Sample Solution Paper 2 - Term- 2 Math, Class 8 Class 8 Notes | EduRev

Mathematics (Maths) Class 8

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Class 8 : Sample Solution Paper 2 - Term- 2 Math, Class 8 Class 8 Notes | EduRev

 Page 1


  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
CBSE Board 
Class VIII Mathematics 
Term II 
Sample Paper 2 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: D 
(t
2
 + 3) (t + 3 ) (t - 3 ) = (t
2
 + 3) [t
2
 - ( 3 )
2
] 
= (t
2
 + 3) (t
2
 - 3) 
= (t
2
)
2
 - (3)
2
 
= t
4
 – 9 
[(x - y) (x + y) = x
2
 - y
2
] 
 
2. Correct answer: C 
The given shape has 6 vertices. 
 
3. Correct answer: C 
 
 
4. Correct answer: D 
Let one number be x and the other number be (80 – x). 
From the given information, we have 
x3
80 x 5
5x 240 3x
5x 3x 240
8x 240
240
x 30
8
?
?
? ? ?
? ? ?
??
? ? ?
  
Thus, the two numbers are 30 and (80 – 30) = 50. 
Hence, the greatest number amongst the two is 50. 
 
 
Page 2


  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
CBSE Board 
Class VIII Mathematics 
Term II 
Sample Paper 2 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: D 
(t
2
 + 3) (t + 3 ) (t - 3 ) = (t
2
 + 3) [t
2
 - ( 3 )
2
] 
= (t
2
 + 3) (t
2
 - 3) 
= (t
2
)
2
 - (3)
2
 
= t
4
 – 9 
[(x - y) (x + y) = x
2
 - y
2
] 
 
2. Correct answer: C 
The given shape has 6 vertices. 
 
3. Correct answer: C 
 
 
4. Correct answer: D 
Let one number be x and the other number be (80 – x). 
From the given information, we have 
x3
80 x 5
5x 240 3x
5x 3x 240
8x 240
240
x 30
8
?
?
? ? ?
? ? ?
??
? ? ?
  
Thus, the two numbers are 30 and (80 – 30) = 50. 
Hence, the greatest number amongst the two is 50. 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
5. Correct answer: A 
  
 
6. Correct answer: D 
Here, 6 × a = 3 × 4  
Therefore, a = 2. 
 
7. Correct answer: B 
A straight line 
 
 
8. Correct answer : D 
A rational number is a number of the form 
p
q
  where q ? 0. So in case of reciprocal 
of 0, denominator will be 0. 
 
9. Correct answer: C 
Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, 
its vertices are formed by same number of faces.  
 
Page 3


  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
CBSE Board 
Class VIII Mathematics 
Term II 
Sample Paper 2 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: D 
(t
2
 + 3) (t + 3 ) (t - 3 ) = (t
2
 + 3) [t
2
 - ( 3 )
2
] 
= (t
2
 + 3) (t
2
 - 3) 
= (t
2
)
2
 - (3)
2
 
= t
4
 – 9 
[(x - y) (x + y) = x
2
 - y
2
] 
 
2. Correct answer: C 
The given shape has 6 vertices. 
 
3. Correct answer: C 
 
 
4. Correct answer: D 
Let one number be x and the other number be (80 – x). 
From the given information, we have 
x3
80 x 5
5x 240 3x
5x 3x 240
8x 240
240
x 30
8
?
?
? ? ?
? ? ?
??
? ? ?
  
Thus, the two numbers are 30 and (80 – 30) = 50. 
Hence, the greatest number amongst the two is 50. 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
5. Correct answer: A 
  
 
6. Correct answer: D 
Here, 6 × a = 3 × 4  
Therefore, a = 2. 
 
7. Correct answer: B 
A straight line 
 
 
8. Correct answer : D 
A rational number is a number of the form 
p
q
  where q ? 0. So in case of reciprocal 
of 0, denominator will be 0. 
 
