7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme E - Understanding Market - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme E - From Barter to Money - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - The Constitution of India- An Introduction - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - From the Rulers to the Ruled : Types of Governments - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Age of Reorganisation - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Rise of Empires - New Sample Question Papers Study Material - QB365 Set A
Published on: 31/10/2025
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
If P = -2, then find the value of -3p2 + 4p + 7.
2.
For a pyramid there are 4 faces and 4 vertices. Find the number of edges.
3.
What is the vertical cross-section (slice) of a cylinder, if it is placed on one of its circular faces?
4.
If a cone is cut from the top horizontally, then which 2-D figure will be seen?
5.
How many vertices does a cone have?
6.
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
7.
Using Euler's formula find the unknown.
| (i) | (ii) | (iii) | |
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
8.
Draw the net of a square pyramid with base as square of side 4 cm and slant edges 6 cm.
9.
Draw a net of a cuboid having same breadth and height but length double the breadth
10.
For a polyhedron, if 'F' stands for number of faces, V stands for number of vertices and E stands for number of edges, then which of the following relationships is named as Euler's formula?
F + V = E + 2
F + E = V + 2
V + E = F + 2
F + V = E - 2
11.
The name of the shape is
sphere
cylinder
cone
triangle.
12.
The number of edges of the solid shape is
16
9
6
4
13.
A full-turn means a rotation of
90°
180°
270°
360°
14.
Three cubes each with 2 cm edge are placed side by side to form a cuboid. Breadth of the resultant cuboid is:
2 cm
3 cm
4 cm
6 cm
15.
Number of vertices of a triangular prism are:
4
6
8
10
16.
The shadow of a cone, when seen under the lamp of an overhead projector is
Square
Rectangle
Circle
Triangle
17.
Which of the following 3-dimensional figures has the top, side and front as triangles?
18.
If we rotate a right angled triangle of height 5 cm and base 3 cm about its height a full turn, we get
cone of height 5 cm, base diameter 3 cm
triangle of height 5 cm, base diameter 3 cm
cone of height 5 cm, base diameter 6 cm
triangle of height 5 cm, base diameter 6 cm
19.
Out of the following, which is a 3-D figure?
Square
Sphere
Triangle
Circle
20.
Sum of 3x2-1 and -x2+ 1is
21.
A triangular pyramid has____________ vertex or vertices. [one/four]
22.
The net of a solid consists of three rectangles and two triangles. It may be the net of a _________ [pyramid/triangular prism]
23.
Out of ------ faces of a triangular prism, ------ are rectangles and ----- are triangles.
24.
The common portion of two adjacent faces of a cuboid is called a/an-----
25.
Find the number of edges of a solid having 6 faces and 8 vertices.
26.
How many faces are there in a tetrahedron?
27.
What is the value of 10x2- 10 at x = -10?
28.
If two cubes of dimensions 3 cm x 3 cm x 3 cm are placed one above the other, what would the dimensions of the resulting cuboid be?
29.
How many vertices are there in a pentagonal pyramid?
1.
-13
2.
For a pyramid, faces and vertices are given by
F-E+V=2
4 - E + 4 = 2 (F = 4 and V = 4)
\(\Rightarrow\) 8-E=2
\(\Rightarrow\)E=8-2=6
Hence, there are 6 edges.
3.
It will be a rectangle.
4.
Circle
5.
One
6.
Here F = 10
E = 20
V = 15
So, F + V = 10 + 15 = 25
E + 2 = 20 + 2 = 22
\(\because\) F + V \(\neq \) E + 2
\(\therefore\) Such a polyhedron is not possible.
7.
F + V = E + 2
\(\Rightarrow\) F + 6 = 12 + 2
\(\Rightarrow\) F + 6 = 14
\(\Rightarrow\) F = 14 - 6 = 8
(ii) F + V = E + 2
\(\Rightarrow\) 5 + V = 9 + 2
\(\Rightarrow\) 5 + V = 11
\(\Rightarrow\) V = 11 - 5 = 6
(iii) F + V = E + 2
\(\Rightarrow\) 20 + 12 = E + 2
\(\Rightarrow\) 32 = E + 2
\(\Rightarrow\) E = 32 - 2
\(\Rightarrow\) E = 30
8.
The net of such square pyramid will be
9.
Required net of a cuboid will be
10.
(a)
F + V = E + 2
11.
(c)
cone
12.
(a)
16
13.
(d)
360°
14.
(a)
2 cm
15.
(b)
6
16.
(a)
Square
17.
(c)
18.
(c)
cone of height 5 cm, base diameter 6 cm
19.
(b)
Sphere
20.
( )
2x2
21.
( )
four
22.
( )
triangular prism
23.
( )
Out of 5 faces of a triangular prism, 3 are rectangles and
2 are triangles.
24.
( )
edge.
25.
( )
12
26.
( )
4
27.
( )
990
28.
( )
Length = 3 cm, breadth = 3 cm, height = 6 cm.
29.
( )
six
7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme B - New Beginnings : Cities and States - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Climates of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Geographical Diversity of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Science Earth, Moon and the Sun - New Sample Question Papers Study Material - QB365 Set A
NCERT Books
Syllabus
Exam Pattern
Sample Question Papers
Previous year Question Papers
Important Notes
MCQ Practice test
NCERT Exemplers
Case study Questions
Image Based Questions
Passage based Questions
HOT Questions
Value Based Questions
Model Questions Papers
NCERT ( Book Back ) Questions
Assertion and Reason
Important Questions And Answers
CBSE 7th Standard CBSE Subjects
CBSE Standards
