**CBSE Class 9 Maths Syllabus: **Every class 9th student in CBSE affiliated schools must be aware of the CBSE Syllabus for Class 9 Maths in order to qualify for the Maths exam with good marks. This is a must because you need to finish the CBSE Class 9 Maths syllabus thoroughly. Otherwise, you would face a lot of difficulty in Class 10 as the Class 10 Maths syllabus is related to the CBSE syllabus for Class 9 Maths. In the previous year (2020), the class 9 syllabus for all subjects was reduced by 30%, however, for this academic year that is 2021-22, the Central Board of education (CBSE) has reinstated the 100% syllabus for all class 9 subjects.

So, all the students who are in Class 9 and will appear for the Class 10 board exams must have a clear knowledge of the CBSE Class 9 Maths Revised Syllabus and ensure they finish every concept and topic included in the syllabus. Also, Mathematics plays an important role for students who want to take the Science stream in Classes 11-12 and appear for engineering entrance exams, like JEE, BITSAT, etc. So in this article, we will provide you with all the detailed information regarding the CBSE class 9 maths syllabus 2021-22 term 1. Read the full article to find out.

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**Latest Update**

👉 The CBSE Term 1 board exams for major subjects will commence for Class 10 students from November 30 to December 11, 2021 and for Class 12 students from December 1 to December 22, 2021.

👉 Regular students can collect their admit cards from their respective schools, and private candidates can download the admit card from the official website of CBSE – cbse.gov.in.

👉 The exam duration for each subject is 90 minutes.

👉 The CBSE Term 1 board exam will be conducted entirely offline, and there is no option for students to appear online.

👉 Since the CBSE Term 1 exam will be held in the winter season, the exams will commence from 11:30 A.M instead of 10:30 A.M. The correct answer for each choice must be written on the OMR sheets, which can only be written using a blue or black ink pen.

👉 **October 18**: The Central Board of Secondary Education (CBSE) have released the CBSE 10th and 12th Date Sheet for Main subjects.

👉 **October 21**: CBSE has released the 10th and 12th Date Sheet for Minor subjects.

*Practice Embibe’s**Exclusive CBSE Term 1 Sample Papers Based on New Guidelines:*

Here at Embibe, you can get the Free CBSE Revised MCQ Mock Test 2021 for all topics. The MCQ Test offered by Embibe is curated based on revised CBSE Class Books, paper patterns and syllabus for the year 2021. This mock test series has a comprehensive selection of relevant questions and their solutions. Candidates in CBSE Board can take these free mock tests to practise and find areas where they need to improve for their board exams.

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Table of Contents

- CBSE Class 9 Maths Syllabus for 2021-22 (Term-wise)
- CBSE Class 9 Maths Syllabus for Number Systems
- CBSE Class 9 Maths Syllabus for Algebra
- CBSE Class 9 Maths Syllabus for Coordinate Geometry
- CBSE Class 9 Maths Syllabus for Geometry
- CBSE Class 9 Maths Syllabus for Mensuration
- CBSE Class 9 Maths Syllabus for Statistics & Probability
- Frequently Asked Questions (FAQs)

## CBSE Class 9 Maths Syllabus for 2021-22 (Term-wise)

Before we provide you with the detailed **CBSE Syllabus For Class 9 Maths for Term 1 and Term 2**, let’s look at the unit-wise marking scheme and weightage of marks for both terms.

Now that you have got the marks distribution for Term 1 and Term 2, let’s look at the term-wise syllabus in detail:

Let us now see what all are included in each of these units.

Statistics Mock Test | Statistics Practice Questions |

Mensuration Mock Test | Mensuration Practice Questions |

Geometry Mock Test | Geometry Practice Questions |

Algebra Mock Test | Algebra Practice Questions |

## CBSE Class 9 Maths Syllabus for 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 , √3

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as their representation on the number line.

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

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

**DOWNLOAD CBSE CLASS 9 MATHS SYLLABUS HERE**

## CBSE Class 9 Maths Syllabus for 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 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:

(i) (*x *+ *y *+ *z*)^{2} = *x*^{2} + *y*^{2} + *z*^{2} + 2*xy* + 2*yz* + 2*zx*

(ii) (*x *± *y*)^{3} = *x*^{3} ± *y*^{3} ± 3*xy *(*x *± *y*)

(iii) *x*^{3 }+ *y*^{3 }+* z*^{3 }– 3*xyz* = (*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 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.

## CBSE Class 9 Maths Syllabus for 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.

## CBSE Class 9 Maths Syllabus for 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 180
^{o}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 that are parallel to a given line are parallel.
- 5. (Prove) The sum of the angles of a triangle is 180
^{o}. - 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 are 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.

**4. Quadrilaterals (10 Periods)**

- 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.

**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 180
^{o}and its converse.

**7. Constructions (5 Periods)**

- 1. Construction of bisectors of line segments and angles of measure 60
^{o}, 90^{o}, 45^{o}etc., equilateral triangles. - 2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle.

## CBSE Class 9 Maths Syllabus for 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.

## CBSE Class 9 Maths Syllabus for 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).

Now that you are provided with all the detailed information regarding CBSE Syllabus For Class 9 Math, make sure you understand the concept behind all these theories before memorizing the formulas and start practising the sums. Like any other subject, Math too needs an understanding of the theories. It is a subject of understanding rather than learning.

Finish the NCERT Maths textbook first. Then take free **CBSE Class 9 Maths mock tests** and solve free **CBSE Class 9 Maths practice questions** on Embibe. These will help you in various competitive exams like Olympiads and NTSE as well.

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## Frequently Asked Questions (FAQs)

Listed here are some popular FAQs:

**Q1. What are the best books to prepare for CBSE Class 9 final examination?Ans: **In order to score well in the CBSE class 9 final exam, it is best that you prepare from the NCERT textbooks because they teach the basic concepts in simple language. It will be easy for you to understand the chapters well from the NCERT books.

**Q2. Where can I download the CBSE Class 9 new syllabus for Term 1 and Term 2?Ans: **All CBSE Class 9 students are advised to download the latest syllabus for Term 1 and Term 2 provided here on this page.

**Q3. Is Class 9 math exam tough to qualify?Ans: **It is not that difficult. You can easily pass the exam with good marks if you prepare well and on time. For a subject like math, practice is the key to success.

**Q4. Will the syllabus CBSE Class 9 2021-22 be reduced like the previous year?Ans: **No, for this academic year that is 2021-22, the syllabus for CBSE class 9 has been reinstated to 100% by the official authorities.

**Q5. Are NCERT Books related to CBSE Syllabus?Ans: **Yes, the NCERT Books are related to CBSE Course Curriculum.

**Q6. How many chapters are there in CBSE class 9 maths?Ans: **There are 15 chapters in class 9 maths.

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