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S.S.M.
e LEARNING ACADEMY
(under the auspices of SSMET)
GEOMETRY
QUESTION BANK
I. Choose the correct answer:
1. The shape of a tennis ball
2. The shape of a match box
is __________. (circle, sphere)
is __________. (cube, cuboid)
3. The number of surfaces of a solid cone
4. These 2 photos
is ____. (1, 2)
of the same person are ____________.
(congruent, similar)
5. The shape of the coin
6. A die
is ____________. (circle, cylinder)
marked with 1, 2, 3, 4, 5 and 6 dots on its faces is a
_______________. (cube, cuboid)
7. The number of triangles that can be seen here is ____. (4, 5)
8. This greeting card
9. The shape
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is ____________. (a rectangle, a square)
M is ___________ figure. (an open, a closed)
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10. The base of a
_________ and its top are of same size.
cone, cylinder
11. There is no vertex for ________________.
cone,
12. The bottle cap
sphere
is almost the shape of a ________.
(cylinder, circle)
13. The shape of a protractor
14. The shape of the brick
is a _____________. (semicircle, circle)
is almost a ____________.
(cylinder, cuboid)
15. The surface of a computer CD
(compact Disk) is _________.
(flat, curved)
16. The alphabet “
17. A bangle
r ” is ____________ curve. (an open, a closed)
represents a _______________ figure. (a closed, an open)
18. To pack sweets of spherical shape like „laddus‟ in a cuboid
box, with no gaps.________________ (possible, not possible)
19. The number of surfaces of a sliced lemon
is _____. (1, 2)
20. The number of circles that can be seen in the given face is
____. (8, 9)
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II. Fill in the blanks:
1.
When placed on the floor, the _______________ touches at only one point.
2.
When the entire shape touches the floor, it is called a ______________
shape.
3.
________________ is a plane shape with 4 sides.
4.
With 4 match-sticks, one can form ___________which is a plane shape.
5.
The ________________ is a 3-sided plane shape.
6.
__________ is a solid shape that has neither vertices nor edges.
7.
______________ is a solid shape with only one curved surface.
8.
The number of lines of symmetry of the letter
9.
The solid shape ______________ touches the floor along a line.
F is ______________.
10.
There are 6 flat faces for a _________________.
11.
A cuboid with equal edges is a __________________.
12.
When two faces of a solid meet we get ___________________.
13.
A shape which has equal number of vertices and edges is _____________.
14.
Two identical post cards are said to be ____________________.
15.
Congruent shapes are of __________________ size.
16.
A figure and its image on a proper mirror are _______________.
17.
________________ is an example for a closed curve.
18.
The English letter __________ is an example for an open curve.
19.
When a post card
is folded exactly into half, the fold is
called a ______________.
20.
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The figure
has ________________ lines of symmetry.
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III.
Say true or false:
1. A cuboid has 8 edges.
2. A circle is a solid shape.
3.
These pieces can be used to make a cuboid.
4. The sphere has only one curved surface.
5. A cylinder has 2 vertices.
6. The base of a cone is a circle.
7. Similar figures have same shape and size.
8. All congruent figures are similar.
9. Two one rupee coins are congruent.
The arrow crosses the curve because
the curve is open.
10.
11. An open curve starts and ends at the same point.
12. No English alphabet is an example for a closed curve.
13. A triangle is an open curve.
14. You can draw a closed curve without lifting your pencil and end up
where you started.
15. This figure
has 2 lines of symmetry.
16. The two halves of a symmetric figure match exactly with each other.
17. A figure must have at least one line of symmetry.
18. A figure may have more than two lines of symmetry.
19.
This figure has only 2 lines of symmetry.
20. A cone is partly flat and partly curved.
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IV. Match the following:
B)
A)
Shape
1.
Cone
Details
12 edges
2.
Cylinder
1 vertex
3.
Sphere
4.
Cuboid
no vertex
5.
Cube
no edges
6 faces
Shape
1.
2.
3.
4.
5.
Lines of
Symmetry
Two
Three
Four
Six
Zero
C)
Congruent shapes
1.
Similar shapes
2.
Symmetric shapes
3.
4.
Solid shapes
Plane shapes
5.
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D)
2 open curves
1.
4 open curves
2.
0 open curves
3.
3 open curves
4.
1 open curve
5.
V. Pick the odd man out: Give reasons.
1.
(a)
(b)
(c)
(b)
(c)
(d)
2.
(a)
3.
(a)
B
(b)
D
(c)
(d)
6
(d)
8
4.
(a)
(b)
(c)
(d)
(a)
(b)
(c)
(d)
5.
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6.
(a)
(b)
(c)
(d)
(b)
(c)
(d)
(b)
(c)
(d)
(b)
(c)
(d)
(b)
(c)
(d)
7.
(a)
8.
(a)
9.
(a)
10.
(a)
VI. Investigate the following:
(For this Exercise, consider the plane shapes and solid shapes you have seen in the lesson).
