JEE Main Maths Chapter-wise Previous Year Questions and Preparation Tips

JEE Main Chapter wise Previous Year Questions and Preparation Tips for Maths: Maths being of one of the tough subjects requires a lot of attention and time while you prepare for the JEE Main 2020 preparation. The subject requires time management as well as problem-solving skills. Thus it is always advisable to start your JEE Main Maths preparation beforehand.

JEE Main Mathematics Previous Year Chapter Wise Questions With Solutions

Topic Wise Preparation for JEE Main Maths

There are total 16 units in JEE Main Syllabus for Maths but not all carry the same weightage. Some of the units are more important than others and must be given more importance, time and practice.

For quick perusal, the JEE Main Syllabus for Maths is divided, depending on their weightage and importance in the exam in the tips for JEE Main 2019 Preparation for Maths as given below:

Not to be missed!

Here are the 7 ‘Not to be missed’ topics that are absolutely important while preparing for JEE Maths. Questions of varying difficulty would be asked for these topics. You can expect 2-3 questions from the topics listed below:

JEE Main Mathematics Chapter-wise Weightage

S.No	Topics	Weightage
1	3-D Geometry	5%
2	Probability and Statistics	7%
3	Vector Algebra	5%
4	Integration	8% (Definite + Indefinite integration)
5	Complex Numbers	5%
6	Parabola	3%
7	Trigonometric Ratios	3%

Easy peasy!

These are the easy ones and can be used as an advantage to score more. Make sure you avoid making silly mistakes since there is negative marking in the exam.

Scoring Topics

S.No	Topics	Weightage
1	Applications of Derivative	4%
2	Limit and Continuity	3%
3	Matrices and Determinants	4%
4	Straight Lines and Pair of Straight Lines	2%

The basic ones!

These are the essentials and 1 – 2 questions from these topics in the Maths section can be expected in the JEE Main exam.

Fundamental Topics

S.No	Topics	Weightage
1	Inverse Trigonometric Functions	2%
2	Circles and Family of Circles	6%
3	Sequence and Series	5%

Once done, Right!

Yes, there are topics which once done are good to go with.
You should study them at least once before going for the exam. You can expect 3 – 4 questions from the topics below.

Some more topics

S.No	Topics	Weightage
1	Logarithms	1%
2	Quadratic Equations	–
3	Theory of Equations	5%
4	Sets, Relations and Functions	4%
5	Differentiation	2%
6	Permutation and Combination	2%
7	Binomial Theorem	1%
8	Locus	–
9	Hyperbola	2%
10	Ellipse	2%
11	Fundamentals of Mathematics	–
12	Solution of Triangle	1%

JEE Main Maths Study Tip 1: Work Smart

Smart work is as important as hard work. You may study all day but still not end up being productive. Why? This could be because your mind is not fresh all the time and needs breaks. If you push yourself to the limits and study one thing for the whole day, your efficiency will decrease gradually, and you may not be productive at all.

Ideally, you should take breaks while studying. Do not study one topic the whole day. Plan your study schedule. Also, you should give your mind and body a break from work and do some exercise or go out for a walk. Also, if you feel that you’re not able to study efficiently, consider taking a break.

JEE Main Maths Study Tip 2: Plan Each Day

Planning is as important as executing the plan. If you do not have a plan, you won’t know the direction to proceed in. Make a list of tasks that you’ll accomplish each day. The list can contain the topics that you have to study, the questions that you have to solve etc.

You should also make a tentative schedule for the day by deciding the amount of time that you will devote to each task on your to-do list. Try to stick to this schedule as much as you can, even if some days it doesn’t work out exactly the way you wanted it to.

JEE Main Maths Study Tip 3: Use the Right Books

There are many books for JEE Main mathematics preparation. However, the importance of choosing the right books cannot be emphasized enough. It is important to study from a book that explains the theory really well and solve problems from a book that has a collection of good quality problems.

If you’re solving problems from a good book, solve all the problems on that topic. Solving partial exercises from multiple books is highly discouraged. This is because you need to be exposed to the entire range of questions for that topic.

And only after you have solved all the topic questions from one book should you start solving questions on that topic from another book.

When you start a topic, firstly solve its problems from the NCERT mathematics book. This will serve two purposes. First, it will form the foundation for your JEE Main syllabus. Second, you’ll be preparing for your board exam at the same time as the JEE if you solve problems from the NCERT book.

Once you’re done, move on to solving topic problems from a JEE Main level book.

Below are some good JEE Main Mathematics books that you might want to give a try:

RD Sharma Mathematics for Class 11
RD Sharma Mathematics for Class 12
Arihant Differential Calculus
Arihant Integral Calculus
Arihant Algebra
Arihant Vector and 3D Geometry
Arihant Trigonometry
Coordinate Geometry for JEE Main & Advanced by S K Goyal
TMH Mathematics
IIT Mathematics for JEE Main and Advanced by ML Khanna

JEE Main Maths Study Tip 4: Solve Previous Years’ JEE Main Questions

Once you study a topic and practice its problems from a good book, you should try solving the questions that actually appeared in JEE Main exams in previous years. Solving past years’ questions is important as it would help you to get a flavor of the type and the difficulty level of the questions actually asked in the JEE Main exam.

JEE Main Maths Study Tip 5: Question-Solving Tips

Solve at least 20 maths problems daily.
While solving problems, keep an eye on the clock. Try to solve each problem in a suitable time frame, and then try to reduce the time duration for further similar problems. This will help you increase your speed.
When you solve a problem, label it as ‘A’, ‘B’, or ‘C’. The label ‘A’ means that the problem is very simple and doesn’t need to be looked at the time of revision. The label ‘B’ means that you found the problem to be a bit hard but you could do it after putting in sufficient efforts. The label ‘C’ means that the problem was very challenging and couldn’t be solved by you. At the time of revision, first revise problems labeled ‘C’ and then the problems labeled ‘B’.
Solve the problems by thinking in a logical sequence. Discard any stray thoughts that come to your mind. Do not make any guesses, back them with logic.
Analyze your mistakes and don’t repeat them. Notice the topics that you find hard or slow you down. Focus more on these topics.
Do not quit till you have achieved your target for the day, i.e., you have solved all the questions that you had planned to solve on that day.
Don’t forget to use the JEE Main syllabus wisely to help you prepare.

JEE Main Maths Study Tip 6: Make Your Own Formula book

Make a notebook where you write down all the formulae that you come across during your JEE preparation. This formula book that you make is of great importance. Revise these formulae periodically, preferably every weekend. Although you may be overwhelmed by the sheer number of formulae in beginning, but if you do as I said above, you’ll become a master of these formulae!