 |

Total | 80 |

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## Class 9th Maths syllabus 2023 – 2024 Unit Wise

### Unit- Number System

##### 1. Number System

- Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers
- Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2. √3, and their representation on the number line.
- Rationalization (with precise meaning) of real numbers of the type 1/√x+√y and 1/a+b√x (and their combinations) where x and y are natural numbers and a and b are integer.
- Recall of laws of exponents with integral powers. Rational exponents with positive real bases

(to be done by particular cases, allowing learner to arrive at the general laws.)

### Unit- Algebra

##### 1. Polynomials

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and

multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.

##### 2. Linear Equations into variables

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax +by+c=0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

### Unit- Coordinate Geometry

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

### Unit- Geometry

##### 1. Introduction to Euclid’s Geometry-

- History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example:

(Axiom) 1. Given two distinct points, there exists one and only one line through them.

(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common

##### 2. Lines and Angles

- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O

and the converse. - (Prove) If two lines intersect, vertically opposite angles are equal.
- (Motivate) Lines which are parallel to a given line are parallel.

##### 3. Triangles

- (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
- (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
- (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
- (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
- (Prove) The angles opposite to equal sides of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.

##### 4. Quadrilaterals

- (Prove) The diagonal divides a parallelogram into two congruent triangles.
- (Motivate) In a parallelogram opposite sides are equal, and conversely.
- (Motivate) In a parallelogram opposite angles are equal, and conversely.
- (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
- (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
- (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

##### 5. Circles

- (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
- (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
- (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely
- (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle
- (Motivate) Angles in the same segment of a circle are equal.
- (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
- (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180°

and its converse.

### Unit- Mensuration

##### 1. Areas

- Area of a triangle using Heron’s formula (without proof).

2. Surface areas and volumes

- Surface areas and volumes of spheres (including hemispheres) and right circular cones.

### Unit- Statistics and Probability

##### 1. Statistics

- Bar graphs, histograms (with varying base lengths), and frequency polygons.

## CBSE Class 9th Maths Syllabus Internal Assessment 2022-2023

Assessment Type |
Marks |

Pen paper test and multiple assessment (5+5) | 10 |

Protofolio | 05 |

Lab practical (lab activities) | 05 |

Total |
20 |

## Frequently Asked Questions

**What are the major tropics cover in the class 9 CBSE Maths syllabus in** **2023**?

The class 9 maths syllabus includes topic such as number systems, polynomials, coordinate geometry, Linear Equations, triangles etc.

**What are the new change in class 9th Maths syllabus for 2023?**There is no change of syllabus in 2023 from the previous year.

**Are there any recommended books or resources for class 9th math preparation?**Yes, the NCERT textbook recommended for class 9 math, you can referred to supplementary books for extra practices.

**How can I improve my problem solving skill in maths?**Regular practice is key. Start with the easier problems and gradually move to more Complex one. Breakdown problems into smaller strip and underlying concepts.