Mathematics · JEE

Online Practice: Mathematics for JEE

514+ syllabus-aligned questions available

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Sharpen your mathematics preparation with interactive online practice for Mathematics. Goodmarks offers 510+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

How do I practice Mathematics online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Mathematics question bank with topic filters and detailed explanations.

How many Mathematics questions are available?

Goodmarks currently has 514+ JEE-aligned MCQs for Mathematics, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Sets, Relations and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, and more.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.