List of top Mathematics Questions asked in UP Board

D is a point on the side BC of a triangle ABC such that \( \angle ADC = \angle BAC \). Prove that \( CA^2 = CB \times CD \).
If \( \sin\theta = \dfrac{3}{4} \), then the value of \( \tan\theta \) will be:
The value of \( (\csc A + \cot A)(1 - \cos A) \) will be:
The value of \( \dfrac{1 - \tan^2 A}{1 - \cot^2 A} \) will be:
Prove that \( \dfrac{1 + \sec A}{\sec A} = \dfrac{\sin^2 A}{1 - \cos A} \).
A chord of a circle of radius 21 cm subtends a right angle at the centre. Find the area of the corresponding minor segment.
A tangent PQ at a point P of a circle of radius 10 cm meets a line through the centre O at a point Q so that OQ = 12 cm. The length of PQ will be:
The value of \( 2\sin30^\circ \cos30^\circ \) is:
If one root of the equation \( x^2 - kx - 8 = 0 \) is 2, then the value of \( k \) will be:
If two cubes each of volume 8 cm\(^3\) are joined end-to-end, then the surface area of the resulting cuboid will be:
Find the 20th term of the Arithmetic Progression (A.P.) 10, 7, 4, …
If the area of a sector of a circle of radius 14 cm is 154 cm\(^2\), then the angle of the sector will be:
The difference of a rational number and an irrational number is:
Which of the following numbers is a rational number?
One card is drawn from a well-shuffled pack of 52 cards. The probability of getting a face card is:
The number of solutions of the pair of linear equations \( x - y = 8 \) and \( 3x - 3y = 16 \) will be:
The sum of the zeroes of the quadratic polynomial \( 4x^2 - 4x + 1 \) will be:
The distance between the points (a, b) and (b, -a) will be:
Given that LCM (12, 21) = 84, HCF (12, 21) will be:
The mode and median of a frequency distribution are 42 and 38.1 respectively. Find its mean.
A box contains 6 blue, 4 white, and 8 red marbles. If a marble is drawn at random, find the probability that it is blue.
Two poles of equal heights are standing opposite to each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are $60^\circ$ and $30^\circ$ respectively. Find the height of the poles and the distance of the point from the pole.
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, then determine the number of blue balls in the bag.
Find the zeroes of the quadratic polynomial $x^2 + 7x + 10$ and verify the relationship between the zeroes and the coefficients.
The velocity of a boat is 18 km/h in still water. It takes one hour more to travel 24 km in downstream and 24 km in upstream. Find the speed of the current.