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Page 1
CBSE VIII | Mathematics
Sample Paper 2 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 2 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: B
2. Correct answer: A
Indefinitely on both sides of 0
3. Correct answer: A
An octagon is made up of 8 sides.
4. Correct answer: B
Original Price = Rs. 50
Increased Price = 55 - 50 = 5
Thus,
Increased price
Percentage increase = 100 %
Original price
??
?
??
??
5. Correct answer: C
We know that the sum of first n odd natural numbers is n
2
.
Therefore,
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9
2
6. Correct answer: A
2 3
(4) 1000 = 4 × 4 × 10 = 2 × 2 × 2 × 2 × 2 × 5 = (2 × 2 × 2) × 2 × 2 × 5
So, the given number must be divided by 2 × 2 × 5 = 20 to make it a perfect cube.
Page 2
CBSE VIII | Mathematics
Sample Paper 2 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 2 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: B
2. Correct answer: A
Indefinitely on both sides of 0
3. Correct answer: A
An octagon is made up of 8 sides.
4. Correct answer: B
Original Price = Rs. 50
Increased Price = 55 - 50 = 5
Thus,
Increased price
Percentage increase = 100 %
Original price
??
?
??
??
5. Correct answer: C
We know that the sum of first n odd natural numbers is n
2
.
Therefore,
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9
2
6. Correct answer: A
2 3
(4) 1000 = 4 × 4 × 10 = 2 × 2 × 2 × 2 × 2 × 5 = (2 × 2 × 2) × 2 × 2 × 5
So, the given number must be divided by 2 × 2 × 5 = 20 to make it a perfect cube.
CBSE VIII | Mathematics
Sample Paper 2 - Solution
7. Correct answer: B
Trapezium is not a parallelogram as it has only one pair of parallel sides.
8. Correct answer: A
Number of Red Rome apple = 4 × 10 = 40
9. Correct answer: A
It is known that the adjacent angles of a parallelogram are supplementary.
Therefore, measure of required angle = 180
o
- 50
o
= 130
o
10. Correct answer: B
The probability of an event always lies between 0 and 1.
11. Correct answer: B
Using the given pattern,
2000
2
= 4000000
12. Correct answer: C
The discount 50% + 50% is equal to a single discount of 75%.
The S.P. is 25% of C.P.
So, S.P. =
25
1200 300
100
??
Section B
13.
(i) Let x be the multiplicative inverse of
(ii) Let x be the multiplicative inverse of
Or, x =
5
2
Page 3
CBSE VIII | Mathematics
Sample Paper 2 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 2 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: B
2. Correct answer: A
Indefinitely on both sides of 0
3. Correct answer: A
An octagon is made up of 8 sides.
4. Correct answer: B
Original Price = Rs. 50
Increased Price = 55 - 50 = 5
Thus,
Increased price
Percentage increase = 100 %
Original price
??
?
??
??
5. Correct answer: C
We know that the sum of first n odd natural numbers is n
2
.
Therefore,
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9
2
6. Correct answer: A
2 3
(4) 1000 = 4 × 4 × 10 = 2 × 2 × 2 × 2 × 2 × 5 = (2 × 2 × 2) × 2 × 2 × 5
So, the given number must be divided by 2 × 2 × 5 = 20 to make it a perfect cube.
CBSE VIII | Mathematics
Sample Paper 2 - Solution
7. Correct answer: B
Trapezium is not a parallelogram as it has only one pair of parallel sides.
8. Correct answer: A
Number of Red Rome apple = 4 × 10 = 40
9. Correct answer: A
It is known that the adjacent angles of a parallelogram are supplementary.
Therefore, measure of required angle = 180
o
- 50
o
= 130
o
10. Correct answer: B
The probability of an event always lies between 0 and 1.
11. Correct answer: B
Using the given pattern,
2000
2
= 4000000
12. Correct answer: C
The discount 50% + 50% is equal to a single discount of 75%.
The S.P. is 25% of C.P.
So, S.P. =
25
1200 300
100
??
Section B
13.
(i) Let x be the multiplicative inverse of
(ii) Let x be the multiplicative inverse of
Or, x =
5
2
CBSE VIII | Mathematics
Sample Paper 2 - Solution
14. Let x be the ten's digit of the two-digit number.
Then its unit's digit = x + 7.
