CBSE Class 9 Maths Syllabus 2023-24 PDF: Maths is a compulsory subject in the CBSE 9th Exam. It is one of the important subjects which have great importance in shaping your career.
With a better base on the 9th Maths, you can easily understand the CBSE 10th Maths and score better marks in the board exam.
Maths is also important if you appear for competitive exams like Olympiad and NTSE.
You will find the complete details of the mark distribution of each unit for the current academic session in the new CBSE 9th Syllabus 2023-24. You should know that the 9th annual paper will be designed based on these marks distribution.
Here we are providing you the complete guide on Syllabus Of Maths Class 9 CBSE 2023-24. You can free download the latest 9th Maths Syllabus PDF.
Table of Contents
CBSE Class 9 Maths Syllabus 2023-24
CBSE Class 9 Maths Syllabus lets you know about various important topics and marking schemes. If you want to study in the Maths Stream in the future, then you should give special attention to the subject.
After completion of the CBSE 9th Maths Syllabus, you will become more familiar with the chapters, marks weightage, and time duration with the latest CBSE Class 9 Maths syllabus.
So, you must know the latest CBSE Syllabus for Class 9 Maths to boost your exam preparation. You can build a strong command over the subject by practicing the exercises daily and clearing the concept of every theorem and problem.
CBSE Class 9 Maths Syllabus has five units. These are,
- Unit 1: Number Systems
- Unit 2: Algebra
- Unit 3: Coordinate Geometry
- Unit 4: Geometry
- Unit 5: Mensuration
- Unit 6: Statistics and Probability
Before directly jumping to the complete guide on CBSE Class 9 Syllabus for Maths, have a look at the units included in Mathematics Syllabus along with the Marks Distribution:
CBSE Class 9 Maths Exam Structure 2023-24
| Units | Unit Name | Marks |
| I | Number Systems | 10 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 04 |
| IV | Geometry | 27 |
| V | Mensuration | 13 |
| VI | Statistics and Probability | 06 |
| Total | 80 |
Unit-Wise New CBSE 9th Maths Syllabus 2023-24
Check unit-wise detailed CBSE Syllabus For Class 9 Maths 2023-24 for the annual exam from below.
Unit I: Number Systems
- Real Numbers
- Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals.
- 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. Explaining 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.
- Definition of nth root of a real number.
- Rationalization (with precise meaning) of real numbers of the type 1/(a+b√x) and 1/(√x+√y) (and their combinations) where x and y are natural number and a and b are integers.
- 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 II: Algebra
- 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.
- Recall of algebraic expressions and identities. Verification of identities:
- (x + y + z)2= x2 + y2 + z2 + 2xy + 2yz + 2zx
- (x ± y)3= x3 ± y3 ± 3xy (x ± y)
- x³ ± y³ = (x ± y) (x² ± xy + y²)
- x3+ y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx) and their use in factorization of 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.
- Linear Equations In Two 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. Prove 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
- 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. Equivalent versions of the fifth postulate. 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.
- Lines And Angles
- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and the converse.
- (Prove) If two lines intersect, vertically opposite angles are equal.
- (Motivate) Lines which are parallel to a given line are parallel.
- 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.
- (Prove) The angles opposite to equal sides of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.
- 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 (motivate) its converse.
- 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 V: Mensuration
- Areas
- Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.
- Surface Areas And Volumes
- Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.
Unit VI: Statistics & Probability
- Statistics
- Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data.
- Probability
- History, Repeated experiments and observed frequency approach to probability.
- Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real-life situations, and from examples used in the chapter on statistics).
CBSE Class 9 Maths Mark Distribution & Question Paper Design 2023-24
The marks distribution & question paper design for every unit in the CBSE Syllabus For Class 9 Maths are tabulated below:
|
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 in a different way. |
19 |
24 |
|
3 |
Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations 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 |
| CBSE Class 9 Maths Syllabus Internal Assessment 20 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 |
Benefits of Completion Of CBSE Class 9 Maths Syllabus 2023-24
You will get tremendous benefits after studying the latest CBSE Class 9 Maths syllabus. The few major benefits of completing of CBSE 9th Maths Syllabus are given below.
CBSE 9th Maths Syllabus will help students to,
- consolidate the Mathematical knowledge and skills acquired at the upper primary stage;
- acquire knowledge and understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols, and underlying processes and skills;
- develop mastery of basic algebraic skills;
- develop drawing skills;
- to develop the ability to think, analyze and articulate logically;
- to develop the necessary skills to work with modern technological devices and mathematical software.
