List of top Mathematics Questions asked in CBSE Class X

Four tangents drawn to a circle are extended from both the sides to form a quadrilateral. Which of these quadrilateral is not possible ?

If \(x \cdot \tan 45^\circ \cdot \sin 30^\circ = \cos 30^\circ \cdot \cot 60^\circ\), then x is equal to

If pair of linear equations given by \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) has infinitely many solutions, then which of the following is definitely true ?

The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

At which of the following points, the quadratic polynomial \(p(x) = - 3x + 18x^2 - 1\) intersects the positive x-axis ?

Draw the graph of the pair of linear equations $x - y + 2 = 0$ and $4x - y - 4 = 0$. Calculate the area of the triangle formed by the lines so drawn and the x-axis.

Find a quadratic polynomial whose zeroes are $(5 - 2\sqrt{3})$ and $(5 + 2\sqrt{3})$.

Find the ratio in which the x-axis divides the line segment joining the points ($-$6, 5) and ($-$4, $-$1). Also, find the point of intersection.

Prove that $\sqrt{3}$ is an irrational number.

The marks obtained by 80 students of class X in a mock test of Mathematics are given below in the table. Find median and the mode of the data :

Two concentric circles are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle.

A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8 : 5, then find the ratio between the radius of their bases to their height.

Do the points P(1, 0), Q($-$5, 0) and R($-$2, 5) form a triangle ? If so, name the type of triangle formed.

Assertion (A) : The polynomial $p(y) = y^2 + 4y + 3$ has two zeroes.
Reason (R) : A quadratic polynomial can have at most two zeroes.

The natural number 2 is :

Assertion (A) : The probability that a leap year has 53 Mondays is $\frac{2}{7}$.
Reason (R) : The probability that a non-leap year has 53 Mondays is $\frac{5}{7}$.

The HCF of 960 and 432 is :

A die is thrown once. Probability of getting a number other than 3 is :

In the given figure, PA is a tangent from an external point P to a circle with centre O. If $\angle\text{POB} = 125^\circ$, then $\angle\text{APO}$ is equal to :

In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of $45^\circ$ at the centre. If the radius of the circle is $32 \text{ cm}$, then the length of the arc XYZ is :

Shown in the given figure is a circle with centre O. The area of the minor sector is $7 \text{ cm}^2$. Area of circle is :

If the mean and mode of a data are 12 and 21 respectively, then its median is :

The radius of a sphere (in cm) whose volume is $36\pi \text{ cm}^3$, is :

If TP and TQ are two tangents to a circle with centre O from an external point T so that $\angle\text{POQ} = 120^\circ$, then $\angle\text{PTQ}$ is equal to :

Given that $\sin\theta = \frac{a}{b}$, then $\cos\theta$ is equal to :