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# CBSE Class 9 Maths Syllabus 2022-23

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CBSE Class 9 Mathematics Syllabus 2022-23 includes Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, Statistics & Probability etc for the session 2022 – 2023. Here is the detailed CBSE class 9 Maths syllabus 2022-23. The myCBSEguide app not only provides you with the CBSE class 9 Mathematics model question papers but also provides class 9 Mathematics chapter-wise test papers, class 9 Mathematics best revision notes and other study material for class 9 Mathematics students.

## CBSE Class 9 Maths Syllabus 2022-23 (Code No. 041)

(Syllabus 2022-23)

### Class 9 Maths Course Structure

UnitsUnit NameMarks
INUMBER SYSTEMS10
IIALGEBRA20
IIICOORDINATE GEOMETRY04
IVGEOMETRY27
VMENSURATION13
VISTATISTICS & PROBABILITY06
Total80

### CBSE Class 9 Maths Marks Distribution Chapter-wise 2023

CBSE provides unit-wise marks distribution only. If you go through the syllabus document, you will find that there are six units this year and CBSE has provided marks distribution for each unit separately.

1. Number Systems will carry 10 marks. The chapter Real Numbers is part of the unit number systems. If you check the CBSE class 9 maths syllabus 2022-23 PDF file, you will get to know that some topics are revised this year.
2. Algebra has the second highest weightage. It has two chapters polynomials and linear equations. The total weightage to Algebra is 20 marks.
3. Coordinate Geometry is a small unit with only one chapter. It bears only 4 marks.
4. Geometry is the highest weightage in class 9 Maths syllabus 2022-23. Overall 27 marks are allotted to this unit because it has 5 chapters.
5. Mensuration covers Areas, Surface Areas and Volumes only. This unit is revised and reduced drastically. Total of 13 mark questions will come from this unit.
6. The last unit Statistics and Probability has only one chapter left. It is Statistics. The other chapter Probability is fully deleted.

## UNIT I: NUMBER SYSTEMS

1. ### REAL NUMBERS (18 Periods)

1. Review of representation of natural numbers, integers and 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 {tex}\sqrt{2}, \sqrt{3}{/tex} 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.
3. Definition of nth root of a real number.
4. Rationalization (with precise meaning) of real numbers of the type {tex}\frac{1}{a+b \sqrt{x}}{/tex} and {tex}\frac{1}{\sqrt{x}+\sqrt{y}}{/tex} (and their combinations) where x and y are natural number and a and b are integers.
5. 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 ax2 + bx + c, a {tex}\ne{/tex} 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)= x+ y+ z+ 2xy + 2yz + 2zx
(x {tex}\pm{/tex} y)= x3 {tex}\pm{/tex} y3 {tex}\pm{/tex} 3xy(x {tex}\pm{/tex} y)
x3 {tex}\pm{/tex} y= (x {tex}\pm{/tex} y)(x2 {tex}\pm{/tex} xy + y2
x+ y+ z– 3xyz = (x + y + z)(x+ y+ z– xy – yz – zx) 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) Period

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. ### 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

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 that are parallel to a given line are parallel.
3. ### TRIANGLES (22) 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. (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.

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.
5. ### CIRCLES (17) Periods

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

1. ### AREAS (5) Periods

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

2. ### SURFACE AREAS AND VOLUMES (12) Periods

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

## UNIT VI: STATISTICS & PROBABILITY

### STATISTICS (15) Periods

Bar graphs, histograms (with varying base lengths), and frequency polygons.

### PROBABILITY (Deleted)

The chapter Probability is fully deleted and CBSE will not ask any question from this chapter in the examination.

## Class 9 Maths Question Paper Design

Question paper design lets you know about the typology of questions and mark distribution. In the CBSE class 9 Maths syllabus 2022-23 there are two major parts

• Theory Paper – 80 Marks
• Internal Assessment – 20 Marks

### Typology of Questions in 9th Maths

There are three main types of questions in the 9th class maths syllabus for 2022 – 2023. These are

1. Remembering and Understanding – 43 Marks
2. Applying – 19 Marks
3. Analysing, Evaluating and Creating  – 18 Marks

As this typology is based on Bloom’s taxonomy, we can clearly conclude that around 50% of questions will be easy and direct questions based on the formula. The next 25% will be of moderate difficulty level and the last 25% will need a bit higher thinking level.

