Topper Story: Perfect 120/120 in JEE Main Maths

Aditya Sharma from Pune scored a perfect 120 out of 120 in JEE Main Mathematics in the January 2025 session, placing him among a handful of students who achieve full marks in any JEE Main subject nationally. He answered all 30 questions correctly under timed conditions, including the five integer-type questions. This is his account of how he prepared and what he believes separates 100 from 120.

The Foundation: Understanding Over Speed

"Most students who score 95-100 in JEE Main Math are fast. The ones who score 120 are not just faster — they are correct. My goal was zero errors, not maximum speed. A single careless error on one integer-type question means 4 marks lost without negative marking recovery. So I practised being right on every problem before I practised being fast."

His preparation philosophy: master each chapter until 95% of problems are solved correctly on the first attempt before moving to timed practice. "I never practised a chapter under time pressure until I had solved at least 50 problems in that chapter without a timer and understood every mistake. Speed is a consequence of understanding, not something you train separately."

Chapter Prioritisation

"I mapped every JEE Main chapter to three numbers: how many questions it typically gives (marks potential), how many hours to master it (time cost), and my current accuracy in it. The ratio — marks potential divided by time cost, adjusted for current accuracy — gave me a priority score. Calculus scored highest by far: 6-7 questions, masterable in 4-6 weeks, and my accuracy improved fastest with targeted practice." Aditya spent eight weeks on calculus — limits, continuity, differentiation, integration, and applications — before moving to any other chapter. Take a free mock test on JEE Main Mathematics to measure your current accuracy by chapter.

The Error Log: The Most Important Notebook

"I had one mathematics notebook that mattered more than any textbook: my error log. Every wrong answer in practice — whether in a chapter test, mock test, or homework problem — went into this notebook with three elements: (1) what the problem asked, (2) what mistake I made, (3) what understanding I lacked that caused the mistake. I reviewed this notebook every Sunday morning."

His error analysis revealed a pattern: "Sixty percent of my mistakes were one of three things: sign errors in integration by parts, applying the wrong formula when two formulas looked similar (like area of ellipse vs. area under curve), or overlooking a domain restriction in functions. These three patterns accounted for nearly all my lost marks. I created specific drills to target each one — the sign errors in IBP, I slowed down and rewrote every term carefully; the formula confusion, I made a comparison table; the domain issues, I always wrote the domain first before doing anything else."

Mock Test Strategy: Quality Over Quantity

"I took 12 full-length mocks in the four months before the exam — roughly one per week. I know some students take 40+. But I spent four hours analysing each mock after completing it, so the total mock investment was about 6 hours per week. I am convinced the analysis time matters 10x more than the number of mocks." After each mock, he would identify the 3 questions he took longest on and diagnose whether the time was caused by a knowledge gap, a formula retrieval delay, or a calculation error. He fixed each type differently.

The Final 3 Weeks

"In the final three weeks, I did one full mock every two days and spent the off days on my error notebook and quick revision of formulas. I slept 8 hours every night — non-negotiable. My accuracy in mock tests was 96-98% going into the exam. On exam day, I checked every answer twice before moving on and flagged any question where I felt even 5% uncertainty for review. I ended with 25 minutes to spare and reviewed all flagged questions." He credits the final-week discipline — not touching new material and trusting his preparation — as critical.

For the calculus and coordinate geometry chapters that dominated Aditya's preparation, see our Calculus Guide and Coordinate Geometry Guide. Upgrade for ₹149/month for the chapter-level analytics and error-tracking tools that Aditya's approach used.