CBSE Class 7 > Class 7 Notes > Sample Papers For > Class 7 Math: Sample Question Paper – 5
Class 7 Math: Sample Question Paper – 5
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Page 1 of 4
MATHEMATICS
CLASS 7
Max. Marks: 90
Instructions:
1. This paper consists of four sections.
2. Section A has 15 Multiple Choice Questions and each carries 1 mark.
3. Section B has 11 questions, each question carries 2 marks.
4. Section C has 11 questions, each question carries 3 marks.
5. Section D has 5 questions, each question carries 4 marks.
6. Use of calculators in not permitted.
SECTION- A
(Multiple choice questions i to xv carry 1 mark each)
i. The standard form of
36
-24
is
a)
2
3
b)
2
3 -
c)
3
2
d)
3
2 -
ii. The product of = ?
?
?
?
?
? -
×
4
7
2
9
a)
2
63 -
b)
63
8 -
c)
7
18 -
d)
8
63 -
iii. The circumference of a circle with diameter 7 cm is
a) 22 cm b) 44 cm c) 154 cm d) 37.5 cm
iv. One hectare is equal to_______ m
2
a) 100 m
2
b) 1000 m
2
c) 10000 m
2
d) 100000 m
2
v. If m = 2 then, 3m – 5 =
a) 0 b) 1 c) -1 d) 11
vi. 2
0
+ 3
0
+ 4
0
=
a) 1 b) 0 c) 3 d) 24
vii. A regular pentagon has _____ lines of symmetry
a) 5 b) 6 c) 4 d) 8
viii. The angle of rotation of an equilateral triangle is
a) 60
0
b) 120
0
c) 360
0
d) 90
0
ix. 15% of 600 =
a) 15 b) 900 c) 90 d) 9000
x. If P is principal, R is rate percent, T is time period and I is simple interest then
formula for finding R = _______
a)
100 I
PT
b)
PT
100 I
c)
100T
PI
d)
100P
IT
Page 2
Page 1 of 4
MATHEMATICS
CLASS 7
Max. Marks: 90
Instructions:
1. This paper consists of four sections.
2. Section A has 15 Multiple Choice Questions and each carries 1 mark.
3. Section B has 11 questions, each question carries 2 marks.
4. Section C has 11 questions, each question carries 3 marks.
5. Section D has 5 questions, each question carries 4 marks.
6. Use of calculators in not permitted.
SECTION- A
(Multiple choice questions i to xv carry 1 mark each)
i. The standard form of
36
-24
is
a)
2
3
b)
2
3 -
c)
3
2
d)
3
2 -
ii. The product of = ?
?
?
?
?
? -
×
4
7
2
9
a)
2
63 -
b)
63
8 -
c)
7
18 -
d)
8
63 -
iii. The circumference of a circle with diameter 7 cm is
a) 22 cm b) 44 cm c) 154 cm d) 37.5 cm
iv. One hectare is equal to_______ m
2
a) 100 m
2
b) 1000 m
2
c) 10000 m
2
d) 100000 m
2
v. If m = 2 then, 3m – 5 =
a) 0 b) 1 c) -1 d) 11
vi. 2
0
+ 3
0
+ 4
0
=
a) 1 b) 0 c) 3 d) 24
vii. A regular pentagon has _____ lines of symmetry
a) 5 b) 6 c) 4 d) 8
viii. The angle of rotation of an equilateral triangle is
a) 60
0
b) 120
0
c) 360
0
d) 90
0
ix. 15% of 600 =
a) 15 b) 900 c) 90 d) 9000
x. If P is principal, R is rate percent, T is time period and I is simple interest then
formula for finding R = _______
a)
100 I
PT
b)
PT
100 I
c)
100T
PI
d)
100P
IT
SA2QP071303 Total number of printed pages: 4
Page 2 of 4
xi. The English alphabet F has
a) Horizontal symmetry b) Vertical symmetry
c) both horizontal and vertical symmetry d) None of them.
xii. The centre of rotation of symmetry for a square is
a) mid point of its base b) any of its corner
c) point of intersection of its diagonals c) None of the above.
xiii. ( - 1 )
13
=
a) (- 1 ) b) 1 c) 0 d) infinite
xiv. The expanded form of 2.357 x 10
4
=
a) 2357 b) 23570 c) 0.02357 d) 0.002357
xv. The coefficient of ‘x ‘ in 5xyz is
a) 5 b) xyz c) 5yz d) yz
SECTION-B
(Questions 2 to 12 carry 2 marks each)
2. Represent
9
5
on number line.
