Mathematics · JEE

Mathematics Mock Test for JEE

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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

Q8MathsUnit 6: Sequence and Series

Which of the following options is not a series?

Q9MathsUnit 13: Statistics and Probability

In an experiment with 15 observations on

x,

then following results were available:

\sum x^{2}=2830, \sum x=170

One observation that was 20 was found to be wrong and was replaced by the correct value

30 .

Then the corrected variance is:

Q10Maths

The median of the first 100 natural numbers is

Q11MathsUnit 13: Statistics and Probability

Study the following bar chart and answer the questions based on it. The histogram below shows the marks of 50 students in an examination. Examine the diagram and answer the questions. If the minimum marks for passing is 40 then what percentage of students have failed in the examination?

Q12MathsUnit 1: Sets, Relations and Functions

\mathbf{f}:[\mathbf{0}, \infty) \rightarrow[\mathbf{0}, \infty),

and

\mathbf{f}(\mathbf{x})=\frac{\mathbf{x}}{\mathbf{1}+\mathbf{x}}

then

\boldsymbol{f}

Q13MathsUnit 2: Complex Numbers and Quadratic Equations

What are the solution(s) to the system of equations

\boldsymbol{y}=\boldsymbol{x}^{2}-\mathbf{9}

and

\boldsymbol{y}-\boldsymbol{3}=

x ?

Q14MathsUnit 3: Matrices and Determinants

STATEMENT 1: In a

\Delta A B C, a, b, c

denotes lengths of the sides and

\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0}

then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers

=0 \Rightarrow

each number is zero.

Q15MathsUnit 13: Statistics and Probability

The largest of 50 measurements is 3.84 kg. If the range is

0.46 \mathrm{kg}

, find the smallest measurement.

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Frequently asked questions

How long should a Mathematics mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

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Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

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