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Class 7 Math: CBSE Sample Question Paper Term I - 3
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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.
Read MoreFAQs on Class 7 Math: CBSE Sample Question Paper Term I - 3
| 1. What topics are covered in CBSE Class 7 Math Term I sample question paper? |  |
Ans. The CBSE Class 7 Mathematics Term I sample question paper encompasses integers, fractions, decimals, data handling, simple equations, lines and angles, and basic geometry concepts. These topics form the foundation for understanding algebraic and geometric principles at this level. Students should focus on conceptual clarity and problem-solving skills to excel in exam assessments.
| 2. How do I solve integer problems quickly for Class 7 Math exams? | |
Ans. Integer operations follow the BODMAS rule: handle brackets first, then orders, division, multiplication, addition, and subtraction sequentially. Master sign rules-positive plus positive yields positive; negative plus negative yields negative. For mixed operations, convert word problems into mathematical expressions, then solve step-by-step. Practice mental arithmetic tricks to increase speed during timed assessments.
| 3. Why do students struggle with fractions and decimals in Class 7 sample papers? | |
Ans. Common confusion arises from comparing fractions with different denominators and converting between fractions and decimals. Students often forget to find lowest common multiples before adding or subtracting. The key is understanding place value in decimals and recognizing equivalent fractions. Using visual aids like fraction charts and decimal grids from study materials simplifies these concepts significantly.
| 4. What's the best way to approach data handling questions in CBSE Term I papers? | |
Ans. Data handling in Class 7 involves reading tables, interpreting bar graphs, and calculating mean, median, and mode. Always organise raw data systematically before analysis. For pictographs and pie charts, identify the scale carefully. Mean requires summing all values and dividing by frequency; median finds the middle value when arranged in order. Practise with real-world datasets to build confidence.
| 5. How can I master simple equations and algebraic expressions for Class 7 assessments? | |
Ans. Simple equations require isolating the variable by performing inverse operations on both sides equally. Translate word problems into algebraic expressions methodically-identify unknowns, write relationships, then solve. Common mistakes include forgetting to reverse inequality signs or miscalculating negative coefficients. Work through varied problem types systematically and refer to mind maps and flashcards for quick concept reinforcement during revision.
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