Sample Solution Paper 1 - Term- 2 Mathematics, Class 7 Class 7 Notes | EduRev

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Class 7 : Sample Solution Paper 1 - Term- 2 Mathematics, Class 7 Class 7 Notes | EduRev

 Page 1


  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: B 
Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100
 
Therefore, SP = Rs (7000 - 2800) = Rs 4200. 
 
2. Correct answer: A 
Since the numerators are equal, so the rational number with the least denominator 
is the greatest. 
 
3. Correct answer: B 
Measure of one side. 
 
4. Correct answer: C 
   
 
 
5. Correct answer: A 
a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2
  
 
6. Correct answer: C 
Number of lines of symmetry of a regular polygon is equal to its number of sides. 
Since, regular heptagon has 7 sides, it has 7 lines of symmetry. 
 
 
 
Page 2


  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: B 
Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100
 
Therefore, SP = Rs (7000 - 2800) = Rs 4200. 
 
2. Correct answer: A 
Since the numerators are equal, so the rational number with the least denominator 
is the greatest. 
 
3. Correct answer: B 
Measure of one side. 
 
4. Correct answer: C 
   
 
 
5. Correct answer: A 
a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2
  
 
6. Correct answer: C 
Number of lines of symmetry of a regular polygon is equal to its number of sides. 
Since, regular heptagon has 7 sides, it has 7 lines of symmetry. 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
7. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3 and 5. 
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5
 
 
 
8. Correct answer: A 
A regular hexagon has 1 centre of rotation.  
 
9. Correct answer: C 
  
 
10. Correct answer: B 
Substituting the value of x in the given expression, we get: 
7 × (-2)
2
 -5 × (-2) + k = -4 
28 + 10 + k = -4 
38 + k = -4 
Thus, k = -42 
 
11. Correct answer: D 
Since, the angle measuring 150
o
 and y are corresponding angles. Therefore, y = 150
o
. 
(As the lines are parallel, corresponding angles are equal) 
 
12. Correct answer: C 
-5 + 9 + (-5) + (-10) + (1) 
 -5 + 9 = 4 
 4 + (-5) = -1 
 -1 + (-10) = -1 - 10 = -11 
 -11 + 1 = -10 
 So, -5 + 9 + (-5) + (-10) + (1) = -10  
 
 
 
Page 3


  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: B 
Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100
 
Therefore, SP = Rs (7000 - 2800) = Rs 4200. 
 
2. Correct answer: A 
Since the numerators are equal, so the rational number with the least denominator 
is the greatest. 
 
3. Correct answer: B 
Measure of one side. 
 
4. Correct answer: C 
   
 
 
5. Correct answer: A 
a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2
  
 
6. Correct answer: C 
Number of lines of symmetry of a regular polygon is equal to its number of sides. 
Since, regular heptagon has 7 sides, it has 7 lines of symmetry. 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
7. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3 and 5. 
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5
 
 
 
8. Correct answer: A 
A regular hexagon has 1 centre of rotation.  
 
9. Correct answer: C 
  
 
10. Correct answer: B 
Substituting the value of x in the given expression, we get: 
7 × (-2)
2
 -5 × (-2) + k = -4 
28 + 10 + k = -4 
38 + k = -4 
Thus, k = -42 
 
11. Correct answer: D 
Since, the angle measuring 150
o
 and y are corresponding angles. Therefore, y = 150
o
. 
(As the lines are parallel, corresponding angles are equal) 
 
12. Correct answer: C 
-5 + 9 + (-5) + (-10) + (1) 
 -5 + 9 = 4 
 4 + (-5) = -1 
 -1 + (-10) = -1 - 10 = -11 
 -11 + 1 = -10 
 So, -5 + 9 + (-5) + (-10) + (1) = -10  
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
Section B 
 
13. 
2x-1 x+2
=
32
 
 Multiply both sides by 6 (L.C.M of 3 and 2) 
 2 (2x -1) = 3 (x + 2) 
 4x - 2 = 3x + 6  
 Transpose 3x to L.H.S and -2 to R.H.S 
 4x -3x = 6 + 2 
 x = 8 
 
