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# CBSE Class 9 Maths Syllabus 2024-25: Updated Curriculum

Last updated date: 15th Sep 2024
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The Class 9 Maths Syllabus for the 2024-25 academic session has been released by the CBSE board. Students must familiarise themselves with the CBSE Syllabus for Class 9 Maths as it will help them prepare a proper study plan. Vedantu provides Class 9 Maths Syllabus 2024-25 PDF for the reference of students.. To perform well in the tests and annual exams, students must thoroughly analyse the CBSE 9th Class Maths Syllabus and make sure they devote time to each topic covered in the syllabus accordingly.

Table of Content
2. New Updations of Class 9 Maths Syllabus 2024-25
3. CBSE Maths 9th Class Syllabus: Course Structure
3.1Unit I - Number Systems
3.2Unit II - Algebra
3.3Unit III - Coordinate Geometry
3.4Unit IV - Geometry
3.5Unit V - Mensuration
3.6Unit VI - Statistics & Probability
4. Mathematics Question Paper Design Class – IX (2024-25)
5. Marking Scheme for Internal Assessment
6. Deleted Syllabus of Class 9 Maths Exercise wise
7. Prescribed Books:
9. Tips to Prepare for Class 9th Maths Exam
10. Related Topic Pages for Maths Class 9
11. Related Study Materials for Class 9 Maths
FAQs

Students can check and download the revised CBSE Class 9 syllabus and complete the curriculum here. In addition to the details of the course content, students can also check the question paper design and evaluation scheme.

## New Updations of Class 9 Maths Syllabus 2024-25

The following Chapters are removed from CBSE Class 9th Maths Syllabus 2024-25. The detailed Deleted Syllabus Of Class 9 Maths Exercise Wise is given in the Class 9 Maths Syllabus 2024-25 PDF

• Areas of Parallelogram and Triangles

• Construction

• Probability

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## CBSE Maths 9th Class Syllabus: Course Structure

 UNIT No UNIT NAME MARKS I Number Systems 10 II Algebra 20 III Coordinate Geometry 4 IV Geometry 27 V Mensuration 13 VI Statistics & Probability 6 TOTAL 80

### Unit I - Number Systems

#### 1. REAL NUMBERS

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as, $\sqrt{2}$, $\sqrt{3}$ and their representation on the number line. This explains that every real number is represented by a unique point on the number line, and conversely, every point on the number line represents a unique real number.

3. Definition of the nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type $\frac{1}{a + b\sqrt{x}}$ and $\frac{1}{\sqrt{x} +\sqrt{y}}$ and their combinations) where x and y are natural numbers and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)

### Unit II - 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. Factorisation of $ax^{2}+bx+c, a\neq 0$ where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.

Recall of algebraic expressions and identities. Verification of identities:

$\left ( x+y+z \right )^{2}=x^{2}+y^{2}+z^{2}+2xy+2yz+2zx$

$\left ( x\pm y \right )^{3}=x^{3}\pm y^{3}\pm 3xy(x \pm y)$

$x^{3} \pm y^{3}=(x \pm y)(x^{2} \mp xy+y^{2})$

$x^{3}+y^{3}+z^{3}-3xyz=(x+y+z)(x^{2}+y^{2}+z^{2}-xy-yz-zx)$

and their use in the factorisation of polynomials.

#### 2. LINEAR EQUATIONS IN TWO VARIABLE

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 III - Coordinate Geometry

#### COORDINATE GEOMETRY

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

### Unit IV - Geometry

#### 1. INTRODUCTION TO EUCLID'S GEOMETRY

History - Geometry in India and Euclid's geometry. Euclid's method of formalising observed phenomena into rigorous mathematics includes 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, one and only one line exists through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.

#### 2. LINES AND ANGLES

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180˚ and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.

#### 3. TRIANGLES

1. (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).

2. (Motivate) Two triangles are congruent if any two angles and the included side of one triangle are equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to the three sides of the other triangle (SSS Congruence).

4. (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)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram, opposite sides are equal and conversely.

3. (Motivate) In a parallelogram, opposite angles are equal and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and in half of it and (motivate) its converse.

#### CIRCLES

1. (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse.

2. (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord, and conversely, the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their respective centres) and conversely.

4. (Prove) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends an equal angle at two other points on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

### Unit V - 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 VI - Statistics & Probability

#### STATISTICS

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

## Mathematics Question Paper Design Class – IX (2024-25)

 S. No. Typology of Questions Total Marks % Weightage (approx.) 1. Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas 43 54 2. Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules differently. 19 24 3. Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalisations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions 18 22 Total 80 100

## Marking Scheme for Internal Assessment

 Internal Assessment Marks Pen Paper Test and Multiple Assessment (5+5) 10 Marks Portfolio 05 Marks Lab Practical (Lab activities to be done from the prescribed books) 05 Marks Total 20 Marks

