JEE Main Maths · Previous Year Questions
JEE Main Mathematics PYQ Chapter-Wise (2002–2025) with Solutions
Every JEE Main Mathematics question NTA has asked since 2002 — sorted chapter-wise across Calculus, Algebra, Coordinate Geometry and Vectors, with step-by-step KaTeX-rendered solutions. Maths is the subject where speed differentiates a 60 from a 90, and speed is trained only by repeatedly solving the patterns NTA actually uses.
Our 10-year weightage analysis shows that Calculus (Differentiation + Integration + Limits) alone contributes ~25% of the Maths section, Coordinate Geometry another 15%, and Algebra ~25%. Get these three bands to near-mastery accuracy and you lock in a 70+ Maths score before touching the remaining chapters.
Mathematics Chapters with PYQ Coverage & Weightage
Calculus + Coordinate Geometry + Algebra are the rank decider in Maths. Weightage below is the 10-year average; plan chapter order accordingly.
| Chapter | Weightage (approx) | Typical Questions |
|---|---|---|
| Sets, Relations & Functions | 4% | 1 |
| Complex Numbers | 5% | 1–2 |
| Quadratic Equations & Inequalities | 4% | 1 |
| Matrices & Determinants | 6% | 2 |
| Permutations & Combinations | 4% | 1 |
| Binomial Theorem & Applications | 4% | 1 |
| Sequences & Series | 5% | 1–2 |
| Limits, Continuity & Differentiability | 7% | 2 |
| Differentiation & Applications of Derivatives | 8% | 2 |
| Integration (Definite & Indefinite) | 8% | 2 |
| Differential Equations | 4% | 1 |
| Area Under Curves | 3% | 1 |
| Straight Line & Pair of Lines | 4% | 1 |
| Circle | 3% | 1 |
| Conic Sections (Parabola, Ellipse, Hyperbola) | 6% | 1–2 |
| 3D Geometry | 5% | 1–2 |
| Vector Algebra | 5% | 1–2 |
| Statistics & Probability | 5% | 1–2 |
| Trigonometry (including Inverse) | 8% | 2 |
| Mathematical Reasoning | 2% | 0–1 |
How to Practise Mathematics PYQs Effectively
- 1Build the calculation core. Differentiation and Integration PYQs train the formula substitutions and algebraic simplification that every other chapter depends on.
- 2Pair Limits with Continuity/Differentiability. These three chapters share 15% weightage and feed into each other. Solve them as a block.
- 3Attack Coordinate Geometry next. Straight Line → Circle → Conic Sections, in that order. PYQs here teach parametric tricks that drop solution time by 50%.
- 4Algebra in parallel. Complex Numbers, Matrices & Determinants, Sequences & Series are formula-bounded — do 30 PYQs per chapter across 2 weeks.
- 5Run timed subject mocks. 25 questions in 60 minutes. If you're spending more than 2.5 minutes on a Maths question, skip and move on — PYQs train that discipline.
Why Mathematics PYQs Are Non-Negotiable
- Template reuse is extreme in Maths. A large share of any Maths paper reuses a template from the prior 5 years — PYQs train you to recognise the template in under 20 seconds.
- Speed is trained, not innate. Students who work through chapter-wise Maths PYQs consistently cut their average time per question from ~3 minutes to ~1.5 minutes without losing accuracy.
- Calculus compounds. Integration shortcuts learned from 2018 PYQs carry into 2023 and 2024 PYQs unchanged.
- Partial marking absent, discipline rewarded. Every 4 marks costs 1 on a wrong guess — PYQs train the “I have the approach OR I skip” muscle that protects your score.
Chapter Deep-Dives
Jump into a single chapter for focused PYQs, sub-topic breakdowns and common-mistake callouts.
Related JEE Main Practice
Frequently asked questions
What JEE Main Maths PYQs are on exam.fit?
Chapter-wise Maths questions spanning 2002–2025. Every question is tagged with chapter, sub-topic, year, session, difficulty and — for Calculus — the integration/differentiation technique used.
Which Maths chapters carry the highest JEE Main weightage?
Differentiation & Applications (~8%), Integration (~8%), Trigonometry (~8%), Limits & Continuity (~7%), Matrices & Determinants (~6%), Conic Sections (~6%), Complex Numbers (~5%), Sequences & Series (~5%), 3D Geometry (~5%) and Vectors (~5%). The top 5 alone drive 37% of the Maths section.
Can I clear JEE Main Maths with NCERT alone?
NCERT is the baseline but insufficient for Maths. JEE Main Maths PYQs assume fluency with parametric forms, integration-by-parts patterns and algebraic identities not emphasized in NCERT. Pair NCERT with chapter-wise PYQs for a realistic prep.
How much time should I spend on Maths PYQs?
Plan 120–150 hours across 3 months — roughly 1.5 hours per high-weightage chapter untimed, then 1 hour timed, then 30 minutes of error review. That means working through the chapter-wise Maths PYQs across the full syllabus.
Do Maths PYQs include numerical answer questions?
Yes — our bank includes every integer and numerical-answer question from 2020 onward (when NTA introduced the format). Numerical PYQs are tagged and can be filtered separately.
Are the Maths PYQ solutions KaTeX-rendered?
Yes. Every step is rendered with KaTeX for crisp equation display on both desktop and mobile. Diagrams are SVG so they stay sharp at any zoom level.
Start Maths PYQs free today
Pick Calculus or Coordinate Geometry — the two chapters that drive 40% of your Maths score — and start practising in under a minute.
Start Free Maths Practice