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Page 1
CBSE VIII | Mathematics
Sample Paper 1 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 1 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: C
2.5 is greater than 2.4 and less than 2.6 and 2.7.
Hence, on a number line, 2.5 will lie between 2.4 and 2.7.
2. Correct answer: B
3. Correct answer: A 5
4. Correct answer: C
= 5 + 5 + 3 = 13
5. Correct answer: A
1 is a square as well as a triangular number.
6. Correct answer: B
Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70
7. Correct answer: C
8. Correct answer: C
On cross multiplying, we get 4x + 28 = 3x - 3
4x - 3x = - 3 - 28
x = -31
x + 31 = 0
Page 2
CBSE VIII | Mathematics
Sample Paper 1 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 1 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: C
2.5 is greater than 2.4 and less than 2.6 and 2.7.
Hence, on a number line, 2.5 will lie between 2.4 and 2.7.
2. Correct answer: B
3. Correct answer: A 5
4. Correct answer: C
= 5 + 5 + 3 = 13
5. Correct answer: A
1 is a square as well as a triangular number.
6. Correct answer: B
Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70
7. Correct answer: C
8. Correct answer: C
On cross multiplying, we get 4x + 28 = 3x - 3
4x - 3x = - 3 - 28
x = -31
x + 31 = 0
CBSE VIII | Mathematics
Sample Paper 1 - Solution
9. Correct answer: A
In a rhombus, if one angle is 70
o
, then its opposite angle will be 70
o
.
(Since, opposite angles of a rhombus are equal)
10. Correct answer: A
o o o
Value of component 1
360 360 90
Total va
Central
lue 4
angle ? ? ? ? ?
11. Correct answer: C
Square root = 2 × 3 × 3 × 5 = 90
12. Correct answer: D
Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100
Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100
100 1
Profit percent= 100 9 %
1100 11
??
Section B
13.
(by commutativity)
(by distributivity)
14. Let x be the greater part.
Then, 64 - x is the smaller part.
Then 3x = 5(64 - x)
3x = 320 - 5x
3x + 5x = 320
8x = 320
x = 40
So, the two parts are 40 and 24.
Page 3
CBSE VIII | Mathematics
Sample Paper 1 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 1 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: C
2.5 is greater than 2.4 and less than 2.6 and 2.7.
Hence, on a number line, 2.5 will lie between 2.4 and 2.7.
2. Correct answer: B
3. Correct answer: A 5
4. Correct answer: C
= 5 + 5 + 3 = 13
5. Correct answer: A
1 is a square as well as a triangular number.
6. Correct answer: B
Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70
7. Correct answer: C
8. Correct answer: C
On cross multiplying, we get 4x + 28 = 3x - 3
4x - 3x = - 3 - 28
x = -31
x + 31 = 0
CBSE VIII | Mathematics
Sample Paper 1 - Solution
9. Correct answer: A
In a rhombus, if one angle is 70
o
, then its opposite angle will be 70
o
.
(Since, opposite angles of a rhombus are equal)
10. Correct answer: A
o o o
Value of component 1
360 360 90
Total va
Central
lue 4
angle ? ? ? ? ?
11. Correct answer: C
Square root = 2 × 3 × 3 × 5 = 90
12. Correct answer: D
Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100
Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100
100 1
Profit percent= 100 9 %
1100 11
??
Section B
13.
(by commutativity)
(by distributivity)
14. Let x be the greater part.
Then, 64 - x is the smaller part.
Then 3x = 5(64 - x)
3x = 320 - 5x
3x + 5x = 320
8x = 320
x = 40
So, the two parts are 40 and 24.
CBSE VIII | Mathematics
Sample Paper 1 - Solution
15. Opposite sides are equal in a parallelogram
Therefore, 3y + 1 = 19
Or, 3y = 19 - 1
Or, 3y = 18
Or, y = 6
Also, 4x+3 = 23
Or, 4x = 23-3
Or, 4x = 20
Or, x = 5
Hence x = 5 and y = 6.
16. Let the number of chairs in each row be x.
Then, the number of rows = x.
Total number of chairs in the auditorium
? ?
2
x x x ? ? ?
But the number of chairs that the auditorium can accommodate = 1764 (given)
? ?
??
? ? ? ? ? ?
? ? ? ?
?
2
x 1764
2 2 3 3 7 7
x 2 3 7
42
Hence, the number of chairs in each row is 42.
17. Here,
Total number of outcomes = 10 + 25 = 35
Let E be the event of getting a prize.
Number of outcomes favourable to event E = 10
? ?
Number of favourable outcomes 10 2
Total number of outcome
P E
s7
35
? ? ?
2
Probability of getting a prize
7
?
Page 4
CBSE VIII | Mathematics
Sample Paper 1 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 1 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: C
2.5 is greater than 2.4 and less than 2.6 and 2.7.
Hence, on a number line, 2.5 will lie between 2.4 and 2.7.
2. Correct answer: B
3. Correct answer: A 5
4. Correct answer: C
= 5 + 5 + 3 = 13
5. Correct answer: A
1 is a square as well as a triangular number.
