Mathematics

CBSE Class 10

Practice to excel and get familiar with the paper pattern and the type of questions. Check you answers with answer keys provided.

Download the PDF Sample Papers Free for off line practice and view the Solutions online.

Advertisement

1.

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 isa multiple of 4, is

$\frac{4}{15}$

$\frac{2}{12}$

$\frac{1}{5}$

$\frac{1}{3}$

2.

Two circles touch each other externally at P. AB is a common tangent to the circlestouching them at A and B. The value of ∠APB is

30°

45°

60°

90°

4.

In a family of 3 children, the probability of having at least one boy is

$\frac{7}{8}$

$\frac{1}{8}$

$\frac{5}{8}$

$\frac{3}{4}$

Advertisement

5.

A chord of a circle of radius 10 cm subtends a right angleat its centre. The length of the chord (in cm) is

5$\sqrt{2}$

10$\sqrt{2}$

$\frac{5}{\sqrt{2}}$

10$\sqrt{3}$

6.

ABCD is a rectangle whose three vertices are B (4, 0), C(4,3) and D(0, 3). The length of one of its diagonals is

5

4

3

25

7.

The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is

$50\sqrt{3}$

$150\sqrt{3}$

$150\sqrt{2}$

75

8.

In a right triangle ABC, right-angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is

4

3

2

1

Advertisement

9.

The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively. Prove that BD = DC.

Advertisement

Two different dice are tossed together. Find the probability

(i) That the number on each die is even.

(ii) That the sum of numbers appearing on the two dice is 5.

The total number of outcomes when two dice are tossed together is 36.

The sample space is as follows

(i). Favourable outcomes = { (2,2) (2,4) (2,6) (4,2) (4,4)

(6,4) (6,2) (6,4) (6,6) }

Porbability that the number on each dice is even

(ii) Favourable outcomes = { (1,4) (2,3) (3,2) (4,1) }

Probability that the sum of the number appearing on the two dice is 5

Advertisement

Advertisement

Textbook Solutions | Additional Questions