List of top Mathematics Questions

If the radius of a sphere becomes \(3\) times, then its volume will become:
The areas of the bases of a cone and a cylinder are equal and their curved surface areas are also equal. If the height of the cylinder is \(2\) metre, then the slant height of the cone is:
If the volume of a cube is \(125\ \text{cm}^3\) then the ratio of the side of the cube and the space diagonal of the cube is:
\(\dfrac{\sqrt{81}}{2}\) is:
The external radius of a metallic pipe is \(4\) cm and its internal radius is \(3\) cm. If its length is \(10\) cm, then the volume of metal is:
If \( \sin 48^\circ = p \), then the value of \( \tan 48^\circ \) is:
The base diameter of a cone is \(10\) cm and its height is \(12\) cm. Then the volume of the cone is:
If the radius of a wheel is \( \dfrac{35}{44} \) metre, then the distance covered in \(2\) revolutions is:
How many solid spheres of radius \(1\) cm can be made from a solid sphere of radius \(8\) cm (assuming no loss of material)?
If \( \tan 27^\circ \cdot \tan 63^\circ = \sin A \), then the value of \(A\) is:
If \(O\) is the centre and \(r\) is the radius of a circle and \(\angle AOB=\theta\) (in degrees), then the length of arc \(AB\) is equal to:
The value of \( \dfrac{\cos 37^\circ}{\sin 53^\circ} + \dfrac{\cot 34^\circ}{\tan 56^\circ} \) is:
Evaluate \( \dfrac{\cos 60^\circ + 1}{\cos 60^\circ - 1} \).
Evaluate \( \sin 54^\circ - \cos 36^\circ \).
Evaluate \(2(\sin 45^\circ - \cos 45^\circ)\).
The value of \( \csc^{2}\theta - \cot^{2}\theta \) is:
Evaluate \( \cos 1^\circ \cdot \cos 2^\circ \cdot \cos 3^\circ \cdots \cos 90^\circ \).
If \( \dfrac{A}{5} = 12^\circ \), then the value of \( 3\csc^{2} A \) will be:
If one root of the quadratic equation \(2x^2 + px - 3 = 0\) is \(-3\), then the value of \(p\) will be:
For what values of \(k\) are the roots of the quadratic equation \(9x^2 + 3kx + 4 = 0\) real and equal?
If \( \alpha, \beta \) are the roots of the equation \( x^2 + 3px + 2p^2 = 0 \) and \( \alpha^2 + \beta^2 = 5 \), then the value of \(p\) is:
The roots of the quadratic equation \(a^{2}p^{2}x^{2}-q^{2}=0\) are:
The ratio of the sum of the roots and the product of the roots of the quadratic equation \(x^2 - 15x + 50 = 0\) is:
If \(-5\) and \(-1\) are the roots of a quadratic equation, then the equation will be:
If \( P(0,0) \), \( Q(8,0) \) and \( R(0,12) \) are the vertices of \( \triangle PQR \), then the area of \( \triangle PQR \) is: