Class 10 Mathematics Syllabus

Covers the Fundamental Theorem of Arithmetic, prime factorisation of composite numbers, and finding HCF and LCM.

Covers formal deductive proofs of the irrationality of √2, √3, and √5.

Covers the geometrical interpretation of zeroes of a polynomial through intersections of its graph with the x-axis.

Covers the relationship between zeroes and coefficients of quadratic polynomials and construction of quadratic expressions.

Covers graphical methods for solving pairs of linear equations and identifying consistent, inconsistent, and dependent systems.

Covers algebraic solution using substitution and elimination methods.

Covers the standard form ax² + bx + c = 0 and formulation of quadratic equations from word problems.

Covers solving quadratic equations by factorisation, including splitting the middle term.

Covers the Quadratic Formula, discriminant, and determining the nature of real roots.

Covers identifying arithmetic progressions, first term, and common difference.

Covers finding the nth term of an arithmetic progression using aₙ = a + (n−1)d.

Covers the sum of the first n terms of an arithmetic progression and its applications.

Covers foundational concepts of similarity of geometric figures versus congruence.

Covers the Basic Proportionality Theorem (Thales' Theorem), its converse, and applications.

Covers criteria for similarity of triangles: AAA/AA, SSS, and SAS, with geometric proofs.

Covers the Distance Formula between two Cartesian coordinate points and verification of collinearity.

Covers the Section Formula for internal division of a line segment and calculation of midpoint coordinates.

Covers the six trigonometric ratios of acute angles in a right-angled triangle.

Covers standard trigonometric values for 0°, 30°, 45°, 60°, and 90°.

Covers verification and application of standard trigonometric identities, including sin²A + cos²A = 1.

Covers practical height-and-distance problems using line of sight, angles of elevation, and angles of depression.

Covers tangents and secants, point of contact, and the theorem that a tangent is perpendicular to the radius at the point of contact.

Covers the theorem that tangents drawn from an external point to a circle are equal in length and related deductions.

Covers areas of sectors and segments of circles, including calculations involving standard central angles.

Covers total and curved surface areas of combinations of cubes, cuboids, cylinders, cones, spheres, and hemispheres.

Covers volumes of combined three-dimensional solids and related practical applications.

Covers calculation of the arithmetic mean for grouped frequency data using the Direct Method and Assumed Mean Method.

Covers calculation of mode for grouped data using the modal-class formula.

Covers calculation of median for grouped frequency data using cumulative frequency and the empirical relationship between mean, median, and mode.

Covers classical theoretical probability of simple events, complementary events, and impossible or certain events.