9. Correct answer: C 
Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, 
its vertices are formed by same number of faces.  
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
10. Correct answer: A 
1
3
 = 1 
Thus, the natural number 1 is equal to its cube. 
 
11. Correct answer: D 
Sales tax = 
4
380 15.20
100
?? 
 
12. Correct answer: C 
 
On cross-multiplying, we get 
4x + 28 = 3x - 3 
4x - 3x = -3 - 28 
x = -31 
x + 31 = 0 
 
 
Section B 
 
13.    
 
 
14. 82
2
 = (80 + 2)
2
 
In the property (a + b)
2
 = a
2 
+ b
2
 + 2ab, putting a = 80 and b = 2, we get 
(80 + 2)
2
 = 80
2
 + 2
2 
+ 2 × 80 × 2 
                                = 6400 + 4 + 320  
                                = 6724 
 
15.  
(i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 
  
(ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 
 = 3000 + 100 + 50 + 9 
 = 3159  
 
 
 
Page 4


  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
CBSE Board 
Class VIII Mathematics 
Term II 
Sample Paper 2 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: D 
(t
2
 + 3) (t + 3 ) (t - 3 ) = (t
2
 + 3) [t
2
 - ( 3 )
2
] 
= (t
2
 + 3) (t
2
 - 3) 
= (t
2
)
2
 - (3)
2
 
= t
4
 – 9 
[(x - y) (x + y) = x
2
 - y
2
] 
 
2. Correct answer: C 
The given shape has 6 vertices. 
 
3. Correct answer: C 
 
 
4. Correct answer: D 
Let one number be x and the other number be (80 – x). 
From the given information, we have 
x3
80 x 5
5x 240 3x
5x 3x 240
8x 240
240
x 30
8
?
?
? ? ?
? ? ?
??
? ? ?
  
Thus, the two numbers are 30 and (80 – 30) = 50. 
Hence, the greatest number amongst the two is 50. 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
5. Correct answer: A 
  
 
6. Correct answer: D 
Here, 6 × a = 3 × 4  
Therefore, a = 2. 
 
7. Correct answer: B 
A straight line 
 
 
8. Correct answer : D 
A rational number is a number of the form 
p
q
  where q ? 0. So in case of reciprocal 
of 0, denominator will be 0. 
 
9. Correct answer: C 
Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, 
its vertices are formed by same number of faces.  
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
10. Correct answer: A 
1
3
 = 1 
Thus, the natural number 1 is equal to its cube. 
 
11. Correct answer: D 
Sales tax = 
4
380 15.20
100
?? 
 
12. Correct answer: C 
 
On cross-multiplying, we get 
4x + 28 = 3x - 3 
4x - 3x = -3 - 28 
x = -31 
x + 31 = 0 
 
 
Section B 
 
13.    
 
 
14. 82
2
 = (80 + 2)
2
 
In the property (a + b)
2
 = a
2 
+ b
2
 + 2ab, putting a = 80 and b = 2, we get 
(80 + 2)
2
 = 80
2
 + 2
2 
+ 2 × 80 × 2 
                                = 6400 + 4 + 320  
                                = 6724 
 
15.  
(i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 
  
(ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 
 = 3000 + 100 + 50 + 9 
 = 3159  
 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
16.  
 
Hence, the area of 4 walls is 125 m
2
. 
 
17.  
 By regrouping of terms, we have 
  
 Taking out common factor from underlined terms, we get 
  
 Again, taking out the underlined common factor, we have 
  
 
18. Let the required number be x. Then, 
26% of x = 65 
26
x 65
100
100
x 65
26
x 250
??
??
? ? ?
??
??
??
 
Hence, the required number is 250. 
 
