CBSE 10 Maths Question Paper-2016

Find the 9th term from the end of the A.P. 5, 9, 13, ..., 185.

What is the probability that the selected card from a box numbered from 3 to 50 is a perfect square?

In Fig. 1, a 6 m high pole and a ladder inclined at an angle of 60° are given. If AD = 2.54 m, find the length of the ladder.

What is the value of ∠AOB if ∠PAB = 50° and tangents PA and PB are drawn from external point P to a circle with center O?

If x = 2/3 and 3x = -1, find the values of a and b in the equation 2ax + bx + 7 = 0.

Find the ratio in which the y-axis divides the line joining points A(5, 6) and B(1, 4). Also, find the coordinates of the point of division.

In triangle ABC, a circle is inscribed such that it touches sides AB, BC, and CA at points D, E, and F. If the sides of the triangle are AB = 12 cm, BC = 8 cm, and CA = 10 cm, find the lengths of AD, BE, and CF.

The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from Q(2, -5) and R(-3, 6), find the coordinates of P.

How many terms of the arithmetic progression 18, 16, 14, ..., must be taken so that their sum is zero?

In Fig. 3, AP and BP are tangents to a circle with center O, such that AP = 5 cm and ∠APB = 60°. Find the length of chord AB.

Find the total surface area of a block made up of two solids—a cube of side 6 cm and a hemisphere fixed on the top with a diameter of 3.5 cm.

A well of diameter 4 m is dug 21 m deep. The earth taken out has been spread evenly to form an embankment in the shape of a circular ring with a width of 3 m. Find the height of the embankment.

A box contains 100 shirts, of which 88 are good, 8 have minor defects, and 4 have major defects. What is the probability that Ramesh will buy the selected shirt?

Find the volume of a cone with base radius 3 cm and curved surface area of 47.1 cm².

A toy is made in the form of a cone with base radius 3.5 cm and height 7 cm, mounted on a hemisphere with diameter 7 cm. If the total height of the toy is 15.5 cm, find the total surface area.

Find the sum of the first n terms of an A.P. where the sum of the first 7 terms is 49 and the sum of the first 17 terms is 289.

Solve for x: x² + 3x - 4 = 0.