The student will get 3 hours to solve this 80 marks question paper.

S.NoTypology of QuestionsTotal 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
4354
2.Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.1924
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
1822
Total80100

### Class 9 Maths Internal Assessment

Class 9 Maths syllabus 2022-23 clearly mentioned that there will be 20 marks for internal assessment. This internal assessment has three parts

1. Pen Paper Tests and other Assessments will carry 10 marks.
2. The portfolio will have 5 marks
3. You will get 5 marks for Lab activities
 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

## Class 9 Maths Prescribed Books

CBSE has officially prescribed the following books for class 9 maths students. You must use these books carefully and check if any part or exercise is deleted from the book or not. Just follow the class 9th syllabus mentioned above.

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

## Class 9 Maths Sample Papers 2022-23

You can download class 9 maths sample papers from the myCBSEguide app and website for free. Although CBSE does not issue model papers for class 9th yet it issues some guidelines and all schools have to adhere to the same.

### Sample Papers on myCBSEguide app

Download class 9th full syllabus sample questions papers from myCBSEguide app here.

### 9th Class Maths Sample Paper 2022 – 23

You can also download class 9 Maths model papers from our student dashboard here. The same is also available on our webpage for class 9 Maths students.

## FAQ on Class 9 Maths Syllabus 2022-23

Where I can get CBSE Class 9 Mathematics Syllabus 2023?

You can get it from CBSE official website here. The same is also available on the myCBSEguide app.

Is there any reduction in CBSE Class 9 Maths syllabus for 2022 23?

Yes. CBSE has deleted some chapters completely and reduced some exercises. You can get the detailed syllabus and study material based on the reduced syllabus from myCBSEguide.

What is the syllabus of class 9 CBSE 2022-23 maths?

This year CBSE will ask questions from 6 units only. The weightage of each using given in the CBSE curriculum document on the official website of CBSE, New Delhi. You can also find the same on the myCBSEguide app.

Is there a board exam for the 9th CBSE 2023?

No, CBSE will not conduct a board exam for class 9 in 2023. It will be purely a home-based examination that will be conducted in respective schools itself.

Which is the hardest chapter in maths class 9 CBSE?

Although there is no hard or easy type of thing yet student usually find Geometry a bit difficult as compared to other chapters in class 9 Maths.

Which topics are removed from maths class 9?

Here is the complete list of topics removed from class 9th Maths syllabus in session 2022-23

## List of topics Deleted from class 9 Maths Syllabus 2022-23

### Chapter 1 – Number System

Deleted topics are Representations of terminating / nonterminating recurring decimals on the number line through successive magnification.

No deletion

### Chapter 3 – Coordinate Geometry

Deleted topics are plotting points in the plane.

### Chapter 4 – Linear Equations in two variables

Deleted topics are 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.

No deletion

### Chapter 6 – Lines and Angles

Deleted topics are Angle Sum Property of a Triangle

### Chapter 7 – Triangles

Deleted topics are Triangle inequalities and the relation between ‘angle and facing side’ inequalities in triangles.

No deletion

### Chapter 9 – Areas of Parallelograms and Triangles

Complete chapter deleted

No deletion

### Chapter 11 – Constructions

Complete chapter deleted

### Chapter 12 – Heron’s Formula

Deleted topics are Applications of Heron’s formula in finding the area of a quadrilateral.

### Chapter 13 – Surface Areas and Volumes

Deleted topics are Surface areas and volumes of cubes, cuboids and cylinders

### Chapter 14 – Statistics

Deleted topics are Collection of data, presentation of data — tabular form, ungrouped / grouped
Mean, median and mode of ungrouped data.

### Chapter 15 – Probability

Complete chapter deleted

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