Number = unit's digit + 10(ten's digit) = (x + 7) + 10(x) = 11x + 7.
Sum of the digits = (x + 7) + (x) = 2x + 7.
Given, sum of the digits is half of the whole number. Therefore,
4x + 14 = 11x + 7
4x - 11x = 7 - 14
-7x = -7
x = 1
Ten's digit of the two-digit number is x = 1.
Unit's digit of the two-digit number = x + 7 = 1 + 7 = 8
Thus, the required number is 18.
15. y = ? EHP (Alternate interior angles as OP||HE)
y = 40°
70° = ? EHO = z + 40 ? (Corresponding angles as OP||HE)
70° - 40° = z
z = 30°
? HEP = ? EHO (Adjacent pair of angles as HO||EP)
x + (z + 40 ?) = 180°
x + 70 ? = 180°
x = 110°
16. Total number of students = 35
i) Number of boys = 20
20 4
Required probability
35 7
? ? ?
ii) Number of girls = 15
15 3
Required probability
35 7
? ? ?
17. 82
2
= (80 + 2)
2
In the property (a + b)
2
= a
2
+ b
2
+ 2ab
Substituting a = 80 and b = 2, we get
(80 + 2)
2
= 80
2
+ 2
2
+ 2 × 80 × 2
= 6400 + 4 + 320
= 6724
Page 4
CBSE VIII | Mathematics
Sample Paper 2 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 2 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: B
2. Correct answer: A
Indefinitely on both sides of 0
3. Correct answer: A
An octagon is made up of 8 sides.
4. Correct answer: B
Original Price = Rs. 50
Increased Price = 55 - 50 = 5
Thus,
Increased price
Percentage increase = 100 %
Original price
??
?
??
??
5. Correct answer: C
We know that the sum of first n odd natural numbers is n
2
.
Therefore,
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9
2
6. Correct answer: A
2 3
(4) 1000 = 4 × 4 × 10 = 2 × 2 × 2 × 2 × 2 × 5 = (2 × 2 × 2) × 2 × 2 × 5
So, the given number must be divided by 2 × 2 × 5 = 20 to make it a perfect cube.
CBSE VIII | Mathematics
Sample Paper 2 - Solution
7. Correct answer: B
Trapezium is not a parallelogram as it has only one pair of parallel sides.
8. Correct answer: A
Number of Red Rome apple = 4 × 10 = 40
9. Correct answer: A
It is known that the adjacent angles of a parallelogram are supplementary.
Therefore, measure of required angle = 180
o
- 50
o
= 130
o
10. Correct answer: B
The probability of an event always lies between 0 and 1.
11. Correct answer: B
Using the given pattern,
2000
2
= 4000000
12. Correct answer: C
The discount 50% + 50% is equal to a single discount of 75%.
The S.P. is 25% of C.P.
So, S.P. =
25
1200 300
100
??
Section B
13.
(i) Let x be the multiplicative inverse of
(ii) Let x be the multiplicative inverse of
Or, x =
5
2
CBSE VIII | Mathematics
Sample Paper 2 - Solution
14. Let x be the ten's digit of the two-digit number.
Then its unit's digit = x + 7.
Number = unit's digit + 10(ten's digit) = (x + 7) + 10(x) = 11x + 7.
Sum of the digits = (x + 7) + (x) = 2x + 7.
Given, sum of the digits is half of the whole number. Therefore,
4x + 14 = 11x + 7
4x - 11x = 7 - 14
-7x = -7
x = 1
Ten's digit of the two-digit number is x = 1.
Unit's digit of the two-digit number = x + 7 = 1 + 7 = 8
Thus, the required number is 18.
15. y = ? EHP (Alternate interior angles as OP||HE)
y = 40°
70° = ? EHO = z + 40 ? (Corresponding angles as OP||HE)
70° - 40° = z
z = 30°
? HEP = ? EHO (Adjacent pair of angles as HO||EP)
x + (z + 40 ?) = 180°
x + 70 ? = 180°
x = 110°
16. Total number of students = 35
i) Number of boys = 20
20 4
Required probability
35 7
? ? ?
ii) Number of girls = 15
15 3
Required probability
35 7
? ? ?
