JEE Main & Advanced Maths 2025 - Complete Topic-Wise Guide, Study Plan & High-Yield Tricks
Disha 22 Jul, 2025PW Disha is a one-on-one mentorship platform by Physics Wallah that connects students with mentors for JEE and NEET preparation.
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Disha 22 Jul, 2025
Physics and Chemistry reward rote formulas; Mathematics measures raw concept integration plus time management. One extra correct Math question can shift your percentile by 3-5 points in crowded score bands, making it the single largest lever for rank jumps in both JEE Main and Advanced.
|
Block |
Topics |
|
Algebra |
Complex Numbers, Quadratic Equations, Progressions, Binomial & Permutation-Combination, Matrices & Determinants |
|
Calculus |
Limits, Continuity, Differentiability, Application of Derivatives, Indefinite & Definite Integrals, Differential Equations, Area & Volume |
|
Coordinate Geometry |
Straight Line, Circle, Parabola, Ellipse, Hyperbola, 3-D Geometry, Vectors |
|
Trigonometry |
Identities, Inverse Trig, Properties of Triangles, Heights & Distances |
|
Statistics & Probability |
Mean/Variance, Standard Deviation, Bayes’ Theorem, Binomial & Poisson |
(Keyword insert: “JEE Main Maths syllabus 2025”, “JEE Advanced Maths topics”)
|
Unit |
Avg. Qs (Main) |
Weight % |
Difficulty |
|
Calculus |
9-10 |
28 % |
Moderate-Hard |
|
Algebra |
8-9 |
25 % |
Moderate |
|
Coordinate Geometry |
5 |
17 % |
Moderate |
|
Vectors & 3-D |
3 |
10 % |
Easy-Moderate |
|
Trigonometry |
2 |
7 % |
Easy |
|
Stats & Probability |
3 |
13 % |
Moderate |
Trend insight: Calculus saw a 12 % spike in tough “application of derivatives” questions in JEE Main 2024-expect similar emphasis in 2025.
|
Phase |
Duration |
Focus |
Actionables |
|
Concept Boot |
Month 1 |
Basics & Formula Sheet |
NCRT examples + reference theory (RD Sharma) |
|
Foundation Reinforce |
Months 2-3 |
Mid-level problems |
Daily 50 MCQs + PYQs 2019-2023 |
|
Advance Drill |
Months 4-5 |
Mixed-concept, multi-step problems |
Irodov-style sets, FIITJEE GMP sheets |
|
Mock-Sprint |
Month 6 |
Exam simulation |
15 CBT mocks ⇒ error log ⇒ targeted review |
Pro tip: Lock Calculus slots in your freshest mental hours (early morning) and push repetitive Algebra drills to post-lunch low-energy segments.
Concept Theory - Cengage Maths Series by G. Tewani
Practice Bank - Tata McGraw-Hill “Course in Mathematics” by TMH team
Short Tricks - Objective Mathematics Vol 1 & 2 by R.D. Sharma
Mock CBTs - NTA’s Abhyas app (free), Allen Online Test Series
SEO keyword cluster: “best books for JEE Maths 2025”, “top JEE maths online mock tests”.
90/10 Rule - 90 min deep-solve, 10 min solution audit.
Error Log Spreadsheet - columns for concept gap, silly mistake, time overrun.
3-Level Revision - 24 hr, 7-day, 21-day spaced recall using flashcards or Anki.
Triangle area via matrix determinant trick speeds coordinate geometry by 30 %.
King Rule mnemonic for permutations (nPr vs nCr).
Use telescoping series recognition to kill integration sums in <45 s.
Section sequencing: start with 3-marker easy numericals to secure momentum.
Time split: 45 min easy, 45 min moderate, 30 min tough, 10 min revisit.
Post-mock ritual: annotate every error with its root cause inside your log.
|
Pitfall |
Fix |
|
Over-collecting study material |
Cap resources: 1 text, 1 problem bank, 1 test series |
|
Leaving vectors for last week |
Integrate vectors with 3-D early (shared concepts) |
|
Formula hoarding without usage |
After each new formula, solve 3 application Qs immediately |
One-to-one mentors analyse your error log, custom-design timed drills, for killer topics like definite integrals via properties or P&C with restrictions. Book a session and get a personalised maths sprint schedule within 10-20 mins.
Finish all PYQs 2015-2024 by October.
Complete error log review every Sunday.
Attempt at least 15 CBT mocks under real exam timing.
Revise formula sheet nightly for 10 minutes.
Practise mental calculation drills (square, cube roots) daily.
JEE Maths success = strong fundamentals + ruthless practice + smart time splits. Follow the four-phase plan, keep a tight error log and leverage proven mock-test tactics. Start now, iterate weekly-and watch your Math percentile sky-rocket.
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