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Binomial Theorem - JEE Main Previous Year Questions with Solutions and Weightage

Sahaj Anand's profile photo

Sahaj Anand

Content Writer | Journalism Graduate | Updated 3+ months ago

Binomial Theorem carries 3.3% weightage in the JEE Main Mathematics Question Paper, generally 1-2 questions are asked from this topic, candidates have an opportunity to score 4 - 8 marks easily from this section.

The Binomial Theorem is an important topic in JEE Main Mathematics, involving the expansion of power of binomials in the form (a+b)n.

Binomial Theorem is considered to be of a moderate difficulty level with major focus on subtopics such as General Term, Middle Term and Approximation.

Must Read Articles:

The Binomial Theorem related questions with detailed solutions asked in JEE Main are listed below:

Question 1

View Solution

Question 2

View Solution

Question 3

  1. A=B3
  2. 3A=B
  3. B=A3
  4. A=3B

View Solution

Question 4

  1. 4
  2. 9
  3. 6
  4. 2

View Solution

Question 5

View Solution

Question 6

  1. 60
  2. 62
  3. 50
  4. 55

View Solution

Question 7

  1. 639
  2. 724
  3. 693
  4. 742

View Solution

Question 8

View Solution

Question 9

  1. 3133
  2. 633
  3. 931
  4. 6131

View Solution

Question 10

View Solution

JEE Main 2025 Mathematics Question Paper Pattern

The JEE Main 2025 Mathematics question paper consists of 25 mandatory questions worth a total of 100 marks. Each correct answer will be awarded +4 marks and 1 mark will be deducted for every incorrect answer.

Features Highlights
Mode of Exam Computer Based Test (Online)
Marking Scheme +4 for the correct answers and -1 for incorrect answer
Duration of Exam 3 Hours
Language of Exam Hindi, English and Gujarati (Only for centers in Gujarat, Daman and Diu, and Dadra and Nagar Haveli)
Types of Questions Multiple Choice Questions (MCQs) and Numerical Value Based
Total Number of Questions 25 questions
Total Marks 100

JEE Main Mathematics Chapter Wise Weightage

The JEE Main Mathematics chapters are divided into three categories: High weightage, Medium Weightage and Low Weightage.

High Weightage Chapters: Coordinate Geometry (15.33%), Calculus (12%) and Algebra (27%) are the highest weightage chapters in Mathematics. Candidates should have a strong hold on the concept and formulas in order to maximize their score.

Medium Weightage Chapters: Vector Algebra (6.33%), 3D Geometry (6.6%), Probability and Statistics (6.5%) and Differential Equations (5.6%) are categorized in the medium weightage chapters as they are responsible for approximately 2-4 questions in the Mathematics question paper.

Low Weightage Chapters: Trigonometry (4.5%), Permutation and Combination (3.5%) and Binomial Theorem (3.1%) are categorized in the low weightage chapters. Questions from these chapters are not frequently asked in the mathematics paper.

Chapters Weightage (%) Approximate Marks
Coordinate Geometry 15.33% 16
Limits, Continuity, and Differentiability 12.00% 12
Integral Calculus 11.17% 12
Complex Numbers and Quadratic Equations 7.17% 8
Sets, Relations, and Functions 7.17% 8
Matrices and Determinants 6.50% 8
Sequences and Series 6.50% 8
Statistics and Probability 6.50% 8
Vector Algebra 6.33% 8
Differential Equations 5.67% 8
Three-Dimensional Geometry 4.50% 4
Trigonometry 4.50% 4
Permutations and Combinations 3.50% 4
Binomial Theorem and Its Applications 3.17% 4

JEE Main Mathematics Previous Year Question Papers with Solutions

The JEE Main Mathematics question paper PDFs along with the detailed solution PDFs for the last 5 years is tabulated below:

JEE Main 2024 Mathematics Question Paper Session 1

Exam Date Question Paper Solution PDF
JEE Main 2024 Feb 1 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Feb 1 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 31 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 31 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 30 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 30 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 29 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 29 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 27 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 Jan 27 Shift 1 Mathematics Question Paper Download Check Solution

