The CBSE Class 10 Maths syllabus for 2024-25 covers the following topics:
Unit 1: Number Systems
* Real Number
Unit 2: Algebra
* Polynomials
* Pair of Linear Equations in Two Variables
* Quadratic Equations
* Arithmetic Progressions
Unit 3: Coordinate Geometry
* Coordinate Geometry
Unit 4: Geometry
* Triangles
* Circles
* Constructions
Unit 5: Trigonometry
* Introduction to Trigonometry
* Trigonometric Identities
* Heights and Distances
Unit 6: Mensuration
* Areas Related to Circles
* Surface Areas and Volumes
Unit 7: Statistics and Probability
* Statistics
* Probability
Detailed Syllabus Content:
* Real Number: Fundamental Theorem of Arithmetic, decimal representations of rational numbers.
* Polynomials: Zeros of a polynomial, relationship between zeroes and coefficients of quadratic polynomials.
* Pair of Linear Equations in Two Variables: Graphical method of their solution, consistency/inconsistency, algebraic conditions for number of solutions.
* Quadratic Equations: Standard form of a quadratic equation, factorization, using quadratic formula, relationship between discriminant and nature of roots.
* Arithmetic Progressions: nth term of an AP, sum of first n terms of an AP.
* Coordinate Geometry: Distances, sections, area of a triangle.
* Triangles: Congruence, similarity, proofs of (i) Basic Proportionality Theorem, (ii) (AAA) criteria of similarity.
* Circles: Tangents to a circle at a point of contact.
* Constructions: Division of a line segment in a given ratio, tangent to a circle from a point outside it.
* Introduction to Trigonometry: Trigonometric ratios of an acute angle of a right-angled triangle, values of trigonometric ratios for 0°, 30°, 45°, 60° and 90°.
* Trigonometric Identities: Proofs and applications of the identity \sin^2 A + \cos^2 A = 1.
* Heights and Distances: Simple problems on heights and distances.
* Areas Related to Circles: Area of a circle, area of sectors and segments of a circle.
* Surface Areas and Volumes: Surface areas and volumes of combinations of any two of: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
* Statistics: Mean, median, mode of grouped data (bimodal situation to be avoided).
* Probability: Classical definition of probability. Simple problems on single events.
Note: The syllabus may vary slightly from year to year. It's always best to refer to the latest official CBSE syllabus document for the most accurate and up-to-date information.