Kerala Talent Olympiad Exam - Class 9 Syllabus
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
