CBSE 10 Maths Question Paper-2022 Set-2

What is the mode of the following frequency distribution?

What is the 8th term of an AP whose first term is 24 and 11th term is 21?

In the figure, PA and PB are tangents to the circle with center at O. If ∠APB = 70°, then find ∠AQB.

For what value of p, does the quadratic equation px² + 2x + p = 0 have real and equal roots?

Find the mode of the following frequency distribution: Class 100-110, Frequency 5; Class 110-120, Frequency 9; Class 120-130, Frequency 8; Class 130-140, Frequency 11; Class 140-150, Frequency 7.

How many solid cones of height 3 cm and radius 2 cm can be formed by melting a solid sphere of radius 3 cm?

Find the 15th term of an AP whose first term is 17 and the fourth term is 44.

Determine the median of the following frequency distribution: Class 15-20, Frequency 8; Class 20-25, Frequency 13; Class 25-30, Frequency 21; Class 30-35, Frequency 12; Class 35-40, Frequency 5; Class 40-45, Frequency 4.

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. What is the height of the tower?

Find the mean of the following frequency distribution: Class 100-110, Frequency 5; Class 110-120, Frequency 4; Class 120-130, Frequency 6; Class 130-140, Frequency 8; Class 140-150, Frequency 3; Class 150-160, Frequency 4.

Find the height of the multi-storey building given that the angles of depression of the top and bottom of a 6 m tall building are 30° and 45° respectively. The distance between the two buildings is 50 m.

Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

Determine the number of articles produced on a day if the cost of production of each article is one more than twice the number of articles produced, and the total cost of production is 210.

Find the height of the standing water on the roof if the surface area of the roof is 100 m² and the cuboidal pit measures 3 m × 3 m × 2 m.

Which tank would hold more water: a cuboidal pit with a surface area of 100 m² and dimensions 3 m × 3 m × 2 m, or a cylindrical pit with a diameter of 3 m and height 2 m?

For the following frequency distribution, find the median: Class 15-20, Frequency 8; Class 20-25, Frequency 13; Class 25-30, Frequency 21; Class 30-35, Frequency 12; Class 35-40, Frequency 5; Class 40-45, Frequency 4.

In a right triangle, if one of the angles is 60° and the opposite side is 7 cm, what is the length of the hypotenuse?

What is the sum of the first 20 terms of an arithmetic progression where the first term is 5 and the common difference is 3?

Which of the following is true for a tangent to a circle?

What is the total surface area of a sphere with radius 5 cm?

In a right-angled triangle, if one of the angles is 45° and the length of the hypotenuse is 10 cm, what is the length of the side opposite the 45° angle?

Find the sum of the first 15 terms of an arithmetic progression where the first term is 3 and the common difference is 4.

What is the area of a circle with a radius of 7 cm?

The perimeter of a rectangle is 30 cm, and its length is 8 cm. What is the width of the rectangle?

Find the volume of a cylinder with radius 4 cm and height 9 cm.

What is the value of tan 45°?

In a parallelogram, if the base is 8 cm and the height is 5 cm, what is the area of the parallelogram?

What is the length of the diagonal of a square with side 6 cm?

What is the value of cos 30°?

The angles of elevation of the top and bottom of a transmission tower are 45° and 60°, respectively, from a point on the ground. What is the height of the tower?