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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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FAQs on Class 8 Math: CBSE Sample Question Paper Solutions Term II – 2 - Mathematics (Maths) Class 8
| 1. What is the format of the CBSE Class 8 Math Sample Question Paper for Term II? |  |
Ans. The CBSE Class 8 Math Sample Question Paper for Term II usually follows the same format as the actual exam. It consists of multiple-choice questions, short answer questions, and long answer questions. The paper is divided into different sections based on the topics covered in the syllabus.
| 2. How can I access the CBSE Class 8 Math Sample Question Paper for Term II? | |
Ans. The CBSE Class 8 Math Sample Question Paper for Term II can be accessed through various sources. It is available on the official website of the Central Board of Secondary Education (CBSE). Additionally, many educational websites and online platforms provide these sample papers for practice.
| 3. Are the CBSE Class 8 Math Sample Question Papers for Term II helpful for exam preparation? | |
Ans. Yes, the CBSE Class 8 Math Sample Question Papers for Term II are extremely helpful for exam preparation. These papers give students an idea about the question paper pattern, marking scheme, and the type of questions asked in the exam. By practicing these sample papers, students can assess their understanding of the subject and identify areas that need improvement.
| 4. How can I use the CBSE Class 8 Math Sample Question Papers effectively for exam preparation? | |
Ans. To use the CBSE Class 8 Math Sample Question Papers effectively for exam preparation, students should first familiarize themselves with the syllabus and exam pattern. They should then solve the sample papers under timed conditions to simulate the actual exam environment. After solving the papers, students should evaluate their answers and identify their strengths and weaknesses. They can then focus on improving their weak areas and revising the concepts accordingly.
| 5. Can the CBSE Class 8 Math Sample Question Papers for Term II help in scoring better marks in the actual exam? | |
Ans. Yes, the CBSE Class 8 Math Sample Question Papers for Term II can definitely help in scoring better marks in the actual exam. By practicing these papers, students become familiar with the question paper pattern and gain confidence in solving different types of questions. It also helps them in time management during the exam. Regular practice of sample papers enhances their problem-solving skills and overall understanding of the subject, leading to better performance in the actual exam.
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Dec 24, 2024 Last updated |
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