Syllabus: Mathematics for Class 10 | Mathematics (Maths) Class 10 PDF Download

The revised Class 10 Mathematics syllabus aligns with the National Curriculum Framework 2005, focusing on real-life applications and problem-solving. It aims to strengthen algebraic and trigonometric skills, foster logical thinking, and promote awareness of societal issues. Teaching methods include hands-on activities, models, and experiments. Students are encouraged to appreciate mathematics as a problem-solving tool, develop technological skills, and participate in competitions. Before exams, it's crucial to understand the syllabus thoroughly for effective practice.

CBSE Class 10 Mathematics Syllabus 2024

The topic-wise marks distribution and weightage of CBSE Class 10 Maths are given below:

Unit I: 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 II: 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 III: Coordinate Geometry

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

Unit IV: 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 V: 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 30^oº, 45º and 60º. 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 VI: 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 VII: 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.

Deleted Syllabus of Class 10 Maths 2024

The CBSE Class 10 Maths deleted syllabus for 2023-24 is tabulated below:

Question Paper Design: Standard

Question Paper Design: Basic

If you want guidance on how to prepare for mathematics, do check out the document How to Prepare for Class 10 Mathematics?