3. The diameter of a wheel is 70cm. Find the distance (in meters), it covers in 300
rotations.
4. Juhi sells a washing machine for Rs.14,400. She loses 20% in this bargain. What
was the price at which she bought it ?
5. Draw a line AB and take a point C outside it. Through C draw a line parallel to AB
using ruler and compasses only.
6. Express the following numbers in standard form :
i) 1,27,00,000 ii) 3908.78
7. Give the order of rotation of the following figures.
a) b)
Page 3
Page 1 of 4
MATHEMATICS
CLASS 7
Max. Marks: 90
Instructions:
1. This paper consists of four sections.
2. Section A has 15 Multiple Choice Questions and each carries 1 mark.
3. Section B has 11 questions, each question carries 2 marks.
4. Section C has 11 questions, each question carries 3 marks.
5. Section D has 5 questions, each question carries 4 marks.
6. Use of calculators in not permitted.
SECTION- A
(Multiple choice questions i to xv carry 1 mark each)
i. The standard form of
36
-24
is
a)
2
3
b)
2
3 -
c)
3
2
d)
3
2 -
ii. The product of = ?
?
?
?
?
? -
×
4
7
2
9
a)
2
63 -
b)
63
8 -
c)
7
18 -
d)
8
63 -
iii. The circumference of a circle with diameter 7 cm is
a) 22 cm b) 44 cm c) 154 cm d) 37.5 cm
iv. One hectare is equal to_______ m
2
a) 100 m
2
b) 1000 m
2
c) 10000 m
2
d) 100000 m
2
v. If m = 2 then, 3m – 5 =
a) 0 b) 1 c) -1 d) 11
vi. 2
0
+ 3
0
+ 4
0
=
a) 1 b) 0 c) 3 d) 24
vii. A regular pentagon has _____ lines of symmetry
a) 5 b) 6 c) 4 d) 8
viii. The angle of rotation of an equilateral triangle is
a) 60
0
b) 120
0
c) 360
0
d) 90
0
ix. 15% of 600 =
a) 15 b) 900 c) 90 d) 9000
x. If P is principal, R is rate percent, T is time period and I is simple interest then
formula for finding R = _______
a)
100 I
PT
b)
PT
100 I
c)
100T
PI
d)
100P
IT
SA2QP071303 Total number of printed pages: 4
Page 2 of 4
xi. The English alphabet F has
a) Horizontal symmetry b) Vertical symmetry
c) both horizontal and vertical symmetry d) None of them.
xii. The centre of rotation of symmetry for a square is
a) mid point of its base b) any of its corner
c) point of intersection of its diagonals c) None of the above.
xiii. ( - 1 )
13
=
a) (- 1 ) b) 1 c) 0 d) infinite
xiv. The expanded form of 2.357 x 10
4
=
a) 2357 b) 23570 c) 0.02357 d) 0.002357
xv. The coefficient of ‘x ‘ in 5xyz is
a) 5 b) xyz c) 5yz d) yz
SECTION-B
(Questions 2 to 12 carry 2 marks each)
2. Represent
9
5
on number line.
3. The diameter of a wheel is 70cm. Find the distance (in meters), it covers in 300
rotations.
4. Juhi sells a washing machine for Rs.14,400. She loses 20% in this bargain. What
was the price at which she bought it ?
5. Draw a line AB and take a point C outside it. Through C draw a line parallel to AB
using ruler and compasses only.
6. Express the following numbers in standard form :
i) 1,27,00,000 ii) 3908.78
7. Give the order of rotation of the following figures.
a) b)
SA2QP071303 Total number of printed pages: 4
Page 3 of 4
8. The two sides of a parallelogram ABCD are AB = 6cm and AD = 4cm.The height
corresponding to base CD is 3cm. Find height corresponding to base AD.
