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Mathematical Reasoning Practice Paper for Students

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JEE Test Series 2026

How to Improve Mathematical Reasoning Skills with Practice

Understanding the role of Mathematical Reasoning Practice Paper is essential for JEE Main students, as it focuses on developing students' ability to use logical and mathematical reasoning to solve complex problems and make informed decisions.


Category:

JEE Main Practice Paper

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Chapter Name:

Mathematical Reasoning

Academic Session:

2026

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Practice paper with PDF


Vedantu understands the major role of Mathematical Reasoning in Practice Papers in JEE Main Maths preparation and offers a FREE PDF download for students. This invaluable resource is meticulously prepared for chapter-wise practice, guaranteeing a comprehensive understanding of essential topics. By taking this opportunity at no expense, you can expand your knowledge and bolster your confidence in approaching questions with precision. Detailed solutions and answer keys are included to resolve doubts and guide you through the step-wise process of question-solving. Moreover, practicing Vedantu’s Mathematical Reasoning Practice Paper for JEE Main can enhance your question-solving speed.


Prepare to solve more than one question from the Mathematical Reasoning chapter in the JEE Main Exam. To understand its importance, find the table detailing the weightage of the Mathematical Reasoning chapter in the past five years of the JEE Main Exam.


Year

Weightage of JEE Main Questions From Mathematical Reasoning

2023

3%

2022

3%

2021

6%

2020

6%

2019

3%


Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Mathematical Reasoning Practice Paper today to excel in your JEE Main exams!

Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths, Physics, and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Physics, as well as Chemistry Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for the JEE Main Subject-wise Practice Paper.


Subject-wise Links For JEE Main Practice Paper

JEE Main Chemistry Practice Paper

JEE Main Physics Practice Paper


Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.



Important Topics From Mathematical Reasoning for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Mathematical Reasoning. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper on Mathematical Reasoning. Here are some of the important topics of Mathematical Reasoning.


  • Propositional Logic:

Propositional logic deals with the manipulation and analysis of logical statements using operators like AND, OR, and NOT. It forms the foundation of mathematical reasoning by allowing the evaluation of complex statements and arguments.


  • Predicate Logic:

Predicate logic extends propositional logic to handle variables and quantifiers (such as ∀ for "for all" and ∃ for "there exists"). It is crucial for expressing mathematical statements involving variables and sets.


  • Proof Techniques:

Proof techniques are essential for demonstrating the validity of mathematical statements. Topics like direct proof, proof by contradiction, mathematical induction, and contrapositive reasoning are commonly used methods.


  • Set Theory:

Set theory explores the concepts of sets, subsets, unions, intersections, and complements. Understanding these fundamental concepts is vital for mathematical reasoning and solving problems in various mathematical disciplines.


  • Number Theory:

Number theory focuses on the properties and relationships of integers and their subsets, such as prime numbers, divisibility, and modular arithmetic. It plays a significant role in mathematical reasoning and cryptography applications.


These topics are important for the JEE Main exam as they form the basis for solving complex mathematical problems and are frequently encountered in various engineering and science fields.


Equations To Score More in Practice Paper of JEE Main Mathematical Reasoning

Equations are the base for solving the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out the Practice Paper of JEE Main Mathematical Reasoning.


  • De Morgan's Laws:

$ \neg (A \land B) = (\neg A) \lor (\neg B)$

$ \neg (A \lor B) = (\neg A) \land (\neg B)$


  • Conditional Probability:

$P(A | B) = \frac{P(A \cap B)}{P(B)}$


  • Binomial Theorem:

$(x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k$


  • Quadratic Formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$


  • Law of Sines:

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$

   

For more formulas and equations you can refer to Vedantu’s JEE Main Formula page.


What Makes Vedantu’s Practice Paper PDF of JEE Main Mathematical Reasoning Different?

Practice Paper for JEE Main serves as a resource for students who prepare for the exam, by offering questions structured in the same manner as the JEE Main exam. Vedantu’s JEE Main Practice Papers stand as the immediate post-chapter learning companion. Now, let’s delve into the distinctive traits of Vedantu’s Mathematical Reasoning Practice Paper for JEE Main.


  • Quality Content: Vedantu's Practice Paper for Mathematical Reasoning is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from the Mathematical Reasoning, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Mathematical Reasoning JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.


How To Prepare For JEE Main With Mathematical Reasoning Practice Paper?

Vedantu’s Mathematical Reasoning JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF, you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.


  1. Download the Daily Practice Paper of JEE Main Mathematical Reasoning.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers on a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and gives a negative mark of -1 for each question.

  6. Now calculate the score and analyse yourself. 

  7. You can take the help of detailed solutions given in the PDF for better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and practice the questions again.

  9. Make a note of the time you take for each question to practice. 


When to Start Preparing With JEE Main Practice Paper of Mathematical Reasoning?

