List of top Mathematics Questions asked in UP Board

Rasheed got a spinning top (Lattu) as his birthday present. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is 3.5 cm as shown in the figure. Find the area Rasheed has to colour. (Take } $\pi = \dfrac{22}{7}$ 

A juice seller was serving his customers using glasses as shown in the given figure. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of the glass was 10 cm, then find the apparent capacity of the glass and its actual capacity. (Take } $\pi = 3.14$ \textbf{) 

Find the median of the following distribution table: 

In the figure, if $LM \parallel CB$ and $LN \parallel CD$, then prove that $\dfrac{AM}{BM} = \dfrac{AN}{DN}$. 

Find the mean of the following frequency table: 

The modal class of the following frequency table will be: 

Mean of the following table will be: 

A chord of a circle of radius 15 cm subtends an angle $60^\circ$ at the centre. Find the area of minor and major sectors of the circle. \[ (\pi = 3.14, \ \sqrt{3} = 1.73) \]
Prove that the lengths of tangents drawn from an external point to a circle are equal.
Find the LCM of the numbers 92 and 510.
If the points $(1, 4)$, $(a, -2)$, and $(-3, 16)$ are collinear, then find the value of $a$.
If the distance between the points $(x, 5)$ and $(2, -3)$ is 17 units, then find the value of $x$.
The discriminant of the quadratic equation $x^2 + x - 1 = 0$ will be
The sum of the roots of the quadratic equation $1 - 4x + 4x^2 = 0$ will be
The angle of a sector of a circle of radius 4 cm is $60^\circ$. Its area will be
The radius of the base of a cylinder is 3.5 cm. If its height is 8.4 cm, then its curved surface area will be
A bag contains 3 red and 5 black balls. One ball is drawn out at random. The probability of it being a red ball will be
If \( p \sin \theta = q \cos \theta \), then the value of \(\csc \theta\) will be
The eleventh term of the A.P. \(-62, -59, \dots, 7, 10\) will be
If \(P(E) = 0.05\), then the value of \(P(\overline{E})\) will be
If the roots of the equation \(3x^2 + 5x - q = 0\) are equal, then the value of \(q\) will be
The value of \(\tan 1^\circ \tan 2^\circ \tan 3^\circ \dots \tan 88^\circ \tan 89^\circ\) will be
Prove that $(\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 = 7 + \tan^2 \theta + \cot^2 \theta$.
The maximum number of tangents drawn from an external point to a circle will be
The distance of point (7, 3) from y-axis will be