Sample Question Paper 4 - Term- 1 Mathematics, Class 7 Class 7 Notes | EduRev

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Class 7 : Sample Question Paper 4 - Term- 1 Mathematics, Class 7 Class 7 Notes | EduRev

 Page 1


  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 4 
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. When two positive integers are added we get a __________ integer. 
A. Positive 
B. Negative 
C. Either positive or negative 
D. None of above 
 
2. A ____________ is a fraction that represents a part of a whole. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
3. On a number line when we add a positive integer…. 
A. we move to the left 
B. we move to the right  
C. we move to the origin  
D. we move away from origin 
 
4. An ___________ is a combination of whole and a proper fraction. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
Page 2


  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 4 
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. When two positive integers are added we get a __________ integer. 
A. Positive 
B. Negative 
C. Either positive or negative 
D. None of above 
 
2. A ____________ is a fraction that represents a part of a whole. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
3. On a number line when we add a positive integer…. 
A. we move to the left 
B. we move to the right  
C. we move to the origin  
D. we move away from origin 
 
4. An ___________ is a combination of whole and a proper fraction. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
5. Two vessels contain 20 litres and 60 litres of milk respectively. What is the amount 
that each vessel would have, if both share the milk equally? 
A. 50 
B. 40 
C. 30 
D. 20 
 
6. A ________ takes on different numerical values; its value is not fixed. 
A. Constant 
B. Variable 
C. Alphabets 
D. None of above 
 
7. A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55 
Calculate the mean runs scored by him in an inning. 
A. 45 
B. 46 
C. 47 
D. 48 
 
8. An __________ is a condition on a variable. The condition is that two expressions 
should have equal value. 
A. expression 
B. Identity 
C. equation 
D. None 
 
9.  When the sum of the measures of two angles is 90°, the angles are called…. 
A. Right angles 
B. Adjacent angles 
C. Supplementary angles 
D. Complementary angles 
 
10.  A _________ connects a vertex of a triangle to the mid-point of the opposite side. 
A. altitude 
B. median 
C. angle bisector 
D. perpendicular bisector 
 
 
 
 
Page 3


  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 4 
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. When two positive integers are added we get a __________ integer. 
A. Positive 
B. Negative 
C. Either positive or negative 
D. None of above 
 
2. A ____________ is a fraction that represents a part of a whole. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
3. On a number line when we add a positive integer…. 
A. we move to the left 
B. we move to the right  
C. we move to the origin  
D. we move away from origin 
 
4. An ___________ is a combination of whole and a proper fraction. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
5. Two vessels contain 20 litres and 60 litres of milk respectively. What is the amount 
that each vessel would have, if both share the milk equally? 
A. 50 
B. 40 
C. 30 
D. 20 
 
6. A ________ takes on different numerical values; its value is not fixed. 
A. Constant 
B. Variable 
C. Alphabets 
D. None of above 
 
7. A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55 
Calculate the mean runs scored by him in an inning. 
A. 45 
B. 46 
C. 47 
D. 48 
 
8. An __________ is a condition on a variable. The condition is that two expressions 
should have equal value. 
A. expression 
B. Identity 
C. equation 
D. None 
 
9.  When the sum of the measures of two angles is 90°, the angles are called…. 
A. Right angles 
B. Adjacent angles 
C. Supplementary angles 
D. Complementary angles 
 
10.  A _________ connects a vertex of a triangle to the mid-point of the opposite side. 
A. altitude 
B. median 
C. angle bisector 
D. perpendicular bisector 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
11. which of the following are not test of congruency 
A. SSS 
B. AAS 
C. SAS 
D. AAA 
 
12.  Find the ratio of 3 km to 300 m. 
A. 10 : 1 
B. 1 : 10 
C. 1 : 100 
D. 100 : 1 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. Use the sign of >, < or = in the box to make the statements true. 
? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ?
? ?
? ? ? ? ? ? ? ? ? ?
? ?
a 8 4 8 4
b 3 7 19 15 8 9
c 23 41 11 23 41 11
d 39 24 15 36 52 36
e 231 79 51 399 159 18
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ?
? ? ? ? ? ?
   
14. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0 – 40 in three successive 
rounds. Which team scored more? Can we say that we can add integers in any 
order? 
15. Solve: 
(i)  
3
2
5
?  (ii) 
7
4
8
?         
 
16. Multiply and reduce to lowest form: 
 (i) 
3
7
5
? (ii)  
1
4
3
?         
 
 
 
 
 
 
Page 4


  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 4 
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. When two positive integers are added we get a __________ integer. 
A. Positive 
B. Negative 
C. Either positive or negative 
D. None of above 
 
2. A ____________ is a fraction that represents a part of a whole. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
3. On a number line when we add a positive integer…. 
A. we move to the left 
B. we move to the right  
C. we move to the origin  
D. we move away from origin 
 
4. An ___________ is a combination of whole and a proper fraction. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
5. Two vessels contain 20 litres and 60 litres of milk respectively. What is the amount 
that each vessel would have, if both share the milk equally? 
A. 50 
B. 40 
C. 30 
D. 20 
 
6. A ________ takes on different numerical values; its value is not fixed. 
A. Constant 
B. Variable 
C. Alphabets 
D. None of above 
 
7. A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55 
Calculate the mean runs scored by him in an inning. 
A. 45 
B. 46 
C. 47 
D. 48 
 
8. An __________ is a condition on a variable. The condition is that two expressions 
should have equal value. 
A. expression 
B. Identity 
C. equation 
D. None 
 
9.  When the sum of the measures of two angles is 90°, the angles are called…. 
A. Right angles 
B. Adjacent angles 
C. Supplementary angles 
D. Complementary angles 
 
10.  A _________ connects a vertex of a triangle to the mid-point of the opposite side. 
A. altitude 
B. median 
C. angle bisector 
D. perpendicular bisector 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
11. which of the following are not test of congruency 
A. SSS 
B. AAS 
C. SAS 
D. AAA 
 
12.  Find the ratio of 3 km to 300 m. 
A. 10 : 1 
B. 1 : 10 
C. 1 : 100 
D. 100 : 1 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. Use the sign of >, < or = in the box to make the statements true. 
? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ?
? ?
? ? ? ? ? ? ? ? ? ?
? ?
a 8 4 8 4
b 3 7 19 15 8 9
c 23 41 11 23 41 11
d 39 24 15 36 52 36
e 231 79 51 399 159 18
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ?
? ? ? ? ? ?
   
14. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0 – 40 in three successive 
rounds. Which team scored more? Can we say that we can add integers in any 
order? 
15. Solve: 
(i)  
3
2
5
?  (ii) 
7
4
8
?         
 
16. Multiply and reduce to lowest form: 
 (i) 
3
7
5
? (ii)  
1
4
3
?         
 
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
17. The marks (out of 100) obtained by a group of students in a science test are 85, 76, 
90, 85, 39, 48, 56, 95, 81 and 75. Find the: 
(i) Highest and the lowest marks obtained by the students. 
(ii) Range of the marks obtained. 
(iii) Mean marks obtained by the group. 
 
18.  The scores in mathematics test (out of 25) of 15 students is as follows: 
 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 
 Find the mode and median of this data. Are they same? 
 
19. Solve the following equations by trial and error method: 
 (i) 5p + 2 = 17 (ii) 3m – 14 = 4  
 
20. Solve the following equations 
             (i) 2q – 6 = 0 (ii) 2q + 6 = 0 
 
21. State the property that is used in each of the following statements? 
 (i) If a || b, then ? 1 = ? 5 
 (ii) If ? 4 = ? 6, then a || b 
            (iii) If ? 4 + ?5 = 180 ?, then a || b 
                                              
 
 
 
 
 
Page 5


  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
CBSE Board 
Class VII Mathematics 
Term I 
Sample Paper 4 
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. When two positive integers are added we get a __________ integer. 
A. Positive 
B. Negative 
C. Either positive or negative 
D. None of above 
 
2. A ____________ is a fraction that represents a part of a whole. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
3. On a number line when we add a positive integer…. 
A. we move to the left 
B. we move to the right  
C. we move to the origin  
D. we move away from origin 
 
