JEE Main & Advanced Mathematics — Free Mock Tests & Chapter-wise Practice
Original JEE Mathematics notes and timed practice tests covering algebra, trigonometry, coordinate geometry, conics, vectors, 3D geometry, calculus, counting, and probability with concept-first revision blocks and chapter-level drills. Practice chapter-wise questions, study topic-wise notes, and attempt mathematics mock tests for JEE Main & Advanced. Free CBT-style tests with instant scoring and answer review.
Mathematics Topics
Build domain-range discipline, relation properties, composition and inverse-function thinking before moving into calculus. Built for must do JEE preparation with original notes and timed practice sets.
Master identities, transformations, equations and triangle applications with quadrant discipline. Built for high yield JEE preparation with original notes and timed practice sets.
Discriminant, root nature, location of roots, parameter ranges and sign charts are core JEE algebra tools. Built for must do JEE preparation with original notes and timed practice sets.
Treat complex numbers as algebra plus geometry: modulus, argument, loci, roots of unity and transformations. Built for high yield JEE preparation with original notes and timed practice sets.
AP, GP, HP, telescoping, sigma notation and recurrence patterns are high-return algebra topics. Built for scoring JEE preparation with original notes and timed practice sets.
Coefficient extraction, middle terms, greatest term and approximation questions reward formula fluency. Built for scoring JEE preparation with original notes and timed practice sets.
Counting improves through cases, complement method, restrictions and overcount correction. Built for high yield JEE preparation with original notes and timed practice sets.
Classical probability, conditional probability, Bayes rule and distribution thinking connect counting with logic. Built for high yield JEE preparation with original notes and timed practice sets.
Mean, variance and standard deviation are direct scoring topics when formula and data handling are clean. Built for scoring JEE preparation with original notes and timed practice sets.
Matrix operations, inverse, determinant properties and linear equations are compact but powerful scoring areas. Built for high yield JEE preparation with original notes and timed practice sets.
Slope, intercepts, angle between lines, distance formula and family of lines are the foundation of coordinate geometry. Built for must do JEE preparation with original notes and timed practice sets.
Equation, tangent, normal, chord of contact and family of circles are frequent JEE coordinate tools. Built for high yield JEE preparation with original notes and timed practice sets.
Focus-directrix definition, tangent-normal forms and chord properties build Advanced-level conic confidence. Built for advanced edge JEE preparation with original notes and timed practice sets.
Foci, eccentricity, auxiliary circle, tangent-normal and asymptotes are core Advanced conic themes. Built for advanced edge JEE preparation with original notes and timed practice sets.
Dot product, cross product, projection and scalar triple product connect algebra with geometry. Built for high yield JEE preparation with original notes and timed practice sets.
Lines, planes, distances and angles in 3D become manageable when converted to vector form. Built for high yield JEE preparation with original notes and timed practice sets.
Limits are local behaviour; continuity means value and limiting behaviour agree. Built for must do JEE preparation with original notes and timed practice sets.
Differentiability measures smooth local change and automatically implies continuity at the point. Built for must do JEE preparation with original notes and timed practice sets.
Tangents, normals, monotonicity, maxima-minima and approximation are calculus applications with high scoring value. Built for high yield JEE preparation with original notes and timed practice sets.
Integration is reverse differentiation powered by substitution, parts and partial fractions. Built for must do JEE preparation with original notes and timed practice sets.
Definite integration combines antiderivatives, symmetry, properties and geometric area interpretation. Built for high yield JEE preparation with original notes and timed practice sets.
Order, degree, variable separation and first-order linear equations are the core JEE expectations. Built for scoring JEE preparation with original notes and timed practice sets.
Statements, connectives, quantifiers and implication logic are quick marks when truth tables are clean. Built for scoring JEE preparation with original notes and timed practice sets.
A mixed coordinate module that trains switching between line, circle, parabola, ellipse and hyperbola conditions. Built for advanced edge JEE preparation with original notes and timed practice sets.
A mixed calculus module to train switching between limit, derivative, monotonicity, integral and area logic. Built for advanced edge JEE preparation with original notes and timed practice sets.
JEE Main & Advanced Mathematics — Chapter-wise Notes, Question Banks & Free Mock Tests
Mathematics is the most rank-determining subject in JEE because every mark gap in Maths directly shifts rank by hundreds. JEE Main Mathematics has 30 questions (20 single-correct MCQs + 10 numerical answer type) carrying 100 marks, while JEE Advanced Papers 1 and 2 together test Maths through single-correct, multi-correct, paragraph-based, and integer-type questions across a wider difficulty spectrum.