9. Simplify the expression and find its value at x = 1.
x + 7 + 4 ( x – 5 )
10. Express 768 as the product of prime factors in exponential form.
11. State the number of lines of symmetry for the following figures.
a) Isosceles triangle. b) Circle.
12. Add : 5a + 6b – 2c , 3c – 5a + 2b and -7c + 2a.
SECTION – C
(Questions 13 to 23 carry 3 marks each)
13. Give nets for the following shapes : a) Cube b) Cylinder c) Tetrahedron
14. Complete the following figures using the line of symmetry.
a) b) c)
15. Simplify and express the result in exponential form.
a)
32 3
4 3 2
4 3
×
× ×
b)
3 4
7
3 3
3
×
Page 4
Page 1 of 4
MATHEMATICS
CLASS 7
Max. Marks: 90
Instructions:
1. This paper consists of four sections.
2. Section A has 15 Multiple Choice Questions and each carries 1 mark.
3. Section B has 11 questions, each question carries 2 marks.
4. Section C has 11 questions, each question carries 3 marks.
5. Section D has 5 questions, each question carries 4 marks.
6. Use of calculators in not permitted.
SECTION- A
(Multiple choice questions i to xv carry 1 mark each)
i. The standard form of
36
-24
is
a)
2
3
b)
2
3 -
c)
3
2
d)
3
2 -
ii. The product of = ?
?
?
?
?
? -
×
4
7
2
9
a)
2
63 -
b)
63
8 -
c)
7
18 -
d)
8
63 -
iii. The circumference of a circle with diameter 7 cm is
a) 22 cm b) 44 cm c) 154 cm d) 37.5 cm
iv. One hectare is equal to_______ m
2
a) 100 m
2
b) 1000 m
2
c) 10000 m
2
d) 100000 m
2
v. If m = 2 then, 3m – 5 =
a) 0 b) 1 c) -1 d) 11
vi. 2
0
+ 3
0
+ 4
0
=
a) 1 b) 0 c) 3 d) 24
vii. A regular pentagon has _____ lines of symmetry
a) 5 b) 6 c) 4 d) 8
viii. The angle of rotation of an equilateral triangle is
a) 60
0
b) 120
0
c) 360
0
d) 90
0
ix. 15% of 600 =
a) 15 b) 900 c) 90 d) 9000
x. If P is principal, R is rate percent, T is time period and I is simple interest then
formula for finding R = _______
a)
100 I
PT
b)
PT
100 I
c)
100T
PI
d)
100P
IT
SA2QP071303 Total number of printed pages: 4
Page 2 of 4
xi. The English alphabet F has
a) Horizontal symmetry b) Vertical symmetry
c) both horizontal and vertical symmetry d) None of them.
xii. The centre of rotation of symmetry for a square is
a) mid point of its base b) any of its corner
c) point of intersection of its diagonals c) None of the above.
xiii. ( - 1 )
13
=
a) (- 1 ) b) 1 c) 0 d) infinite
xiv. The expanded form of 2.357 x 10
4
=
a) 2357 b) 23570 c) 0.02357 d) 0.002357
xv. The coefficient of ‘x ‘ in 5xyz is
a) 5 b) xyz c) 5yz d) yz
SECTION-B
(Questions 2 to 12 carry 2 marks each)
2. Represent
9
5
on number line.
3. The diameter of a wheel is 70cm. Find the distance (in meters), it covers in 300
rotations.
4. Juhi sells a washing machine for Rs.14,400. She loses 20% in this bargain. What
was the price at which she bought it ?
5. Draw a line AB and take a point C outside it. Through C draw a line parallel to AB
using ruler and compasses only.
6. Express the following numbers in standard form :
i) 1,27,00,000 ii) 3908.78
7. Give the order of rotation of the following figures.
a) b)
SA2QP071303 Total number of printed pages: 4
Page 3 of 4
8. The two sides of a parallelogram ABCD are AB = 6cm and AD = 4cm.The height
corresponding to base CD is 3cm. Find height corresponding to base AD.
