IISER Mathematics Sample Paper 2026 mirrors the 15-question Maths section that runs in the IAT 2026 paper on June 07, 2026. Each correct answer adds 4 marks, each wrong one cuts 1 mark, and the entire syllabus stays inside NCERT Class XI and XII Mathematics. Collegedunia provides free IISER Mathematics sample papers with detailed solutions.
- Maths splits between fast-scoring chapters like Algebra and Inverse Trigonometric Functions, and slow Calculus and 3D Geometry problems that take 4 to 5 minutes each. The 3 minutes per question average hides this gap, and sample papers help you find your own pace inside each chapter.
- IAT Maths sticks to NCERT Class XI and XII strictly. There are no olympiad-style twists, no proofs, no application-heavy hybrid problems. Sample papers built on the 2026 scope keep you from wasting time on harder problem sets.
- No calculator means every Determinant evaluation, every Integration step, and every Probability ratio gets solved by hand. Sample papers train you to do these faster without losing accuracy.
IISER Mathematics Sample Papers 2026: Download PDF
How to Solve IISER Mathematics Sample Papers
Maths is the section where time discipline decides your score. Calculus and 3D Geometry questions can each take 5 minutes, while Inverse Trigonometric Functions and basic Algebra settle in under a minute. The method below uses that gap to your advantage.
- Replicate the centre setup: Use a 45 minute timer, a plain rough sheet, no calculator, and no formula notes. IAT does not allow any external aids in the Maths section, so practising without them gets your mind ready for the real test.
- Sort the 15 questions by expected time: Spend the first 2 minutes flagging the quick wins (Matrices basics, Inverse Trig, Determinants of 2x2 type) and the long solvers (Integration, 3D Geometry, Conic Sections). The order you attempt them in matters more than raw speed.
- Open with the chapters that need almost no setup: Matrices, Inverse Trigonometric Functions, Linear Programming basics, and elementary Probability questions usually finish in under a minute each. Three or four of these clear 12 marks before the 8-minute mark.
- Skip Integration that does not click in 90 seconds: Integration by substitution, by parts, or partial fractions can swallow 4 minutes if the first attempt is wrong. Mark it for review and move on. A skipped 0 beats a wrong -1 that cost you 4 minutes of solving.
- Watch for sign errors and limits of integration: The most common Maths mistake on IAT is a sign flip in Determinants or a wrong upper limit in definite Integration. Double-check signs before you mark the option.
- Review the paper properly:
- Score Algebra, Calculus, Geometry, and Probability separately to see which chapter group leaked marks.
- Tag each wrong answer: sign error, formula slip, misread question, or no idea about the chapter.
- Keep a notebook of integration formulas, vector identities, and probability rules you keep forgetting.
- Solve the wrong and skipped questions again the next morning, untimed, until the right method becomes automatic.
IISER Mathematics Sample Paper 2026: Importance
Maths is the section where small slips compound into big mark losses. A clean 12 of 15 attempt with no slips beats a rushed 14 of 15 with three wrong answers. Sample papers train you to avoid the slips that cost the most.
- Calculus weight on the paper: Calculus chapters (Limits, Differentiation, Applications, Integration) together cover about 4 of the 15 questions. Sample papers tell you whether your Integration speed is exam-ready or still slow.
- Time discipline matters most here: Maths has the widest spread of per-question time. A 5-minute Integration sits next to a 30-second Inverse Trig question. Sample papers train you to recognise which is which in seconds.
- The Determinant calculation habit: Without a calculator, even a 3x3 Determinant takes 30 to 45 seconds. Sample papers help you make this routine so it stops eating into your problem-solving time.
- Vectors and 3D Geometry as a steady mark group: These chapters give about 2 questions every year, but most students do not practise them enough. Sample papers give you the volume needed to spot the standard patterns.
- Probability needs both Class XI and Class XII covered: Class XI Probability is basic counting, while Class XII includes Bayes' theorem and conditional probability. Sample papers show you which type came up in the year you are practising.
- Score predictability: Maths scores across 4 to 5 sample papers tend to be the most stable predictor of your actual IAT Maths score. If you average 45 across sample papers, expect roughly the same on test day.
Why Choose Collegedunia's IISER Mathematics Sample Paper 2026
Many IISER Mathematics sample papers online either drop into easy fact-recall (which IAT does not test) or pile on olympiad-level twists (which IAT also does not test). Collegedunia's 2026 papers stay at the right NCERT depth.
- Tuned to IAT 2026: Every paper follows the 15-question Maths pattern and the +4/-1 marking the actual exam uses.
- Strictly NCERT depth: Questions stay inside Class XI and XII NCERT. No olympiad-style twists, no proofs, no application-heavy hybrids.
- Step-marked solutions: Every solution shows the algebraic steps, the integration substitutions, and the geometry constructions in full. You can spot exactly where your method differs.
- Spread across the syllabus: One paper does not load up 6 Integration questions and skip Algebra. The chapter mix follows the published IAT pattern.
- Easy review flow: Hyperlinked navigation between each question and its solution, so you can flip back and forth during review without scrolling.
- Free download: Every IISER Mathematics sample paper PDF is free. No signup, no email, no payment.
