CBSE Class 7 > Class 7 Notes > Sample Papers For > Class 7 Math: Sample Question Paper – 10
Class 7 Math: Sample Question Paper – 10
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Page 1
SUBJECT: MATHEMATICS
CLASS : VII
SECTION – A (MCQ) (½x8=4)
1. Place value of 3 in decimal number 94.134 is
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle.
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
SECTION – B (1x6=6)
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
Page 2
SUBJECT: MATHEMATICS
CLASS : VII
SECTION – A (MCQ) (½x8=4)
1. Place value of 3 in decimal number 94.134 is
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle.
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
SECTION – B (1x6=6)
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
SECTION – C (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find- a) ) 30 ( ) 21 ( ? ? ? b) ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method) : 17 2 3 ? ? x
20. a) 18 ) 3 ( 4 ? ? m b) 36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____ iii) F E = ____ iv) F D = ____
24. Given that , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
and R ? .
SECTION – D (3x10=30)
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded
for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
Page 3
SUBJECT: MATHEMATICS
CLASS : VII
SECTION – A (MCQ) (½x8=4)
1. Place value of 3 in decimal number 94.134 is
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle.
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
SECTION – B (1x6=6)
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
SECTION – C (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find- a) ) 30 ( ) 21 ( ? ? ? b) ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method) : 17 2 3 ? ? x
20. a) 18 ) 3 ( 4 ? ? m b) 36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____ iii) F E = ____ iv) F D = ____
24. Given that , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
and R ? .
SECTION – D (3x10=30)
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded
for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
26 . a)
7
2
1
5
1
3 ? b)
5
3
7
4
3 ?
27.
4
3
12 liters of milk was poured equally into 7 small containers. How much milk will be there in each containers?
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 teacher and what is the importance of teachers in your life.
29. Raju’s fathers age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
OR
Irfan scored twice as many runs as Rajat. Together, their runs fell two short of a double century. How many
runs did each one score?
30. In figure l ll m and‘t’ is a transversal. Find the values of angles x,y,z and write reasons.
OR
In the figure, lines l and m are intersected by transversal n, find
i. Alternate angles to angles 3 and 4
ii. Corresponding angles to angles 6 and 8
iii. Pair of interior angles on the same side of transversal
31. ABC ? is right-angled at C. If , 5cm AC ? . 12cm BC ? Find the length of . AB
32. Am is a median of a triangle . ABC
Is AM CA BC AB 2 ? ? ? (Explain why)
OR
A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the
base of the tree. Find the original height of the tree.
33. Maximum and minimum temperatures on a day at 5 different places in India are given below. Show them on the
bar graph.
City Delhi Chennai Amritsar Kolkata Mumbai
Max temp in
0
C 33 33 31 30 29
Min temp in
0
C 25 28 25 20 22
m
l
120
0
z
y
x
8
7
6
5
4 3
2
1
Page 4
SUBJECT: MATHEMATICS
CLASS : VII
SECTION – A (MCQ) (½x8=4)
1. Place value of 3 in decimal number 94.134 is
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle.
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
SECTION – B (1x6=6)
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
SECTION – C (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find- a) ) 30 ( ) 21 ( ? ? ? b) ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method) : 17 2 3 ? ? x
20. a) 18 ) 3 ( 4 ? ? m b) 36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____ iii) F E = ____ iv) F D = ____
24. Given that , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
and R ? .
SECTION – D (3x10=30)
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded
for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
26 . a)
7
2
1
5
1
3 ? b)
5
3
7
4
3 ?
27.
4
3
12 liters of milk was poured equally into 7 small containers. How much milk will be there in each containers?
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 teacher and what is the importance of teachers in your life.
29. Raju’s fathers age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
OR
Irfan scored twice as many runs as Rajat. Together, their runs fell two short of a double century. How many
runs did each one score?
30. In figure l ll m and‘t’ is a transversal. Find the values of angles x,y,z and write reasons.
OR
In the figure, lines l and m are intersected by transversal n, find
i. Alternate angles to angles 3 and 4
ii. Corresponding angles to angles 6 and 8
iii. Pair of interior angles on the same side of transversal
31. ABC ? is right-angled at C. If , 5cm AC ? . 12cm BC ? Find the length of . AB
32. Am is a median of a triangle . ABC
Is AM CA BC AB 2 ? ? ? (Explain why)
OR
A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the
base of the tree. Find the original height of the tree.
33. Maximum and minimum temperatures on a day at 5 different places in India are given below. Show them on the
bar graph.
City Delhi Chennai Amritsar Kolkata Mumbai
Max temp in
0
C 33 33 31 30 29
Min temp in
0
C 25 28 25 20 22
m
l
120
0
z
y
x
8
7
6
5
4 3
2
1
34. Are the 2 triangles congruent in the following figure. If yes, mention the congruence
conditions and write the congruence of 2 triangles in symbolic form.
35
0
5.3cm
5.3cm
3.5cm
3.5cm
B
A
O
D
C
35
0
Read MoreFAQs on Class 7 Math: Sample Question Paper – 10
| 1. What topics are covered in Class 7 Math sample question paper 10? |  |
Ans. Class 7 Math sample question paper 10 typically includes integers, fractions, decimals, algebraic expressions, geometry fundamentals, data handling, and mensuration. The paper assesses conceptual understanding across multiple chapters using mixed-difficulty questions. Students should review each unit thoroughly to identify which areas need focused revision before attempting the complete sample paper.
| 2. How do I solve word problems on ratio and proportion in CBSE Class 7 Math? | |
Ans. Word problems on ratio and proportion require identifying given quantities, setting up the proportion correctly, and cross-multiplying to find unknowns. Read carefully to distinguish between direct and inverse proportions. Practice converting real-world scenarios into mathematical statements. Refer to mind maps and flashcards available on EduRev to strengthen your understanding of proportion concepts and common problem patterns.
| 3. Why am I getting different answers for algebraic expression questions? | |
Ans. Algebraic expression errors commonly stem from incorrect term collection, sign mistakes during simplification, or misapplying distributive property. Double-check that you're combining only like terms and managing positive/negative signs carefully. Use worksheets with detailed solutions to identify where your method diverges. Many students overlook coefficient rules-revisit this frequently before exams.
| 4. What's the difference between perimeter and area in Class 7 geometry questions? | |
Ans. Perimeter measures the total distance around a shape's boundary (added side lengths), while area measures the space enclosed inside (square units). A rectangle with length 5cm and width 3cm has perimeter 16cm but area 15cm². These are distinct calculations requiring different formulas. Visual worksheets and PPTs help clarify this fundamental distinction that appears repeatedly in sample papers.
| 5. How do I organize data handling and probability concepts for better exam scores? | |
Ans. Data handling requires understanding mean, median, mode, and range calculations systematically. Probability questions test likelihood understanding through ratios. Create flashcards separating statistical measures from probability concepts to avoid confusion. Practice interpreting bar graphs and pie charts alongside numerical calculations. Using mind maps to visualize connections between data representation methods strengthens retention and exam performance significantly.
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