KVPY Exam Preparation

KVPY (Kishore Vaigyanik Protsahan Yojana) is an exam-based fellowship in India. This page outlines the exam details and math topics covered, providing relevant wikis and quizzes for training and practice. Other sciences are covered on the exam, but are not currently covered on this page.

The first round of the selection procedure is an aptitude test. Generally, the cut off is seen to be around 45%-60% of the total marks but it may vary according to the toughness of the paper. Then, based on the performance in the aptitude test, short-listed students are called for an interview which is the final stage of the selection procedure. For receiving a fellowship, both aptitude test and interview marks are considered.

These are the basic topics covered by KVPY. This is a great place to start learning if you’re new to KVPY!

$\large \textbf{Algebra}$

Chapter	Wiki	Quiz
Radical Expressions and Equations
Linear Equations
Systems of Linear Equations
Polynomial Factoring
Functions
Arithmetic Progressions
Solving Equations
Absolute Value
Quadratic Equations
Linear Inequalities

$\large \textbf{Geometry}$

Chapter	Wiki	Quiz
Trigonometric Functions
Triangle Centers
Tangent and Secant Lines
Inscribed and Circumscribed Figures
Equation of a Line

$\large \textbf{Combinatorics (Counting and Probability)}$

Chapter	Wiki	Quiz
Set Operations
Principle of Inclusion/Exclusion
Understanding Data

$\large \textbf{Calculus}$

Chapter	Wiki	Quiz
Differentiation Rules
Sequences and Series
Limits of Functions
Differentiability

These are the intermediate topics covered by KVPY. This is a great place to hone your skills if you are already comfortable with solving the first few problems on KVPY.

$\large \textbf{Algebra}$

Chapter	Wiki	Quiz
Remainder Factor Theorem
Exponential Inequalities
De Moivre's Theorem
Completing the Square
Quadratic Discriminant
Polynomial Inequalities
Absolute Value Inequalities
Function Graphs
Rational Functions
Geometric Progressions
System of Equations

$\large \textbf{Geometry}$

Chapter	Wiki	Quiz
Solving Triangles
Conic Sections: Parabola
Conic Sections: Ellipse
3D Coordinate Geometry
Graphs of Trig Functions
Fundamental Trig Identities

$\large \textbf{Combinatorics (Counting and Probability)}$

Chapter	Wiki	Quiz
Rules of Sum and Product
Combinations
Discrete Probability
Expected Value

$\large \textbf{Calculus}$

Chapter	Wiki	Quiz
Higher Order Derivatives
L'Hopital's Rule
Related Rates
Extrema

These are the advanced topics covered by KVPY, which usually appear in the later problems. This is a great place to learn to solve the hardest problems on the KVPY if you're shooting for a perfect score!

$\large \textbf{Algebra}$

Chapter	Wiki	Quiz
Exponential Functions
Logarithmic Functions
Complex Numbers
Polar Coordinates
Binomial Theorem
Rational Root Theorem
Vieta's Formula
Roots of Unity
Functional Equations
AM-GM Inequality

$\large \textbf{Geometry}$

Chapter	Wiki	Quiz
Conic Sections: Hyperbola
Trigonometric Equations
Sum and Difference Trig Formulas
Dot Product of Vectors
Cross Product of Vectors

$\large \textbf{Combinatorics (Counting and Probability)}$

Chapter	Wiki	Quiz
Conditional Probability
Geometric Probability
Binomial Distribution

$\large \textbf{Calculus}$

Chapter	Wiki	Quiz
Definite Integrals
Integration Techniques
Area Between Curves
First Order Differential Equations