KTO

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