Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

Understand Maths Basics and Strengthen Your Skills

ffImage
banner
widget title icon
Latest Updates

widget icon
Start Your JEE Practice Here :
JEE Test Series 2026

How to Solve Common Maths Problems Step by Step

Mathematics is a crucial component of the JEE Main 2026, and understanding it is key to scoring well in the exam. The subject tests your problem-solving skills, analytical thinking, and ability to apply mathematical concepts to real-world problems. For JEE Main Maths Syllabus 2026, the Mathematics section is divided into three primary categories: Algebra, Calculus, and Coordinate Geometry, along with topics like Trigonometry, Probability, and Vectors. Mathematics in JEE Main is often regarded as one of the more challenging sections, but it can also be among the most rewarding. Focused preparation, understanding key formulas, and practising various problems will help you master the Mathematics section and perform confidently in the exam.

JEE Main Maths Syllabus: Comprehensive Breakdown of Topics

These tables break down the JEE Main 2026 syllabus for Mathematics into specific topics and chapters, making it easier to focus your preparation in each area for the exam.


1. Algebra

Unit

Topics

Unit 1: Sets, Relations, And Functions

Sets, Unions and Intersection, Complement, Power Set, Relations, Equivalence Relations, Functions (one-one, into, onto), Composition of Functions

Unit 2: Complex Numbers And Quadratic Equations

Representation of Complex Numbers, Argand Diagram, Modulus and Argument, Quadratic Equations, Roots, and Coefficients

Unit 3: Matrices And Determinants

Types of Matrices, Determinants, Adjoint and Inverse, Solution of Linear Equations Using Matrices

Unit 4: Permutations And Combinations

Fundamental Principle of Counting, Permutations and Combinations, Applications of P(n, r) and C(n, r)

Unit 5: Binomial Theorem

General Term, Middle Term, Simple Applications

Unit 6: Sequence And Series

Arithmetic Progression (AP), Geometric Progression (GP), AM and GM, Relation Between AM and GM



2. Calculus

Unit

Topics

Unit 7: Limit, Continuity, And Differentiability

Limits, Continuity, Differentiation of Algebraic and Transcendental Functions, Applications of Derivatives (Rate of Change, Maxima, Minima)

Unit 8: Integral Calculus

Integration by Substitution, by Parts, Fundamental Theorem of Calculus, Properties of Definite Integrals, Area Under Curves

Unit 9: Differential Equations

Order and Degree of Differential Equations, Solution by Separation of Variables, Homogeneous Equations



3. Coordinate Geometry

Unit

Topics

Unit 10: Coordinate Geometry

Cartesian System, Distance Formula, Slope, Straight Lines, Circle, Conic Sections (Parabola, Ellipse, Hyperbola)



4. Three-Dimensional Geometry

Unit

Topics

Unit 11: Three-Dimensional Geometry

Coordinates in Space, Distance, Section Formula, Direction Ratios, Skew Lines, Shortest Distance



5. Vector Algebra

Unit

Topics

Unit 12: Vector Algebra

Vectors and Scalars, Vector Addition, Scalar and Vector Products



6. Statistics and Probability

Unit

Topics

Unit 13: Statistics And Probability

Mean, Median, Mode, Standard Deviation, Variance, Probability Theorems (Addition, Multiplication, Baye's Theorem)



7. Trigonometry

Unit

Topics

Unit 14: Trigonometry

Trigonometric Functions and Identities, Inverse Trigonometric Functions, Properties



Most Important Chapters for JEE Main Maths

The JEE Main Mathematics syllabus is made up of around 14-15 Units. . That is the most crucial aspect, yet it requires a lot of effort. The following are the most essential JEE Main 2026 Mathematics chapters:


  • Complex Numbers And Quadratic Equations

  • Co-Ordinate Geometry

  • Integral Calculus

  • Three Dimensional Geometry

  • Vector Algebra

  • Statistics and Probability

  • Trigonometry

  • Permutations And Combinations

  • Sequence And Series


JEE Main Maths Weightage for 2026 Examination

For JEE Main, the Mathematics syllabus provides a strong foundation for the more advanced topics. While the entire syllabus is essential, certain chapters carry more weight in terms of marks and importance. Here are JEE Main Maths Chapter Wise Weightage:


