# CBSE Class 10 Maths Syllabus 2023 (PDF) with Important Exam Preparation Resources

CBSE Class 10 Maths Syllabus 2022-23:  Download the new and revised CBSE Syllabus of CBSE Class 10 Maths in PDF here. Also, check the deleted portion of the syllabus that will not be assessed in the upcoming  CBSE Class 10 Mathematics Board Exam 2023.  Get CBSE Class 10 Maths Syllabus for the academic year 2022-23 in PDF format

CBSE Class 10 Maths Syllabus 2022-23: CBSE Class 10 students must check the new CBSE Class 10 Maths Syllabus to clearly know the list of chapters and topics that must be prepared for the board exam 2023. The Class 10 Mathematics Exam for both Standard and Basic papers will be held on 21st March, 2023. Students are advised to check the syllabus thoroughly and make a strategy to prepare the topics based on their weightage or difficulty level. The syllabus is available here for download in PDF.

 Most Important Links for CBSE Class 10 Maths Exam 2023 CBSE Class 10 Maths Deleted Syllabus for Board Exam 2023 CBSE Class 10 Maths Practice Paper for Board Exam 2023 CBSE Class 10 Maths Topper Answer Sheet for Board Exam 2023 CBSE Class 10 Maths Important MCQs for All Chapters CBSE Class 10 Maths Important Case Study Questions 2023 CBSE Class 10 Maths Important Assertion & Reasoning Questions 2023

## 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

ALSO CHECK: CBSE Class 10 Syllabus 2022-2023 ( All Subjects)

### 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 practice papers to check your level of preparation.

NCERT Book for Class 10 Maths

NCERT Solutions for Class 10 Maths

NCERT Exemplar Solutions for Class 10 Maths

Related Syllabus:

 CBSE Class 10 Science Syllabus CBSE Class 10 Social Science Syllabus CBSE Class 10 Computer Applications Syllabus

Best of luck to all the candidates.

## FAQ

### Is the syllabus for Mathematics Basic same as Mathematics Standard in CBSE Class 10 Mathematics?

Yes. The syllabus for both Mathematics Basic and Standard are the exact same. However, the Maths question paper design vary for these subjects. You can view and download the complete CBSE class 10 Maths syllabus at Jagran Josh.

### How long is Mathematics exam in CBSE Class 10?

Both Mathematics papers i.e Basic and Standard, exam are conducted for 80 marks and the time allotted is 3 hours.

### Which is the most important chapter in CBSE Board class 10 Maths Syllabus?

Based on the division of marks in the CBSE Class 10 syllabus, all four chapters in class 10 Maths Unit 2 Algebra are very important. It carries a weightage of 20 marks.

### What topics are removed from CBSE class 10 Maths syllabus for 2023 board exam?

The rationalised CBSE Class 10 Maths syllabus is attached to view and download in this article. While some topics have been dropped, some chapters have been wholly removed from the latest CBSE Maths syllabus. You should view the complete list of deleted topics from Class 10 Maths syllabus to avoid any confusion.

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