4. An ___________ is a combination of whole and a proper fraction. 
A. improper fraction 
B. proper fraction  
C. mixed fraction 
D. None of above 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
5. Two vessels contain 20 litres and 60 litres of milk respectively. What is the amount 
that each vessel would have, if both share the milk equally? 
A. 50 
B. 40 
C. 30 
D. 20 
 
6. A ________ takes on different numerical values; its value is not fixed. 
A. Constant 
B. Variable 
C. Alphabets 
D. None of above 
 
7. A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55 
Calculate the mean runs scored by him in an inning. 
A. 45 
B. 46 
C. 47 
D. 48 
 
8. An __________ is a condition on a variable. The condition is that two expressions 
should have equal value. 
A. expression 
B. Identity 
C. equation 
D. None 
 
9.  When the sum of the measures of two angles is 90°, the angles are called…. 
A. Right angles 
B. Adjacent angles 
C. Supplementary angles 
D. Complementary angles 
 
10.  A _________ connects a vertex of a triangle to the mid-point of the opposite side. 
A. altitude 
B. median 
C. angle bisector 
D. perpendicular bisector 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
11. which of the following are not test of congruency 
A. SSS 
B. AAS 
C. SAS 
D. AAA 
 
12.  Find the ratio of 3 km to 300 m. 
A. 10 : 1 
B. 1 : 10 
C. 1 : 100 
D. 100 : 1 
Section B 
(Questions 13 to 24 carry 2 marks each) 
 
13. Use the sign of >, < or = in the box to make the statements true. 
? ? ? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ?
? ?
? ? ? ? ? ? ? ? ? ?
? ?
a 8 4 8 4
b 3 7 19 15 8 9
c 23 41 11 23 41 11
d 39 24 15 36 52 36
e 231 79 51 399 159 18
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ?
? ? ? ? ? ?
   
14. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0 – 40 in three successive 
rounds. Which team scored more? Can we say that we can add integers in any 
order? 
15. Solve: 
(i)  
3
2
5
?  (ii) 
7
4
8
?         
 
16. Multiply and reduce to lowest form: 
 (i) 
3
7
5
? (ii)  
1
4
3
?         
 
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
17. The marks (out of 100) obtained by a group of students in a science test are 85, 76, 
90, 85, 39, 48, 56, 95, 81 and 75. Find the: 
(i) Highest and the lowest marks obtained by the students. 
(ii) Range of the marks obtained. 
(iii) Mean marks obtained by the group. 
 
18.  The scores in mathematics test (out of 25) of 15 students is as follows: 
 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 
 Find the mode and median of this data. Are they same? 
 
19. Solve the following equations by trial and error method: 
 (i) 5p + 2 = 17 (ii) 3m – 14 = 4  
 
20. Solve the following equations 
             (i) 2q – 6 = 0 (ii) 2q + 6 = 0 
 
21. State the property that is used in each of the following statements? 
 (i) If a || b, then ? 1 = ? 5 
 (ii) If ? 4 = ? 6, then a || b 
            (iii) If ? 4 + ?5 = 180 ?, then a || b 
                                              
 
 
 
 
 
  
 
CBSE VII | Mathematics 
Sample Paper 4  
 
     
22. AM is a median of a triangle ABC. 
 Is AB + BC + CA > 2 AM? 
 (Consider the sides of triangles ?ABM and ?AMC.) 
 
 
23. In ?ABC, ?A = 30 ?, ?B = 40 ? and ?C = 110 ? 
 In ?PQR, ?P = 30 ?, ?Q = 40 ? and ?R = 110 ? 
A student says that ?ABC ? ?PQR by AAA congruence criterion. Is he justified? Why 
or why not? 
 
24. Out of 15, 000 voters in a constituency, 60% voted. Find the percentage of voters 
who did not vote. Can you now find how many actually did not vote? 
 
Section C 
(Questions 25 to 32 carry 3 marks each) 
 
25. An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts 
from 10 m above the ground level, how long will it take to reach – 350 m. 
26. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it 
cover in one litre of petrol?  
 
27. A coin is flipped to decide which team starts the game. What is the probability that 
your team will start? 
 
28. Solve the following: 
The teacher tells the class that the highest marks obtained by a student in her class 
is twice the lowest marks plus 7. The highest score is 87. What is the lowest score? 
 
 
 
 
 
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