CBSE Board releases New CBSE Class 10 Mathematics Syllabus 2022-23 for Board Exam 2023. We provide all important topics about CBSE Class 10 Maths Syllabus 2022-23 for Academic Session 2022-23.

Mathematics is one of the scoring subjects for many students in class 10th. The CBSE Board had changed the CBSE Class 10 Syllabus of Mathematics from time to time according to the growth of the subject and the emerging needs of society. The present CBSE Mathematics Syllabus for Class 10 has been designed as per the National Curriculum Framework 2005.

CBSE Class 10 Aspirants can check CBSE Class 10 Mathematics Syllabus 2022-23 in detail from the official website of CBSE or Read this article till the end for complete information regarding CBSE Class 10th Mathematics Syllabus 2022-23. We also provide a downloadable pdf link to download CBSE Class 10 Mathematics Syllabus 2022-23.

CBSE Class 10 Mathematics Syllabus 2022-23 Overview

Let’s start the discussion with an overview of CBSE Class 10 Mathematics Syllabus 2022-23.

Unit I: Number Systems

Real Number: Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of the irrationality of

Unit II: Algebra

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

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

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

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 III: Coordinate Geometry (15 Periods)

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

Unit IV: Geometry (25 Periods)

Important Triangles Topics

Definitions, examples, and 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 at different points, then the other two sides are divided in the same ratio.
2. (Motivation) If a line divides two sides of a triangle in equal proportion, then that line is parallel to the third side.
3. (Motivation) If the corresponding angles in two triangles are equal, then their corresponding sides are proportional and the triangles are similar.
4. (Motivation) If the corresponding sides of two triangles are proportional, then their corresponding angles are equal and the two triangles are similar.
5. (Motivation) If one angle of one triangle is equal to one angle of another triangle and the sides joining these angles are proportional, then the two triangles are similar.

Important Circles Topics

Tangent to a circle at, the 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 V: Trigonometry Topics

Introduction of 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 30 degrees, 45 degrees, and 60 degrees Relationships between the ratios.

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

Heights and Distances: Angle of elevation, Angle of Depression. Simple problems with heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

Unit VI: Mensuration

Area 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 the area of a segment of a circle, problems should be restricted to the central angles of 60°, 90°, and 120° only.

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

Unit VII: Statistics and Probability

Statistics: Mean, median, and mode of grouped data (bimodal situation to be avoided).
Probability: The classical definition of probability. Simple problems on finding the probability of an event.

Mathematics Class 10 Standard Question Paper Design 2022-23

Internal Assessment Standard Mathematics Syllabus 2022-23

• 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

Mathematics Class 10 Basic Question Paper Design 2022-23

Basic Mathematics Syllabus 2022-23 Internal Assessment

• 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

Prescribed Books for Board Exam 2023

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.