SAMARTH INSTITUTE
PRE EXAM FOR PODAR SCHOOL
Class 08 - Mathematics
Time Allowed: 3 hours Maximum Marks: 70
Section A
1. Fill in the blanks: [1]
(a) The surface area of a cuboid formed by joining two cubes of side 'a' face-to-face, is ________. [1]
TE
[1]
y y
2. Evaluate: (
x x
+ )( + )
2 3 2 3
2 2
a) b)
2 2
x xy y x 2xy y
+ + + +
4 6 9 4 3 9
TU
2 2
c) (x+y)
d)
2 2
x y x xy y
+ + + +
4 6 9 4 3 9
3. By using identity find (a + 1) (a +2) = ? [1]
a) a2 + 5a + 2 b) a2 + 3a + 5
TI
c) a2 + 3a + 2 d) 3a + 2
4. A cube with 5y side will have ________ volume.
S [1]
IN
a) 125y3 b) 27y3
c) 50y3 d) 25y3
5. The radii of two cylindrical vessels are in the ratio of 1 : 3 and their heights are in the ratio of 1 : 2. The ratio of [1]
TH
their volumes is
a) 1 : 6 b) 1 : 3
AR
c) 1 : 18 d) 1 : 36
6. If the volume of a cube is divided by its surface area, the result is 2.5 cm. What is the length of the edge of the [1]
cube?
M
a) 15 cm b) 12 cm
c) 20 cm d) 10 cm
SA
7. Assuming land to be uniformly fertile, the area of land and the yield on it vary [1]
a) directly with each other b) neither directly nor inversely with each
other
c) sometimes directly and sometimes inversely d) inversely with each other
with each other
8. A water tap fills a tank in p hours and the tap of the bottom of the tank empties it in q hours. If p is less than q [1]
and when both the taps are open, the tank is filled in r hours. Then
a) b) r = p + q
1 1 1
= −
r p q
c) r = p - q d) 1
r
=
1
p
+
1
q
1/5
, 9. Some men promised to do a job in 18 days, but 6 of them became absent and remainder men did the job in 20 [1]
days. What is the original number of men?
a) 52 b) 60
c) 56 d) 50
10. A camp having 80 inmates, have food sufficient for 70 days. How many in mater should leave after 10 days so [1]
the remaining food lasts another 80 days?
a) 16 b) 24
c) 25 d) 20
11. The line graph shows the sale of watches in a company. How many watches were sold in those 5 months? [1]
TE
TU
a) 175
S TI
b) 180
IN
c) 160 d) 170
12. Study the graph and answer the questions that follow. [1]
TH
AR
M
Which was the hottest day?
SA
a) Wednesday b) Monday
c) Friday d) Sunday
Section B
13. When a die in thrown, list the outcomes of an event of getting: [2]
(i) (a) a prime number (b) not a prime number.
(ii) (a) a number greater than 5. (b) a number not greater than 5.
14. A dining table is purchased for ₹3200 and sold at a gain of 6%. If a customer pays sales tax at the rate of 5%. [2]
How much does the customer pay in all for the table?
15. Find the product of 4p3, – 3p [2]
16. Obtain the volume of rectangular box with the length, breadth and height respectively: xy, 2x2y, 2xy2 [2]
2/5
PRE EXAM FOR PODAR SCHOOL
Class 08 - Mathematics
Time Allowed: 3 hours Maximum Marks: 70
Section A
1. Fill in the blanks: [1]
(a) The surface area of a cuboid formed by joining two cubes of side 'a' face-to-face, is ________. [1]
TE
[1]
y y
2. Evaluate: (
x x
+ )( + )
2 3 2 3
2 2
a) b)
2 2
x xy y x 2xy y
+ + + +
4 6 9 4 3 9
TU
2 2
c) (x+y)
d)
2 2
x y x xy y
+ + + +
4 6 9 4 3 9
3. By using identity find (a + 1) (a +2) = ? [1]
a) a2 + 5a + 2 b) a2 + 3a + 5
TI
c) a2 + 3a + 2 d) 3a + 2
4. A cube with 5y side will have ________ volume.
S [1]
IN
a) 125y3 b) 27y3
c) 50y3 d) 25y3
5. The radii of two cylindrical vessels are in the ratio of 1 : 3 and their heights are in the ratio of 1 : 2. The ratio of [1]
TH
their volumes is
a) 1 : 6 b) 1 : 3
AR
c) 1 : 18 d) 1 : 36
6. If the volume of a cube is divided by its surface area, the result is 2.5 cm. What is the length of the edge of the [1]
cube?
M
a) 15 cm b) 12 cm
c) 20 cm d) 10 cm
SA
7. Assuming land to be uniformly fertile, the area of land and the yield on it vary [1]
a) directly with each other b) neither directly nor inversely with each
other
c) sometimes directly and sometimes inversely d) inversely with each other
with each other
8. A water tap fills a tank in p hours and the tap of the bottom of the tank empties it in q hours. If p is less than q [1]
and when both the taps are open, the tank is filled in r hours. Then
a) b) r = p + q
1 1 1
= −
r p q
c) r = p - q d) 1
r
=
1
p
+
1
q
1/5
, 9. Some men promised to do a job in 18 days, but 6 of them became absent and remainder men did the job in 20 [1]
days. What is the original number of men?
a) 52 b) 60
c) 56 d) 50
10. A camp having 80 inmates, have food sufficient for 70 days. How many in mater should leave after 10 days so [1]
the remaining food lasts another 80 days?
a) 16 b) 24
c) 25 d) 20
11. The line graph shows the sale of watches in a company. How many watches were sold in those 5 months? [1]
TE
TU
a) 175
S TI
b) 180
IN
c) 160 d) 170
12. Study the graph and answer the questions that follow. [1]
TH
AR
M
Which was the hottest day?
SA
a) Wednesday b) Monday
c) Friday d) Sunday
Section B
13. When a die in thrown, list the outcomes of an event of getting: [2]
(i) (a) a prime number (b) not a prime number.
(ii) (a) a number greater than 5. (b) a number not greater than 5.
14. A dining table is purchased for ₹3200 and sold at a gain of 6%. If a customer pays sales tax at the rate of 5%. [2]
How much does the customer pay in all for the table?
15. Find the product of 4p3, – 3p [2]
16. Obtain the volume of rectangular box with the length, breadth and height respectively: xy, 2x2y, 2xy2 [2]
2/5