6. Correct answer: B
Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70
7. Correct answer: C
8. Correct answer: C
On cross multiplying, we get 4x + 28 = 3x - 3
4x - 3x = - 3 - 28
x = -31
x + 31 = 0
CBSE VIII | Mathematics
Sample Paper 1 - Solution
9. Correct answer: A
In a rhombus, if one angle is 70
o
, then its opposite angle will be 70
o
.
(Since, opposite angles of a rhombus are equal)
10. Correct answer: A
o o o
Value of component 1
360 360 90
Total va
Central
lue 4
angle ? ? ? ? ?
11. Correct answer: C
Square root = 2 × 3 × 3 × 5 = 90
12. Correct answer: D
Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100
Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100
100 1
Profit percent= 100 9 %
1100 11
??
Section B
13.
(by commutativity)
(by distributivity)
14. Let x be the greater part.
Then, 64 - x is the smaller part.
Then 3x = 5(64 - x)
3x = 320 - 5x
3x + 5x = 320
8x = 320
x = 40
So, the two parts are 40 and 24.
CBSE VIII | Mathematics
Sample Paper 1 - Solution
15. Opposite sides are equal in a parallelogram
Therefore, 3y + 1 = 19
Or, 3y = 19 - 1
Or, 3y = 18
Or, y = 6
Also, 4x+3 = 23
Or, 4x = 23-3
Or, 4x = 20
Or, x = 5
Hence x = 5 and y = 6.
16. Let the number of chairs in each row be x.
Then, the number of rows = x.
Total number of chairs in the auditorium
? ?
2
x x x ? ? ?
But the number of chairs that the auditorium can accommodate = 1764 (given)
? ?
??
? ? ? ? ? ?
? ? ? ?
?
2
x 1764
2 2 3 3 7 7
x 2 3 7
42
Hence, the number of chairs in each row is 42.
17. Here,
Total number of outcomes = 10 + 25 = 35
Let E be the event of getting a prize.
Number of outcomes favourable to event E = 10
? ?
Number of favourable outcomes 10 2
Total number of outcome
P E
s7
35
? ? ?
2
Probability of getting a prize
7
?
CBSE VIII | Mathematics
Sample Paper 1 - Solution
18. Since ABCD is an isosceles trapezoidal, we have AD = BC
Therefore, AD = BC = 4 cm.
Now the perimeter of given trapezium
= AB + BC + CD + DA
= 12 + 4 + 8 + 4
= 28
Hence, the perimeter of the given trapezium is 28 cm.
19. Total number of votes = (1136 + 7636 + 11628) = 20400.
11628
Therefore, required percentage 100 % 57%
20400
??
? ? ?
??
??
20. Since, the measure of each angle of rectangle is 90
o
.
Therefore, ?ADC = y = 90
o
Also, ?BAD = 90
o
This gives, x + 45
o
= 90
o
x = 90
o
- 45
o
= 45
o
Hence, x = 45
o
and y = 90
o
.
21. It can be observed that the squares of the given numbers can be found by first
writing the counting number up to the number of 1's and then writing the reverse
counting till 1.
Thus, 1111
2
= 1234321
11111
2
= 123454321
22. By cross multiplication, we get,
3(3x-1) = 4(2x+5)
9x-3 = 8x +20
9x-8x-3 = 20 (transposing 8x to LHS)
9x-8x = 20+3 (transposing -3 to RHS)
x = 23
23.
Page 5
CBSE VIII | Mathematics
Sample Paper 1 - Solution
CBSE Board
Class VIII Mathematics
Term I
Sample Paper 1 - Solution
Time: 2 ½ hours Total Marks: 80
Section A
1. Correct answer: C
2.5 is greater than 2.4 and less than 2.6 and 2.7.
Hence, on a number line, 2.5 will lie between 2.4 and 2.7.
2. Correct answer: B
3. Correct answer: A 5
4. Correct answer: C
= 5 + 5 + 3 = 13
5. Correct answer: A
1 is a square as well as a triangular number.
6. Correct answer: B
Cube root of (-8) x (-343) x (125) = (-2) x (-7) x 5 = 70
7. Correct answer: C
8. Correct answer: C
On cross multiplying, we get 4x + 28 = 3x - 3
4x - 3x = - 3 - 28
x = -31
x + 31 = 0
CBSE VIII | Mathematics
Sample Paper 1 - Solution
9. Correct answer: A
In a rhombus, if one angle is 70
o
, then its opposite angle will be 70
o
.
(Since, opposite angles of a rhombus are equal)
10. Correct answer: A
o o o
Value of component 1
360 360 90
Total va
Central
lue 4
angle ? ? ? ? ?
11. Correct answer: C
Square root = 2 × 3 × 3 × 5 = 90
12. Correct answer: D
Actual C.P. = C.P. + Overhead expenses = Rs. (900 + 200) = Rs. 1100
Profit = S.P. – C.P. = Rs. 1200 – Rs. 1100 = Rs. 100
100 1
Profit percent= 100 9 %
1100 11
??
Section B
13.
