List of top Mathematics Questions asked in UP Board

The radius of the base of a cone is 3.5 cm and the height is 12 cm. Find the slant height of the cone.

If \( \sin 3A = \cos (A - 26^\circ) \), where \( 3A \) is an acute angle, find the value of \( A \).

The mean of the following table will be:

The median class of the following table will be:

If mean and median of a distribution are 24.5 and 26 respectively, then its mode will be:

Without doing the actual long division process, find if the expansion of the rational number \( \frac{637}{7280} \) is a terminating or non-terminating repeating decimal. Give reasons for your answer.

In the figure, the area of sector OAB will be:

In the given figure, \( DE \) is drawn parallel to base \( BC \) of triangle \( ABC \). If \( DB = 7.2 \) cm, \( AE = 1.8 \) cm, and \( EC = 5.4 \) cm, then the value of \( AD \) will be:

Heights of two similar triangles are 3 cm and 4 cm respectively. Ratio of the areas of the triangles will be:

The value of \( 2 \tan^2 45^\circ + \cos^2 30^\circ - \sin^2 60^\circ \) will be:

The value of \( \cos^2 67^\circ - \sin^2 23^\circ \) will be:

In a triangle ABC, $\angle C = 90^\circ$ and $\tan A = \frac{1}{\sqrt{3}}$. The value of the following will be: \[ \sin A \cos B + \cos A \sin B \]

The discriminant of the equation $3x^2 - 2x + \frac{1}{3} = 0$, will be:

Distance between two points \( (2, 3) \) and \( (4, 1) \) will be:

In the decimal expansion of the number $\frac{129}{125}$, the number of digits will be:

If the sum and difference of two numbers are 8 and 2 respectively, the numbers will be:

If one root of the equation $2x^2 + ax + 6 = 0$ is 2, then the value of $a$ will be:

The roots of equation \( 4x^2 - 12x + 9 = 0 \) will be:

The largest number which divides 245 and 1037, leaving remainder 5 in each case, will be:

If LCM of 26, 156 is 156, then the value of HCF will be:

Solve the following pair of equations: \[ \frac{3}{x} + \frac{2}{y} = 11, \quad \frac{4}{x} - \frac{5}{y} = 7. \]

The distance between the points $P(2, -3)$ and $Q(10, v)$ is 10 units. The value of $v$ will be:

A solid is in the shape of a cone which is surmounted on a hemisphere of same base radius. If the curved surfaces of hemisphere and cone are equal, find the ratio of radius and height of the cone.

A solid sphere is made by melting the three metallic solid spheres of diameters 12 cm, 16 cm and 20 cm. Find the diameter of this solid sphere.

A fraction becomes \( \frac{1}{3} \) when 1 is added to the numerator and it becomes \( \frac{1}{4} \) when 1 is subtracted from its denominator. Find the fraction.