List of practice Questions

If \( \sin 48^\circ = p \), then the value of \( \tan 48^\circ \) is:
If \( \tan 27^\circ \cdot \tan 63^\circ = \sin A \), then the value of \(A\) is:
If the radius of a wheel is \( \dfrac{35}{44} \) metre, then the distance covered in \(2\) revolutions 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:
How many solid spheres of radius \(1\) cm can be made from a solid sphere of radius \(8\) cm (assuming no loss of material)?
The base diameter of a cone is \(10\) cm and its height is \(12\) cm. Then the volume of the cone is:
Evaluate \( \dfrac{\cos 60^\circ + 1}{\cos 60^\circ - 1} \).
If \( \dfrac{A}{5} = 12^\circ \), then the value of \( 3\csc^{2} A \) will be:
Evaluate \( \sin 54^\circ - \cos 36^\circ \).
Evaluate \( \cos 1^\circ \cdot \cos 2^\circ \cdot \cos 3^\circ \cdots \cos 90^\circ \).
The value of \( \dfrac{\cos 37^\circ}{\sin 53^\circ} + \dfrac{\cot 34^\circ}{\tan 56^\circ} \) is:
Evaluate \(2(\sin 45^\circ - \cos 45^\circ)\).
The value of \( \csc^{2}\theta - \cot^{2}\theta \) is:
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:
The mid-point of the line segment joining the points \( (-2, 8) \) and \( (-6, -4) \) lies in which quadrant?
If \( P(0,0) \), \( Q(8,0) \) and \( R(0,12) \) are the vertices of \( \triangle PQR \), then the area of \( \triangle PQR \) is:
The coordinates of the vertices of a triangle are \( (0,6) \), \( (0,0) \) and \( (8,0) \). Then the perimeter of the triangle is:
If the graphs of two linear equations are coincident lines, then how many solutions do they have?
The graphs of the equations \(2x - y - 3 = 0\) and \(12x + 7y - 5 = 0\) are which type of straight lines?
Which type of straight line will be the graph of \( x - y = 0 \)?