Topics

No. of Questions

Marks

Coordinate Geometry

5

20

Limits, Continuity, and Differentiability

3

12

Integral Calculus

3

12

Complex Numbers and Quadratic Equations

2

8

Matrices and Determinants

2

8

Statistics and Probability

2

8

Three-Dimensional Geometry

2

8

Vector Algebra

2

8

Sets, Relations, and Functions

1

4

Permutations and Combinations

1

4

Binomial Theorem and Its Applications

1

4

Sequences and Series

1

4

Trigonometry

1

4

Differential Equations

1

4

Differential Calculus

1

4



JEE Main Maths Important Chapter 2026: Benefits of Solving Papers With Vedantu

There are many advantages to solving Previous Years’ JEE Main papers. To begin, examining past years' question papers is the most effective technique to determine the test format. Second, it aids in determining which chapters are crucial. It also allows you to construct an effective JEE Main study schedule.


As a result, past years' questions are quite useful for applicants to practise with.

As a result, prior years' questions are extremely beneficial for applicants to practise, and there are additional grounds to think that.


1. It Reveals Your Strengths and Weaknesses.

You should thoroughly examine the past years' JEE Main question papers. Just mark the questions that you are familiar with. You'll learn which questions you know and which you don't by doing so. Candidates may then readily specify where they should focus their efforts and begin their hard work. Candidates can categorise the test as challenging, moderate, or easy by reviewing past years' JEE Main question papers. Following that, they might begin improving preparation procedures to get better results.


2. Enhances Your Time Management

Before taking any exam, time is an important consideration, and JEE Main is no different. As they begin tackling prior years' question papers, candidates must manage their time properly. One of the most effective techniques for students to enhance their time management abilities is to study past years' JEE Main question papers.


It is also regarded as an effective approach to practise and improve. It helps to increase both speed and accuracy over time. Good time management may yield excellent rewards and allow candidates to finish their assignments on time.


3. Improves Speed and Accuracy

Also, practising past years' examinations enhances pupils' speed and accuracy while dealing with various issues. Candidates might create shortcut tactics while attempting to solve problems from previous years' JEE Main examinations. These strategies can help students solve Math and Physics issues, particularly numerical problems.


4. Practice Makes One Perfect

Practice, as they say, makes perfect. Whatever is practised regularly will improve. Candidates who spend a significant amount of time practising the previous year's questions are automatically likely to earn a high percentile. Also, practising prior years' JEE Main will show you how well-prepared you are. As a consequence, applicants may now quickly assess their degree of preparedness. Furthermore, based on their assessment, candidates might focus on closing the preparation gap.


5. Increase Your Self- Motivation

Examine past years' question papers to increase your confidence. Because most competitive tests have a set question format, being acquainted with it can increase your confidence and prepare you for the actual exam. The JEE Main test necessitates a tremendous amount of preparation.


Many questions, for example, may be puzzling to applicants who have never taken similar ones before. You may find yourself in a difficult scenario if you go into the JEE Main test with only theoretical knowledge and no understanding of the question pattern. You may learn a lot about the test format by solving previous year's exams, which can boost your confidence in your real performance.


Tips to Score Well in JEE Main Maths 2026

  • Mathematics requires consistent practice. Focus on solving as many problems as you can to get familiar with different problem-solving approaches.

  • Ensure that you understand the fundamental concepts behind each topic. This will help you solve variations of problems in the exam.

  • While practising, focus on solving problems quickly. Time management is key in Mathematics as it can be time-consuming.

  • Keep a list of key formulae and concepts handy for quick revision before the exam.

  • Practice with the JEE Main Maths Question Paper to get an understanding of the exam pattern and frequently asked questions.


JEE Main 2024 Question Paper PDF with Solutions



JEE Main 2024 Question Paper PDF with Solutions - Session 2 (April)



Conclusion

Focusing on the JEE Main Maths Paper is a strategic approach to excel in the examination. These chapters carry significant weightage in terms of marks and are frequently asked in the paper. By dedicating ample time and effort to understand the concepts and solving practice problems from these chapters, students can enhance their overall performance and increase their chances of obtaining a competitive rank. However, it is important to remember that a well-rounded preparation covering the entire Mathematics syllabus is essential for success. Balancing thorough study of the important chapters with equal attention to other topics will ensure a comprehensive and effective preparation strategy for the JEE Main Mathematics section.


