The Mathematics section of the IISER Aptitude Test 2026 plays a crucial role in determining a candidate’s overall rank, especially for students targeting top IISERs, IISc Bangalore, and other participating institutes. Over the years, the mathematics paper has evolved to become more concept-driven, analytical, and application-based rather than formula-oriented. Topics such as Calculus, Algebra, Probability, Vectors & 3D Geometry, and Matrices consistently carry high weightage in the exam and often dominate the question paper trend.
This SciAstra blog on IISER 2026 Mathematics Important Topics provides a complete roadmap for aspirants preparing for the mathematics section of IAT 2026. From chapter-wise important topics and expected weightage to smart preparation strategies and trend analysis based on previous years’ papers, this guide will help students focus on the most scoring areas while avoiding common preparation mistakes. Whether you are a PCM student aiming for maximum marks or a PCB student trying to strengthen mathematics for a competitive edge, understanding the latest exam trends and high-priority chapters can help you prepare strategically and boost your final IAT score 2026.
IISER 2026 Exam Highlights
Candidates can check out the IAT 2026 exam highlights from here:
Features | Details |
Exam Name | IISER Aptitude Test (IAT), IISER Entrance Exam |
Exam Organising Institute | One of the IISERs |
Exam Level | Graduate Level |
Courses Offered | 5-year BS-MS dual degree |
Exam Mode | Online |
Exam Frequency | Once a year |
Registration Fee | Gen/OBC/OBC-NCL/EWS – INR 2,000 |
Type of Question | Multiple Choice Questions (60 questions) |
IAT Negative Marking Scheme | -1 mark for incorrect, +4 marks for correct |
Official Website |
IAT 2026 Exam Pattern
The comprehensive overview of the IAT 2026 question paper is available below:
IAT 2026 Exam Pattern | |
Total Number of Questions | 60 Questions |
Sections | Four sections:
|
Marking Scheme |
|
Total Marks | 240 marks |
Test/Question Paper Language | Hindi and English |
Exam Duration | 180 minutes (3 hours) |
IAT 2026 Mathematics Important Topics & Chapters
Mathematics plays a crucial role in improving the overall score in the IAT 2026 examination, especially for candidates targeting top IISERs. Based on previous year trends, topics like Calculus, Coordinate Geometry, Algebra, Probability, and Vectors hold significant weightage in the exam. Candidates should mainly focus on Limits, Differentiation, Integration, Matrices, Determinants, Straight Lines, Circles, Permutation & Combination, and Complex Numbers. Questions in IAT Mathematics are generally concept-based and require strong problem-solving speed.
Candidates can check out the IAT 2026 Mathematics Important Topics from here:
IAT Mathematics Preparation 2026: Past Year Trend Analysis
Candidates appearing for the upcoming IAT 2026 exam must include the trend analysis of questions asked in the Mathematics section in their final stage of preparation. For candidates who do not have Mathematics in their Class 12 stream but still aim to achieve a good score in IAT 2026, mastering certain important topics from the Mathematics section becomes essential.
