CBSE Class 9 Mathematics Syllabus 202425
CBSE has released the Latest Updated Syllabus of the New Academic Session 202425 on March 23rd, 2024, for class 9.
CBSE Board has issued the latest updated syllabus for Class 9th which is to be strictly followed. Board has restored SINGLE BOARD EXAM PATTERN once again like last year.
We have also updated Oswal Gurukul Books as per the Latest Paper Pattern prescribed by Board for Mathematics Curriculum.
Students can directly access the CBSE Mathematics Syllabus for Class 9 of the academic year 202425 by clicking on the link below.
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 ▪ CBSE Class 9 Mathematics Syllabus 202425
 ▪ CBSE Mathematics Class 9 Latest Syllabus 202425
 ▪ CBSE Class 9 Mathematics Syllabus 202425: Unitwise Summary
 ▪ CBSE Class 9 Mathematics Standard Question Paper Design 202425
 ▪ Internal Assessment
 ▪ The Changes for Class 9 (202425) Yearend Board Examinations are as under:
 ▪ 202324 Reduced Syllabus
CBSE Mathematics Class 9 Latest Syllabus 202425
Units  Unit Name  Marks  
I  NUMBER SYSTEMS  10  
II  ALGEBRA  20  
III  COORDINATE GEOMETRY  04  
IV  GEOMETRY  27  
V  MENSURATION  13  
VI  STATISTICS PROBABILITY  06  
Total  80 
CBSE Class 9 Mathematics Syllabus 202425: Unitwise Summary
Unit I:
Number Systems
1. Real Numbers
(18) Periods
 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 nonrecurring/nonterminating decimals. Existence of nonrational 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 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
1. Polynomials
(26) Periods
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 ax^{2} + 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}=x^{2}+y^{2}+z^{2}+2xy+2yz+2zx
(x ±y)^{3}=x^{3} ±y^{3} ±3xy(x±y)
x^{3} ±y^{3}=(x±y)(x^{2}±xy+y^{2})
x^{3}+y^{3}+z^{3}3xyz=(x+y+z)(x^{2}+y^{2}+z^{2}xyyzzx)
and their use in factorization of polynomials.
2. Linear Equations In Two Variables
(16) Periods
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
(7) Periods
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
Unit IV:
Geometry
1. Introduction To Euclid's Geometry
(7) Periods
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
(15) Periods
 (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
(22) Periods
 (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
(13) Periods
 (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
(17) Periods
 (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
1. Areas
(5) Periods
Area of a triangle using Heron's formula (without proof)
2. Surface Areas And Volumes
(17) Periods
Surface areas and volumes of spheres (including hemispheres) and right circular cones.
Unit VI:
Statistics
Statistics
(15) Periods
Bar graphs, histograms (with varying base lengths), and frequency polygons.
CBSE Class 9 Mathematics Standard Question Paper Design 202425
Time: 3 Hours
Max. Marks: 80
S. 
Typology of Questions 
Total 
% 

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 : Evaluating: Creating: 
18 
22 
Total 
80 
100 
Internal Assessment
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 
The Changes for Class 9 (202425) Yearend Board Examinations are as under:
(Class9)  
Periodic Assessment  Academic Session 202324  Academic Session 202425 
Composition of question paper for yearend examination/ Board Examination (Theory) 

