JEE Main Mathematics Sample Paper 2026 PDF by NTA

The NTA provides official JEE Main 2026 Mathematics sample papers on their website, designed to help students become familiar with the exam format. Collegedunia has made these valuable resources available to students, giving them access to high-quality practice materials.

The official website for mock tests and sample papers is jeemain.nta.nic.in.
To download the JEE Main Mathematics Sample Paper 2026 PDF by NTA, visit the official JEE Main website.
Head to the Sample Paper or Archive Section.
Select the year 2026 and choose Mathematics as the subject, then download the PDF for your practice.

The JEE Main Mathematics Sample Paper 2026 PDF by NTA is an essential resource for candidates, as it showcases the types of questions, the format, and the recent trends in Mathematics exams. You can explore these sample papers and also check out the JEE Main Mathematics Sample Paper 2026 by NTA along with previous years' question papers and solutions.

Download JEE Main Mathematics Sample Paper 2026 with Solutions

JEE Main Mathematics Sample Paper 1	Download PDF
JEE Main Mathematics Sample Paper 2	Download PDF
JEE Main Mathematics Sample Paper 3	Download PDF
JEE Main Mathematics Sample Paper 4	Download PDF
JEE Main Mathematics Sample Paper 5	Download PDF

Why Practice with JEE Main Mathematics Sample Papers?

Practicing with sample papers is one of the most effective ways to prepare for JEE Main, especially for Mathematics. Here’s why:

Familiarity with Exam Format: Sample papers are modeled after the actual exam. By solving these papers, students become familiar with the format of the exam, the distribution of marks, and the types of questions they may encounter.
Improved Time Management: Mathematics can be time-consuming, especially in JEE Main. By practicing with sample papers, students can improve their time management skills and learn to tackle questions quickly and accurately.
Assessment of Strengths and Weaknesses: Solving sample papers gives students a chance to identify areas where they excel and areas where they need more practice. This helps in focusing their revision on the topics that require the most attention.
Builds Confidence: Familiarity with the exam pattern and repeated practice boosts confidence. When students practice consistently, they develop a sense of mastery over the topics, reducing exam anxiety.
Simulates Real Exam Conditions: Practicing under timed conditions replicates the actual exam scenario. It helps students get comfortable with working under pressure and strengthens their mental endurance.

JEE Main 2026 Mathematics Sample Paper PDF with Solutions: All Shifts Available

The JEE Main 2026 Mathematics sample papers provide essential practice material to help students get acquainted with the exam structure and difficulty level.
These papers mimic the actual exam format, helping students stay prepared for the range of questions they might face.
By solving these papers along with the JEE Main Mathematics Sample Paper 2026 PDF with solutions, students can improve their problem-solving skills and get comfortable with the exam’s time constraints.

The JEE Main Mathematics Sample Paper 2026 PDF by NTA is an invaluable resource for all aspiring engineers. Regular practice with these sample papers, along with focused revision, will ensure that students are thoroughly prepared for the JEE Main examination.

JEE Main Questions

1.
Locus of the mid-point of chord of circle \(x^2 + y^2 - 6x - 8y - 11 = 0\), subtending a right angle at the center is

\(x^2 + y^2 - 6x - 8y + 7 = 0\)
\(x^2 + y^2 - 6x - 8y - 7 = 0\)
\(x^2 + y^2 + 6x + 8y - 7 = 0\)
\(x^2 + y^2 - 6x + 8y + 7 = 0\)

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2.
A person has 3 different bags & 4 different books. The number of ways in which he can put these books in the bags so that no bag is empty, is

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3.
The mean & variance of \(x_1, x_2, x_3, x_4\) is 1 and 13 respectively and the mean and variance of \(y_1, y_2, \dots, y_6\) be 2 and 1 respectively, the variance of \(x_1, x_2, \dots, x_4, y_1, y_2, \dots, y_6\) will be

6.04
6.00
5.85
5.99

View Solution

4.
If \(\int_0^{\pi/4} \left[ \cot(x - \frac{\pi}{3}) - \cot(x + \frac{\pi}{3}) + 1 \right] dx = \alpha \log(\sqrt{3} - 1)\) then \(9\alpha\) is

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5.
The line passing through point of intersection of \(3x + 4y = 1\) and \(4x + 3y = 1\) intersects axes at P and Q, then locus of midpoint of PQ is

\(\frac{1}{x} + \frac{1}{y} = 14\)
\(\frac{3}{x} + \frac{4}{y} = 14\)
\(\frac{4}{x} + \frac{3}{y} = 14\)
\(x + y = 14\)

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6.
Let \(O\) be the vertex of the parabola \(y^2 = 4x\). Let \(P\) and \(Q\) be two points on parabola such that chords \(OP\) and \(OQ\) are perpendicular to each other. If the locus of mid-point of segment \(PQ\) is a conic \(C\), then latus rectum of \(C\) is

View Solution

JEE Main Mathematics Sample Paper 2026 PDF by NTA

Download JEE Main Mathematics Sample Paper 2026 with Solutions

Why Practice with JEE Main Mathematics Sample Papers?

