CBSE Class 10 Maths Syllabus for Board Exam 2023 (PDF) with Important Resources for Last Minute Revision

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.

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.

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.

3. QUADRATIC EQUATIONS 

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

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.

Download the CBSE board Class 10 Maths Syllabus in PDF from the link mentioned below:

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.

Also Read:

NCERT Book for Class 10 Maths

NCERT Solutions for Class 10 Maths

NCERT Exemplar Solutions for Class 10 Maths

Related Syllabus:

Best of luck to all the candidates.

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  • Balkishan Agrawal

    I bring to you the BEST  for students of Class 9th - 12th. I (Balkishan Agrawal) aim at providing complete preparation for CBSE Board Exams (Maths) along with several other competitive examinations like NTSE, NSO, NSEJS, PRMO, etc. & Maths Reasoning, Vedic Maths at the school level. Wishing you great learning in all aspects of your life!

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