List of top Mathematics Questions asked in UP Board X

If one root of the quadratic equation $x^2 + 3x - p = 0$ is 2, then find the value of $p$.
Find two consecutive odd positive integers, sum of whose squares is 290.
Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle is bisected at the point of contact.
When a die is thrown once, the probability of getting an even number will be:
If the mean and mode of some data are 32 and 35 respectively, then its median will be:
Capsule is a combination of:
The volume of a cube is 1331 cm$^3$. Find its each side.
If two dice are tossed together, then the probability of getting the sum of numbers on both the dice as 10 is:
The area of a quadrant of a circle whose circumference is 22 cm will be:
The value of $\dfrac{\sin 27^\circ}{\cos 63^\circ}$ will be:
If $\cos A = \dfrac{\sqrt{3}}{2}$, then the value of $\sin 2A$ will be:
The value of $\dfrac{1 + \tan^2 A}{1 + \cot^2 A}$ will be:
$\sin 2A = 2 \sin A$ is true when $A$ is equal to:
The discriminant of the quadratic equation $ax^2 + bx + c = 0$ will be:
Distance between two points (2, 3) and (1, 1) will be:
Common difference for the Arithmetic Progression (AP): $-5, -1, 3, 7, \ldots$ will be:
If the roots of the quadratic equation $3x^2 - 12x + m = 0$ are equal, then the value of $m$ will be:
The solution of a pair of linear equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ will be:
$\triangle ABC$ is an equilateral triangle of side $2a$. The length of each of its altitudes will be:
Maximum number of zeroes of a cubic polynomial will be:
The relation between dividend, divisor, quotient and remainder will be:
Prime factors of number 140 will be:
Sum of two numbers is 8 and sum of their inverses is \( \frac{8}{15} \). Find the numbers.
Find two consecutive positive integers whose sum of squares is 365.
The angle of elevation of the top of a cable tower from the top of a building of height 7 metre is 60\(^\circ\) and the angle of depression of its bottom is 45\(^\circ\). Find the height of the cable tower.