JEE Main 2026 Mathematics Sample Paper PDF with Solutions: All Shifts Available

JEE Main Questions

1.
Locus of the mid-point of chord of circle \(x^2 + y^2 - 6x - 8y - 11 = 0\), subtending a right angle at the center is

2.
A person has 3 different bags & 4 different books. The number of ways in which he can put these books in the bags so that no bag is empty, is

3.
The mean & variance of \(x_1, x_2, x_3, x_4\) is 1 and 13 respectively and the mean and variance of \(y_1, y_2, \dots, y_6\) be 2 and 1 respectively, the variance of \(x_1, x_2, \dots, x_4, y_1, y_2, \dots, y_6\) will be

4.
If \(\int_0^{\pi/4} \left[ \cot(x - \frac{\pi}{3}) - \cot(x + \frac{\pi}{3}) + 1 \right] dx = \alpha \log(\sqrt{3} - 1)\) then \(9\alpha\) is

5.
The line passing through point of intersection of \(3x + 4y = 1\) and \(4x + 3y = 1\) intersects axes at P and Q, then locus of midpoint of PQ is

6.
Let \(O\) be the vertex of the parabola \(y^2 = 4x\). Let \(P\) and \(Q\) be two points on parabola such that chords \(OP\) and \(OQ\) are perpendicular to each other. If the locus of mid-point of segment \(PQ\) is a conic \(C\), then latus rectum of \(C\) is

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Download JEE Main Mathematics Sample Paper 2026 with Solutions

Why Practice with JEE Main Mathematics Sample Papers?

JEE Main 2026 Mathematics Sample Paper PDF with Solutions: All Shifts Available

JEE Main Questions

1.Locus of the mid-point of chord of circle \(x^2 + y^2 - 6x - 8y - 11 = 0\), subtending a right angle at the center is

2.A person has 3 different bags & 4 different books. The number of ways in which he can put these books in the bags so that no bag is empty, is

3.The mean & variance of \(x_1, x_2, x_3, x_4\) is 1 and 13 respectively and the mean and variance of \(y_1, y_2, \dots, y_6\) be 2 and 1 respectively, the variance of \(x_1, x_2, \dots, x_4, y_1, y_2, \dots, y_6\) will be

4.If \(\int_0^{\pi/4} \left[ \cot(x - \frac{\pi}{3}) - \cot(x + \frac{\pi}{3}) + 1 \right] dx = \alpha \log(\sqrt{3} - 1)\) then \(9\alpha\) is

5.The line passing through point of intersection of \(3x + 4y = 1\) and \(4x + 3y = 1\) intersects axes at P and Q, then locus of midpoint of PQ is

6.Let \(O\) be the vertex of the parabola \(y^2 = 4x\). Let \(P\) and \(Q\) be two points on parabola such that chords \(OP\) and \(OQ\) are perpendicular to each other. If the locus of mid-point of segment \(PQ\) is a conic \(C\), then latus rectum of \(C\) is

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1.
Locus of the mid-point of chord of circle \(x^2 + y^2 - 6x - 8y - 11 = 0\), subtending a right angle at the center is

2.
A person has 3 different bags & 4 different books. The number of ways in which he can put these books in the bags so that no bag is empty, is

3.
The mean & variance of \(x_1, x_2, x_3, x_4\) is 1 and 13 respectively and the mean and variance of \(y_1, y_2, \dots, y_6\) be 2 and 1 respectively, the variance of \(x_1, x_2, \dots, x_4, y_1, y_2, \dots, y_6\) will be

4.
If \(\int_0^{\pi/4} \left[ \cot(x - \frac{\pi}{3}) - \cot(x + \frac{\pi}{3}) + 1 \right] dx = \alpha \log(\sqrt{3} - 1)\) then \(9\alpha\) is

5.
The line passing through point of intersection of \(3x + 4y = 1\) and \(4x + 3y = 1\) intersects axes at P and Q, then locus of midpoint of PQ is

6.
Let \(O\) be the vertex of the parabola \(y^2 = 4x\). Let \(P\) and \(Q\) be two points on parabola such that chords \(OP\) and \(OQ\) are perpendicular to each other. If the locus of mid-point of segment \(PQ\) is a conic \(C\), then latus rectum of \(C\) is