Sample Question Paper 3 - Term- 1 Mathematics, Class 7 Class 7 Notes | EduRev

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Class 7 : Sample Question Paper 3 - Term- 1 Mathematics, Class 7 Class 7 Notes | EduRev

 Page 1


  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 3 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. (128 32) (-4) = 
A. -1 
B. 2 
C. -3 
D. -4 
 
2. If the cost one pencil is Rs 2.40, then the cost of 10 such pencils is: 
A. Rs. 24 
B. Rs. 240 
C. Rs. 10 
D. Rs. 100 
 
3. Median of 11, 10, 12, 4, 9, 18 and 6 is ______ . 
A. 11 
B. 10 
C. 4 
D. 9 
 
4. The first step that we will use to separate variables and constants in the linear 
equation 2x + 3 = 7 is 
A. Transposing 3 to RHS 
B. Transposing 7 to LHS 
C. Diving both sides by 2 
D. Multiplying both sides with 3 
 
Page 2


  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 3 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. (128 32) (-4) = 
A. -1 
B. 2 
C. -3 
D. -4 
 
2. If the cost one pencil is Rs 2.40, then the cost of 10 such pencils is: 
A. Rs. 24 
B. Rs. 240 
C. Rs. 10 
D. Rs. 100 
 
3. Median of 11, 10, 12, 4, 9, 18 and 6 is ______ . 
A. 11 
B. 10 
C. 4 
D. 9 
 
4. The first step that we will use to separate variables and constants in the linear 
equation 2x + 3 = 7 is 
A. Transposing 3 to RHS 
B. Transposing 7 to LHS 
C. Diving both sides by 2 
D. Multiplying both sides with 3 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
5. In the following diagram, measure of angle A is 
A. 60
o
 
B. 100
o
 
C. 120
o
 
D. 150
o
 
 
6. The cost of petrol is increased by 12%, find the increased amount if the cost is Rs. 54 
per liter.  
A. Rs 6.50 
B. Rs 6.48 
C. Rs 6.58 
D. Rs 6.00 
7. Multiplicative inverse of 
2
2
3
is 
A. 
8
3
 
B. 
?8
3
 
C. 
3
8
 
D. 1 
 
8. In the following figure, the relation between side lengths a, b and c is given by: 
A. a
2
 = b
2
 + c
2
 
B. b
2
 = a
2
 + c
2
 
C. c
2
 = a
2
 - b
2
  
D. c
2
 = a
2
 + b
2
 
 
9. The expression 21b - 32 + 7b - 20b on simplification gives one of the following 
expressions: 
A. 8b + 32 
B. 8b - 32 
C. 32 - 8b 
D. 24b 
 
10. What is the difference between the measures of a straight angle and a right  angle? 
E. 45
o
 
F. 60
o
 
G. 100
o
 
H. 90
o
 
 
Page 3


  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 3 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. (128 32) (-4) = 
A. -1 
B. 2 
C. -3 
D. -4 
 
2. If the cost one pencil is Rs 2.40, then the cost of 10 such pencils is: 
A. Rs. 24 
B. Rs. 240 
C. Rs. 10 
D. Rs. 100 
 
3. Median of 11, 10, 12, 4, 9, 18 and 6 is ______ . 
A. 11 
B. 10 
C. 4 
D. 9 
 
4. The first step that we will use to separate variables and constants in the linear 
equation 2x + 3 = 7 is 
A. Transposing 3 to RHS 
B. Transposing 7 to LHS 
C. Diving both sides by 2 
D. Multiplying both sides with 3 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
5. In the following diagram, measure of angle A is 
A. 60
o
 
B. 100
o
 
C. 120
o
 
D. 150
o
 
 
6. The cost of petrol is increased by 12%, find the increased amount if the cost is Rs. 54 
per liter.  
A. Rs 6.50 
B. Rs 6.48 
C. Rs 6.58 
D. Rs 6.00 
7. Multiplicative inverse of 
2
2
3
is 
A. 
8
3
 
B. 
?8
3
 
C. 
3
8
 
D. 1 
 
8. In the following figure, the relation between side lengths a, b and c is given by: 
A. a
2
 = b
2
 + c
2
 
B. b
2
 = a
2
 + c
2
 
C. c
2
 = a
2
 - b
2
  
D. c
2
 = a
2
 + b
2
 
 
9. The expression 21b - 32 + 7b - 20b on simplification gives one of the following 
expressions: 
A. 8b + 32 
B. 8b - 32 
C. 32 - 8b 
D. 24b 
 
10. What is the difference between the measures of a straight angle and a right  angle? 
E. 45
o
 
F. 60
o
 
G. 100
o
 
H. 90
o
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
11. In the figure given below, name the parts of the triangles that can be used to prove 
 the congruence of the two triangles. 
 
A.  
B.  
C.  
D.  
 
12. If on adding 9 to twice of a whole number gives 31, then the whole number  is 
A. 21 
B. 16 
C. 11 
D. 7 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. In the figure below, lines m and p are parallel; t is a transversal. If 
 
o
a 57 , then find z. ? ? ? 
                           
14. Calculate median and mode for following data: 
 23, 45, 46, 12, 34, 87, 78, 12, 65, 33, 19, 34, 55, 67, 81, 12, 56, 98, 11,49, 50 
 
15. Find the value of the following expression using suitable property: 
 725 × (-35) + (-725) x 65 
                  
 
16. What will you get on subtracting -134 from the sum of 38 and -87?         
 
Page 4


  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 3 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. (128 32) (-4) = 
A. -1 
B. 2 
C. -3 
D. -4 
 
2. If the cost one pencil is Rs 2.40, then the cost of 10 such pencils is: 
A. Rs. 24 
B. Rs. 240 
C. Rs. 10 
D. Rs. 100 
 
3. Median of 11, 10, 12, 4, 9, 18 and 6 is ______ . 
A. 11 
B. 10 
C. 4 
D. 9 
 
4. The first step that we will use to separate variables and constants in the linear 
equation 2x + 3 = 7 is 
A. Transposing 3 to RHS 
B. Transposing 7 to LHS 
C. Diving both sides by 2 
D. Multiplying both sides with 3 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
5. In the following diagram, measure of angle A is 
A. 60
o
 
B. 100
o
 
C. 120
o
 
D. 150
o
 
 
6. The cost of petrol is increased by 12%, find the increased amount if the cost is Rs. 54 
per liter.  
A. Rs 6.50 
B. Rs 6.48 
C. Rs 6.58 
D. Rs 6.00 
7. Multiplicative inverse of 
2
2
3
is 
A. 
8
3
 
B. 
?8
3
 
C. 
3
8
 
D. 1 
 
8. In the following figure, the relation between side lengths a, b and c is given by: 
A. a
2
 = b
2
 + c
2
 
B. b
2
 = a
2
 + c
2
 
C. c
2
 = a
2
 - b
2
  
D. c
2
 = a
2
 + b
2
 
 
9. The expression 21b - 32 + 7b - 20b on simplification gives one of the following 
expressions: 
A. 8b + 32 
B. 8b - 32 
C. 32 - 8b 
D. 24b 
 
10. What is the difference between the measures of a straight angle and a right  angle? 
E. 45
o
 
F. 60
o
 
G. 100
o
 
H. 90
o
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
11. In the figure given below, name the parts of the triangles that can be used to prove 
 the congruence of the two triangles. 
 
A.  
B.  
C.  
D.  
 
12. If on adding 9 to twice of a whole number gives 31, then the whole number  is 
A. 21 
B. 16 
C. 11 
D. 7 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. In the figure below, lines m and p are parallel; t is a transversal. If 
 
o
a 57 , then find z. ? ? ? 
                           
14. Calculate median and mode for following data: 
 23, 45, 46, 12, 34, 87, 78, 12, 65, 33, 19, 34, 55, 67, 81, 12, 56, 98, 11,49, 50 
 
15. Find the value of the following expression using suitable property: 
 725 × (-35) + (-725) x 65 
                  
 
16. What will you get on subtracting -134 from the sum of 38 and -87?         
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
17. In a cricket match, the runs scored by 11 players are as follows: 
12, 23, 10, 77, 15, 78, 90, 54, 23, 10 and 1 
Find the average score. 
 
18. In a factory, 9.2 kilograms of pumpkin pie filling is made per minute. How many 
kilograms of pie filling will be made in 6 minutes? 
 
19. Sam's truck gets him 
2
10
3
miles per gallon. Suppose the tank is empty and he puts 
gallons of diesel, how far can Sam go with his truck? 
 
20. Explain ASA congruence condition with the help of a diagram.  
 
21. If 40% of a number is equal to two-third of another number, what is the ratio of the 
first number to the second number?  
 
22. In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, 
AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. 
Examine whether the two triangles are congruent or not. 
If yes, write the congruence relation in symbolic form. 
 
23. Solve: 12p – 5 = 25 
 
24. By applying ASA congruence rule, it is to be established that ?ABC ??QRP 
and it is given that BC = RP. What additional information is needed to 
establish the congruence? 
 
Section C 
(Questions 25 to 32 carry 3 marks each) 
 
25. From the figure given below, find ?y and ?z.  
 
 
 
 
 
Page 5


  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 3 
Time: 2 ½ hours                          Total Marks: 80 
 
General Instructions: 
1. All questions are compulsory.  
2. Section A comprises of 12 questions carrying 1 mark each. 
3. Section B comprises of 12 questions carrying 2 marks each. 
4. Section C comprises of 8 questions carrying 3 marks each. 
5. Section D comprises of 5 questions carrying 4 marks each. 
 
