Class 7 Math: CBSE Past Year Paper - 7 | Mathematics (Maths) Class 7 PDF Download

 Page 1


CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 
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. If a, b and c are integers then, according to distributive law          
A. a ? (b + c) = a ? b + a ? c 
B. a ? (b + c) = a + b ? a + c 
C. a ? (b + c) = a ? b ? a ? c 
D. a ? (b + c) = a ? c - a ? b 
 
2. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A.  
B.  
C.  
D.  
 
3. The solution of the equation 3x + 4 = 25 is            
A. 7 
B. 8 
C. 9 
D. 6 
 
 
Page 2


CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 
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. If a, b and c are integers then, according to distributive law          
A. a ? (b + c) = a ? b + a ? c 
B. a ? (b + c) = a + b ? a + c 
C. a ? (b + c) = a ? b ? a ? c 
D. a ? (b + c) = a ? c - a ? b 
 
2. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A.  
B.  
C.  
D.  
 
3. The solution of the equation 3x + 4 = 25 is            
A. 7 
B. 8 
C. 9 
D. 6 
 
 
4. In the figure given below, the measure of y is  
          
 
A. 30
o
 
B. 120
o
 
C. 130
o
 
D. 150
o
 
 
5. The measure of angle x, in the given figure is             
 
A. 45
o
 
B. 30
o
 
C. 60
o
 
D. 35
o
 
 
 
6. The integer -2 - (-5) can also be written as 
A. -2 + (-5) 
B. -2 + 5 
C. 2 – 5 
D. 2 + 5 
 
7. In the following figure, the relation between the angles 1, 2 and 3 is 
 
A.  
B.  
C.  
D.  
Page 3


CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 
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. If a, b and c are integers then, according to distributive law          
A. a ? (b + c) = a ? b + a ? c 
B. a ? (b + c) = a + b ? a + c 
C. a ? (b + c) = a ? b ? a ? c 
D. a ? (b + c) = a ? c - a ? b 
 
2. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A.  
B.  
C.  
D.  
 
3. The solution of the equation 3x + 4 = 25 is            
A. 7 
B. 8 
C. 9 
D. 6 
 
 
4. In the figure given below, the measure of y is  
          
 
A. 30
o
 
B. 120
o
 
C. 130
o
 
D. 150
o
 
 
5. The measure of angle x, in the given figure is             
 
A. 45
o
 
B. 30
o
 
C. 60
o
 
D. 35
o
 
 
 
6. The integer -2 - (-5) can also be written as 
A. -2 + (-5) 
B. -2 + 5 
C. 2 – 5 
D. 2 + 5 
 
7. In the following figure, the relation between the angles 1, 2 and 3 is 
 
A.  
B.  
C.  
D.  
 
8. Mean of 11, 10, 12, 12, 9, 10, 14, 12, 9 is ______ . 
A. 20 
B. 10 
C. 11 
D. 14 
 
9. Five added to a one third of a number gives twice the number, then the number is 
A. 3 
B. 4 
C. 5 
D. 6 
 
10. In the following figure, the measure of angle x is 
 
 
A. 60
o
 
B. 150
o
 
C. 30
o
 
D. 45
o
 
 
11. The value of x in the following triangle is 
 
 
A. 6 cm 
B. 8 cm 
C. 5 cm 
D. 2 cm 
 
 
 
 
Page 4


CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 
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. If a, b and c are integers then, according to distributive law          
A. a ? (b + c) = a ? b + a ? c 
B. a ? (b + c) = a + b ? a + c 
C. a ? (b + c) = a ? b ? a ? c 
D. a ? (b + c) = a ? c - a ? b 
 
2. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A.  
B.  
C.  
D.  
 
3. The solution of the equation 3x + 4 = 25 is            
A. 7 
B. 8 
C. 9 
D. 6 
 
 
4. In the figure given below, the measure of y is  
          
 
A. 30
o
 
B. 120
o
 
C. 130
o
 
D. 150
o
 
 
5. The measure of angle x, in the given figure is             
 
A. 45
o
 
B. 30
o
 
C. 60
o
 
D. 35
o
 
 
 