14. Decrease in consumption = 10 - 8 = 2 kg 
Therefore,  
  
         = ??
2
100 20
10
% 
 
15. The rational form of the given decimals are: 
 
The rational numbers obtained above can be represented as follows: 
   
 
16. Area of the triangle ABC = 48 m
2
 
Height, CD = 12 m 
Area = 
1
2
 x base x height 
48 = 
1
2
 x AB x 12 
6 x AB = 48  
AB = 8 m 
Thus, base AB = 8 m 
 
 
 
Page 4


  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: B 
Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100
 
Therefore, SP = Rs (7000 - 2800) = Rs 4200. 
 
2. Correct answer: A 
Since the numerators are equal, so the rational number with the least denominator 
is the greatest. 
 
3. Correct answer: B 
Measure of one side. 
 
4. Correct answer: C 
   
 
 
5. Correct answer: A 
a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2
  
 
6. Correct answer: C 
Number of lines of symmetry of a regular polygon is equal to its number of sides. 
Since, regular heptagon has 7 sides, it has 7 lines of symmetry. 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
7. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3 and 5. 
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5
 
 
 
8. Correct answer: A 
A regular hexagon has 1 centre of rotation.  
 
9. Correct answer: C 
  
 
10. Correct answer: B 
Substituting the value of x in the given expression, we get: 
7 × (-2)
2
 -5 × (-2) + k = -4 
28 + 10 + k = -4 
38 + k = -4 
Thus, k = -42 
 
11. Correct answer: D 
Since, the angle measuring 150
o
 and y are corresponding angles. Therefore, y = 150
o
. 
(As the lines are parallel, corresponding angles are equal) 
 
12. Correct answer: C 
-5 + 9 + (-5) + (-10) + (1) 
 -5 + 9 = 4 
 4 + (-5) = -1 
 -1 + (-10) = -1 - 10 = -11 
 -11 + 1 = -10 
 So, -5 + 9 + (-5) + (-10) + (1) = -10  
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
Section B 
 
13. 
2x-1 x+2
=
32
 
 Multiply both sides by 6 (L.C.M of 3 and 2) 
 2 (2x -1) = 3 (x + 2) 
 4x - 2 = 3x + 6  
 Transpose 3x to L.H.S and -2 to R.H.S 
 4x -3x = 6 + 2 
 x = 8 
 
14. Decrease in consumption = 10 - 8 = 2 kg 
Therefore,  
  
         = ??
2
100 20
10
% 
 
15. The rational form of the given decimals are: 
 
The rational numbers obtained above can be represented as follows: 
   
 
16. Area of the triangle ABC = 48 m
2
 
Height, CD = 12 m 
Area = 
1
2
 x base x height 
48 = 
1
2
 x AB x 12 
6 x AB = 48  
AB = 8 m 
Thus, base AB = 8 m 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
17. Consider: 
3(a + b) - 2(2a - b) + 4a - 7 
= 3a + 3b - 4a + 2b + 4a - 7 
= (3a - 4a + 4a) + (2b + 3b) - 7 
= 3a + 5b - 7  
 
18. We have, 
 
Since bases are equal, powers are also equal. 
 
 
19. The alphabet is H 
 It has 2 lines of symmetry as shown below: 
  
 After rotating the letter H through 180
o
, we find that the image remains same. So the 
 order of rotational symmetry is 2. 
 
 
 
20. Number of cubes in the first layer = 5 x 5 = 25 
Number of cubes in the second layer = 13 + 4 = 17 
Number of cubes in third layer = 4 
Hence, total number of cubes = 25 + 17 + 4 = 46  
 
Page 5


  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
CBSE Board 
Class VII Mathematics 
Term II 
Sample Paper 1 – Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: B 
Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100
 
Therefore, SP = Rs (7000 - 2800) = Rs 4200. 
 
