CBSE Class 7 > Class 7 Notes > Sample Papers For > Class 7 Math: Sample Question Paper – 7
Class 7 Math: Sample Question Paper – 7
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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 – 7
| 1. What topics are covered in Class 7 Math sample question paper 7? |  |
Ans. Class 7 Math sample question paper 7 typically covers integers, fractions, decimals, algebraic expressions, equations, geometry basics, data handling, and mensuration. The paper tests conceptual understanding across multiple domains taught throughout the curriculum. Students should review all major topics systematically to identify weak areas and strengthen their problem-solving skills before exams.
| 2. How can I use sample papers to improve my CBSE Class 7 Math exam performance? | |
Ans. Sample papers help students practise time management, identify frequently asked question types, and build confidence before actual exams. Solving these papers under timed conditions reveals knowledge gaps and strengthens speed and accuracy. Regular practise with varied question formats enables students to attempt different difficulty levels effectively during board assessments.
| 3. What's the difference between one-mark, two-mark, and four-mark questions in Class 7 Math sample papers? | |
Ans. One-mark questions test basic recall and definitions; two-mark questions require short explanations or single calculations; four-mark questions demand detailed solutions with multiple steps. Understanding this marking scheme helps students allocate time wisely during exams and structure answers appropriately for maximum marks based on question complexity and weightage.
| 4. Why am I struggling with word problems in Class 7 Math sample question papers? | |
Ans. Word problems require translating language into mathematical expressions, identifying relevant information, and eliminating distractors. Many students skip steps or misread conditions. Break problems into smaller parts, underline key data, define variables clearly, and verify answers logically. Refer to mind maps and visual worksheets on EduRev to understand problem-solving strategies systematically and boost comprehension.
| 5. How should I solve geometry and mensuration questions from Class 7 Math sample papers without making calculation errors? | |
Ans. Geometry and mensuration errors often stem from misidentifying shapes, using wrong formulas, or arithmetic mistakes. Always draw diagrams, label dimensions clearly, write formulas before substituting values, and double-check unit conversions. Practice using flashcards for geometry formulas and work through varied examples to build accuracy and confidence in spatial reasoning applications.
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