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JEE Main 2018 April 15th Shift 1 Maths Question Paper with Answer Keys and Solutions

Last updated date: 17th Apr 2024
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JEE Main Maths Question Paper 2018 with Solutions and Answer Keys (15th April) - Free PDF Download

If you’re looking for the Maths Question paper of 15th April Morning Shift JEE Main 2018, we’ve got you covered. Download the question paper with solutions and answer keys for JEE Main 2018 April 15 Morning Shift Maths papers, available for free on this page.

Candidates who are planning to prepare for the next JEE Main Examination should learn and anticipate the type of questions asked in the Maths of JEE Main 2018. Candidates should dig into the kind of questions from a topic or concept and refine their approach towards a question accordingly.


JEE Main Question Papers


Text, Images, Videos and PDF


JEE Main

Academic Session:



English Medium





Date and Month:

15th- April


Shift-1 Morning

Available Material:

JEE Main Previous Year Question Papers with PDF

Our Master teachers and Academic experts curate the solutions in the PDF to aid students and bridge the gap in understanding the nature of the Maths questions asked in JEE Main exam. The comprehensive guidance for approaching a question is available for 15th April Morning Shift JEE Main 2018 Maths paper.

Don’t wait to grab the Maths Question paper with solutions for 15th April Morning Shift JEE Main 2018. Use the PDF to analyse and solve each question. Also, don’t refrain from revising the PDF. Make them part of your preparation and use them to analyse your strong and weak areas in Maths for the JEE Main examination. 

Competitive Exams after 12th Science

Overview of JEE Main Question Paper

The JEE main examination question distribution is listed below. Understanding the exam format is crucial because it helps you realise how important it is to cover each subject completely. Let's have a look at the exam structure.


Number of Questions 

Total Marks










Important Highlights of JEE Main Maths Question Paper

Some of the essential features of the question paper that must be remembered when attempting the JEE Main question paper are listed below.

  • There were thirty objective type single correct answer multiple-choice problems in Maths, Chemistry, and Physics.

  • The questions are covered from both the Class 11 and 12 CBSE syllabus.

  • Each correct response received 4 points while each incorrect response received 1 point.

  • No negative marking for the questions that were not attempted.

Paper Analysis of Maths

Interestingly, when compared to the other two subjects, Mathematics was the easiest in the JEE Main 2018 paper. Several of the questions were directly formula based and calculative in nature. Both theory and formulas were used to formulate the questions. Let's have a look at the Mathematics paper analysis by the level of difficulty.

Easy Questions

Moderate Questions

Difficult Questions

Number of Questions




Total Marks 




Important Chapters of Maths

As we have comprehended the question paper components, let us quickly look into the essential topics of Mathematics. The data provided below is based on the analysis of the JEE main question paper of 2018.

  • Coordinate Geometry

  • Differential Calculus

  • Integral Calculus

  • 3D and Vectors

Class-Wise Distribution of Questions

Since the JEE main papers are based on the syllabus of Classes 11 and 12, an analysis of a number of questions from each class is mentioned below.


Number of Questions 

Total Marks







Benefits of JEE Main 2018 - Maths Question Paper

Solving JEE Main question papers whether it's previous year questions or JEE Main sample papers will significantly help candidates to not get a far better understanding of the concepts but they're going to also develop better problem-solving skills. Additionally, they're going to get an honest idea of the exam pattern, sorts of questions, weightage of marks, duration of the exams and more.

There are many practical benefits of using previous years’ questions for one’s JEE preparations:

  • Better time management.

  • Familiarise with the exam pattern and marking scheme.

  • Analysis of weak and strong topics.

  • Gives a real feel of the exam.

  • Development of analytical skills.

  • Saves time from indulging in the useless study material.

  • Employs the principle of active recall.

  • A good way to practise questions for free.

As we can see there are many benefits a student can get from practising JEE Main previous year question Papers. The best thing is that they can download the question paper with solutions in PDF form for free here from Vedantu. Solving previous years’ questions is a proven way to boost grades in exams. It has been the secret of toppers in all fields for years.

For success in competitive examinations like JEE Main one needs to practice as many questions as they can. It is advisable for students to go through these previous years’ questions at least once during their preparatory phase to improve their scores in the actual exam.

The more questions you solve, the more confident you become about your JEE preparations. Solving previous years’ questions with a timer is the key to success in exams like JEE. Thus, to yield the full benefits of the previous years’ questions, download them for free from our website.