1. What are the solid shapes
a) that can roll?
b) that cannot roll?
c) that are flat all over?
d) that are curved all over?
e) that are partly flat and partly curved?
2. Give some examples for solid shapes, which you see around. In what
ways are they alike? In what ways are they different?
3. This is a skeletal model of a cube.
It is made of matchsticks.
How many matchsticks are used?
Are they enough to make a cuboid (which is not a cube)?
4. Identify the solid shape that has
a) 1 flat surface.
b) 2 flat surfaces.
c) 1 flat surface and 1 curved surface.
d) 2 flat surfaces and 1 curved surface.
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e) No flat faces or straight edges.
f ) Only one vertex.
g) Many vertices.
5. Will it be stable (which means „not collapse‟) if you place
a) A cuboid upon a cube?
b) A cube upon a cylinder?
c) A cylinder upon a cone?
d) A cuboid, a cylinder and a cone, one over the other, in that order,
with cuboid as the base.
e) A cuboid on two cylinders lying on their curved surfaces.
6. Use dice (which are cubes) to build shapes
like the one shown here.
Find the number of vertices, edges and faces
of such shapes.
7. Is it possible to build a square
a) using several squares?
b) using several rectangles?
c) using several triangles?
8. a) How will you change
i) a closed curve into an open curve?
ii) an open curve into a closed curve?
b) Can a curve be partly open and partly closed?
c) Are the “kolams” shown here open or closed?
i)
ii)
Investigate this for several such kolams.
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VII. Answer the following questions-Level I
1. There are two water bottles of the same company brand. But their
capacities are 1 litre and 2 litres respectively. Are the bottles congruent
(or) similar bottles? Give reasons.
2. Name all the objects in your class room that have plane surfaces
(flat surfaces).
3. Name the surface nature of the following objects:
a) Globe
b) egg
c) boat
d) geometry box
4. Rupa formed a quadrilateral with the help of match sticks as follows:
She has used 10 match sticks for this purpose. Draw the lines of
symmetry for this figure?
5. Redraw the following figures in your note book, without lifting the pencil
from the paper while drawing.
6. Is the bottle cap of an ink bottle cylindrical or circular? How many
surfaces does it have?
7. What is the difference between a circle and a sphere?
8. Which of the following is correct?
a) A cube has 8 corners, 8 edges and 6 faces.
b) A cuboid has 8 corners, 12 edges and 8 faces.
c) A cone has 1 corner, 1 flat surface and 1 curved surface.
d) A cylinder has 2 corners, 2 flat surfaces and 1 curved surface.
9.
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“Every line of symmetry passes through the marked
readings of the clock”. Do you agree?
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10. A circus tent is made with a cylinder topped
by a cone in the form of cloth. Which surfaces
of the cylinder and the cone,
the cloth portion covers?
11. “If we take any 2 rectangles, they must be congruent or similar”.
Do you agree?
12. What is an “Ice-cube”? Why is it called so?
13. Draw any 5 open curves and 5 closed curves of your own.
14.
Are there lines of symmetry for the given star?
VIII. Answer the following questions – Level - II
1. Write the numerals that are symmetrical from 1 to 20. Find their lines of
symmetry.
2. Give 3 real objects of different types in each of the following shapes
(a) cylinder
(b) sphere
(c) cone
(d) cube
3. 12 match sticks of equal size are given to you. You are allowed to form a
plane shape and a solid shape using all the sticks. Breaking of stick is
not allowed. Here are few examples. Give several such sketches,
using 12 match sticks.
Cube with 12 match sticks
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Triangle with 12 match sticks
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4.
Look at the given alphabets: Represent
open closed
figure figure
5.
open closed
figure figure
Several such letters in both forms: open and
Closed.
Here we see a line of symmetry for a rectangle.
Here we see a curve of symmetry for the given shape.
Try to give few more example like this.
6. Here is an example of developing a “Rangoli-pattern”. The idea of
symmetry is used on the 8 × 8 square board with 4 lines of symmetry to
develop a „Rangoli-pattern‟s of your own on 8 × 8 square boards.
Frame A
Frame B
Frame C
Frame D
Frame E
Frame F
Construct two such patterns on 8  8 square sheets.
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7.
Find the number of square, triangles, circles and
rectangles in the given picture
8. Draw a picture of a „post box‟ using the following shapes: 1 square;
rectangles (one smaller and one larger); 1 triangle.
9. Two view points of a die is given
What is the opposite face of
? Why is it so?
10. How many lines of symmetry does a circle have? How?
11. How many lines of symmetry are there for a semi-circle (half circle)?
Give reasons.
12. How should we fold a rectangular paper to make a cylinder?
13. In the following „Rangoli- pattern‟,
find out how many open curves and
closed curves are there.
14. Join the dots in the order of alphabets by two ways.
Join by line segments
Join by curves
Observe the shape of the figures, you get.
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