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CBSE Class 10 Maths Syllabus 2022-23: Download the new and revised CBSE Syllabus of CBSE Class 10 Maths for the academic session 2022-2023 in PDF here. Also, check the deleted portion of the syllabus that will not be assessed in the upcoming CBSE Class 10 Mathematics Standard and Mathematics Basic Board Exam 2023. CBSE Class 10 Maths Syllabus 2022-23: In this article, CBSE Class 10 Maths Syllabus for the academic session 2022-2023 is provided for class 10 CBSE students to understand the latest course structure that has been finalised as per the annual assessment scheme for this academic session. Students must remember that the board has terminated the term-wise assessment policy for the new academic session. This means that there would be only one annual board examination. Thus, all the students must go through the latest CBSE Class 10 Maths Syllabus to get to know the chapters and the topics to be covered during the year.

In this article, we have also prepared the list of the chapter-wise topics that are not a part of the new syllabus and will not be assessed in the CBSE Board Exam 2023.

You can check the list of dropped topics from the link given below:

## CBSE Class 10 Maths Course Structure

First let us look at the course structure to understand the weightage of each aspect and the topics.

 Units Unit Name Marks I NUMBER SYSTEMS 06 II ALGEBRA 20 III COORDINATE GEOMETRY 06 IV GEOMETRY 15 V TRIGONOMETRY 12 VI MENSURATION 10 VII STATISTICS & PROBABILITY 11 Total 80

### UNIT 1: NUMBER SYSTEMS

#### 1. REAL NUMBER

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5

### UNIT 2: ALGEBRA

#### 1. POLYNOMIALS

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

#### 2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula.

Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

#### 4. ARITHMETIC PROGRESSIONS

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

### UNIT 3: COORDINATE GEOMETRY

#### 1. Coordinate Geometry

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

### UNIT 4: GEOMETRY

#### 1. TRIANGLES

Definitions, examples, counter examples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

#### 2. CIRCLES

Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

### UNIT 5: TRIGONOMETRY

#### 1. INTRODUCTION TO TRIGONOMETRY

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300 , 450 and 600. Relationships between the ratios.

#### 2. TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

#### 3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression.

Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

### UNIT 6: MENSURATION

#### 1. AREAS RELATED TO CIRCLES

Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.

#### 2. SURFACE AREAS AND VOLUMES

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

### UNIT 7: STATISTICS AND PROBABILITY

#### 1. STATISTICS

Mean, median and mode of grouped data (bimodal situation to be avoided).

#### 2. PROBABILITY

Classical definition of probability. Simple problems on finding the probability of an event.

## CBSE class 10 Maths Internal Assessment

(These internal assessment guidelines are applicable for both Maths Standard and Maths Basic)

 Components Marks Pen Paper Test and Multiple Assessment (5+5) 10 Portfolio 05 Lab Practical (Lab activities to be done from the prescribed books) 05 Total 20

## Question Paper Design – CBSE Class 10 Maths (Standard)

First, we will begin with the question paper design of  CBSE Class 10 Mathematics standard. The typology of questions, and marks weightage is clearly explained here.

 Mathematics-Standard QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours                                                                                                                                                                                     Max. Marks – 80 S. No. Typology of Questions Total 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 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: 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 18 22 Total 80 100

## Question Paper Design – CBSE Class 10 Maths (Basic)

The question paper design for CBSE Class 10 Mathematics Basic is as follows:

 Mathematics-Basic QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours                                                                                                  Max. Marks – 80 S. No. Typology of Questions Total 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 60 75 2. Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 12 15 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 08 10 Total 80 100

PRESCRIBED BOOKS for CBSE Board class 10 Math:

(equally applicable for both Maths Standard and Maths Basic)

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

The syllabus can be downloaded in PDF below so that students may use it anytime and anywhere at their convenience.

Also use sample papers published by CBSE to understand the ways in which the board is expected to ask questions in this academic year.

If you are preparing with lots of hard work with no idea if you are doing it right, then use our practise papers to check your level of preparation. This site uses Akismet to reduce spam. Learn how your comment data is processed.