Edurea
Analyzing the last 10 years of KEAM papers to identify recurring patterns in the Mathematics section.
Preparing for KEAM Mathematics can feel overwhelming. However, if you observe previous year papers, one thing becomes clear —
certain question patterns repeat every year.
This blog will help you understand:
• High-weightage chapters
• Most expected questions (chapter-wise)
• Smart preparation strategy
• Time management tips
• Total Questions: 120
• Marking Scheme: +4 for correct, −1 for wrong
• Difficulty Level: Moderate
• Key Requirement: Speed and Accuracy
| Chapter | Expected Questions | Priority |
|---|---|---|
| Calculus | 30–35 | Very High |
| Vectors & 3D Geometry | 15–18 | Very High |
| Matrices & Determinants | 10–12 | High |
| Probability | 8–10 | High |
| Complex Numbers | 8–10 | High |
Most expected questions:
• Tangent and normal at a point
• Increasing and decreasing functions
• Maxima and minima problems
Tip: Learn derivatives of standard functions thoroughly. It saves a lot of time in the exam.
Frequently asked topics:
• Definite integrals using properties
• Area under simple curves
Important properties:
• ∫₀ᵃ f(x) dx = ∫₀ᵃ f(a − x) dx
• Symmetry-based integrals
Expected question types:
• Formation of differential equations
• Variable separable equations
Note: Most questions are direct and formula-based. Easy scoring area.
Commonly asked:
• Dot product and angle between vectors
• Projection of vectors
• Scalar triple product (volume)
Frequently asked:
• Equation of a line
• Shortest distance between two lines
• Distance of a point from a plane
Warning: Sign mistakes are common. Be careful with directions.
Most expected questions:
• Solving linear equations using matrices
• Properties of determinants
• Adjoint and inverse of matrices
Tip: Nearly 90% of matrix questions are formula-based.
High-frequency areas:
• Conditional probability
• Bayes’ theorem
• Independent and dependent events
Common question pattern:
Find the probability that exactly one or at least one event occurs.
Expected topics:
• Modulus and argument
• Geometrical representation
• Quadratic equations with complex roots
Note: This is one of the easiest scoring chapters if basics are clear.
What you should do:
• Solve previous 10 years KEAM questions
• Practice speed-based calculations
• Revise formulas daily
What you should avoid:
• Overthinking simple questions
• Skipping high-weightage chapters
• Blind guessing due to negative marking
| Section | Ideal Time |
|---|---|
| Easy Questions | 30–35 minutes |
| Moderate Questions | 60 minutes |
| Final Revision | 15 minutes |
KEAM Mathematics is not about attempting every question.
It is about solving the right questions correctly in less time.
Focus on concepts.
Practice consistently.
Avoid silly mistakes.
All the best for KEAM. Keep practicing and trust your preparation.