2. Correct answer: A 
Since the numerators are equal, so the rational number with the least denominator 
is the greatest. 
 
3. Correct answer: B 
Measure of one side. 
 
4. Correct answer: C 
   
 
 
5. Correct answer: A 
a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2
  
 
6. Correct answer: C 
Number of lines of symmetry of a regular polygon is equal to its number of sides. 
Since, regular heptagon has 7 sides, it has 7 lines of symmetry. 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
7. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3 and 5. 
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5
 
 
 
8. Correct answer: A 
A regular hexagon has 1 centre of rotation.  
 
9. Correct answer: C 
  
 
10. Correct answer: B 
Substituting the value of x in the given expression, we get: 
7 × (-2)
2
 -5 × (-2) + k = -4 
28 + 10 + k = -4 
38 + k = -4 
Thus, k = -42 
 
11. Correct answer: D 
Since, the angle measuring 150
o
 and y are corresponding angles. Therefore, y = 150
o
. 
(As the lines are parallel, corresponding angles are equal) 
 
12. Correct answer: C 
-5 + 9 + (-5) + (-10) + (1) 
 -5 + 9 = 4 
 4 + (-5) = -1 
 -1 + (-10) = -1 - 10 = -11 
 -11 + 1 = -10 
 So, -5 + 9 + (-5) + (-10) + (1) = -10  
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
Section B 
 
13. 
2x-1 x+2
=
32
 
 Multiply both sides by 6 (L.C.M of 3 and 2) 
 2 (2x -1) = 3 (x + 2) 
 4x - 2 = 3x + 6  
 Transpose 3x to L.H.S and -2 to R.H.S 
 4x -3x = 6 + 2 
 x = 8 
 
14. Decrease in consumption = 10 - 8 = 2 kg 
Therefore,  
  
         = ??
2
100 20
10
% 
 
15. The rational form of the given decimals are: 
 
The rational numbers obtained above can be represented as follows: 
   
 
16. Area of the triangle ABC = 48 m
2
 
Height, CD = 12 m 
Area = 
1
2
 x base x height 
48 = 
1
2
 x AB x 12 
6 x AB = 48  
AB = 8 m 
Thus, base AB = 8 m 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
17. Consider: 
3(a + b) - 2(2a - b) + 4a - 7 
= 3a + 3b - 4a + 2b + 4a - 7 
= (3a - 4a + 4a) + (2b + 3b) - 7 
= 3a + 5b - 7  
 
18. We have, 
 
Since bases are equal, powers are also equal. 
 
 
19. The alphabet is H 
 It has 2 lines of symmetry as shown below: 
  
 After rotating the letter H through 180
o
, we find that the image remains same. So the 
 order of rotational symmetry is 2. 
 
 
 
20. Number of cubes in the first layer = 5 x 5 = 25 
Number of cubes in the second layer = 13 + 4 = 17 
Number of cubes in third layer = 4 
Hence, total number of cubes = 25 + 17 + 4 = 46  
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 – Solution 
 
     
21. Drawing the relational part, the images become as follows: 
 
  
 
22. 
 
i. 343000 = 343 × 1000 
= 7 × 7 × 7 × 10 × 10 × 10 
= 7
3
 ×10
3 
 
ii. 2048 = 2 × 1024 
= 2 × 2 × 512 
= 2 × 2 × 2 × 256 
= 2 × 2 × 2 × 2 × 128 
= 2 × 2 × 2 × 2 × 2 × 64 
= 2 × 2 × 2 × 2 × 2 × 2 × 32 
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 16 
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 8 
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 
= 2
11 
 
23. Total tons of hay owned by the farmer = 
1
56
2
 tons 
Amount of hay sold by him = 
3
5
 of 
1
56
2
 tons 
i.e. 
3
5
 × 
1
56
2
  ['of' means multiplication] 
3 113
=×
52
3×113
=
5×2
339
=
10
9
=33
10
 
Thus, the farmer sold 
9
33
10
 tons of hay. 
 
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