X MATHS SURFACE AREA & PROBABILITY.

MARKS: 25 SECTION A (1x5 =5)

1.Probability of an event E + Probability of the event ‘not E’ = ________.

2.The probability of an event is greater than or equal to ______ and less than equal to _______.

3.A shuttle cock used for playing badminton has the shape of the combination of

(A) a cylinder and a sphere

(B) a cylinder and a hemisphere

(D) frustum of a cone and a hemisphere

4.In a right circular cone, the cross-section made by a plane parallel to the base is a

(A) circle (B) frustum of a cone

5.During conversion of a solid from one shape to another, the volume of the new shape will

(A) increase (B) decrease

SECTION B (2X5=10)

6.An integer is chosen between 0 and 100. What is the probability that it is

(i) divisible by 7? (ii)not divisible by 7?

7. A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is

(i) not red? (ii)white?

8.Two dice are thrown at the same time. Determine the probabiity that the difference of the numbers on the two dice is 2.

9.Two identical cubes each of volume 64cm3

are joined together end to end. What is the surface area of the resulting cuboid?

10.How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm.

SECTION C (5X2=10)

11.a)A juice seller was serving his

customers using glasses as shown in Fig. 12.13.

The inner diameter of the cylindrical glass was

5 cm, but the bottom of the glass had a

hemispherical raised portion which reduced the

capacity of the glass. If the height of a glass

was 10 cm, find the apparent capacity of the

glass and its actual capacity. (Use π= 3.14.)

(OR)

b)A gulab jamun, contains sugar syrup up to about

30% of its volume. Find approximately how much

syrup would be found in 45 gulab jamuns, each

shaped like a cylinder with two hemispherical ends

with length 5 cm and diameter 2.8 cm.

12.a) A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn

at random from the box, what is the probability that it will be

(i) white? (ii) blue? (iii) red?

(OR)

b)Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes.What is the probability that the sum of the two numbers appearing on the top of the dice is

(i) 8? (ii) 13? (iii) less than or equal to 12?

ALL THE BEST .