- to develop an interest in the subject by participating in related competitions;
- to acquaint students with different aspects of Mathematics used in daily life;
- to develop an interest in students to study Mathematics as a discipline.
Other Study Materials For CBSE Class 9 Maths
You should have the following study materials along with CBSE Class 9 Maths syllabus to boost your exam preparation.
NCERT Class 9 Maths Books
NCERT 9th Maths Books have covered the latest CBSE Class 9 Maths syllabus 2023-24. After studying all chapters from 9th Maths properly, you can build the depth concept on the subject. It will also help you score better in the 9th final exam.
Below, you can easily download the Chapter-Wise NCERT Class 9 Maths Textbooks PDFs for English & Hindi Medium.
Free Download Chapter-Wise NCERT Class 9 Maths Books PDFs for English Medium
Here you can download the chapter-wise book PDFs based on the latest CBSE Syllabus for Class 9 Maths for free for English Medium.
Free Download Chapter-Wise NCERT Class 9 Maths Books PDFs for Hindi Medium
You can download the chapter-wise book PDFs based on the latest CBSE Syllabus for Class 9 Maths for free for Hindi Medium.
CBSE 9th Maths Sample Question Papers
CBSE Class 9 Maths Sample Papers let you know about the question type ask in the upcoming exam and marking scheme. After solving the Class 9 Maths Sample Papers based on the latest CBSE Class 9 Maths Syllabus, you will have a clear overview of the exam. By solving the Maths Sample Papers at a certain time as prescribed in the exam, you will easily identify your area of conceptual weaknesses.
CBSE 9th Maths Previous Year Papers
CBSE Class 9 Maths Previous Year Papers are other essential exam materials you should possess after CBSE Class 9 Maths Syllabus. After solving the CBSE 9th Maths previous year’s question papers, you will have a clear idea about the exam question pattern and changes of pattern within various years. By practicing multiple questions, you can speed up solving a question in CBSE 9th Maths Exam.
We have covered the detailed guide on CBSE Syllabus For Class 9 Maths 2023-24 PDF. Feel free to ask any questions related to CBSE Class 9 Maths Syllabus in the comment section below.
FAQs Related CBSE Class 9 Maths Syllabus 2023-24
Here you will find the frequently asked questions related CBSE Syllabus for Class 9 Maths.
What are Polynomials? What are its Types?
The term polynomial is a mixture of poly or many, and nomial which means terms. It is ideally an expression that is composed of exponents, variables, and constants. It is proved through equations like addition, multiplication, and subtraction.
Polynomials are of 3 different types and are classified based on the number of terms in them.
The three types of polynomials are:
Monomial,
Binomial,
Trinomial.
These polynomials can be combined using addition, subtraction, multiplication, and division but is never division by a variable. A few examples of Non Polynomials are: 1/x+2, x-3
What are the Properties of a Triangle?
A triangle is a form of a polygon that has there equal sides. Ideally, thy sum of three vertices or sides of a triangle is similar to 180°.
The basic properties of this polygon are –
Property 1: The angle sum of a triangle always combines to form a 180° angle.
Property 2: The sum of the two side’s length of a triangle always remains bigger than the third side.
Property 3: A side that is opposite to the largest angle of a triangle is always the bigger side.
Property 4: According to the triangle’s exterior angle property, the sum of an interior angle, in the opposite, is equal to the exterior angle.
What are Quadrilaterals? Explain Some Types?
In geometry, a quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides.
A quadrilateral is a polygon that has the following properties
Property 1: 4 vertices and 4 sides enclosing 4 angles.
Property 2: The sum of all interior angles of a quadrilateral is 360 degrees.
Property 3: We can also derive the sum of interior angle from the formula of polygon i.e. (n -2) × 180, where n is equal to the number of sides of the polygon
There are six basic types of quadrilaterals. They are:
Trapezium
Parallelogram
Rectangle
Rhombus
Square
Kite
What is the best material to prepare for CBSE Class 9 Maths exam?
NCERT Solution is the best material to prepare for CBSE Class 9 Maths Exam. Apart from the regular textbook problems and their solutions, NCERT Solutions also offer references that cover the understanding of concepts and formulas.