KTO

Kerala Talent Olympiad

Unleash Your Genius

Class 9 Syllabus

Explore the syllabus for Class 8 and the first two chapters of Class 9 to prepare for the Kerala Talent Olympiad.

Questions are based on the syllabus from Class 8 and the first two chapters of Class 9, aligned with Kerala State Syllabus and CBSE NCERT Syllabus.

Part A – Class 8 Topics

Rational Numbers

  • Properties of rational numbers
  • Representation on the number line
  • Rational numbers between two rational numbers

Linear Equations in One Variable

  • Solving linear equations
  • Applications in real-life problems

Understanding Quadrilaterals

  • Types of quadrilaterals (parallelogram, rectangle, square, rhombus, trapezium)
  • Properties of quadrilaterals

Practical Geometry

  • Construction of quadrilaterals
  • Construction of triangles

Data Handling

  • Organizing data (frequency distribution, bar graphs, histograms)
  • Probability (basic concepts)

Squares and Square Roots

  • Properties of square numbers
  • Finding square roots (prime factorization, long division method)

Cubes and Cube Roots

  • Properties of cube numbers
  • Finding cube roots

Comparing Quantities

  • Ratios and percentages
  • Simple and compound interest (basic concepts)
  • Profit and loss, discount

Algebraic Expressions and Identities

  • Addition, subtraction, and multiplication of algebraic expressions
  • Standard identities and their applications

Visualizing Solid Shapes

  • 3D shapes (cube, cuboid, cylinder, cone, sphere)
  • Euler’s formula

Mensuration

  • Area of trapezium, quadrilaterals, and polygons
  • Surface area and volume of cube, cuboid, and cylinder

Exponents and Powers

  • Laws of exponents
  • Standard form of numbers

Direct and Inverse Proportions

  • Direct proportion
  • Inverse proportion

Factorization

  • Factorization of algebraic expressions
  • Factorization using identities

Introduction to Graphs

  • Linear graphs
  • Applications of graphs in real life

Part B – Class 9 Topics (First Two Chapters)

Number Systems

  • Real numbers, irrational numbers
  • Laws of exponents for real numbers
  • Representation of real numbers on the number line

Polynomials

  • Definition and types of polynomials
  • Degree of polynomials
  • Factorization of polynomials
  • Remainder and Factor theorems