The JEE Mathematics syllabus covers: Sets, Relations and Functions; Trigonometry; Quadratic Equations and Inequalities; Complex Numbers; Sequences and Series (AP, GP, HP, AM-GM); Binomial Theorem; Permutations and Combinations; Probability and Statistics; Matrices and Determinants; Straight Lines; Circle; Parabola; Ellipse and Hyperbola; Vectors; Three-Dimensional Geometry; Limits and Continuity; Differentiability; Application of Derivatives (Maxima-Minima, Tangents-Normals, Mean Value Theorems); Indefinite Integration; Definite Integration and Area under Curves; Differential Equations; and Mathematical Reasoning.
LearnAtMyPlace provides 26 full chapters of original JEE Mathematics notes and 120 timed practice questions per chapter (6 sessions of 20 questions each) — covering JEE Main and JEE Advanced difficulty in separate sessions. Each chapter includes formula-linked concept notes, JEE-specific trap lists, quick revision bullets, and solved example walk-throughs. Total: 3,120+ original JEE Mathematics practice questions, all free.
High-weightage chapters for JEE Main: Coordinate Geometry (Circle, Parabola, Ellipse — 15–20% combined), Calculus (Limits, Derivatives, Integration, Differential Equations — 35–40%), Algebra (Sequences, Binomial, Matrices, Probability — 25%), and Trigonometry + Vectors (15%). For JEE Advanced: Calculus problems involving definite integrals with discontinuous functions, and Algebra involving complex numbers with geometry are classic multi-concept traps.
Recommended study loop: read chapter notes → attempt Session 1–3 (foundation + JEE Main level) → review explanations → attempt Session 4–5 (JEE Main hard + JEE Advanced) → revise traps → take chapter mock (Session 6). All tests use CBT-style navigation with per-question timers matching the actual JEE interface.
Frequently Asked Questions
How many questions are in JEE Main Mathematics?+
JEE Main Mathematics has 30 questions: 20 single-correct MCQs (+4/−1 marking) and 10 numerical answer type (NAT) questions (+4, no negative marking). Total marks: 100. Duration: 60 minutes for the Mathematics section in a 3-hour paper.
Which chapters have the highest weightage in JEE Main Mathematics?+
High-weightage JEE Main Maths chapters: Coordinate Geometry (Straight Lines, Circle, Parabola, Ellipse — 15–20%), Calculus (Limits, Derivatives, Integration, Differential Equations — 35–40%), Algebra (Sequences, Binomial Theorem, Matrices, Probability — 25%), and Trigonometry + Vectors + 3D Geometry (~15%). Coordinate Geometry and Calculus together account for more than half the paper.
Which chapters are most important for JEE Advanced Mathematics?+
JEE Advanced Mathematics focuses on multi-concept problems: Definite Integration (with discontinuities, period-based), Complex Numbers (with geometry), Probability (conditional, Bayes), Matrices (eigenvalue-level reasoning), and Conic Sections (combined with calculus). Session 5 in each chapter on LearnAtMyPlace is designed for JEE Advanced-level difficulty.
How many practice questions does LearnAtMyPlace have for JEE Mathematics?+
LearnAtMyPlace provides 120 original practice questions per chapter across 26 chapters — 3,120 JEE Mathematics questions total. Each chapter is divided into 6 sessions of 20 questions, progressing from easy foundation questions (Sessions 1–2) to JEE Main hard (Sessions 3–4) and JEE Advanced level (Sessions 5–6). All questions are free with no login required.
Are JEE Mathematics notes and questions free on LearnAtMyPlace?+
Yes, all JEE Mathematics chapter-wise notes, practice questions, and mock tests on LearnAtMyPlace are completely free. No login or subscription is required. You can attempt any session, review answers with detailed explanations, and track your chapter-wise performance.
How should I use this JEE Mathematics section for best results?+
Follow this loop per chapter: read the concept notes → attempt Sessions 1–3 (foundation to JEE Main level) → review wrong answers with explanations → attempt Sessions 4–5 (JEE Main hard + JEE Advanced level) → revise the trap list → take the full chapter test (Session 6). After all 26 chapters, attempt the subject-level mock tests to simulate exam conditions.