17. 82
2
= (80 + 2)
2
In the property (a + b)
2
= a
2
+ b
2
+ 2ab
Substituting a = 80 and b = 2, we get
(80 + 2)
2
= 80
2
+ 2
2
+ 2 × 80 × 2
= 6400 + 4 + 320
= 6724
CBSE VIII | Mathematics
Sample Paper 2 - Solution
18. From the graph, it is clear that:
5 students favoured orange and 1 student favoured green colour.
Now, 5 - 1 = 4
Therefore, 4 more students favoured orange colour than green.
19. Cost of TV set = Rs. 36500.
Sales tax = 8% of Rs. 36500
Therefore, Bill amount = Rs. (36500 + 2920) = Rs. 39420
20. First four triangular numbers are: 1, 3, 6 and 10.
Now, 1 + 3 = 4 = 2
2
3 + 6 = 9 = 3
2
6 + 10 = 16 = 4
2
Here, 4, 9 and 16 all are square numbers.
21. 3(2x - 1) = 2(x + 4) + 1
6x - 3 = 2x + 8 + 1
6x – 3 - 2x = 8 + 1 (Transposing 2x to LHS )
6x - 2x = 8 + 1 + 3 (Transposing -3 to RHS)
4x = 12
Dividing both sides by 4,
x =
12
4
= 3
x = 3
22.
Page 5
CBSE VIII | Mathematics
Sample Paper 2 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 2 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: B
2. Correct answer: A
Indefinitely on both sides of 0
3. Correct answer: A
An octagon is made up of 8 sides.
4. Correct answer: B
Original Price = Rs. 50
Increased Price = 55 - 50 = 5
Thus,
Increased price
Percentage increase = 100 %
Original price
??
?
??
??
5. Correct answer: C
We know that the sum of first n odd natural numbers is n
2
.
Therefore,
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9
2
6. Correct answer: A
2 3
(4) 1000 = 4 × 4 × 10 = 2 × 2 × 2 × 2 × 2 × 5 = (2 × 2 × 2) × 2 × 2 × 5
So, the given number must be divided by 2 × 2 × 5 = 20 to make it a perfect cube.
CBSE VIII | Mathematics
Sample Paper 2 - Solution
7. Correct answer: B
Trapezium is not a parallelogram as it has only one pair of parallel sides.
8. Correct answer: A
Number of Red Rome apple = 4 × 10 = 40
9. Correct answer: A
It is known that the adjacent angles of a parallelogram are supplementary.
Therefore, measure of required angle = 180
o
- 50
o
= 130
o
10. Correct answer: B
The probability of an event always lies between 0 and 1.
11. Correct answer: B
Using the given pattern,
2000
2
= 4000000
12. Correct answer: C
The discount 50% + 50% is equal to a single discount of 75%.
The S.P. is 25% of C.P.
So, S.P. =
25
1200 300
100
??
Section B
13.
(i) Let x be the multiplicative inverse of
(ii) Let x be the multiplicative inverse of
Or, x =
5
2
CBSE VIII | Mathematics
Sample Paper 2 - Solution
14. Let x be the ten's digit of the two-digit number.
Then its unit's digit = x + 7.
Number = unit's digit + 10(ten's digit) = (x + 7) + 10(x) = 11x + 7.
Sum of the digits = (x + 7) + (x) = 2x + 7.
Given, sum of the digits is half of the whole number. Therefore,
4x + 14 = 11x + 7
4x - 11x = 7 - 14
-7x = -7
x = 1
Ten's digit of the two-digit number is x = 1.
Unit's digit of the two-digit number = x + 7 = 1 + 7 = 8
Thus, the required number is 18.
15. y = ? EHP (Alternate interior angles as OP||HE)
y = 40°
70° = ? EHO = z + 40 ? (Corresponding angles as OP||HE)
70° - 40° = z
z = 30°
? HEP = ? EHO (Adjacent pair of angles as HO||EP)
x + (z + 40 ?) = 180°
x + 70 ? = 180°
x = 110°
16. Total number of students = 35
i) Number of boys = 20
20 4
Required probability
35 7
? ? ?
ii) Number of girls = 15
15 3
Required probability
35 7
? ? ?
