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

Mathematics (Maths) Class 7

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

 Page 1


  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 - Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: A 
According to the distributive property of integers, we have 
a ? (b + c) = a ? b + a ? c 
 
2. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3, 5. 
Required probability 
= number of ways to choose an odd number /total number of numbers 
= 3/5 
 
3. Correct answer: A 
3x + 4 = 25 
Transposing 4 to R.H.S, we get 
3x = 25 - 4 
3x = 21 
Dividing both sides by 3, we get 
x = 7 
 
4. 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) 
 
5. Correct answer: D 
We know that the measure of an exterior angle of a triangle is equal to the sum of its  
two opposite interior angles. 
So, x + 90
o
 = 125
o
 
Therefore, x = 35
o
 
 
6. Correct answer: B 
 Negative of a negative integer is a positive integer. 
 So, - (-5) = +5 
 So, -2 - (-5) = -2 + 5 
 
Page 2


  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 - Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: A 
According to the distributive property of integers, we have 
a ? (b + c) = a ? b + a ? c 
 
2. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3, 5. 
Required probability 
= number of ways to choose an odd number /total number of numbers 
= 3/5 
 
3. Correct answer: A 
3x + 4 = 25 
Transposing 4 to R.H.S, we get 
3x = 25 - 4 
3x = 21 
Dividing both sides by 3, we get 
x = 7 
 
4. 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) 
 
5. Correct answer: D 
We know that the measure of an exterior angle of a triangle is equal to the sum of its  
two opposite interior angles. 
So, x + 90
o
 = 125
o
 
Therefore, x = 35
o
 
 
6. Correct answer: B 
 Negative of a negative integer is a positive integer. 
 So, - (-5) = +5 
 So, -2 - (-5) = -2 + 5 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
7. Correct answer: C 
 
 Since, the measure of an exterior angle of a triangle is equal to the sum of 
 measures of its two opposite interior angles. 
 
8. Correct answer: C 
The given observations are 11, 10, 12, 12, 9, 10, 14, 12, 9. 
  
9. Correct answer: A 
 
 
10. Correct answer: C 
Angle x is alternate angle to angle 30
o
. 
And, since alternate interior angles are equal, x = 30
o
. 
 
11. Correct answer: C 
Since, given triangle is a right angled triangle, we have 
x
2
 = 3
2
 + 4
2
 = 9 + 16 = 25 = 5
2
 
 Therefore, x = 5 cm 
 
12. Correct answer: B 
Given, AB = RQ, AC = RP, ?BAC = ?QRP
 
Hence, ?ABC ? ?RQP 
Page 3


  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 - Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: A 
According to the distributive property of integers, we have 
a ? (b + c) = a ? b + a ? c 
 
2. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3, 5. 
Required probability 
= number of ways to choose an odd number /total number of numbers 
= 3/5 
 
3. Correct answer: A 
3x + 4 = 25 
Transposing 4 to R.H.S, we get 
3x = 25 - 4 
3x = 21 
Dividing both sides by 3, we get 
x = 7 
 
4. 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) 
 
5. Correct answer: D 
We know that the measure of an exterior angle of a triangle is equal to the sum of its  
two opposite interior angles. 
So, x + 90
o
 = 125
o
 
Therefore, x = 35
o
 
 
6. Correct answer: B 
 Negative of a negative integer is a positive integer. 
 So, - (-5) = +5 
 So, -2 - (-5) = -2 + 5 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
7. Correct answer: C 
 
 Since, the measure of an exterior angle of a triangle is equal to the sum of 
 measures of its two opposite interior angles. 
 
8. Correct answer: C 
The given observations are 11, 10, 12, 12, 9, 10, 14, 12, 9. 
  
9. Correct answer: A 
 
 
10. Correct answer: C 
Angle x is alternate angle to angle 30
o
. 
And, since alternate interior angles are equal, x = 30
o
. 
 
11. Correct answer: C 
Since, given triangle is a right angled triangle, we have 
x
2
 = 3
2
 + 4
2
 = 9 + 16 = 25 = 5
2
 
 Therefore, x = 5 cm 
 
12. Correct answer: B 
Given, AB = RQ, AC = RP, ?BAC = ?QRP
 
Hence, ?ABC ? ?RQP 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
Section B 
 
13. To find the complement of each of the given angle, we have to subtract them from 
90
o
, since the sum of two complementary angles is 90
o
. 
(a) Complementary angle of 45
o
 = 90
o
 - 45
o 
= 45
o
 
(b) Complementary angle of 54
o
 = 90
o
 - 54
o
 = 36
o
 
(c) Complementary angle of 65
o
 = 90
o
 - 65
o
 = 25
o
 
 
14.  
(a) 6n + 4 = 10 
Statement: 
For 6n, Six times of a number n 
For 6n + 4, Six times of a number n added to 4 
Thus, for 6n + 4 = 10, the final statement is   
"Six times of a number n added to 4 gives 10". 
 