Now, the problem is that it is not possible for Biology students to cover all the Mathematics topics for IAT 2026. That is why a quick analysis of the IAT Biology past year trends plays an important role. SciAstra Mentors has provided a solution to this. Here is the complete IAT Mathematics past year trend analysis:
Mathematics | |||||||
Section | Chapters | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
Algebra | Set Theory | - | - | 1 | - | - | 1 |
Quadratic Equation | 1 | - | - | 1 | - | - | |
Complex number | - | 1 | 1 | - | 1 | 1 | |
Sequence & Series | - | - | - | - | 1 | 1 | |
Binomial Theorem | - | - | - | - | 1 | 1 | |
Matrices & Determinants | 2 | 2 | 1 | 1 | 1 | 1 | |
Mathematical induction | - | - | - | - | - | - | |
Differential Calculus | Basic Maths | - | - | - | 1 | - | - |
Relations | - | - | 1 | - | - | - | |
Functions | 1 | 1 | 1 | 1 | 1 | 1 | |
Application of Derivatives | 1 | - | 2 | 2 | 1 | 1 | |
Continuity & Differentiability | 1 | 1 | - | 1 | 1 | 2 | |
Limits | 1 | 1 | - | - | - | - | |
Probability and Statistics | Probability | 1 | 1 | 1 | 1 | 1 | 1 |
Statistics | 1 | 1 | - | 1 | - | - | |
Permutation & Combination | - | - | - | - | - | 1 | |
Integral Calculus | Differential Equation | - | - | 1 | 1 | 1 | 1 |
Indefinite & Definite Integral | 2 | 2 | 2 | 1 | 1 | 1 | |
Area under Curve | 2 | 2 | 1 | 1 | 1 | - | |
Geometry | Straight Lines | 1 | 1 | 1 | 1 | 2 | - |
Conic Sections | - | - | - | 1 | - | 1 | |
Circles | - | - | 1 | 1 | - | - | |
Vectors | - | - | 1 | - | 1 | 1 | |
3D geometry | 1 | 1 | - | - | 1 | - | |
Trigonometry | Trigonometric Equation | - | 1 | - | - | - | - |
Top 5 Mathematics Topics for IAT 2026
Candidates preparing for the IAT 2026 examination should prioritise high-weightage Mathematics topics that are frequently asked in previous year papers. Among all chapters, Calculus remains the most important section, covering topics in Differentiation, Integration, and the Application of Derivatives. Coordinate Geometry is another scoring area with questions from Straight Lines, Circles, and Conic Sections. Algebra topics such as Matrices, Determinants, and Complex Numbers are also highly important for the exam. Additionally, Probability & Permutation Combination and Vector & 3D Geometry are considered crucial because they consistently appear on the examination. Regular practice and understanding these topics can significantly improve overall performance in IAT 2026.
Important Topics | Concepts to Study |
Differential Calculus | Differentiation: Definition of derivative and relating it to slope of tangent of the curve. Derivative of sum, difference, product, and quotient of functions. Derivative of some standard functions e.g. polynomial, trigonometric, inverse trigonometric, exponential, and logarithmic functions. Derivative of composite functions via chain rule. Derivative of implicit functions and functions in parametric forms. Logarithmic derivative. Second-order derivatives. Application of Derivatives: Rate of change, increasing/decreasing functions, tangents and normals, maxima and minima. |
Algebra | Permutations and Combinations: Fundamental principles of counting. Factorial n. Permutations and combinations- derivation of formulae and their connections. Applications. Binomial Theorem: Binomial theorem for positive integral indices. Pascal’s triangle. General and middle term in binomial expansion. Applications. Complex Numbers: Motivation for complex numbers. Representation of complex numbers in the plane as a pair of real numbers and their representation of the form a+ib. Polar representation and the Argand plane. Algebra of complex numbers. Modulus and conjugate of a complex number. Statement of the Fundamental Theorem of Algebra. Quadratic Equations: Quadratic equations and their solutions. Relation between roots and the coefficients of quadratic equations. Linear Inequalities: Inequalities, Algebraic solution of linear inequalities in one variable and their graphical representation. Trigonometric functions: Measures of angles and their conversions. Trigonometric functions, identities, and their geometric interpretations. Applications of trigonometric equations. Inverse trigonometric functions and properties. Graphs of trigonometric functions. |
Coordinate Geometry | Cartesian system of rectangular coordinates in a plane. Shifting of origin. Straight Lines: Slope of a line and angle between two lines. Various forms of equations of a line. General equation of a line. Distance of a point from a line. Conic Sections: Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse, and hyperbola. Standard equation of a circle, the general form of the equation of a circle. |
Integral Calculus | Integration: Integration as inverse process of differentiation. Integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration of a variety of functions by substitution, by partial fractions, by parts and using trigonometric identities. Evaluation of integrals of some standard types. Fundamental theorem of calculus. Basic properties and evaluation of definite integrals. Applications of Integration: Finding the area of region under simple curves. Finding the area of the region between two simple curves. Definition, order, degree. Formation of a differential equation. Solution by separation of variables. Homogeneous differential equation of first order and degree. Solution of the equations dy/dx +P y=Q where P and Q are functions of x or constant and similarly for dx/dy +P x=Q where P and Q are functions of y or constant. |
IAT 2026 Mathematics Preparation Tips
Mathematics is considered one of the most challenging yet highly scoring sections in the IAT 2026 examination. Candidates aiming for admission to top IISER institutes must focus on strengthening conceptual understanding, problem-solving speed, and regular practice. Since the IAT exam tests analytical thinking rather than direct formula application, aspirants should prepare strategically with proper revision and mock test practice.
