Your JEE Main Mock Drill for This Chapter
This is a 27-question practice quiz in the JEE Main pattern, built strictly on the topics the current official NTA syllabus lists for this chapter: rate of change of quantities, monotonic (increasing/decreasing) functions, and maxima–minima of functions of one variable. (Tangents/normals and MVT questions are excluded here — they moved out of the Main syllabus in the 2024 rationalisation; practise them in the JEE Corner section if Advanced is your target.)
These questions are modelled on the JEE Main pattern and difficulty; they are practice questions in the exam style, not reproductions of specific past papers.
The mix mirrors a real paper: roughly a quarter direct formula questions you should finish in under a minute, half standard two-step problems, and a quarter multi-step or trap questions of the kind that separate 99 percentilers.
[JEE Tip] Attempt all 27 in a single 60-minute sitting before reading any explanation — in the real exam this chapter's questions must average about 2 minutes each. Then read the explanation of every question, including the ones you got right: several explanations carry shortcuts (AM-GM, the split, endpoint traps) that will save you time on exam day.
Score Yourself Like the Exam
Use JEE Main marking: +4 for a correct answer, −1 for a wrong one, 0 for skipped. Maximum score 108.
| Score | Reading |
|---|---|
| 88+ | Excellent — this chapter is exam-ready; move to full-syllabus mocks |
| 64-87 | Solid — revisit the explanations of your errors, re-attempt those in 3 days |
| 40-63 | The concepts are in place but speed/accuracy needs work — redo Sections 2-4 solved examples with a timer |
| Below 40 | Rebuild from Section 2 (monotonicity) and Section 3 (derivative tests) before re-attempting |
Key Point: In JEE Main, a skipped question costs 0 but a guessed wrong answer costs −1 AND a wasted minute. If a question resists you for 30 seconds with no plan forming, mark it for review and move on — disciplined skipping is a scoring skill this drill should also train.