Mathematics · JEE

Mathematics Previous Year Questions for JEE

514+ syllabus-aligned questions available

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Goodmarks offers 510+ JEE-style PYQs for Mathematics with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Mathematics is tested in JEE. Practise 510+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Mathematics units covered

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Q1MathsUnit 4: Permutations and Combinations

The total number of ways of formation of five letter words from the letters of the word

I N D E P E N D E N T,

Q2MathsUnit 5: Binomial Theorem and Its Simple Applications

The coefficient of

x^{9}

in the expansion of

\left(x^{3}+\frac{1}{2^{t}}\right)^{11},

where

t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right)

Q3Maths

The lines

p\left(p^{2}+1\right) y-x+q=0

and

\left(p^{2}+1\right) x+\left(p^{2}+1\right)^{2} y+2 q=0

are perpendicular to a common line for

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

Sum of coefficients in the expeansion of

(a+b+c)^{8}

Q5MathsUnit 10: Co-ordinate Geometry

Draw a circle with centre

O

and radius

6 \mathrm{cm} .

Take a point

P

outside the circle at a distance of

10 \mathrm{cm}

from

0 .

Draw tangents to the circle from point

P .

Let the tangents intersect the circle in points

A

and

B

. Find the area of triangle OBPin sq.cm.

Q6MathsUnit 13: Statistics and Probability

Which one of the following statements is not correct with reference to a histogram?

Q7MathsUnit 2: Complex Numbers and Quadratic Equations

x+\frac{1}{x}=4,

then

x^{4}+\frac{1}{x^{4}}

is equal to

Q8Maths

Which of the following options is not a series?

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Frequently asked questions

Why practise PYQs for Mathematics?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Mathematics, covering the same topics as previous year papers.

How should I use PYQs for Mathematics?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.