(by commutativity)
(by distributivity)
14. Let x be the greater part.
Then, 64 - x is the smaller part.
Then 3x = 5(64 - x)
3x = 320 - 5x
3x + 5x = 320
8x = 320
x = 40
So, the two parts are 40 and 24.
CBSE VIII | Mathematics
Sample Paper 1 - Solution
15. Opposite sides are equal in a parallelogram
Therefore, 3y + 1 = 19
Or, 3y = 19 - 1
Or, 3y = 18
Or, y = 6
Also, 4x+3 = 23
Or, 4x = 23-3
Or, 4x = 20
Or, x = 5
Hence x = 5 and y = 6.
16. Let the number of chairs in each row be x.
Then, the number of rows = x.
Total number of chairs in the auditorium
? ?
2
x x x ? ? ?
But the number of chairs that the auditorium can accommodate = 1764 (given)
? ?
??
? ? ? ? ? ?
? ? ? ?
?
2
x 1764
2 2 3 3 7 7
x 2 3 7
42
Hence, the number of chairs in each row is 42.
17. Here,
Total number of outcomes = 10 + 25 = 35
Let E be the event of getting a prize.
Number of outcomes favourable to event E = 10
? ?
Number of favourable outcomes 10 2
Total number of outcome
P E
s7
35
? ? ?
2
Probability of getting a prize
7
?
CBSE VIII | Mathematics
Sample Paper 1 - Solution
18. Since ABCD is an isosceles trapezoidal, we have AD = BC
Therefore, AD = BC = 4 cm.
Now the perimeter of given trapezium
= AB + BC + CD + DA
= 12 + 4 + 8 + 4
= 28
Hence, the perimeter of the given trapezium is 28 cm.
19. Total number of votes = (1136 + 7636 + 11628) = 20400.
11628
Therefore, required percentage 100 % 57%
20400
??
? ? ?
??
??
20. Since, the measure of each angle of rectangle is 90
o
.
Therefore, ?ADC = y = 90
o
Also, ?BAD = 90
o
This gives, x + 45
o
= 90
o
x = 90
o
- 45
o
= 45
o
Hence, x = 45
o
and y = 90
o
.
21. It can be observed that the squares of the given numbers can be found by first
writing the counting number up to the number of 1's and then writing the reverse
counting till 1.
Thus, 1111
2
= 1234321
11111
2
= 123454321
22. By cross multiplication, we get,
3(3x-1) = 4(2x+5)
9x-3 = 8x +20
9x-8x-3 = 20 (transposing 8x to LHS)
9x-8x = 20+3 (transposing -3 to RHS)
x = 23
23.
CBSE VIII | Mathematics
Sample Paper 1 - Solution
24.
Section C
25. Represent the months on the x-axis and the number of visitors on the y-axis.
The double bar graph is as follows:
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FAQs on Class 8 Math: CBSE Sample Question Paper Solutions Term I – 1 - Mathematics (Maths) Class 8
| 1. What is the format of the Class 8 Math CBSE Sample Question Paper Term I? |  |
The format of the Class 8 Math CBSE Sample Question Paper Term I usually consists of multiple-choice questions, short answer questions, and long answer questions. The paper is divided into different sections, each focusing on different topics or chapters.
| 2. How can I prepare for the Class 8 Math CBSE Sample Question Paper Term I effectively? | |
To prepare effectively for the Class 8 Math CBSE Sample Question Paper Term I, you can follow these strategies:
- Understand the syllabus and exam pattern thoroughly.
- Review and revise all the concepts, formulas, and theorems taught in class.
- Practice solving various types of questions from textbooks and reference books.
- Solve previous years' question papers and sample papers to get familiar with the exam pattern and time management.
- Seek help from teachers or classmates if you have any doubts or difficulties in understanding any topic.
| 3. Are there any specific topics that are frequently asked in the Class 8 Math CBSE Sample Question Paper Term I? | |
Yes, there are certain topics that are frequently asked in the Class 8 Math CBSE Sample Question Paper Term I. Some of these topics include:
- Rational Numbers
- Linear Equations
- Exponents and Powers
- Quadrilaterals
- Data Handling
- Understanding Quadrilaterals
- Practical Geometry
- Squares and Square Roots
- Cubes and Cube Roots
- Comparing Quantities
| 4. Is it important to solve previous years' question papers for the Class 8 Math CBSE Sample Question Paper Term I? | |
Yes, solving previous years' question papers for the Class 8 Math CBSE Sample Question Paper Term I is important. It helps you understand the exam pattern, the type of questions asked, and the marking scheme. By solving these papers, you can also assess your preparation level and identify your strengths and weaknesses. This practice will boost your confidence and improve your time management skills.
| 5. Where can I find CBSE Sample Question Papers for Class 8 Math Term I? | |
CBSE Sample Question Papers for Class 8 Math Term I can be found on various educational websites, such as the official CBSE website, educational portals, and online learning platforms. You can also ask your school or teachers for sample papers or access them through textbooks or reference books specifically designed for CBSE Class 8 Math.
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