6. The integer -2 - (-5) can also be written as 
A. -2 + (-5) 
B. -2 + 5 
C. 2 – 5 
D. 2 + 5 
 
7. In the following figure, the relation between the angles 1, 2 and 3 is 
 
A.  
B.  
C.  
D.  
 
8. Mean of 11, 10, 12, 12, 9, 10, 14, 12, 9 is ______ . 
A. 20 
B. 10 
C. 11 
D. 14 
 
9. Five added to a one third of a number gives twice the number, then the number is 
A. 3 
B. 4 
C. 5 
D. 6 
 
10. In the following figure, the measure of angle x is 
 
 
A. 60
o
 
B. 150
o
 
C. 30
o
 
D. 45
o
 
 
11. The value of x in the following triangle is 
 
 
A. 6 cm 
B. 8 cm 
C. 5 cm 
D. 2 cm 
 
 
 
 
 
 
12. Name the pair of congruent triangles in the given figure. 
 
 
A. ? ? ? ABC PQR 
B. ABC RQP ? ? ? 
C. BAC PQR ? ? ? 
D. None of these 
 
 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. What is the measure of complement of each of the following angle?     
A. 45
o
   
B. 54
o
    
C. 65
o
 
 
14. Write the following equations in statement form:         
A. 6n + 4 = 10 
B.  
y
7
 - 3 = 9 
 
15. Raju has solved 
2
4
part of an exercise while Sameer solved 
1
2
part of it. Who has 
solved more?                   
 
16. How many angles are formed when 2 lines intersect?             
 
17. How many feet long strips of ribbon can be cut from a ribbon that is  feet 
long?    
 
 
Page 5


CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 1 
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. If a, b and c are integers then, according to distributive law          
A. a ? (b + c) = a ? b + a ? c 
B. a ? (b + c) = a + b ? a + c 
C. a ? (b + c) = a ? b ? a ? c 
D. a ? (b + c) = a ? c - a ? b 
 
2. A number is chosen at random from 1 to 5. What is the probability that the number 
chosen is odd?                 
A.  
B.  
C.  
D.  
 
3. The solution of the equation 3x + 4 = 25 is            
A. 7 
B. 8 
C. 9 
D. 6 
 
 
4. In the figure given below, the measure of y is  
          
 
A. 30
o
 
B. 120
o
 
C. 130
o
 
D. 150
o
 
 
5. The measure of angle x, in the given figure is             
 
A. 45
o
 
B. 30
o
 
C. 60
o
 
D. 35
o
 
 
 
6. The integer -2 - (-5) can also be written as 
A. -2 + (-5) 
B. -2 + 5 
C. 2 – 5 
D. 2 + 5 
 
7. In the following figure, the relation between the angles 1, 2 and 3 is 
 
A.  
B.  
C.  
D.  
 
8. Mean of 11, 10, 12, 12, 9, 10, 14, 12, 9 is ______ . 
A. 20 
B. 10 
C. 11 
D. 14 
 
9. Five added to a one third of a number gives twice the number, then the number is 
A. 3 
B. 4 
C. 5 
D. 6 
 
10. In the following figure, the measure of angle x is 
 
 
A. 60
o
 
B. 150
o
 
C. 30
o
 
D. 45
o
 
 
11. The value of x in the following triangle is 
 
 
A. 6 cm 
B. 8 cm 
C. 5 cm 
D. 2 cm 
 
 
 
 
 
 
12. Name the pair of congruent triangles in the given figure. 
 
 
A. ? ? ? ABC PQR 
B. ABC RQP ? ? ? 
C. BAC PQR ? ? ? 
D. None of these 
 
 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. What is the measure of complement of each of the following angle?     
A. 45
o
   
B. 54
o
    
C. 65
o
 
 
14. Write the following equations in statement form:         
A. 6n + 4 = 10 
B.  
y
7
 - 3 = 9 
 
15. Raju has solved 
2
4
part of an exercise while Sameer solved 
1
2
part of it. Who has 
solved more?                   
 
16. How many angles are formed when 2 lines intersect?             
 
17. How many feet long strips of ribbon can be cut from a ribbon that is  feet 
long?    
 
 
18. If RO is perpendicular to PT, find the measure of angles 1 and 2 in the figure below: 
 
 
19. If 
2x 1 x 2
, then what is the value of x?
32
??
? 
 
20. 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? 
 
21. It takes 
 
yards of material to make a shirt. How many yards of material will be 
required to make 6 shirts? 
 
22. In the figure below, CDE QPR. What is m D? 
 
 
23. In a cricket match, the runs scored by 11 players are as follows 
12, 23, 10, 77, 15, 78, 90, 54, 23, 10, 1 
Find the average score. 
 
24. Explain ASA congruence condition with the help of a diagram.