IISER Mathematics Sample Paper 2026: Understanding the Exam Pattern
IAT 2026 happens on June 07, 2026 across 4 subjects worth 60 marks each. Maths is one of those four, and a strong Maths score has no shortcut: you have to solve every question fully because partial credit does not exist on MCQs. The full pattern is given below with Maths at the top.
| Section | No. of Questions | Marks per Correct | Negative Marking | Total Marks |
|---|---|---|---|---|
| Mathematics | 15 | +4 | -1 | 60 |
| Biology | 15 | +4 | -1 | 60 |
| Chemistry | 15 | +4 | -1 | 60 |
| Physics | 15 | +4 | -1 | 60 |
| Total | 60 | 240 |
IAT Marking Scheme: +4 for every correct answer, -1 for every wrong answer, 0 for unattempted questions. All four section scores add to your final 240.
Duration: 180 minutes total (about 45 minutes for Maths) | Mode: CBT (online) | Language: English | Calculator: Not allowed
IISER Mathematics Sample Paper 2026: Topic-wise Weightage
Calculus and Algebra together cover roughly 40% of the IAT Maths section, with the rest spread across Coordinate Geometry, Vectors, Matrices, and Probability. The table below shows the typical distribution across NCERT chapters.
| Topic | Avg Qs/year | % Weight | Priority |
|---|---|---|---|
| Algebra (Complex Numbers, Quadratic Equations, Sequences, P&C, Binomial Theorem) | 3 | 20% | High |
| Calculus: Limits, Differentiation and Applications of Derivatives | 2 | 13% | High |
| Integration and Application of Integrals | 2 | 13% | High |
| Vectors and Three-Dimensional Geometry | 2 | 14% | High |
| Probability (Class XI and Class XII) | 2 | 13% | Medium |
| Coordinate Geometry (Straight Lines, Conic Sections) | 1 | 7% | Medium |
| Matrices and Determinants | 1 | 7% | Medium |
| Trigonometric and Inverse Trigonometric Functions | 1 | 6% | Medium |
| Differential Equations | 1 | 7% | Low |
Based on the previous year's trend analysis. The IISERs do not officially release chapter-wise weightage. IISER Maths stays strictly within the NCERT Class XI and XII scope.
Mistakes to Avoid While Solving Sample Papers
IISER Mathematics mistakes usually come from rushing through Calculus and from skipping the small chapters that pay back fast. Watch out for these.
- Avoiding Integration practice because it feels slow. Integration alone shows up in about 2 questions every year, and that is 8 marks you cannot afford to miss.
- Skipping Vectors and 3D Geometry because they look intimidating. NCERT keeps both chapters at a basic geometric level, and 2 questions every year reward steady revision.
- Trusting shortcut tricks on Limits and Indeterminate Forms. IAT MCQs sometimes set up options that match the wrong shortcut. The full method beats the trick on this paper.
- Guessing on Determinant questions. A single sign error in a 3x3 expansion flips the entire answer, so skip if your row-reduction does not feel right.
- Practising with a calculator. IAT 2026 does not allow one, and a calculator habit slows you down at the centre when every Determinant and Probability ratio has to be done by hand.
- Solving without reviewing afterward. A sample paper gives back its real value during the review, not during the attempt.
FAQs
Ques. Are IISER Mathematics sample papers based on the latest syllabus?
Ans. Yes. These IISER Mathematics sample papers follow the IAT 2026 pattern published by the IISERs. Every question stays inside the NCERT Class XI and XII Maths scope and uses the same +4/-1 marking as the actual paper.
Ques. Which Mathematics chapters carry the highest weightage in IISER IAT 2026?
Ans. Algebra leads at 3 of the 15 questions on a typical paper. Calculus (split between Differentiation and Integration) covers another 4. Vectors and 3D Geometry add 2, and Probability adds 2 more. Together these account for about 75% of the 15 Maths questions.
Ques. How many IISER Mathematics sample papers should I solve?
Ans. 8 to 12 full Mathematics papers in the final 6 to 8 weeks, paired with chapter-level practice on your weakest chapter. Reviewing each one carefully matters more than the raw count.
Ques. Is NCERT enough for IISER Mathematics 2026?
Ans. Yes. NCERT Class XI and XII Mathematics covers the full IAT 2026 scope. The IISERs do not test anything outside the NCERT syllabus, so going past it wastes your time. Sample papers and previous year questions build the speed and pattern recognition NCERT alone cannot give.
Ques. Should I focus on Algebra or Calculus for IAT 2026?
Ans. Both deserve focused prep. Algebra (Complex Numbers, Quadratic Equations, Sequences, P&C, Binomial) usually scores faster because most questions are formula-direct. Calculus (Differentiation and Integration) is heavier in mark value but takes longer per question. A 60-40 split of revision time in favour of Algebra is a workable starting point.
Ques. Is a calculator allowed in IISER Mathematics 2026?
Ans. No. IAT 2026 does not provide an on-screen calculator, and personal calculators are not allowed in the centre. Every Determinant, every Probability ratio, every Integration step has to be done by hand. Sample paper practice without a calculator is the only way to get faster.









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