List of top Mathematics Questions

Find the value of \( f \) from the following frequency table if 25 is the mean of marks obtained by the students:

Find the co-ordinates of the point divided by x-axis to the line segment joining the points \( (1, -5) \) and \( (-4, 5) \).

Solve the following pair of equations using the cross-multiplication method: \[ 2x + 3y - 46 = 0 \] \[ 3x + 5y - 74 = 0 \]

Find the coordinates of the point A, where AB is the diameter of a circle whose center is \( (2, -3) \) and the coordinates of B are \( (1, 4) \).

Find the value of \( k \) for which the equations \( 2x + ky = 1 \) and \( 3x - 5y = 7 \) have a unique solution.

If \( \cos \theta = \frac{4}{5} \), find the value of \( \sin \theta \cos \theta + \tan^2 \theta \).

Draw a line segment of length 76 cm and divide it in the ratio 3:4. Write the measures of both the two parts.

The median class of the following frequency distribution will be:

The modal class of the following frequency distribution will be:

If the arithmetic mean and mode of the given data are 28 and 16 respectively, the median will be:

The mean of the following table will be:

The dimensions of a metallic solid cuboid are \( 9 \, \text{m} \times 8 \, \text{m} \times 2 \, \text{m} \). It is melted and recast into cubes of dimension 2 m. Thus the number of cubes so formed will be:

Prove that \( \sqrt{3} \) is an irrational number.

Two cubes each of volume 64 cm\(^3\) are joined end to end to form a cuboid. Find the total surface area of the resulting cuboid.

In the figure, the angles of depressions of point O as seen from points A and P are:

In the figure, \( AB = 3 \) cm, \( AC = 6 \) cm, \( BD = 2 \) cm and \( CD = 4 \) cm. The ratio of \( \angle BAD \) and \( \angle CAD \) will be:

Areas of two similar triangles are in the ratio $16 : 25$. The ratio of corresponding sides of the triangles will be:

If the circumference and the area of a circle are numerically equal, the radius of the circle will be:

The value of $\frac{\sin 31^\circ}{\cos 59^\circ}$ will be:

In \( \triangle ABC \) if \( AB = 6\sqrt{3} \) cm, \( AC = 12 \) cm, and \( BC = 6 \) cm, then measure of \( \angle B \) will be:

Point \( P \left( \frac{a}{8}, 4 \right) \) is the mid-point of the line segment joining the points \( A(-4, 2) \) and \( B(5, 6) \). The value of \( a \) will be:

If the roots of the quadratic equation $3x^2 - 12x + m = 0$ are equal, the value of $m$ will be:

The sum of the roots of the equation \( 5x^2 - 3x + 2 = 0 \) will be:

In the given figure, if $PQ : BC = 1 : 3$, then the ratio of $AP : PB$ will be:

The sum of powers of prime factors of the factorization of the number 144 will be: