Math Topic-wise JEE Advanced Previous Year Question with Solutions

Solving the JEE Advanced Previous Year Questions topic by topic is the quickest way to see how JEE Advanced asks Maths. Each topic below opens a page of previous year questions from IIT-JEE and JEE Advanced papers, with the answer key and solutions, so that you can practise one chapter at a time after you finish its theory. Pick a unit, solve the topic questions, note your mistakes, and then move to full papers.

Math Topic-wise JEE Advanced Previous Year Questions at a Glance

Algebra: JEE Advanced Maths PYQs with Solutions

• Complex Number PYQs
• Quadratic Equation PYQs
• Sequence and Series PYQs
• Logarithm PYQs
• Permutation and Combination PYQs
• Binomial Theorem PYQs
• Probability PYQs
• Matrices PYQs
• Determinants PYQs

Trigonometry: JEE Advanced Maths PYQs with Solutions

• Compound Angle PYQs
• Trigonometric Equation PYQs
• Inverse Trigonometric Function PYQs
• Solution of Triangle PYQs

Coordinate Geometry: JEE Advanced Maths PYQs with Solutions

• Straight Line PYQs
• Circles PYQs
• Parabola PYQs
• Ellipse PYQs
• Hyperbola PYQs

Calculus: JEE Advanced Previous Year Questions with Solutions

Calculus has the most topic pages of all the units, so plan more time for it.

• Functions PYQs
• Limit PYQs
• Continuity PYQs
• Differentiability PYQs
• Methods of Differentiation PYQs
• Monotonicity PYQs
• Maxima and Minima PYQs
• Indefinite Integration PYQs
• Definite Integration PYQs
• Area Under the Curve PYQs
• Differential Equation PYQs

Vectors and 3D Geometry: JEE Advanced Previous Year Questions with Solutions

• Vector PYQs
• 3D Geometry PYQs

How to Use JEE Advanced Maths Previous Year Questions Topic-wise

1. Finish the topic in theory first, with its solved examples, so that the previous year questions test what you know and not what you have not read.
2. Attempt the topic page without looking at the solutions, and mark the questions that you could not solve or got wrong.
3. Read the solution of every question that went wrong, and write the idea or the formula that you missed in one line.
4. Redo the wrong questions after a week, without the notes.
5. After 4 or 5 topics, take a full paper to check how you do when the topics are mixed.

💡 Tip from the eSaral Academic Team: Keep a one-page mistakes list for each Maths topic. In JEE Advanced, the same type of mistake (a missed case, a sign error or a wrong condition) repeats across questions, and a short list that you read before a test is worth more than solving extra questions.

What JEE Advanced Maths Previous Year Questions Teach You

The JEE Advanced Previous Year Questions show more than the answers. Over the years, the Maths papers have mixed question types: single-correct, multiple-correct, numerical-answer and paragraph-based questions. They often combine two or three concepts in one question, for example a calculus idea inside an algebra problem. When you solve a topic page, notice which concepts are joined, and not only which formula is used. This is the pattern that full papers test again and again, and it is why topic-wise practice should be followed by mixed practice.

Common Mistakes While Solving JEE Advanced Maths PYQs

• Opening the solution too early. Give each question a fair attempt first, and then compare.
• Treating multiple-correct questions like single-correct ones. Check every option on its own, and check the marking rule in the paper’s instructions.
• Solving without a timer. Once a topic is clear, time yourself, because speed matters in the real paper.
• Ignoring the questions that went wrong. Write the missed idea down, and redo the question after a week.
• Jumping to a new topic before the old one is steady. Two topics done well are better than five done halfway.

A Simple Weekly Plan for Topic-wise Practice

You can follow this plan with the topics on this page. On the first two days, revise the theory and the solved examples of one topic. On the third day, attempt its previous year questions without the solutions. On the fourth day, study the solutions and the mistakes. On the fifth day, redo the wrong questions, and on the weekend, take a short mixed test from the topics that you have finished. Repeat the cycle with the next topic, and use eSaral’s full JEE Advanced papers when four or five topics are done.

After the Topic-wise JEE Advanced Previous Year Questions: Full JEE Advanced Papers

Previous year questions on the topic pages are mostly from IIT-JEE and JEE Advanced papers up to 2018, and each question shows its paper and year. For the more recent papers, practise complete sections from eSaral’s JEE Advanced exam papers, which has the papers from 2019 to 2026 with solutions, under real exam conditions. Then judge your overall preparation.

Physics, Chemistry and JEE Main Topic-wise Questions

• Chemistry Topic-wise JEE Advanced Previous Year Questions with Solutions
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• Topic-wise JEE Main Previous Year Questions with Solutions