## CBSE Class 10 Maths Syllabus 2022-2023 / CBSE Syllabus for Class 10 Maths

CBSE Class 10 Maths Syllabus for the academic year 2022-2023 is provided by CBSE. Here we provide CBSE Syllabus for Class 10 Maths with the latest course structure. As you know math is a very dynamic subject it needs a lot of practice. CBSE Class 10 math syllabus helps you to understand the important topics. Students are advised to read the Class 10 Maths Syllabus before starting preparation. With the syllabus for CBSE class 10 maths, we also provide the weightage of each chapters.

The board change the CBSE Syllabus for class 10 math from time to time in accordance with the growth of the subject and the emerging needs of society. So in this post, we provide an updated CBSE class maths syllabus for 2022-2023 with pdf.

## CBSE Class 10 Math Syllabus

CBSE class 10th math syllabus is divided into seven units. The detailed class 10 math syllabus CBSE is given below. You are advised to go through the syllabus of CBSE class 10 maths.

### Unit 1: Number Systems

1. REAL NUMBER (15 Periods)

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

### Unit II: Algebra

1. POLYNOMIALS (8 Periods)

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

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15)

• Periods 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.

• Periods 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.

4. ARITHMETIC PROGRESSIONS (10 Periods)

• 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

Coordinate Geometry (15 Periods)

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

### Unit 4: Geometry

1. TRIANGLES (15 Periods)

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 (10 Periods)

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 5: Trigonometry

1. INTRODUCTION TO TRIGONOMETRY (10 Periods)

• 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 30o , 450 and 600. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES (15 Periods)

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

3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10 Periods)

• 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 (12 Periods)

• 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 angle of 60°, 90° and 120° only.

2. SURFACE AREAS AND VOLUMES (12 Periods)

• 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 (18 Periods)

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

2. PROBABILITY (10 Periods)

• The classical definition of probability. Simple problems on finding the probability of an event.

## CBSE Class 10 Syllabus for Maths- Marks Distribution

Chapter-wise Marks distribution or course structure for CBSE class 10 is given below.

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

Mathematics – Standard
Question Paper Design
Class – X (2022-23)
Time – 3 Hours
Max. Marks – 80

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

Mathematics – Basic
Question Paper Design
Class – X (2022-23)
Time – 3 Hours
Max. Marks – 80