Class 10 Mathematics questions for CBSE

Plot points A(1, 2) and B(4, 5) as shown in the graph and find the slope of AB.

Find the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees.

A rectangle and a circle have the same area of 154 square meters. If the length of the rectangle is 14 meters, find its width.

From external point P, tangents PA and PB are drawn to a circle with centre O. Using the figure, prove that PA = PB and hence find PB when PA = 12 cm.

If a rectangle and a circle have the same area of 50 cm², what could be a possible radius of the circle?

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

What is the area of a sector with a radius of 4 cm and a central angle of 90°?

Calculate the curved surface area of a frustum of a cone with lower radius 3 cm, upper radius 5 cm, and slant height 6 cm.

If a cylindrical tank has a radius of 7 cm and a height of 10 cm, what is its volume?

What is the volume of a frustum of a cone with radii 3 cm and 5 cm, and height 4 cm?

What is the sum of the first 5 terms of the arithmetic progression 2, 5, 8, ...?

In an arithmetic progression, if the first term is 7 and the common difference is 3, what is the second term?

What is the 5th term of the arithmetic progression where the first term is 3 and the common difference is 2?

Using the substitution method, if x = 2, what is the value of y in the equation x + y = 5?

What does the graphical representation of the pair of linear equations 3x + 2y = 6 and x - y = 1 indicate?

If 2x + 3y = 12 can be transformed into a pair of linear equations, what could be a potential second equation?

If a point P divides the line segment joining A(2, 3) and B(4, 5) in the ratio 1:2, what are the coordinates of P?

What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

If a number can be expressed as p/q, where p and q are integers and q ≠ 0, it is known as what type of number?

Which of the following is an example of an irrational number?