JEE Main 2024 Mathematics Question Paper Session 2

Exam Date and Shift Question Paper Solution PDF
JEE Main 2024 April 4 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 4 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 5 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 5 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 6 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 6 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 8 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 8 Shift 2 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 9 Shift 1 Mathematics Question Paper Download Check Solution
JEE Main 2024 April 9 Shift 2 Mathematics Question Paper Download Check Solution

JEE Main 2023 Mathematics Question Paper

Exam Date Mathematics Question Paper PDF
Mathematics 6 April Shift 1 Question Paper Check Here
Mathematics 6 April Shift 2 Question Paper Check Here
Mathematics 8 April Shift 1 Question Paper Check Here
Mathematics 8 April Shift 2 Question Paper Check Here
Mathematics 10 April Shift 1 Question Paper Check Here
Mathematics 10 April Shift 2 Question Paper Check Here
Mathematics 11 April Shift 1 Question Paper Check Here
Mathematics 11 April Shift 2 Question Paper Check Here
Mathematics 12 April Shift 1 Question Paper Check Here
Mathematics 13 April Shift 1 Question Paper Check Here
Mathematics 13 April Shift 2 Question Paper Check Here
Mathematics 15 April Shift 1 Question Paper Check Here

JEE Main 2023 Mathematics Question Paper Session 1

Exam Date and Shift Mathematics Question Paper PDF
Mathematics 24 January Shift 1 Question Paper Check Here
Mathematics 24 January Shift 2 Question Paper Check Here
Mathematics 25 January Shift 1 Question Paper Check Here
Mathematics 25 January Shift 2 Question Paper Check Here
Mathematics 29 January Shift 1 Question Paper Check Here
Mathematics 29 January Shift 2 Question Paper Check Here
Mathematics 30 January Shift 1 Question Paper Check Here
Mathematics 30 January Shift 2 Question Paper Check Here
Mathematics 31 January Shift 1 Question Paper Check Here
Mathematics 31 January Shift 2 Question Paper Check Here
Mathematics 1 February Shift 1 Question Paper Check Here
Mathematics 1 February Shift 2 Question Paper Check Here

JEE Main 2022 Mathematics Question Paper with Solution PDF

Exam Date Shift/ Slot Question Paper PDF
July 25 Shift 1 Check Here
July 25 Shift 2 Check Here
July 26 Shift 1 Check Here
July 26 Shift 2 Check Here
July 27 Shift 1 Check Here
July 27 Shift 2 Check Here
July 28 Shift 1 Check Here
July 28 Shift 2 Check Here
July 29 Shift 1 Check Here
July 29 Shift 2 Check Here

JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1

Exam Date Shift/ Slot Question Paper PDF
June 29 Shift 1 Check Here
June 29 Shift 2 Check Here
June 28 Shift 1 Check Here
June 28 Shift 2 Check Here
June 27 Shift 1 Check Here
June 27 Shift 2 Check Here
June 26 Shift 1 Check Here
June 26 Shift 2 Check Here
June 25 Shift 1 Check Here
June 25 Shift 2 Check Here
June 24 Shift 1 Check Here
June 24 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper- Download PDF

Exam Date Shift/ Slot Question Paper PDF
August 26 Shift 1 Check Here
August 26 Shift 2 Check Here
August 27 Shift 1 Check Here
August 27 Shift 2 Check Here
August 31 Shift 1 Check Here
August 31 Shift 2 Check Here
September 1 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF

Exam Date Shift/ Slot JEE Main Question Paper PDF
July 22 Shift 2 Check Here
July 25 Shift 1 Check Here
July 25 Shift 2 Check Here
July 27 Shift 1 Check Here
August 3 Shift 1 Check Here
August 3 Shift 2 Check Here
August 4 Shift 1 Check Here
August 4 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF

Exam Date Shift/ Slot Question Paper PDF
March 16 Shift 1 Check Here
March 16 Shift 2 Check Here
March 17 Shift 1 Check Here
March 17 Shift 2 Check Here
March 18 Shift 1 Check Here
March 18 Shift 2 Check Here

JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February) - Download PDF

Exam Date Shift/ Slot Question Paper PDF
February 24 Shift 1 Check Here
February 24 Shift 2 Check Here
February 25 Shift 1 Check Here
February 25 Shift 2 Check Here
February 26 Shift 1 Check Here
February 26 Shift 2 Check Here

JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF

Exam Date Shift/ Slot Question Paper PDF
September 2 Shift 1 Check Here
September 2 Shift 2 Check Here
September 3 Shift 1 Check Here
September 3 Shift 2 Check Here
September 4 Shift 1 Check Here
September 4 Shift 2 Check Here
September 5 Shift 1 Check Here
September 5 Shift 2 Check Here
September 6 Shift 1 Check Here
September 6 Shift 2 Check Here

JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January) - Download PDF

Exam Date Shift/ Slot JEE Main Question Paper PDF
January 8 Shift 1 Check Here
January 8 Shift 2 Check Here
January 9 Shift 1 Check Here
January 9 Shift 2 Check Here

Also Check:

Frequently Asked Questions

What is the Binomial Theorem?

The Binomial Theorem is a fundamental result in Algebra that allows you to expand expressions of the form (a + b)n, in this formula ‘a’ and ‘b’ are any number or variables and ‘n’ is a non negative integer.

What is the formula of Binomial Theorem?

The general formula of Binomial Theorem is: (a + b)n = ∑ (nCr) * a(n-r) * br where:

  • nCr is the binomial coefficient ‘n choose r’
  • r is an integer from 0 to n.
  • N is the exponent to which the binomial is raised.

Is Binomial important for JEE Main?

Yes, Binomial Theorem is an important topic in JEE Main Mathematics. It helps in solving problems related to the expansion of powers of binomials. Having a strong basis of its concepts and formulas is essential for understanding other algebraic expressions.

Is Binomial Theorem easy?

Binomial Theorem is considered to be of moderate difficulty. Binomial Theorem is a concept based topic as it involves calculations with larger exponents. According to the previous year's appearing candidates, this topic is generally considered easy to manage with proper practice and preparation.

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JEE Main Questions

  • 1.
    A body of mass 100 g is moving in a circular path of radius 2 m on a vertical plane as shown in the figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as 10 m/s\(^2\)) 
    body of mass 100 g is moving in a circular path

      • \( \frac{3 + \sqrt{3}}{2} \)
      • \( \frac{2 + \sqrt{3}}{3} \)
      • \( \frac{3 - \sqrt{2}}{2} \)
      • \( \frac{2 + \sqrt{2}}{3} \)
      View Solution

    • 2.
      Total number of non-bonded electrons present in \( \text{NO}_2 \); ion based on Lewis theory is:

          View Solution

        • 3.
          Let the area of a triangle \( \triangle PQR \) with vertices \( P(5, 4) \), \( Q(-2, 4) \), and \( R(a, b) \) be 35 square units. If its orthocenter and centroid are \( O(2, \frac{14}{5}) \) and \( C(c, d) \) respectively, then \( c + 2d \) is equal to:

            • \( \frac{7}{3} \)
            • \( 3 \)
            • \( 2 \)
            • \( \frac{8}{3} \)
            View Solution

          • 4.

            Match List - I with List - II. 

              • (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

              • (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

              • (A)-(I), (B)-(III), (C)-(II), (D)-(IV)

              • (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

              View Solution

            • 5.
              A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:

                • \( 0.25 \, \text{m/s}^2 \)
                • \( 2.5 \, \text{m/s}^2 \)
                • \( 3.5 \, \text{m/s}^2 \)
                • \( 0.35 \, \text{m/s}^2 \)
                View Solution

              • 6.
                Which of the following electronegativity order is incorrect?

                  • Al \( <\) Mg \( <\) B \( <\) N
                  • Al \( <\) Si \( <\) C \( <\) N
                  • Mg \( <\) Be \( <\) B \( <\) N
                  • S \( <\) Cl \( <\) O \( <\) F
                  View Solution
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