List of top Mathematics Questions asked in CBSE Class X

In the given figure, $\Delta ABC$ is an equilateral triangle. $AD$ is a median of the triangle joining the points $A\left(0, \frac{5\sqrt{3}}{2}\right)$, $D(0, 0)$. Points B and C are (in same order) :

The value of $\left(\frac{1}{2} \tan^2 45^\circ - \cos^2 60^\circ\right)$ is :

Equation of another line parallel to the line represented by $2x - 6y = 7$ is :

The median and mode of a distribution are $25.2$ and $26.1$ respectively. The mean of the distribution is :

In $\Delta DEF$, AB $\parallel$ EF. The value of x is :

A cone of maximum size is carved out from a solid cube of edge length $l$. The volume of the cone is :

In the given figure, PQ and PR are tangents to a circle with centre O and radius 3 cm. If $\angle QPR = 60^\circ$, then the length of each tangent is :

$(3 \times 11 \times 13 + 3)$ is :

If the length of the shadow of a tower is $\sqrt{3}$ times that of its height, then altitude of the Sun is :

The number of multiples of 4 lying between 12 and 250 is :

If the roots of the quadratic equation $\sqrt{3}x^2 - kx + 2\sqrt{3} = 0$ are real and equal, then the value(s) of k is/are :

Assertion (A) : $\tan 2\theta$ is not defined at $\theta = 45^\circ$.
Reason (R) : $\sin 90^\circ \neq \cos 90^\circ$.

Given that $\sin 2\alpha = \frac{\sqrt{3}}{2}$, the value of $\sin 3\alpha$ is :

It is given that $\Delta ABC \sim \Delta QRP$ such that $AB = 9$ cm, $BC = 5$ cm and $PR = 2$ cm. Length of side QR is :

Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is :

If \(2 \sin A = 1\), then the value of \(\tan A + \cot A\) is :

If \(\cos A = \frac{4}{5}\), then the value of \(\tan A\) is :

In triangles ABC and PQR, \(\angle A = \angle Q\) and \(\angle B = \angle R\), then AB : AC is equal to :

If \(\alpha\) and \(\beta\) are two zeroes of a polynomial \(f(x) = px^2 - 2x + 3p\) and \(\alpha + \beta = \alpha\beta\), then value of p is :

For any natural number n, \(5^n\) ends with the digit :

Area of a segment of a circle of radius 'r' and central angle \(60^\circ\) is :

The graph of y = f(x) is given. The number of distinct zeroes of y = f(x) is :

The probability for a randomly selected number out of 1, 2, 3, 4, ..., 25 to be a composite number is :

The LCM of 960 and 240 is :

A hemispherical bowl is made of steel of thickness 1 cm. The outer radius of the bowl is 6 cm. The volume of steel used (in \(\text{cm}^3\)) is :