Kerala Talent Olympiad

Kerala Talent Olympiad Exam - Class 10 Syllabus

Questions are based on the syllabus from Class 9 and the first two chapters of Class 10.

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