Mathematics · JEE

Important Questions: Mathematics for JEE

514+ syllabus-aligned questions available

Quick answer

The most important Mathematics questions for JEE cover conceptual traps, standard results, and numerical patterns from Sets, Relations and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, and more. Goodmarks provides 510+ high-yield MCQs with full solutions.

Focus on what matters most. These important Mathematics questions cover high-weightage concepts from Sets, Relations and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, and more — the topics JEE repeats every year.

Mathematics units covered

Free sample questions

Attempt 8 free MCQs for Mathematics. Unlock 506+ more with Pro.

Unlock full bank

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?

Want unlimited Mathematics practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What makes a Mathematics question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Mathematics are high-weightage?

Key areas include Sets, Relations and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, and more. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.