List of top Mathematics Questions asked in Bihar Board X

If \( (0,4) \), \( (0,0) \), and \( (3,0) \) are the vertices of a triangle, then the perimeter of the triangle is:
In a throw of one die, the probability of occurrence of a number less than 5 is
How many terms are in the A.P. 3, 8, 13, 18, ..., 93 ?
What is the 35th term of the A.P. 20, 17, 14, 11, ... ?
The point \( (-2\sqrt{2}, -2) \) lies in which quadrant?
The sum of the first 30 terms of the A.P. 1, 3, 5, 7, ... is:
The distance between the points \( (5\cos 0, 0) \) and \( (0, 5\sin 0) \) is:
Which of the following numbers cannot be a probability?
If the probability of occurrence of an event \( A \) is 0.35, then the probability of non-occurrence of \( A \) is:
The mode of 23, 15, 25, 40, 27, 25, 22, 25, 20 is:
The median of a frequency distribution is 40 and mean is 2. Then its mode is:
If the mean of \(x, x + 3, x + 5, x + 7, x + 10\) is 9, then the value of \(x\) is
The minimum value of probability is:
In tossing of three coins, the number of possible outcomes is:
Prove that:
\[ \frac{\sec^3 0}{\sec^2 0 -1} + \frac{\cosec^3 0}{\cosec^2 0 -1} = \sec 0 \cosec 0 ( \sec 0 + \cosec 0 ). \]
The angle of elevation of the top of a building from the foot of a tower is \( 30^\circ \), and the angle of elevation of the top of the tower from the foot of the building is \( 60^\circ \). If the tower is 50 m high, find the height of the building.
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
Construct a triangle with sides 4 cm, 5 cm, and 6 cm and then construct another triangle similar to it whose sides are \( \frac{2}{3} \) of the corresponding sides of the first triangle.
Find the mode of the following distribution:
\[ \begin{array}{c|c|c|c|c|c|c} \text{Class-Interval} & 80-85 & 85-90 & 90-95 & 95-100 & 100-105 & 105-110 & 110-115 \\ \hline \text{Frequency} & 33 & 27 & 85 & 155 & 110 & 45 & 15 \end{array} \]
The Mean of First Seven Multiples of 5 is
The median of 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22 is:
A 20 m deep well with a diameter of 7 m is dug, and the soil from digging is evenly spread out to form a platform of 22 m × 14 m. Find the height of the platform.
Draw the graph of the pair of linear equations \( 3x - 5y + 1 = 0 \) and \( 2x - y + 3 = 0 \) and solve them.
An isosceles triangle has \( AB = AC = 13 \) cm. If the length of the perpendicular from vertex \( A \) to \( BC \) is 5 cm, find the length of \( BC \).
A ladder 15 m long makes an angle of \( 60^\circ \) with the wall. Find the height of the point on the wall where the ladder touches the wall.