CBSE Board Class 9 Math Previous Year Question Papers 2005

Math Previous paper
Class – IX

General instructions:
i. All the questions are compulsory.
ii. Attempt the questions in a sequence.
iii. Questions in sec-A carry 1mark each, Sec-B carry 2 marks, Sec-C carry 3 marks
and Sec-D carry 4 marks each.
iv. Don’t use calculator.
SECTION – A

1. Select the correct option.
i. The diameter of base and the height of a conical house are 14 m and 18 m
respectively and the capacity of a rice bag is 33 m3. The number of such rice
bags required to fill the conical house is ____.
A. 14 B. 24 C. 28 D. 25
ii. The radius and slant height of a cone are in the ratio 21 : 24. If the curved
surface area of the cone is 1188 cm
2
, then its radius is ____.
A. 38.14 cm B. 21 cm C. 18.18 cm
D. 10.5 cm
iii. If the median of the data , , , , is 5, then the value of x is _______.
A. 12. B. 15 C. 17 D. 18
iv. The median of the observations 11, 12, 14, 18, + 3, + 9, 30, 32, 35, 41
arranged in ascending order is 24. The value of is _________.
A. 22 B. 18 C. 23 D. 20
v. A coin is tossed 200 times with the following frequencies.
Heads: 114
Tails: 86
The probability of getting tails is _________.
A. 0.42 B. 0.43 C. 0.44 D. 0.45
vi. Three coins are tossed simultaneously 150 times with the following frequencies
of different outcomes.
Outcome Frequency
3 40
2 20
1 80
No head 10
The probability of 1 head coming up is ____.
A. B. C. D.

SECTION- B

2.. A cuboid having dimension 9 cm x 6 cm x 4 cm is melted and is made into a cube, then
find the edge of the cube so formed.

3. The height and radius of the base of a cone are in the ratio 21 : 5. If the volume of the
cone is 4400 cm 3, then the find the base of the cone.

4. The radius of the hemisphere is decreased to rd of its original radius. Find the ratio
between old and new curved surface areas.5. The distance (in km) of 40 engineers from their residence to their place of work were
found as follows:
5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3
12 14 2 9 6 15 15 7 6 12

5.Construct a grouped frequency distribution table with class size 5 for the data given
above taking the first interval as 0-5 (5 not included). What main features do you
observe from this tabular representation?

6. The record of a weather station shows that out of the past 250 consecutive days, its
weather forecasts were correct 175 times.
(i) What is the probability that on a given day it was correct?

(ii) What is the probability that it was not correct on a given day?

SECTION – C

7. Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m
long. He gets the outer surface of the tank excluding the base, covered with square tiles
of side 25 cm. Find how much he would spend for the tiles, if the cost of the tiles is
Rs 360 per dozen.

8. Find (i) the lateral or curved surface area of a closed cylindrical petrol storage tank that is
4.2 m in diameter and 4.5 m high.
(ii) How much steel was actually used, if 1/12 of the steel actually used was wasted in
making the tank.

9. The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area
and the total surface area of the cone (Use = 3.14).

10. A right circular cylinder just encloses a sphere of radius r (see Fig. 13.22). Find
(i) surface area of the sphere,
(ii) curved surface area of the cylinder,
(iii) ratio of the areas obtained in (i) and (ii).

SECTION – D

11. A wall of length 10 m was to be built across an open ground. The height of the wall is
4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose
dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?9

12. Monica has a piece of canvas whose area is 551 m2. She uses it to have a conical tent
made, with a base radius of 7 m. Assuming that all the stitching margins and the
wastage incurred while cutting, amounts to approximately 1 m2, find the volume of the
tent that can be made with it.

13. An insurance company selected 2000 drivers at random (i.e., without
any preference of one driver over another) in a particular city to find a relationship
between age and accidents. The data obtained are given in the following table:
Age of drivers
(in  years)
Number of accidents
0 1 2 3 Over 3
18-29 440 160 110 61 35
30-50 505 125 60 22 18
Above 50 360 45 35 15 9
Find the probabilities of the following events for a driver chosen at random from the city:
(i) being 18-29 years of age and having exactly 3 accidents in one year.
(ii) being 30-50 years of age and having one or more accidents in a year.
(iii) having no accidents in one year.