Chapters

Fundamental Theorem of Arithmetic, HCF and LCM by prime factorisation, and the irrationality of numbers like $\sqrt{2}$, $\sqrt{3}$, $\sqrt{5}$.

Zeroes of a polynomial and their relationship with coefficients; division algorithm for polynomials.

Graphical and algebraic methods (substitution, elimination, cross-multiplication) to solve two linear equations in two variables.

Standard form, factorisation, completing the square, quadratic formula, nature of roots and word problems.

Sequences where each term differs from the previous by a fixed common difference; formulas for the $n$-th term and sum of the first $n$ terms.

Similar triangles, criteria for similarity (AAA, SAS, SSS), Basic Proportionality Theorem (Thales) and Pythagoras theorem.

Distance formula, section formula, area of a triangle from coordinates.

Trigonometric ratios (sin, cos, tan and reciprocals), values at standard angles, and fundamental identities.

Real-life problems on heights and distances using angles of elevation and depression.

Tangents to a circle, number of tangents from a point, tangent-radius property.

Circumference and area of a circle, area of a sector and segment, combined figures.

Formulas for combinations of solids: cube, cuboid, cylinder, cone, sphere, hemisphere, and frustum.

Measures of central tendency for grouped data: mean, median, mode and their empirical relationship.

Classical (theoretical) probability, sample space, favourable outcomes, complementary events.