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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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FAQs on Class 7 Math: CBSE Sample Question Paper Term I - 3 - Mathematics (Maths) Class 7

1. What is the format of the CBSE Class 7 Math Sample Question Paper for Term I?
Ans. The CBSE Class 7 Math Sample Question Paper for Term I follows the format prescribed by the CBSE board. It consists of multiple-choice questions, short answer questions, and long answer questions. The paper is divided into different sections, each covering specific topics from the syllabus.
2. How can I prepare effectively for the CBSE Class 7 Math exam?
Ans. To prepare effectively for the CBSE Class 7 Math exam, you can follow these steps: 1. Understand the syllabus and exam pattern. 2. Create a study schedule and allocate time for each topic. 3. Practice solving sample question papers and previous years' question papers. 4. Refer to textbooks, study guides, and online resources for additional practice. 5. Clear your doubts by seeking help from teachers or classmates. 6. Revise regularly and make concise notes for important topics.
3. Are there any specific topics that I should focus on while preparing for the CBSE Class 7 Math exam?
Ans. Yes, there are a few important topics that you should focus on while preparing for the CBSE Class 7 Math exam. These include: 1. Integers and Rational Numbers 2. Fractions and Decimals 3. Algebraic Expressions and Equations 4. Geometry (Lines and Angles, Triangles, Quadrilaterals) 5. Data Handling (Bar Graphs, Pie Charts, Mean, Median, Mode) 6. Practical Geometry (Construction of Triangles, Circles, etc.) 7. Mensuration (Perimeter, Area, Volume) 8. Probability
4. How can I improve my problem-solving skills for the CBSE Class 7 Math exam?
Ans. Improving problem-solving skills for the CBSE Class 7 Math exam requires practice and understanding of concepts. Here are a few tips to enhance your problem-solving skills: 1. Understand the problem statement carefully and identify the given information. 2. Break down complex problems into smaller, manageable steps. 3. Use appropriate mathematical formulas, theorems, and methods to solve the problem. 4. Practice solving a variety of problems from different topics. 5. Analyze your mistakes and learn from them. 6. Seek guidance from your teacher or classmates for difficult problems. 7. Regularly solve sample question papers and previous years' question papers to gain confidence.
5. Are there any online resources available for CBSE Class 7 Math exam preparation?
Ans. Yes, there are several online resources available for CBSE Class 7 Math exam preparation. Some popular ones include: 1. NCERT official website: Provides access to NCERT textbooks, solutions, and supplementary materials. 2. Online learning platforms: Websites like Khan Academy, BYJU'S, and Vedantu offer interactive video lessons, practice exercises, and quizzes. 3. Educational YouTube channels: Channels like "Math Antics," "Study with Sudhir," and "Maths By RS Aggarwal" provide comprehensive math lessons. 4. Mobile apps: Apps like "Math Tricks," "Mathway," and "Maths Formulas Free" offer math problem-solving tools, formulas, and practice questions. 5. Online forums and communities: Platforms like Stack Exchange and Quora have dedicated sections for discussing math problems and clarifying doubts.
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