Kerala Talent Olympiad

Unleash Your Genius

Class 10 Syllabus

Explore the syllabus for Class 9 and the first two chapters of Class 10 to prepare for the Kerala Talent Olympiad.

Questions are based on the syllabus from Class 9 and the first two chapters of Class 10, aligned with Kerala State Syllabus and CBSE NCERT Syllabus.

Part A – Class 9 Topics

Number Systems

Real numbers, irrational numbers
Exponents & Surds
Laws of exponents
Representation of real numbers on the number line

Polynomials

Degree of polynomials
Factorisation of polynomials
Remainder & Factor theorem
Algebraic identities

Linear Equations in Two Variables

Graphical & algebraic solution
Applications of linear equations in daily life

Coordinate Geometry

Cartesian plane, plotting points
Distance between two points, section formula (simple problems)

Introduction to Euclid’s Geometry

Axioms & postulates (basic understanding)

Lines & Angles

Properties of parallel lines, transversal
Sum of angles of a triangle

Triangles

Congruence of triangles (criteria)
Properties & inequalities of triangles

Quadrilaterals

Properties of parallelogram
Midpoint theorem

Areas of Parallelograms and Triangles

Basic concepts

Circles

Tangents, angle subtended by chord

Heron’s Formula

Application in finding area of triangles

Surface Areas and Volumes (Basic)

Cube, cuboid, sphere, hemisphere, cone, cylinder

Statistics

Mean, median, mode (ungrouped data)

Probability (Intro)

Simple problems based on equally likely outcomes

Part B – Class 10 Topics (First Two Chapters)

Real Numbers

Euclid’s Division Lemma
Fundamental Theorem of Arithmetic (HCF, LCM)
Applications in divisibility

Polynomials

Relationship between zeroes and coefficients
Division algorithm