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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
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1.
Identity the nets which can be used to make cubes (cut-out copies of the nets and try it).
2.
If a cone of base radius 3 cm is placed on a cylinder of base radius 3 cm, then how many faces will the resultant figure have?
3.
If a cone is cut from the top horizontally, then which 2-D figure will be seen?
4.
Use isometric dot paper and make an isometric sketch for each one of the given shapes
5.
Draw an isometric sketch of a square pyramid.
6.
Draw an isometric sketch of a rectangular pyramid.
7.
Count the number of cubes in the following figures.
8.
Write the number of faces, edges and vertices in the solids given below:
Triangular pyramid
9.
Answer the following:
(a)Which pyramid is called tetrahedron?
(b)How many vertices are there in a pentagonal pyramid?
10.
For a pyramid there are 4 faces and 4 vertices. Find the number of edges.
11.
If P = -2, then find the value of -3p2 + 4p + 7.
12.
Find the value of [(52)3 x 54] \(\div \) 57
13.
Draw the front view, side view and top view of the given objects.
A dice

14.
Is it possible to have a polyhedron with any given number of faces?
15.
(i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?
1.
In the given figures, nets (ii), (iii), (iv) and (vi) can be used to make cubes.
2.
Three
3.
Circle
4.
An isometric sketch for each one of the given shape are as follow:
5.
6.
7.
Here, the number of cubes is 32
8.
The number of faces in triangular pyramid = 4
The number of edges in triangular pyramid = 6
The number of vertices in triangular pyramid = 4
9.
(a) Triangular pyramid
(b) six
10.
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.
11.
-13
12.
125
13.

14.
Possible, only if the number of faces is greater than or equal to 4.
15.
(i) The prisms and cylinder, both, have their base and top faces as congruent and parallel to each other. Also, a prism becomes a cylinder as the number of sides of its base becomes larger and larger.
(ii) The pyramids and cones are alike in the sense that their lateral faces meet at a point (called vertex). Also, a pyramid becomes a cone as the number of sides of its base becomes larger and larger.
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