17. 82
2
= (80 + 2)
2
In the property (a + b)
2
= a
2
+ b
2
+ 2ab
Substituting a = 80 and b = 2, we get
(80 + 2)
2
= 80
2
+ 2
2
+ 2 × 80 × 2
= 6400 + 4 + 320
= 6724
CBSE VIII | Mathematics
Sample Paper 2 - Solution
18. From the graph, it is clear that:
5 students favoured orange and 1 student favoured green colour.
Now, 5 - 1 = 4
Therefore, 4 more students favoured orange colour than green.
19. Cost of TV set = Rs. 36500.
Sales tax = 8% of Rs. 36500
Therefore, Bill amount = Rs. (36500 + 2920) = Rs. 39420
20. First four triangular numbers are: 1, 3, 6 and 10.
Now, 1 + 3 = 4 = 2
2
3 + 6 = 9 = 3
2
6 + 10 = 16 = 4
2
Here, 4, 9 and 16 all are square numbers.
21. 3(2x - 1) = 2(x + 4) + 1
6x - 3 = 2x + 8 + 1
6x – 3 - 2x = 8 + 1 (Transposing 2x to LHS )
6x - 2x = 8 + 1 + 3 (Transposing -3 to RHS)
4x = 12
Dividing both sides by 4,
x =
12
4
= 3
x = 3
22.
CBSE VIII | Mathematics
Sample Paper 2 - Solution
23. Original number = 4000
Increased % = 35%
Thus, Number of students now = Original number + 35% of 4000
24. Here, n(S) = 10 + 25 = 35
Let E be the event of getting a prize.
n(E) = 10
? ? ? ?
n(E) 10 2
P(E)
n(S) 35 7
Probability of getting a prize =
2
7
Section C
25.
a) If we choose a scale of 1:50 for the frequency then the vertical bar chart will be
as shown.
b) Percentage increase in the visitors in March as compared to January is
c) Percentage of visitors who came in February as compared to the total number of
visitors is
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FAQs on Class 8 Math: CBSE Sample Question Paper Solutions Term I – 2 - Mathematics (Maths) Class 8
| 1. What are the topics covered in the CBSE Class 8 Math exam? |  |
Ans. The CBSE Class 8 Math exam covers topics such as rational numbers, exponents and powers, algebraic expressions, linear equations in one variable, understanding quadrilaterals, practical geometry, data handling, squares and square roots, cubes and cube roots, comparing quantities, algebraic identities, and visualizing solid shapes.
| 2. How can I prepare for the CBSE Class 8 Math exam? | |
Ans. To prepare for the CBSE Class 8 Math exam, it is important to understand the concepts thoroughly. Practice solving different types of problems from the textbook and previous year question papers. Make use of study materials provided by the school or online resources. Create a study schedule and allocate time for each topic. Regularly revise the concepts and practice solving sample papers to improve speed and accuracy.
| 3. Where can I find CBSE Class 8 Math sample question papers? | |
Ans. CBSE Class 8 Math sample question papers can be found on various educational websites, online learning platforms, and even on the official CBSE website. These sample question papers are designed to help students understand the exam pattern, marking scheme, and types of questions asked in the exam. They are a valuable resource for practicing and assessing one's preparation.
| 4. Are there any tips for solving math problems quickly? | |
Ans. Yes, here are a few tips for solving math problems quickly:
- Understand the problem statement clearly before attempting to solve it.
- Break down complex problems into smaller, manageable steps.
- Practice mental math techniques to perform calculations mentally.
- Memorize important formulas and properties to save time during calculations.
- Use shortcuts and tricks to solve repetitive or common types of problems.
- Practice regularly to improve speed and accuracy.
| 5. How can I improve my problem-solving skills in math? | |
Ans. Improving problem-solving skills in math requires regular practice and a systematic approach. Here are some strategies to enhance problem-solving abilities:
- Understand the problem by reading it carefully and identifying the given information.
- Break down complex problems into smaller, manageable steps.
- Identify the appropriate mathematical concept or formula to apply.
- Solve the problem step by step, ensuring accuracy in calculations.
- Practice solving a variety of problems from different topics and difficulty levels.
- Analyze and learn from mistakes to avoid them in future problem-solving scenarios.
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Dec 24, 2024 Last updated |
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