Class 10 Mathematics (गणित) - NCERT & Maharashtra State Board (MSBSHSE) Official Curriculum
Official syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Boards. Explore all 14 chapters in English Medium or Hindi Medium (हिंदी माध्यम) with dedicated video masterclasses.
Class 10 Mathematics (गणित)
Official sequenced chapter syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Education Boards nationwide. Every chapter is mapped to dedicated video masterclasses.
Chapter List & Video Masterclasses
14 of 14 ChaptersReal Numbers
The Fundamental Theorem of Arithmetic, revisit of irrational numbers proofs, and decimal expansions of rational numbers.
Polynomials
Geometrical meaning of zeroes of a polynomial, and the relationship between zeroes and coefficients of quadratic polynomials.
Pair of Linear Equations in Two Variables
Graphical and algebraic methods of solving linear equations: substitution method, elimination method, and consistency conditions.
Quadratic Equations
Standard form of quadratic equation, solution by factorisation, quadratic formula (Sridharacharya), and nature of roots via discriminant.
Arithmetic Progressions (AP)
Understanding arithmetic progressions, nth term of an AP (an = a + (n-1)d), and sum of first n terms (Sn = n/2[2a + (n-1)d]).
Triangles
Similarity of figures, Basic Proportionality Theorem (Thales Theorem) and its converse, and criteria for similarity of triangles (AAA, SAS, SSS).
Coordinate Geometry
Cartesian coordinate plane, distance formula between two points, and the section formula for internal division of line segments.
Introduction to Trigonometry
Trigonometric ratios of acute angles in right-angled triangles, values at standard angles (0°, 30°, 45°, 60°, 90°), and trigonometric identities.
Some Applications of Trigonometry (Heights and Distances)
Line of sight, angle of elevation, angle of depression, and solving practical real-world problems on heights and distances.
Circles
Tangent to a circle, point of contact, and the fundamental theorem proving that tangents drawn from an external point to a circle are equal.
Areas Related to Circles
Area of sector and segment of a circle, arc lengths, and finding areas of combined plane figures involving circles.
Surface Areas and Volumes
Surface area and volume of combinations of solids: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.
Statistics
Mean of grouped data (direct method, assumed mean method, step deviation), mode of grouped data, and median of grouped data.
Probability
Classical definition of probability, elementary events, complementary events (P(E) + P(not E) = 1), and impossible and sure events.
Full Board Marathons & Chapter One-Shots
Watch complete full-syllabus revision sessions and chapter-by-chapter deep dives by India’s most acclaimed educators (Physics Wallah, Dear Sir, Vedantu, Magnet Brains, NCERT Wallah). Mapped directly to official board blueprints.