Section A
Q.1 Write 3x+4y =5 in the form of ax+by+c = 0 and the value of a, b, c ?
Q.2 Show that (4,0) is solution of x-2y =4.
Q.3 Find the surface area of sphere of radius r = 5.6cm ?
Q.4 The data is given below
23,56,34,23,45,45,15,15,47,37,23,56,45,56,23,43.23.45,46,74,23,89.find the mode of following data?
Section B
Q.5 Curved surface area of a cone is 308 and its slant height is 14cm .find the radius of base?
Q.6 The floor of a rectangular hall has perimeter 250 m. If the cost of painting the four walls at the rate of rs 10 per is rs 15000 . find the length of walls?
Q .7 Write four solution for 2x +y =7?
Q.8 Give the geometric representation of 2x+9= 0 as an equation in one variable?
Q 9 The blood group of 30 students of class ix are recorded as follows .... A,B,O,O,AB,O,A,O,B,A,O,B,A,O,O,A,AB,O,A,A,O,O,AB,B,A represent the data in the form of frequency distribution table?
Q.10. The distances of 40 engineer 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, 11,32,17,16,2,7,9,7,8,3,5,12,15,18,3,12,14,2,9,6,15,15,7,6,1
Section c
Q.11 Find the mean salary of 60 workers of a factory from the following table?
|
salary
|
Number of workerss
|
|
3000
|
16
|
|
4000
|
12
|
|
5000
|
10
|
|
6000
|
8
|
|
7000
|
6
|
|
8000
|
4
|
|
9000
|
3
|
|
10,000
|
1
|
|
total
|
60
|
Q12. A solid cube of side 12 cm is cut into eight cubes of equal volume what will be the side of new cube ?also find the ratio between their surface areas?
Q.13. A lead pencil consist of a cylindercal of wood with a solid of graphite filled in the interior. The diameter of the pencil is 7mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14cm, find the volume of wood and that of graphite?
Q.14. father's age is 5 years more than 6 times the age of son. Express this statement as a linear equation in two variables and plot the equation on a graph paper?
Section D
Q.15 solid sphere each of radius r and surface area S are melted to form a sphere with surface area . Find the.
1) radius of the new sphere.
2) ratio of S and
Q.16. A village having population of 4000 , requires 150 litres of water per head per day.it has a tank measuring 20m x 15 m x 6m. For how many days will the water of this tank last?
Q.17 write a linear equation in two variable to represent the statement " four times the cost of a table is equal to seven times the cost of a chair". From the graph of above linear equation. Find the cost of one chair if the cost of one table is Rs 1050?
Q. 18 Yamini and Fatima , two students of class Ix of a school , together contributed Rs 100 towards the prime minister's Relief Fund to help the earthquake victims. Write a linear equation which satisfies the data?
Q.19. Given below are the seats won by different political parties in the polling outcomes of a state assembly elections:
|
Political party
|
A
|
B
|
C
|
D
|
E
|
F
|
|
Seats won
|
75
|
55
|
37
|
29
|
10
|
37
|
- Draw a bar graph to represent the polling results.?
- Which political party won the maximum number of seats?
Q. 20. The following table gives the distribution of students of two section according to the marks obtained by them?
|
Section a
|
Section b
|
|
Marks
|
frequency
|
marks
|
frequency
|
|
0 - 10
10 -20
20-30
30 - 40
40 - 50
|
3
9
17
12
9
|
0 -10
10 -20
20 -30
30 - 40
40 -50
|
5
19
15
10
1
|