(b) 
y
7
 - 3 = 9 
Statement: 
For
y
7
, one-seventh of a number y 
For 
y
7
- 3, 3 subtracted from one-seventh of a number y 
Thus, for
y
7
 - 3 = 9, the final statement is  
"3 subtracted from one-seventh of a number y gives 9". 
 
15.  part of the exercise is solved by Raju. 
When  is converted into lowest form, we get 
 
which is same as part of exercise solved by Sameer. 
Thus, both have solved same part of the exercise. 
 
 
 
 
 
 
 
Page 4


  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 - Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: A 
According to the distributive property of integers, we have 
a ? (b + c) = a ? b + a ? c 
 
2. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3, 5. 
Required probability 
= number of ways to choose an odd number /total number of numbers 
= 3/5 
 
3. Correct answer: A 
3x + 4 = 25 
Transposing 4 to R.H.S, we get 
3x = 25 - 4 
3x = 21 
Dividing both sides by 3, we get 
x = 7 
 
4. 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) 
 
5. Correct answer: D 
We know that the measure of an exterior angle of a triangle is equal to the sum of its  
two opposite interior angles. 
So, x + 90
o
 = 125
o
 
Therefore, x = 35
o
 
 
6. Correct answer: B 
 Negative of a negative integer is a positive integer. 
 So, - (-5) = +5 
 So, -2 - (-5) = -2 + 5 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
7. Correct answer: C 
 
 Since, the measure of an exterior angle of a triangle is equal to the sum of 
 measures of its two opposite interior angles. 
 
8. Correct answer: C 
The given observations are 11, 10, 12, 12, 9, 10, 14, 12, 9. 
  
9. Correct answer: A 
 
 
10. Correct answer: C 
Angle x is alternate angle to angle 30
o
. 
And, since alternate interior angles are equal, x = 30
o
. 
 
11. Correct answer: C 
Since, given triangle is a right angled triangle, we have 
x
2
 = 3
2
 + 4
2
 = 9 + 16 = 25 = 5
2
 
 Therefore, x = 5 cm 
 
12. Correct answer: B 
Given, AB = RQ, AC = RP, ?BAC = ?QRP
 
Hence, ?ABC ? ?RQP 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
Section B 
 
13. To find the complement of each of the given angle, we have to subtract them from 
90
o
, since the sum of two complementary angles is 90
o
. 
(a) Complementary angle of 45
o
 = 90
o
 - 45
o 
= 45
o
 
(b) Complementary angle of 54
o
 = 90
o
 - 54
o
 = 36
o
 
(c) Complementary angle of 65
o
 = 90
o
 - 65
o
 = 25
o
 
 
14.  
(a) 6n + 4 = 10 
Statement: 
For 6n, Six times of a number n 
For 6n + 4, Six times of a number n added to 4 
Thus, for 6n + 4 = 10, the final statement is   
"Six times of a number n added to 4 gives 10". 
 
(b) 
y
7
 - 3 = 9 
Statement: 
For
y
7
, one-seventh of a number y 
For 
y
7
- 3, 3 subtracted from one-seventh of a number y 
Thus, for
y
7
 - 3 = 9, the final statement is  
"3 subtracted from one-seventh of a number y gives 9". 
 
15.  part of the exercise is solved by Raju. 
When  is converted into lowest form, we get 
 
which is same as part of exercise solved by Sameer. 
Thus, both have solved same part of the exercise. 
 
 
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
16. When two line intersect the following figure is formed. This shows that 4 angles are 
formed. 
 
 
17. Divide the total length of ribbon by the length of each strip of ribbon that is cut from 
it to get the total number of ribbon strips. 
So, divide by  
=  
=  
=  
= = 6 
Thus, 6 strips can be cut from the ribbon. 
 