9. Simplify the expression and find its value at x = 1.
x + 7 + 4 ( x – 5 )
10. Express 768 as the product of prime factors in exponential form.
11. State the number of lines of symmetry for the following figures.
a) Isosceles triangle. b) Circle.
12. Add : 5a + 6b – 2c , 3c – 5a + 2b and -7c + 2a.
SECTION – C
(Questions 13 to 23 carry 3 marks each)
13. Give nets for the following shapes : a) Cube b) Cylinder c) Tetrahedron
14. Complete the following figures using the line of symmetry.
a) b) c)
15. Simplify and express the result in exponential form.
a)
32 3
4 3 2
4 3
×
× ×
b)
3 4
7
3 3
3
×
SA2QP071303 Total number of printed pages: 4
Page 4 of 4
16. What should be the value of ‘a’ if the value of 2x
2
+ x – a equals to 5 when x = 1?
17. Classify into monomials, Binomials and Trinomials
a) 4y – z b) 100 c) z
2
– 3 z + 8 d) 7mn e) 2a – a + b f) x + 3y – 4z
18. A circular flower bed is surrounded by a path 4m wide. The diameter of the flower
bed is 66m. What is the area of this path? ( p =
7
22
).
19. Find the value of a)
24
13
12
7
- b) (
5
3 -
) ÷ 2
20. Find five rational numbers between
2
1
and
3
2
21. The population of a city decreased from 25,000 to 24,500. Find the percentage
decrease.
22. Find the fraction of shaded portion in the given figures and write in percentage.
23. Construct an equilateral triangle of side 5.5cm. Measure each of its angles.
Section – D
(Questions 24 to 28 carry 4 marks each)
24. Find the amount to be paid at the end of 2 ½ years if a sum of Rs 7,600 is borrowed
at the rate of 5% per annum.
25. Simplify: a)
3
1
2
5
3
4 - b)
9
2
3 )
9
1
2 ( ÷ - 4 | Page
26. Construct a right triangle ABC right angled at B. Given AC = 7cm and AB = 3cm.
Measure the length of the other side.
27. A path 5m wide runs along inside a square park of side 100 m. Find the area of the
path. Also find the cost of cementing it at the rate of Rs 250 per 10m
2
.
28. From the sum of 3x – y + 11 and (–y) – 11 subtract 3x – y – 11.
A C B
Read MoreFAQs on Class 7 Math: Sample Question Paper – 5
| 1. What types of questions are usually asked in Class 7 Math sample papers for CBSE exams? |  |
Ans. Class 7 Math sample papers typically include multiple-choice questions, short answer problems, and long answer sections covering integers, fractions, decimals, geometry, algebra, and data handling. These question types help students understand the exam format and assess their problem-solving skills across all major mathematical concepts tested at this level.
| 2. How should I manage time while solving a Class 7 Math sample question paper? | |
Ans. Allocate time based on question marks: spend less time on single-mark questions and reserve more for multi-mark problems requiring detailed solutions. Read all questions first, attempt easier ones to build confidence, then tackle harder problems. This strategy helps Class 7 students maximize their score and avoid getting stuck on difficult sections.
| 3. What are the most common mistakes students make in Class 7 Math sample papers? | |
Ans. Common errors include calculation mistakes in algebraic expressions, misinterpreting geometry diagrams, incorrect handling of negative integers, and careless arithmetic in data interpretation questions. Students often skip showing steps, leading to lost marks even when answers are correct. Practising sample papers regularly helps identify and eliminate these recurring mistakes.
| 4. Why do Class 7 Math sample papers include word problems and real-world applications? | |
Ans. Word problems develop critical thinking and help students connect mathematical concepts to everyday situations like profit-loss, distance-speed, and ratio applications. These questions in sample papers teach practical problem-solving and improve comprehension skills, which are essential for scoring well in final exams beyond rote memorization.
| 5. How can I use Class 7 Math sample papers to prepare effectively for my exams? | |
Ans. Solve sample papers under timed conditions to simulate actual exam pressure, then review mistakes thoroughly. Identify weak topics, refer to mind maps and flashcards for quick concept revision, and attempt multiple papers to build confidence. This systematic approach using sample question papers significantly improves performance and reduces exam anxiety.
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