To maximize your JEE Main preparation and increase your chances of success in the exams, it's advisable to start your JEE Main Practice Paper of Mathematical Reasoning preparation early in your academic journey. This approach ensures thorough subject mastery and sufficient time for revision. Follow this timeline to effectively utilize the Daily Practice Paper.


  • Foundation Building (1-2 Years Prior): Start with foundational studies and build a strong understanding of the core concepts in Mathematical Reasoning.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating the Practice Paper of JEE Main Mathematical Reasoning into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take a full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.


Additional Materials To Cover With  JEE Main Mathematical Reasoning Practice Paper

After learning the Mathematical Reasoning chapter, you need to make sure that you are mastering the contents you learn so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision of the Mathematical Reasoning, you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.



Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Mathematical Reasoning, you can test your online skills for JEE Main Maths. Vedantu is also providing you with an online practice paper test where you can get a real experience of attempting the JEE Main Exam.



Mastering Mathematical Reasoning With JEE Main Practice Paper

The JEE Main Mathematical Reasoning Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer keys help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Mathematical Reasoning Daily Practice Paper for FREE!


JEE Mains Sample Paper: Mathematical Reasoning

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2026 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Mathematical Reasoning chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.


With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

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FAQs on Mathematical Reasoning Practice Paper for Students

1. What is mathematical reasoning?

Mathematical reasoning refers to the process of applying logical thinking to draw conclusions and solve problems based on given conditions and mathematical facts. It involves:

  • Analyzing mathematical statements
  • Identifying relationships between concepts
  • Applying rules of logic and proof
  • Ensuring all steps are valid and justified
This topic is core to the CBSE Class 11 mathematics syllabus and is essential for building a strong foundation in mathematics.

2. What are the main types of reasoning in mathematics?

The two main types of reasoning in mathematics are inductive reasoning and deductive reasoning.

  • Inductive reasoning: Making generalizations based on specific examples or patterns.
  • Deductive reasoning: Drawing conclusions from established facts, definitions, and logical steps.
Both are vital for solving mathematical problems and writing proofs as per the Class 11 syllabus.

3. Explain the use of statements and truth values in mathematical reasoning.

Statements are sentences that are either true or false. Understanding truth values helps in:

  • Determining the validity of mathematical arguments
  • Working with logical connectives (AND, OR, NOT)
  • Constructing logical proofs and solving reasoning questions
This is a key skill for exams and developing strong analytical reasoning.

4. What is deductive reasoning? Give an example.

Deductive reasoning is a logical process where conclusions are drawn from established facts, axioms, or definitions.

  • Starts with a general statement or rule
  • Applies it to specific cases
  • Leads to logically certain conclusions
Example: If all angles in a triangle sum to 180°, and two angles measure 50° and 60°, then the third angle is 70°.

5. What is an open sentence in mathematics?

An open sentence is a mathematical statement that contains one or more variables and is neither true nor false until the variables are given specific values.

  • Example: x + 2 = 5 is an open sentence until x is specified.
  • Used to form equations and inequalities.
This concept is important for solving equations and understanding logical reasoning.

6. How do you identify valid arguments in mathematical reasoning?

To identify valid arguments, ensure that the conclusion logically follows from the premises using correct logical connectors.

  • Analyze the structure of the argument
  • Check if every statement is properly linked
  • Ensure no step violates mathematical logic
This procedure is key for proof writing and exam reasoning.

7. What is the difference between a tautology and a contradiction?

Tautology is a statement that is always true regardless of the truth values of its components, while a contradiction is always false.

  • Tautology: (p OR NOT p) is always true
  • Contradiction: (p AND NOT p) is always false
Recognizing these helps in logical reasoning questions in exams.

8. What is the role of logical connectives in mathematical reasoning?

Logical connectives such as AND, OR, NOT, IF-THEN, and IF AND ONLY IF are used to form complex statements in mathematical reasoning.

  • Allow combination and modification of basic statements
  • Help in creating compound statements and analyzing their truth values
  • Essential for proofs and logical arguments
Mastering connectives is crucial for the Mathematical Reasoning chapter.

9. Why is mathematical reasoning important for students?

Mathematical reasoning builds students' analytical ability, enhances problem-solving skills, and is foundational for success in mathematics.

  • Prepares students for competitive exams and real-world problem solving
  • Improves logical thinking and decision making
  • Directly aligns with the CBSE syllabus and exam questions

10. What are some key tips for solving mathematical reasoning problems in exams?

Follow a systematic approach to solve mathematical reasoning problems in exams:

  • Read the question carefully and identify main statements
  • Break complex statements into smaller parts
  • Use diagrams or tables for clarity
  • Check validity step-by-step using logical rules
  • Revise common logical connectives and their meanings
Practicing various types of questions improves your reasoning skills and exam performance.