Important Chapters for Maths JEE Main 2025

Sample Questions From JEE Main 2018- Maths Question Paper

Below are a Few sample questions from the JEE Main Mathematics Solved Question Paper 2018:

1. From 6 different pairs of jeans and 3 different shirts, 4 pairs of jeans and 1 shirt are to be selected and arranged in a row on a shelf so that the jeans are always in the middle. Find out the number of such arrangements. Your options are as below:-

(a) Less than 700

(b) Minimum 500 but less than 800

(c) At least 800 but less than 1000

(d) At least 1000 or more than 1000


The total number of ways in which such arrangements are given by: (6 4) (3 1) 4

We get, 15* 3*24

= 1080

Therefore, the correct option is D

2. In a basket, there are 4 blue balls and 6 green balls. A ball is withdrawn randomly from the basket. On observing the colour of the ball along with two additional balls of the same colour, they are kept back in the basket. If now a ball is again withdrawn at random from the basket, then find out the probability of this drawn ball being blue. Choose the correct option given below:

(a) ⅕ 

(b) 3/10  

(c) ¾ 

(d) ⅖


Let b1 and g1 be the event of withdrawing blue and green balls (i)th withdrawal, respectively.

Now, given that the basket contains 4 blue balls and 6 green balls, then

P = (b1) = 4/10 and P = (g1) = 6/10

As per the problem, we have

P (B2/B1) = 4/12 P ( G2/G1) = 6/12

Thus, the required probability = P(b1).P (b2/b1)+P {G1) .P (B2/G1)

Thus, we get

4/10* 6/12 +6/10*4/12

= 2/5

Hence, the correct option is D.

Thus, we can conclude with the importance of solving previous years’ questions for competitive examinations like JEE Main. Our website provides all these questions with their detailed solutions in PDF form which are free to download. Students can make use of these PDFs to boost their JEE preparations. 

Why Should Students Choose Vedantu?

If you are preparing for engineering entrance exams like JEE, you should join Vedantu. Here, it is our mission to help students achieve the success they deserve. Our expert teachers with their experience of several years are here to not only clear your concepts but make you fall in love with learning. Students are our first priority here at Vedantu.

You can study through online classes at your own pace. You can download videos too! All your question-solving requirements are taken care of by our extensive question banks which are constituted by NCERT-based questions. You can find previous year’s question papers too along with their solutions to get an idea of the questions asked in JEE.

Finally, you can take online exams based on the JEE pattern to get a real feel of the exam.

If all these sound appealing to you, join Vedantu today. Our online classes are very affordable which makes them accessible to many students.


This was the entire discussion on the Mathematics question paper from the previous year. We hope we were able to assist you with your questions. Prepare for the exams by revising the previous year’s questions.

Year-Wise JEE Main Previous Year Question Papers

FAQs on JEE Main 2018 April 15th Shift 1 Maths Question Paper with Answer Keys and Solutions

1. Are JEE Main 2018 Question Paper Solutions tough?

To be honest, the JEE examination in itself is not tough or easy. The preparation level and foundation of a candidate decided its level of difficulty. That being said, if you've solved previous year questions of JEE like JEE Main 2018 Question Paper Solutions, then you might not find it difficult. Aspirants can start with 15th April Morning Shift JEE Main 2018 Maths Question Paper Solutions to boost their preparation. 

2. How to Prepare for JEE Main Maths?

You can be a master in Maths, only if you keep practising. You should attempt to solve as many problems as possible on a daily basis. Different students have different shortcuts for an equivalent sort of problem depending upon the extent of their practice.

Here are a few quick tips that we suggest for candidates preparing for JEE

  • Be sincere in your efforts. 

  • Get a dedicated, skilled mentor, if you are able to find it! Mentor is the one who knows what should be done and what shouldn't be done. He/she is the best guide.

  • Focus on previous year questions of JEE Main. You can start JEE Main 2018 Question Paper Solutions after being thorough with the concepts. 

3. How was the Maths section in JEE Main 2018 Question Paper?

Mathematics was the moderate of the three papers. The majority of the questions were calculations. There were 10 questions from the 12th Grade syllabus and 20 from the 11th Grade syllabus. There were 3 difficult questions, 14 moderate questions, and 13 easy questions in this section. Aspirants can go through 15th April Morning Shift JEE Main 2018 Maths Question Paper Solutions to self analyse the paper.

4. What were the important chapters for Maths in JEE Main 2018 Question Paper?

The important chapters for the Maths section in JEE Main 2018 Question Paper are as follows:

  • Hyperbola

  • Parabola

  • Sets

  • Relations and Functions

  • Mathematical Induction and Reasoning

  • Parabola

  • Permutations and Combinations

  • Quadratic Equations

  • Sequences and Series

  • Statistics

  • Trigonometry

  • 3D Geometry

  • Determinants

  • Differential Equations

5.  From which chapters the easiest questions were taken in the JEE Main 2018 Maths Question Paper Solutions?

Easiest chapters in the JEE Main 2018 Maths Question Paper Solutions are Mathematical Induction and Reasoning, Parabola, Permutations and Combinations, Quadratic Equations, Sequences and Series, Statistics, Trigonometry. And tough questions are taken from Hyperbola, Parabola, Sets, Relations, and Functions. 

6. Is JEE Main Physics hard?

No, JEE Main Physics is not hard for students who make efforts to study it properly. Students need to be clear with NCERT and solve enough practice questions from PYQs. They can find the solutions to all the JEE PYQs on this website for free. The solutions here are highly detailed. Going through the solutions to the PYQs will help students extremely in their JEE preparation.