18. In the figure, we can see that POR and ROT are right angles.
 
Thus,  ?ROS + ?2 = 90
o
 
?ROS = 67
o
 
So, ?2 = 90
o
 - 67
o  
= 23
o
  
Also, ?POQ + ?1 = 90
o
 
?POQ = 52
o
 
So, ?1 = 90
o
 - 52
o  
= 38
o 
 
19.  
 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 
 
 
Page 5


  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 - Solution 
Time: 2 ½ hours                          Total Marks: 80 
 
Section A 
 
1. Correct answer: A 
According to the distributive property of integers, we have 
a ? (b + c) = a ? b + a ? c 
 
2. Correct answer: B 
A number is chosen from numbers 1 to 5. 
Odd numbers are 1, 3, 5. 
Required probability 
= number of ways to choose an odd number /total number of numbers 
= 3/5 
 
3. Correct answer: A 
3x + 4 = 25 
Transposing 4 to R.H.S, we get 
3x = 25 - 4 
3x = 21 
Dividing both sides by 3, we get 
x = 7 
 
4. 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) 
 
5. Correct answer: D 
We know that the measure of an exterior angle of a triangle is equal to the sum of its  
two opposite interior angles. 
So, x + 90
o
 = 125
o
 
Therefore, x = 35
o
 
 
6. Correct answer: B 
 Negative of a negative integer is a positive integer. 
 So, - (-5) = +5 
 So, -2 - (-5) = -2 + 5 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
7. Correct answer: C 
 
 Since, the measure of an exterior angle of a triangle is equal to the sum of 
 measures of its two opposite interior angles. 
 
8. Correct answer: C 
The given observations are 11, 10, 12, 12, 9, 10, 14, 12, 9. 
  
9. Correct answer: A 
 
 
10. Correct answer: C 
Angle x is alternate angle to angle 30
o
. 
And, since alternate interior angles are equal, x = 30
o
. 
 
11. Correct answer: C 
Since, given triangle is a right angled triangle, we have 
x
2
 = 3
2
 + 4
2
 = 9 + 16 = 25 = 5
2
 
 Therefore, x = 5 cm 
 
12. Correct answer: B 
Given, AB = RQ, AC = RP, ?BAC = ?QRP
 
Hence, ?ABC ? ?RQP 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
Section B 
 
13. To find the complement of each of the given angle, we have to subtract them from 
90
o
, since the sum of two complementary angles is 90
o
. 
(a) Complementary angle of 45
o
 = 90
o
 - 45
o 
= 45
o
 
(b) Complementary angle of 54
o
 = 90
o
 - 54
o
 = 36
o
 
(c) Complementary angle of 65
o
 = 90
o
 - 65
o
 = 25
o
 
 
14.  
(a) 6n + 4 = 10 
Statement: 
For 6n, Six times of a number n 
For 6n + 4, Six times of a number n added to 4 
Thus, for 6n + 4 = 10, the final statement is   
"Six times of a number n added to 4 gives 10". 
 
(b) 
y
7
 - 3 = 9 
Statement: 
For
y
7
, one-seventh of a number y 
For 
y
7
- 3, 3 subtracted from one-seventh of a number y 
Thus, for
y
7
 - 3 = 9, the final statement is  
"3 subtracted from one-seventh of a number y gives 9". 
 
15.  part of the exercise is solved by Raju. 
When  is converted into lowest form, we get 
 
which is same as part of exercise solved by Sameer. 
Thus, both have solved same part of the exercise. 
 
 
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
16. When two line intersect the following figure is formed. This shows that 4 angles are 
formed. 
 
 
17. Divide the total length of ribbon by the length of each strip of ribbon that is cut from 
it to get the total number of ribbon strips. 
So, divide by  
=  
=  
=  
= = 6 
Thus, 6 strips can be cut from the ribbon. 
 
18. In the figure, we can see that POR and ROT are right angles.
 
Thus,  ?ROS + ?2 = 90
o
 
?ROS = 67
o
 
So, ?2 = 90
o
 - 67
o  
= 23
o
  
Also, ?POQ + ?1 = 90
o
 
?POQ = 52
o
 
So, ?1 = 90
o
 - 52
o  
= 38
o 
 
19.  
 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 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 1 - Solution  
 
     
20. Eggs produced by the poultry farm = 600 
Eggs delivered to each shop = 600 ? 10 = 60 
 Money earned by a particular shopkeeper = Rs. 276 
 Money earned if all eggs were good = 60 × 5 = Rs. 300 
 Money lost due to rotten eggs = 300 - 276 = Rs. 24 
 Cost that shopkeeper will give for one rotten egg = Rs. 2 
 Number of rotten eggs = 24 ? 2 = 12 
 Hence, 12 eggs were rotten. 
 
21. Material required to make 1 shirt = yards 
Material required to make 6 shirts =  
 Thus, to make 6 shirts, yards of material will be required. 
 
22. Given, CDE QPR 
We have to find the angle in ?PQR that corresponds to ?D.  
Now, since corresponding parts of congruent triangles are congruent, ?D  ?P. 
Hence, ?D = 60
o
. 
 
23. Average score = mean score 
Mean  
             
 
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