19. Consider: 
 
At one's place, A + 3 = _1 
So think of a number which when added to 3 gives one's place as 1. 
Such a number is 8 as 8 + 3 = 11 
Taking, A = 8, we obtain the addition as below: 
 
 
 
 
 
 
Page 5


  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
CBSE Board 
Class VIII Mathematics 
Term II 
Sample Paper 2 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: D 
(t
2
 + 3) (t + 3 ) (t - 3 ) = (t
2
 + 3) [t
2
 - ( 3 )
2
] 
= (t
2
 + 3) (t
2
 - 3) 
= (t
2
)
2
 - (3)
2
 
= t
4
 – 9 
[(x - y) (x + y) = x
2
 - y
2
] 
 
2. Correct answer: C 
The given shape has 6 vertices. 
 
3. Correct answer: C 
 
 
4. Correct answer: D 
Let one number be x and the other number be (80 – x). 
From the given information, we have 
x3
80 x 5
5x 240 3x
5x 3x 240
8x 240
240
x 30
8
?
?
? ? ?
? ? ?
??
? ? ?
  
Thus, the two numbers are 30 and (80 – 30) = 50. 
Hence, the greatest number amongst the two is 50. 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
5. Correct answer: A 
  
 
6. Correct answer: D 
Here, 6 × a = 3 × 4  
Therefore, a = 2. 
 
7. Correct answer: B 
A straight line 
 
 
8. Correct answer : D 
A rational number is a number of the form 
p
q
  where q ? 0. So in case of reciprocal 
of 0, denominator will be 0. 
 
9. Correct answer: C 
Cuboid is a polyhedron because its faces are congruent and regular polygons. Also, 
its vertices are formed by same number of faces.  
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
10. Correct answer: A 
1
3
 = 1 
Thus, the natural number 1 is equal to its cube. 
 
11. Correct answer: D 
Sales tax = 
4
380 15.20
100
?? 
 
12. Correct answer: C 
 
On cross-multiplying, we get 
4x + 28 = 3x - 3 
4x - 3x = -3 - 28 
x = -31 
x + 31 = 0 
 
 
Section B 
 
13.    
 
 
14. 82
2
 = (80 + 2)
2
 
In the property (a + b)
2
 = a
2 
+ b
2
 + 2ab, putting a = 80 and b = 2, we get 
(80 + 2)
2
 = 80
2
 + 2
2 
+ 2 × 80 × 2 
                                = 6400 + 4 + 320  
                                = 6724 
 
15.  
(i) 100 × 7 + 10 × 9 + 1 × 8 = 700 + 90 + 8 = 798 
  
(ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9 
 = 3000 + 100 + 50 + 9 
 = 3159  
 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
16.  
 
Hence, the area of 4 walls is 125 m
2
. 
 
17.  
 By regrouping of terms, we have 
  
 Taking out common factor from underlined terms, we get 
  
 Again, taking out the underlined common factor, we have 
  
 
18. Let the required number be x. Then, 
26% of x = 65 
26
x 65
100
100
x 65
26
x 250
??
??
? ? ?
??
??
??
 
Hence, the required number is 250. 
 
19. Consider: 
 
At one's place, A + 3 = _1 
So think of a number which when added to 3 gives one's place as 1. 
Such a number is 8 as 8 + 3 = 11 
Taking, A = 8, we obtain the addition as below: 
 
 
 
 
 
 
  
 
CBSE VIII | Mathematics 
Sample Paper 2 - Solution  
 
     
20.    
(i)  
 
(ii)  
 
 
21. A number is divisible by 4 if the number formed by its last two digits is divisible by 
4. 
(i) Consider 45748 
Number formed by last two digits is 48. 
Since, 48 is divisible by 4. 
Hence, 45748 is also divisible by 4. 
 
(ii) Consider 21404 
Number formed by last two digits is 04. 
Since, 04 is divisible by 4. 
Hence, 21404 is also divisible by 4. 
 
22. Here, F = 10, E = 20 and V = 15 
We have 
F + V - E = 10 + 15 - 20  
= 25 - 20 = 5 
Hence, F + V - E 2 
Thus, such a polyhedron is not possible. 
 
23. Distance = 1,433,500,000,000 m 
                  = 14335 × 100000000 m 
                  = 14335 × 10
8
 m 
                  = 1.4335 × 10
12 
m  
 
 
 
 
 
 
 
 
 
 
 
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