JEE Main 2026 Subject-Wise Important Chapters

The JEE Main 2026 subject-wise important chapters provide a focused strategy for Chemistry and Physics. These chapters help students prioritise their preparation, ensuring they cover high-weightage topics for better performance in the exam.




Related Study Materials for JEE Main Maths 2026



JEE Main Study and Practice Materials

Explore an array of resources in the JEE Main Study and Practice Materials section. Our practice materials offer a wide variety of questions, comprehensive solutions, and a realistic test experience to elevate your preparation for the JEE Main exam. Explore the links below to enrich your preparation.


WhatsApp Banner

FAQs on Understand Maths Basics and Strengthen Your Skills

1. What is Mathematics and why is it important?

Mathematics is the study of numbers, quantities, shapes, and patterns, playing a crucial role in daily life and various professions.

  • It develops logical and analytical thinking skills.
  • Forms the foundation for scientific, technological, and engineering advancements.
  • Helps solve real-world problems using formulas, calculations, and logical reasoning.
Mastering mathematics is essential for academic success and career opportunities.

2. What are the main branches of mathematics?

The main branches of mathematics are divided based on the topics they study.

  • Arithmetic: Deals with numbers and basic operations.
  • Algebra: Focuses on symbols and expressions.
  • Geometry: Studies shapes, sizes, and properties of space.
  • Trigonometry: Examines relationships in triangles.
  • Calculus: Explores change and motion.
Each branch has unique principles, formulas, and applications for students.

3. How can I improve my maths skills for exams?

You can improve your maths skills by following consistent study strategies and practicing regularly.

  • Understand the basic concepts and formulae.
  • Solve variety of problems from each chapter.
  • Practice sample papers and previous year questions.
  • Revise regularly to strengthen memory.
  • Seek help for doubts from teachers or peers.
Staying motivated and learning from mistakes will boost your confidence in mathematics.

4. What topics are covered in the CBSE Class 10 Maths syllabus?

CBSE Class 10 Maths syllabus includes fundamental topics important for exams.

  • Number Systems
  • Algebra (Polynomials, Linear Equations, Quadratic Equations)
  • Geometry (Triangles, Circles)
  • Trigonometry
  • Statistics and Probability
  • Coordinate Geometry
  • Mensuration
These topics align with board exam patterns and help develop critical mathematical skills.

5. What is the best way to remember formulas in maths?

The best way to remember maths formulas is through repetition and application.

  • Write formulas on flashcards or a dedicated sheet.
  • Practice problems using these formulas regularly.
  • Recite formulas aloud daily.
  • Relate formulas with real-life situations or diagrams.
Consistent revision helps embed key formulas for quick recall during exams.

6. How do I solve quadratic equations?

To solve quadratic equations, use methods based on the equation type.

  • Factorisation Method: Express the equation as a product of two binomials.
  • Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a.
  • Completing the Square: Rearrange and simplify into a perfect square.
Select a method depending on the coefficients and structure of the quadratic equation.

7. What are the applications of mathematics in daily life?

Mathematics is used daily in various tasks and real-life decisions.

  • Calculating expenses and budgeting
  • Measuring ingredients in cooking
  • Analyzing data and interpreting statistics
  • Architectural design and construction
  • Operating technological devices
Understanding maths helps make logical, accurate choices every day.

8. What are some important tips for solving geometry problems?

To solve geometry problems efficiently, apply the following tips:

  • Read the problem carefully and visualise the diagram.
  • Identify all given values and required measurements.
  • Recall and use key geometry theorems and properties.
  • Label the diagram clearly.
  • Check calculations for accuracy.
Practicing with a variety of questions familiarises you with common geometric concepts.

9. How is probability calculated in mathematics?

In mathematics, probability is calculated as the ratio of favorable outcomes to the total number of possible outcomes.

  • Formula: Probability (P) = Number of favorable outcomes / Total outcomes
  • Used in predicting chances in everyday situations like games or weather forecasts.
Probability helps assess risk and uncertainty in practical problems.

10. What do you mean by rational and irrational numbers?

Rational numbers are numbers that can be written as a ratio of two integers, while irrational numbers cannot be expressed as simple fractions.

  • Rational Numbers: Examples include 1/2, -4, 0.75.
  • Irrational Numbers: Examples include √2, π, e.
Understanding the difference is important in number systems and real-life problem solving.