## Deleted Syllabus of Class 9 Maths Exercise wise

 Chapter Deleted Topic Page Number Chapter 1 Number Systems 1.4 Representing real numbers on the number line 15-18, 27 Chapter 2 Polynomials 2.4 Remainder Theorem 35-40, 50 Chapter 3 Coordinate Geometry 3.3 Plotting a point in the plane if its coordinates are given 61-65 Chapter 4 Linear Equations 4.4 Graph of linear equations in two variables 70-75 4.5 Equations of Lines Parallel – x axis and y axis 75-77 Chapter 5 Introduction To Euclid’s Geometry 5.3 Equivalent versions of Euclid’s fifth postulate 86-88 Chapter 6 Lines and Angles 6.5 Parallel lines and a transversal 98-100 6.7 Angle Sum Property of a Triangle 103-105, 108 Chapter 7 Triangles 7.6 Inequalities in Triangle 129-134 Chapter 8 Quadrilaterals 8.1 Introduction to Quadrilaterals 135-138 8.2 Angle Sum Property 145-147 8.3 Types of Quadrilaterals 151 8.5 Another Condition for a Quadrilateral – be a Parallelogram 151 Chapter 9 Areas of Parallelograms and Triangles Full Chapter 152-167 Chapter 10 Circles 10.1 Introduction to Circles 168 10.2 Circles and it’s Related Terms 169-171 Review Circles Through Three Points 174-176, 186-187 Chapter 11 Construction Full Chapter 188-196 Chapter 12 Heron’s Formula 12.1 Introduction to Heron’s Formula 197-199 12.3 Applications of Heron’s Formula 203-207 Chapter 13 Surface Area & Volume 13.1 Introduction to Surface Area and Volume 13.2 Surface Area of a Cuboid and Cube 208-217 13.3 Surface Area of Right Circular Cylinder 226-231 13.6 Volume of cuboid, 13.7 Volume of cylinder 236-237 Chapter 14 Statistics 14.1 Introduction to Statistics, 14.2 Collection of Data, 14.3 Presentation of Data, 14.5 Measure of Central Tendency 238-246 261-270 Chapter 15 Probability Full Chapter 271-285

## Prescribed Books:

• Class 9 Maths Syllabus 2024-25 helps to understand what topics will be covered in math throughout the year.

• It outlines a structured learning path, making planning studies and tracking progress easier.

• Knowing the syllabus in advance allows students to prepare thoroughly for exams and assignments.

• It helps gather relevant study materials and resources aligned with the curriculum.

• Ensures that teaching and learning activities are aligned with CBSE standards, enhancing academic performance.

• It enables parents to support their child's learning by knowing what concepts and skills will be taught.

## Tips to Prepare for Class 9th Maths Exam

• Focus on thoroughly understanding the basic concepts. Ensure you understand fractions, decimals, geometry, and algebraic expressions.

• Practise regularly to improve your understanding. Solve problems from your textbook, worksheets, and previous years' question papers.

• Create a study schedule that includes regular maths sessions. Break down your study time into manageable sections to cover different topics.

• Use diagrams, charts, and tables to understand and remember geometrical shapes, theorems, and problem-solving methods.

• Learn and practise problem-solving strategies, such as drawing diagrams, making tables, and using logical reasoning.

• Review what you've learned regularly and revise key concepts. Make summary notes or flashcards for quick revision before exams.

• Improve your mental arithmetic skills by practising calculations mentally. This can help speed up problem-solving during exams.

The Class 9 Maths Syllabus 2024-25 provides a clear overview for students to build a strong foundation in mathematical concepts. By understanding these topics, students can improve their problem-solving abilities, prepare effectively for exams, and learn maths concepts better. This syllabus helps teachers and students work together for academic success throughout the year.

## Related Topic Pages for Maths Class 9

 Sr.No Related Important Topics Pages for Class 9 Maths 1. Class 9 Maths Geometry 2. Class 9 Maths Trigonometry Functions 3. Class 9 Maths Mensuration

## Related Study Materials for Class 9 Maths

To complete Maths preparation for CBSE Class 9 exams, check out the following links for different study materials available at Vedantu.

 Sr. No Important Study Materials for Class 9 Maths 1. Class 9 Maths Important Questions 2. Class 9 Maths CBSE Sample Paper 4. Class 9 Maths NCERT Exemplar 5. Class 9 Maths RS Aggarwal 6. Class 9 Maths NCERT Solutions 7. Class 9 Maths Revision Notes

## FAQs on CBSE Class 9 Maths Syllabus 2024-25: Updated Curriculum

1. How many classes have been devoted for each unit according to Class 9 Maths syllabus provided by CBSE?

The distribution of classes for each unit of Class 9th Maths syllabus (CBSE Board) is tabulated below:

 Unit No. of Classes Unit I: Real Numbers 18 Unit II: Algebra 42 Unit III: Coordinate geometry 7 Unit IV: Geometry 74 Unit VI: Mensuration 22 Unit VII: Statistics 15

2. What is the importance of knowing CBSE Class 9 Maths syllabus?

It is very important for a Class 9th student to know the maths syllabus designed by CBSE well in advance. Knowing the syllabus of maths can help the students in the following ways:

1. In preparing a study plan for examinations.

2. Pattern and distribution of marks.

3. Overview of important topics that should be given special importance.

4. Track topics that are still left to study.

5. Help them be confident during exams.

3. Which chapters are removed from Class 9 Maths Syllabus 2024-25?

The following Chapters are removed from Class 9 Maths Syllabus 2024-25.

• Areas of Parallelogram and Triangles

• Construction

• Probability

4. What are the main topics covered in the CBSE Class 9 Maths syllabus for 2024-25?

The syllabus includes topics such as Number Systems, Polynomials, Coordinate Geometry, linear equations in Two Variables, an Introduction to Euclid's Geometry, Lines and Angles, Triangles, Quadrilaterals, Circles, Heron's Formula, Surface Areas and Volumes, and Statistics.

5. How can students prepare effectively for the CBSE Class 9 Maths exam?

Students should thoroughly understand the concepts, practice regularly from the NCERT textbook, solve sample papers, and take periodic tests to assess their understanding and improve time management.

6. What is the importance of the CBSE Class 9 Maths syllabus in higher classes?

The Class 9 Maths syllabus lays the foundation for Class 10 and higher secondary classes. Understanding these concepts is crucial for advanced studies in mathematics and related fields.

7. Is there any internal assessment in CBSE Class 9 Maths?

The internal assessment includes periodic tests, notebook submissions, and subject enrichment activities, which collectively contribute to the final grade.