List of top Mathematics Questions asked in UP Board X

Find the median of the following frequency distribution:
Prime factors of the number 156 will be:
If the pair of linear equations $2x + 3y = 5$ and $4x + ky = 10$ has infinitely many solutions, then the value of $k$ is:
If the radii of two circles are 4 cm and 3 cm respectively, then the radius of the circle having area equal to the sum of the areas of these circles is:
ABC and BDE are two equilateral triangles such that D is the midpoint of BC. The ratio of the areas of the triangles ABC and BDE is:
If $\cos A = \dfrac{7}{25}$, then the value of $\tan A + \cot A$ is:
If mean and mode of a grouped data are 24 and 12 respectively, then its median is:
In the given figure, if $AD=(x+3)$ cm, $DB=(3x+19)$ cm, $AE=x$ cm, $EC=(3x+4)$ cm and $DE \parallel BC$, then the value of $x$ is:
For any positive even integer \( p \), every positive odd integer will be of the form:
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are equal, then the value of \( c \) is:
The value of $\sin^2 18^\circ - \cos^2 72^\circ$ is:
If the mean of the numbers $7, 8, x, 11, 14$ is $x$, then the value of $x$ is:
The arithmetic mean of the even positive numbers from 1 to 10 will be:
From a boat which is coming towards a bridge, at any instant the angle of elevation of the bridge is 30°. After travelling 4 minutes with the same velocity, the angle of elevation of the bridge becomes 60°. How much more time will be taken by the boat to reach the bridge?
In the following numbers, the rational number is:
The father is 7 times older than his son. Two years ago, the father was 13 times as old as his son. What are their present ages?
The solution of the pair of linear equations \( x + y = 10 \), \( x - y = 4 \) is:
The distance of the point $(5, 9)$ from the $y$-axis is:
If one side of an isosceles right triangle is \( 5\sqrt{2} \) cm, then the length of its hypotenuse is:
Solve the following pair of equations by reducing them to a pair of linear equations: \[ \frac{10}{x + y} + \frac{2}{x - y} = 4 \] \[ \frac{15}{x + y} - \frac{5}{x - y} = 2 \]
The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60°. From point Y, 40 m vertically above X, the angle of elevation of the top Q of the tower is 45°. Find the height of the tower PQ and the distance PX.
Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts.
A fraction becomes \( \frac{1}{3} \) when 1 is subtracted from the numerator and it becomes \( \frac{1}{4} \) when 8 is added to its denominator. Find the fraction.
Two cubes of volume 64 cm\(^3\) each are joined end to end to make a solid. Find the surface area of the resulting cuboid.
A sphere of diameter 12 cm is dropped into a right circular cylindrical vessel partly filled with water. If the sphere is emersed completely in the water, the water level in the cylindrical vessel rises by \( \frac{35}{9} \) cm. Find the diameter of the cylindrical vessel.