Section A 
(Questions 1 to 12 carry 1 mark each) 
 
1. (128 32) (-4) = 
A. -1 
B. 2 
C. -3 
D. -4 
 
2. If the cost one pencil is Rs 2.40, then the cost of 10 such pencils is: 
A. Rs. 24 
B. Rs. 240 
C. Rs. 10 
D. Rs. 100 
 
3. Median of 11, 10, 12, 4, 9, 18 and 6 is ______ . 
A. 11 
B. 10 
C. 4 
D. 9 
 
4. The first step that we will use to separate variables and constants in the linear 
equation 2x + 3 = 7 is 
A. Transposing 3 to RHS 
B. Transposing 7 to LHS 
C. Diving both sides by 2 
D. Multiplying both sides with 3 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
5. In the following diagram, measure of angle A is 
A. 60
o
 
B. 100
o
 
C. 120
o
 
D. 150
o
 
 
6. The cost of petrol is increased by 12%, find the increased amount if the cost is Rs. 54 
per liter.  
A. Rs 6.50 
B. Rs 6.48 
C. Rs 6.58 
D. Rs 6.00 
7. Multiplicative inverse of 
2
2
3
is 
A. 
8
3
 
B. 
?8
3
 
C. 
3
8
 
D. 1 
 
8. In the following figure, the relation between side lengths a, b and c is given by: 
A. a
2
 = b
2
 + c
2
 
B. b
2
 = a
2
 + c
2
 
C. c
2
 = a
2
 - b
2
  
D. c
2
 = a
2
 + b
2
 
 
9. The expression 21b - 32 + 7b - 20b on simplification gives one of the following 
expressions: 
A. 8b + 32 
B. 8b - 32 
C. 32 - 8b 
D. 24b 
 
10. What is the difference between the measures of a straight angle and a right  angle? 
E. 45
o
 
F. 60
o
 
G. 100
o
 
H. 90
o
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
11. In the figure given below, name the parts of the triangles that can be used to prove 
 the congruence of the two triangles. 
 
A.  
B.  
C.  
D.  
 
12. If on adding 9 to twice of a whole number gives 31, then the whole number  is 
A. 21 
B. 16 
C. 11 
D. 7 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. In the figure below, lines m and p are parallel; t is a transversal. If 
 
o
a 57 , then find z. ? ? ? 
                           
14. Calculate median and mode for following data: 
 23, 45, 46, 12, 34, 87, 78, 12, 65, 33, 19, 34, 55, 67, 81, 12, 56, 98, 11,49, 50 
 
15. Find the value of the following expression using suitable property: 
 725 × (-35) + (-725) x 65 
                  
 
16. What will you get on subtracting -134 from the sum of 38 and -87?         
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
17. In a cricket match, the runs scored by 11 players are as follows: 
12, 23, 10, 77, 15, 78, 90, 54, 23, 10 and 1 
Find the average score. 
 
18. In a factory, 9.2 kilograms of pumpkin pie filling is made per minute. How many 
kilograms of pie filling will be made in 6 minutes? 
 
19. Sam's truck gets him 
2
10
3
miles per gallon. Suppose the tank is empty and he puts 
gallons of diesel, how far can Sam go with his truck? 
 
20. Explain ASA congruence condition with the help of a diagram.  
 
21. If 40% of a number is equal to two-third of another number, what is the ratio of the 
first number to the second number?  
 
22. In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, 
AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. 
Examine whether the two triangles are congruent or not. 
If yes, write the congruence relation in symbolic form. 
 
23. Solve: 12p – 5 = 25 
 
24. By applying ASA congruence rule, it is to be established that ?ABC ??QRP 
and it is given that BC = RP. What additional information is needed to 
establish the congruence? 
 
Section C 
(Questions 25 to 32 carry 3 marks each) 
 
25. From the figure given below, find ?y and ?z.  
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 3  
 
     
26. Rahul walks 
2
5
 km from a point A, towards north and then from there 
1
1
2
km 
towards south. At what position will he be from point A? 
  
 
27. A poultry farm produces 600 eggs every week and delivers them equally to 10 
shops. The shopkeepers charge Rs. 5 for every good egg but they have to give Rs. 2 
to the customer if the egg comes out to be rotten. A shopkeeper could only earn Rs. 
276 despite selling all the eggs. How many eggs were rotten? 
 
28. The ages in years of 10 teachers of a school are: 
32, 41, 28, 54, 35, 26, 23, 33, 38, 40 
(i) What is the age of the oldest teacher and that of the youngest teacher? 
(ii) What is the range of the ages of the teachers? 
(iii) What is the mean age of these teachers? 
 
29. Raju’s father’s age is 5 years more than three times Raju’s age. Raju’s father is 44 
years old. Set up an equation to find Raju’s age. 
 
30. The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two 
numbers can length of the third side fall? 
 
31. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at a rate of simple interest. 
What is the rate of interest?  
 
32. In Fig 7.23, AB = AC and AD is the bisector of ?BAC. 
(i) State three pairs of equal parts in triangles ADB and ADC. 
(ii) Is ?ADB ? ?ADC? Give reasons. 
(iii) Is ?B = ?C? Give reasons. 
                                        
 
 
 
 
 
 
 
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