CBSE 10 Maths Question Paper-2022 Set-3

What is the formula for the mode of a frequency distribution?

Find the 8th term of an arithmetic progression (AP) whose first term is 24 and 11th term is 21.

What is the solution to the quadratic equation 6x^2 + 2x + 6 = 0?

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

Find the sum of the first ten terms of the arithmetic progression 5, 10, 15, 20,...

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.

Find the first term of an arithmetic progression whose common difference is 6, and the sum of the first ten terms is four times the sum of the first five terms.

What is the 15th term of the arithmetic progression 17, 22, 27,...?

What is the value of x in the equation x^2 + 2x + 1 = 0?

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

If the 12th term of an AP is 40 and the common difference is 5, what is the first term?

In the equation 3x^2 - 5x + 2 = 0, the value of the discriminant is:

Find the median of the following data: 15-20: 8, 20-25: 13, 25-30: 21, 30-35: 12, 35-40: 5, 40-45: 4.

In a frequency distribution, if the sum of the frequencies is 40, what is the sum of the midpoints of the classes?

In a circle, a chord and its perpendicular bisector lie along a radius. What type of triangle is formed by the two halves of the chord and the radius?

The sum of the first five terms of an arithmetic progression is 55. If the common difference is 3, what is the first term?

In a quadratic equation ax^2 + bx + c = 0, if the discriminant is negative, the roots are:

In an arithmetic progression, the 10th term is 50, and the common difference is 5. What is the first term?

Find the sum of the first 20 terms of an arithmetic progression where the first term is 4 and the common difference is 6.

In a right-angled triangle, if one angle is 90 degrees and the other is 30 degrees, the ratio of the length of the side opposite the 30-degree angle to the hypotenuse is:

What is the sum of the interior angles of a hexagon?

In a triangle, if one angle is 90 degrees and the other is 60 degrees, the third angle is:

What is the area of a triangle with a base of 10 cm and a height of 6 cm?

In a circle, the radius is 7 cm. What is the circumference of the circle?

The area of a square is 64 cm². What is the length of one side?

If the side of a cube is 3 cm, what is its volume?

What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

In a right-angled triangle, the lengths of the two legs are 3 cm and 4 cm. What is the length of the hypotenuse?

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

In a quadrilateral, the sum of the angles is: