Sample Solution Paper 1 - Term- 1 Math, Class 8 Class 8 Notes | EduRev

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Class 8 : Sample Solution Paper 1 - Term- 1 Math, Class 8 Class 8 Notes | EduRev

 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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