UT-4Mathematics IX-A

Time-1 ½ hours. M.M-50

Name-Roll no-

All questions are compulsory.

Section-A

Each question carries 1 marks.

1. What is the probability of the event “The sun rises in the east”?2. What is the mode of data – 2,3,4,5,0,1,3,3,4?3. What is the mean of first ten natural numbers?

Section-B

Each question carries 2 marks.

4. What is the median of the data – 83,37,70,29,45,63,41,70,34,54?5. In a cricket match a batsman hits boundary 5 times out of 20 balls he plays. Find the probability

that on a ball he does not hit boundary.6. A cuboidal block of wood is of dimensions 5m×2 m×1m. find the number of cubes of dimensions

1m×1m×1m which can be cut from it,. 7. Find the value of a cone whose radius is 7 cm and weight is 21 cm.

Section – C

Each question carries 3 marks.

8. In a maths test given to 15 students the following marks (out of 100) were recorded:52,60,41,39,48,52,46,62,54,40,96,52,98,40,42. Find the difference between median and mode.

9. If the median of 29,32,48,50,x,x+2,72,78,84,95 is 63. Find x.10. It is known that a box of 550 bulbs contains 22 defective bulbs. One bulb is taken out. Find the

probability of getting a a. Defective bulbb. Good bulb

11. The diameter of moon is approximately ⅟4 of earth. What fraction of volume of earth is the volume of moon?

12. On a busy road, the following data was observed about cars passing through and number of occupants.

Suppose another car passes by, find the probability that it has a) Exactly 5 occupants.b) More than 3 occupants.c) Less than 5 occupants.

Section-D

Each question carries 4 marks .

13. A solid cube of side 12 cm is cut into eight cubes of equal volumes. What will be the side of new cube? Also, find the ration between them.

14. What length of tarpaulin 3m wide will be required to make a conical tent of height 8 m and base radius 6 m, assume that the extra length of material required for stitching purpose will be 20 cm? (π=3.14)

15. The following data shows the blood group of 40 students of a class.

Blood group A AB B ONo of students 10 15 12 3A student is selected at random. Find the probability that it has

a) Blood group Ab) Blood group Oc) Has not blood group AB.

16. Find the value of p if the mean of the following data is 75.

x 3 5 7 9 11 13f 6 8 15 P 8 4

17. a) The mean of 40 observations was 160. It was found later that the value 165 was wrongly copied as 125. Find the correct mean. b) Find the mean of first 8 even numbers.

18. A right circular cylinder just encloses a sphere of radius r. find-a. The surface area of the sphere.b. Find the surface area of the cylinder.

No of occupants 1 2 3 4 5No of cars 29 26 23 17 5