Understand the IAT Mathematics Exam Pattern
Before starting preparation, candidates must understand the syllabus and question trend of the Mathematics section. The IAT Mathematics syllabus is mainly based on the NCERT Class 11 and 12 curriculum and includes chapters from Algebra, Calculus, Coordinate Geometry, Trigonometry, Probability, and Vector Mathematics. Questions are generally conceptual and require logical application of formulas and methods.
Focus on High-Weightage Topics
Instead of covering all chapters equally, candidates should prioritise topics that consistently carry more questions in the examination.
Strengthen NCERT Fundamentals
NCERT textbooks should be the primary source for IAT Mathematics preparation. Many conceptual questions in the examination are directly based on NCERT fundamentals. Candidates should thoroughly study:
Definitions
Theorems
Formula derivations
Standard examples
Exercise problems
A strong command of basic concepts helps in solving advanced application-based questions efficiently.
Create a Formula Revision Notebook
Mathematics requires continuous revision of formulas and concepts. Candidates should prepare a separate notebook containing:
Important formulas
Short tricks
Theorems
Common identities
Frequently used concepts
Daily revision of formulas can significantly improve speed during the examination.
Practice Time Management
Many students struggle in Mathematics due to lengthy calculations and poor time management. To improve speed:
Solve questions with a timer
Attempt sectional tests regularly
Learn approximation techniques
Avoid spending too much time on a single problem
Candidates should develop the habit of identifying easy, moderate, and difficult questions quickly during mock tests.
Solve Previous Year Papers
Previous year papers are one of the best resources for IAT preparation. They help candidates understand:
Question pattern
Repeated concepts
Difficulty level
Chapter-wise weightage
Candidates should solve at least the last 5–7 years of papers in exam-like conditions.
Why SciAstra IAT PYQs Book Stands Out?
✔ Fully solved IAT Previous Year Questions from 2017–2025
✔ Detailed video solutions for PYQs and mock tests
✔ Latest IAT pattern-based mock tests included
✔ Predict your expected All India Rank using performance analysis
✔ Free revision lectures access for quick concept strengthening
✔ Bonus QR-code resources with preparation tips and extra material
✔ Pan India FREE Delivery
Attempt Regular Mock Tests
Mock tests are essential for improving exam temperament and accuracy. Candidates should begin full-length mock tests after completing most of the syllabus. After every mock test:
Analyze mistakes
Identify weak chapters
Improve speed
Revise incorrect concepts
Consistent mock test analysis plays a major role in score improvement.
Crack IAT 2026 with the Ultimate IISER Mock Test Book by SciAstra
The IISER Aptitude Test Mock Book (2025-26) by SciAstra Store is specially designed by mentors from IISc, IISERs, NISER, IITs, and top research institutes to help aspirants master the actual exam difficulty and improve their score through strategic practice.
Why Students Prefer the SciAstra IAT Mock Book?
20+ Full-Length IAT Mock Tests with detailed solutions
Chapter-wise practice tests for Physics, Chemistry, Mathematics & Biology
Previous Year Questions with trend analysis
Real exam-level difficulty and time-management practice
QR-code access to additional resources, tips & solutions
Designed specifically for IISER/IAT aspirants by research mentors
Common Mistakes to Avoid
Many aspirants lose marks due to avoidable mistakes, such as:
Ignoring NCERT basics
Memorising formulas without understanding
Avoiding difficult chapters
Lack of revision
Not analysing mock tests
Spending excessive time on one question
Avoiding these mistakes can improve overall performance considerably.
