The Central Board of Secondary Education, CBSE, has issued the Class 9 Maths Syllabus 2024–25, which is similar to the CBSE 2023–24 Syllabus. Since the new academic year has begun, students should start preparing right away so that they won’t be overwhelmed at the last minute.
This article contains in-depth information about the class 9 CBSE Maths Syllabus that may be used to get ready for the CBSE Board Exam. Additionally, you can make use of the most updated CBSE BOOKS to ace your Maths board exam.
Check the full syllabus – CBSE Syllabus for Class 9 (2024-25)
CBSE Class 9 Maths Syllabus 2024-25
Students can see the latest released CBSE Class 9 Maths Syllabus 2024-25 below.
Units | Unit Name | Marks |
---|---|---|
I | NUMBER SYSTEMS | 10 |
II | ALGEBRA | 20 |
III | COORDINATE GEOMETRY | 04 |
IV | GEOMETRY | 27 |
V | MENSURATION | 13 |
VI | STATISTICS | 06 |
TOTAL | 80 |
UNIT I: NUMBER SYSTEMS
Real Numbers
- 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. Explaining that every real number is represented by a unique point on the number line and conversely, viz. 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 and (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
Ploynomials
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: and their use in factorization of polynomials.
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
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
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. 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
1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180o and the converse.
2. (Prove) If two lines intersect, vertically opposite angles are equal.
3. (Motivate) Lines which are parallel to a given line are parallel.
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. (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).
3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to 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.
Quadrilaterals
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 mid points 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 center and (motivate) its converse.
2.(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.
3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
4.(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.
5.(Motivate) Angles in the same segment of a circle are equal.
6.(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.
7. (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)
Surface Areas and Volumes
Surface areas and volumes of spheres (including hemispheres) and right circular cones.
UNIT VI: STATISTICS
Bar graphs, histograms (with varying base lengths), and frequency polygons.
CBSE Books for Class 9 – For 2024-25 Board Exams
When it comes to the most-trusted and authentic study materials and supplementary books, MTG comes into the mind of most of the students, parents, and teachers. We are entrusted with offering the Best CBSE books for 2024-25 session that offer a strong foundation for a lot of competitive exams such as Olympiads, NTSE, and other competitive exams. Go through some of those books:
NCERT at your Fingertips for Science and Mathematics – Buy Now
One of the most appreciated and acknowledged books, this is the first choice of students, parents, and teachers due to its applications-based questions. It offers a set of exhaustive questions for Mathematics and Science subjects. It covers the latest NCERT textbook syllabus. Moreover, it assists in gearing up for CBSE exams, Olympiads, and future competitive exams.
100 Percent Science, Mathematics, English, and Social Studies – Buy Now
To ensure a perfect score in your CBSE class 9 exam, you must have MTG’s 100 Percent book for Science, Mathematics, English, and Social Science. This book is aligned with the latest NCERT syllabus and CBSE 2024-25 pattern. You will get topic-wise theory, chapter-wise activities, concept maps, practice papers, and detailed solutions. To aid exam preparation, you will also get self-test assignments, exam drills, and coverage of science practicals. To assist your cognitive skills, the questions are labelled based on CBSE cognitive levels.
MTG NCERT Textbook + Exemplar Problems Solutions for Mathematics and Science – Buy Now
This is the most suitable book to acquire a good command of MCQ, VSA, SA, and LA of Mathematics and Science subjects. For self-practice, this is the ultimate source. For solving problems, it helps you develop an analytical approach.
Lab Manual Science Book – Buy Now
Based on the recent CBSE 2024 syllabus, our lab manual book is designed to assist you in preparing for the practical exam. Covering a wide range of topics, it helps you in enhancing practical skills so that you approach the exam confidently. The book consists of MCQs, lab experiments, viva-voce questions, and NCERT lab manual questions to apprise you of the format and types of questions asked in the exam.
Foundation Course PCMB books – Buy Now
Make the most of our foundation course and get an upper hand in class 9 along with a lot of competitive exams such as NTSE, Olympiads, and others. These books are built on the latest competency-based education and help in gaining knowledge, understanding concepts, and improving exam skills with unknown facts, extra information, and practice papers.
MTG is reputed for staying up-to-date with the latest trends and policies in education. We always make sure to come up with learning material that will help students to ace all the challenges they might face in their educations. You can trust us for 100% error-free and authentic content to achieve your dreams from our CBSE Books for Class 9.
Follow us for all the educational updates!
Updated – Get the perfect foundation & knowledge to succeed with MTG Foundation Course Class 9