Practise over 2,800+ solved JEE Main questions arranged strictly in pedagogical learning order. Build your cognitive ladder from foundational inequalities and functions to multi-concept calculus, vectors, 3D geometry, and stochastic probability. Includes complete weightage analysis, NTA rationalized syllabus alerts, and 2019–2026 shift papers.
In JEE Mathematics, chapters cannot be studied in isolation. Each unit constructs the conceptual toolkit and algebraic muscle required by the next stage.
Master Wavy Curve inequalities, modulus equations, and logarithms before exploring domain, range, injectivity, and inverse mappings.
Progress from Quadratics and Complex Numbers to Progressions, Combinatorics (P&C), Binomial Expansions, and Matrix Determinants.
Compound angles, transformation formulae, and Inverse Trigonometric Functions provide the primary substitution language for integrals and geometry.
Linear geometry of Straight Lines and Circles expands systematically into Parabola, Ellipse, and Hyperbola using eccentricity and focal properties.
L'Hôpital's rule and differentiability lead into Applications of Derivatives (AOD): Monotonicity, Maxima-Minima, and Mean Value Theorems.
Master anti-derivatives and symmetry-based Definite Integrals (King's Rule, Leibniz theorem) before computing Areas and solving Differential Equations.
Vector dot/cross products transition seamlessly into 3D lines, skew distances, and spatial projections. Consistently the highest ROI in JEE Main.
Direct variance/standard deviation computations combine with Bayes' theorem and binomial probability distributions for guaranteed scoring.
Conducted by the National Testing Agency (NTA). 100 Marks across two distinct sections with negative marking.
Based on empirical question frequency across 120+ official NTA shifts from 2019 to 2026.
| Pedagogical Unit | Chapters | Avg Qs / Shift | Weightage (% Marks) | Difficulty Rating | Prep Priority |
|---|---|---|---|---|---|
| Unit 7: Vectors & 3D Geometry | Ch 23, 24 | 3 to 4 Qs | 12% – 16% | Moderate (Algorithmic) | |
| Unit 5: Differential Calculus | Ch 16, 17, 18 | 4 to 5 Qs | 16% – 20% | Moderate to Tough | |
| Unit 6: Integral Calculus | Ch 19, 20, 21, 22 | 4 to 5 Qs | 16% – 20% | Moderate (Formula-Heavy) | |
| Unit 2: Core Algebra | Ch 03, 04, 05, 06, 07, 08 | 7 to 8 Qs | 28% – 32% | Easy to Moderate | |
| Unit 4: Coordinate Geometry | Ch 11, 12, 13, 14, 15 | 4 to 5 Qs | 16% – 20% | Moderate to Lengthy | |
| Unit 8: Probability & Statistics | Ch 25, 26 | 2 to 3 Qs | 8% – 12% | Easy (Stats) / Medium (Prob) | |
| Unit 3: Trigonometry & ITF | Ch 09, 10 | 1 to 2 Qs | 4% – 8% | Moderate | |
| Unit 1: Foundations & Functions | Ch 01, 02 | 2 to 3 Qs | 8% – 12% | Conceptual |
Practise real full-paper shifts under timed exam conditions with step-by-step marking schemes and analytical shortcuts.
Mathematics in JEE Main is widely considered the toughest and most time-intensive subject. Efficiency and strategic question selection determine your percentile.
Do not exceed 60–65 minutes in Maths during the 3-hour exam. Allocate the first 10 minutes to grab low-hanging fruit (Statistics, Matrices, Vector projections) before diving into multi-step calculus.
In Section B, you have 10 questions but only need 5. Immediately reject questions requiring multi-case conic tangents or complex word formulations; pick direct formula-driven topics.
In Section A multiple choice questions, testing small integer values (e.g. n = 1, 2 in Binomial series, or θ = 0, π/4 in Trigonometry) often eliminates 3 wrong choices in under 45 seconds.
Always verify whether the domain excludes boundary values (e.g. log argument > 0, denominator ≠ 0, square root ≥ 0). Most negative marks in JEE Maths arise from extraneous algebraic roots.
Essential guidance on pedagogical sequencing, syllabus changes, and high-efficiency prep.
JEE Main Mathematics is strictly hierarchical. Advanced topics like Differential Calculus, Coordinate Geometry, and Probability depend directly on prerequisites such as Functions, Modulus, Inequalities, and Permutations & Combinations. Following a pedagogical learning progression ensures you acquire prerequisite algebraic tools before attempting multi-concept calculus or conic questions.
JEE Main Mathematics carries 100 marks out of 300. The paper consists of 30 questions divided into Section A (20 compulsory MCQs with +4/-1 marking) and Section B (10 Numerical Value Questions where candidates must attempt any 5, also with +4/-1 marking).
The highest ROI units in JEE Main Maths are Vectors and 3D Geometry (typically 3 to 4 questions per shift), Matrices and Determinants (2 questions), Definite Integration & Area (2 to 3 questions), Sequences and Series (1 to 2 questions), and Statistics (1 predictable question per shift). Mastering these ensures 40+ marks with high certainty.
The NTA updated the JEE Main syllabus by removing Mathematical Reasoning, Heights & Distances, and Mathematical Induction, while trimming standard tangent/normal formulas in conic sections and planes in 3D geometry. When practising 2019-2023 PYQs, prioritize questions on the retained syllabus and practice general calculus methods for tangency.
Scan all 10 numerical questions before solving. Prioritize direct algorithmic topics with minimal arithmetic ambiguity, such as Statistics (variance computation), Matrices (determinant equations), or Definite Integrals (King's property). Avoid multi-case coordinate geometry or lengthy P&C questions unless you have confirmed the solution.
Solving shift-wise PYQs from 2019 to 2026 (over 2,500 questions across multiple exam shifts) is the most effective preparation. Because NTA conducts exams across 10-12 shifts per year, 2019-2026 PYQs provide complete coverage of every possible question variation and trap.