# CBSE Class 9 Maths Revised Syllabus for Annual Exam 2021 (Reduced by 30%)

Gurmeet Kaur

CBSE has released the revised syllabus for all subjects of class 9. Amid the COVID-19 pandemic, the board has reduced the syllabus by 30%. We are providing here the CBSE syllabus of Class 9 Mathematics subject for the Annual Exam 2021. This latest CBSE Class 9 Maths syllabus gives details of all topics and lessons to be prepared in the current academic session. It also mentions the unit-wise weightage and question paper design for the annual examination. All the CBSE affiliated schools are expected to follow the same pattern while preparing the question papers for the exam. With this article, students may read and download the CBSE Class 9 Maths Syllabus 2020-21 in its revised form.

New* CBSE Class 9 Maths Exam 2021 - Check Best 5 Tips with Important Resources to Get High Score in Exam

Find below the complete syllabus for CBSE Class 9 Mathematics:

CBSE Class 9 Mathematics Unit-Wise Weightage

 Units Unit Name Marks I NUMBER SYSTEMS 08 II ALGEBRA 17 III COORDINATE GEOMETRY 04 IV GEOMETRY 28 V MENSURATION 13 VI STATISTICS & PROBABILTY 10 Total 80

Also Check: CBSE Class 9 Maths Deleted Portion of Syllabus for Annual Exam 2021

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You may also download the latest NCERT Book and Solutions for Class 9 Maths to help you effectively study throughout the year and make effective preparations for the periodic tests and the CBSE Annual Examinations.

CBSE Class 9 Online Resources and Preparation Guide for Annual Exam 2021

UNIT I: NUMBER SYSTEMS

1. Real Numbers  (10 Periods)

1. Review of representation of natural numbers, integers, 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 and their representation on the number line.

3. Rationalization (with precise meaning) of real numbers of the type   (and their combinations) where x and y are natural number and a and b are integers.

6. 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  (15 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. 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.

2. Linear Equations in Two Variables (10 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. 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. Graph of linear equations in two variables. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.

UNIT III: COORDINATE GEOMETRY

1. Coordinate Geometry (6 Periods)

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. Lines and Angles (13 Periods)

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

4. (Motivate) Lines which are parallel to a given line are parallel.

5. (Prove) The sum of the angles of a triangle is 180o.

6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

2. Triangles (20 Periods)

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 the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

3. (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).

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

5. (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 mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

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6. Circles (12 Periods)

Through examples, arrive at definition of circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle.

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) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180o and its converse.

7. Constructions (5 Periods)

1. Construction of bisectors of line segments and angles of measure 60o, 90o, 45o etc., equilateral triangles.

2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle.

UNIT V: MENSURATION

1. Areas (2 Periods)

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

2. Surface Areas and Volumes (12 Periods)

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and  right circular cylinders/cones.

UNIT VI: STATISTICS & PROBABILITY

1. Statistics (6 Periods)

Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs.

2. Probability (9 Periods)

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).

MATHEMATICS
Code (041)
QUESTION PAPER DESIGN
CLASS – IX (2020-21)
Time: 3 Hrs.                                                                                                                                                                        Max. Marks: 80

Internal Assessment will be conducted as per the following marks distribution:

 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

PRESCRIBED BOOKS:

 1. Mathematics - Textbook for class IX - NCERT Publication 3. Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication 4. Laboratory Manual - Mathematics, secondary stage - NCERT Publication 5. Mathematics exemplar problems for class IX, NCERT publication.