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Shapes and Designs
Summary
Open Figures: The figures whose ends do not meet are called open figures.
Example:
Closed Figures: The figures whose ends meet are known as closed figures.
Example:
Polygon: It is a closed figure formed by line segments. For examples
 Triangle Quadrilateral  Pentagon
 (3 sides) (4 sides) (5 sides)
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Shapes and Designs
Summary
Open Figures: The figures whose ends do not meet are called open figures.
Example:
Closed Figures: The figures whose ends meet are known as closed figures.
Example:
Polygon: It is a closed figure formed by line segments. For examples
 Triangle Quadrilateral  Pentagon
 (3 sides) (4 sides) (5 sides)
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Some more 2-D Shapes
 Square Rectangle Circle Oval
(It has four  (It has four corners (A circle has (An oval
corners and and four sides. It’s no corner) shape is 
four equal opposite sides  like egg. It has 
 sides) are equal)  no corner)
3-Dimensional Shapes (Solid Shapes)
Solid shapes have faces, edges and vertices.
Face: The surface of a solid is called 
its face.
Edge: The line where two faces meet 
is called an edge.
Vertex: The point where two or more 
edges meet is called a vertex.
3-D shape No. of faces No. of Vertices No. of Edges 
(sides)
1.
Cube
6 flat faces 8 12
2.
Cuboid
6 flat faces 8 12
Edge
Vertex
Face
Page 3


27
ME NT AL
MA
T
HS
 
Shapes and Designs
Summary
Open Figures: The figures whose ends do not meet are called open figures.
Example:
Closed Figures: The figures whose ends meet are known as closed figures.
Example:
Polygon: It is a closed figure formed by line segments. For examples
 Triangle Quadrilateral  Pentagon
 (3 sides) (4 sides) (5 sides)
28
ME NT AL
MA
T
HS
Some more 2-D Shapes
 Square Rectangle Circle Oval
(It has four  (It has four corners (A circle has (An oval
corners and and four sides. It’s no corner) shape is 
four equal opposite sides  like egg. It has 
 sides) are equal)  no corner)
3-Dimensional Shapes (Solid Shapes)
Solid shapes have faces, edges and vertices.
Face: The surface of a solid is called 
its face.
Edge: The line where two faces meet 
is called an edge.
Vertex: The point where two or more 
edges meet is called a vertex.
3-D shape No. of faces No. of Vertices No. of Edges 
(sides)
1.
Cube
6 flat faces 8 12
2.
Cuboid
6 flat faces 8 12
Edge
Vertex
Face
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3.
Cone
1 flat face and 
1 curved face
1 1 (curved)
4.
Sphere
1 curved face No vertex No edge
5.
Cylinder
2 flat face and
1 curved face
No vertex 2 (curved)
Questions
1. How many triangles are there in the figure given below?
2. How many sides are there in the figure given below?
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ME NT AL
MA
T
HS
 
Shapes and Designs
Summary
Open Figures: The figures whose ends do not meet are called open figures.
Example:
Closed Figures: The figures whose ends meet are known as closed figures.
Example:
Polygon: It is a closed figure formed by line segments. For examples
 Triangle Quadrilateral  Pentagon
 (3 sides) (4 sides) (5 sides)
28
ME NT AL
MA
T
HS
Some more 2-D Shapes
 Square Rectangle Circle Oval
(It has four  (It has four corners (A circle has (An oval
corners and and four sides. It’s no corner) shape is 
four equal opposite sides  like egg. It has 
 sides) are equal)  no corner)
3-Dimensional Shapes (Solid Shapes)
Solid shapes have faces, edges and vertices.
Face: The surface of a solid is called 
its face.
Edge: The line where two faces meet 
is called an edge.
Vertex: The point where two or more 
edges meet is called a vertex.
3-D shape No. of faces No. of Vertices No. of Edges 
(sides)
1.
Cube
6 flat faces 8 12
2.
Cuboid
6 flat faces 8 12
Edge
Vertex
Face
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3.
Cone
1 flat face and 
1 curved face
1 1 (curved)
4.
Sphere
1 curved face No vertex No edge
5.
Cylinder
2 flat face and
1 curved face
No vertex 2 (curved)
Questions
1. How many triangles are there in the figure given below?
2. How many sides are there in the figure given below?
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3. How many corners are there in a circle?
4. How many sides are there in a hexagon?
5. Name the polygon with the minimum number of sides.
6. I am a tube like shape with straight sides and circular ends. Who am I?
7. How many triangles are there in the figure given below?
8. How many sides are there in the kite given below?
9. How many triangles are there in the figure given below?
10. Tell the minimum number of straight lines in the figure below.
Page 5


27
ME NT AL
MA
T
HS
 
Shapes and Designs
Summary
Open Figures: The figures whose ends do not meet are called open figures.
Example:
Closed Figures: The figures whose ends meet are known as closed figures.
Example:
Polygon: It is a closed figure formed by line segments. For examples
 Triangle Quadrilateral  Pentagon
 (3 sides) (4 sides) (5 sides)
28
ME NT AL
MA
T
HS
Some more 2-D Shapes
 Square Rectangle Circle Oval
(It has four  (It has four corners (A circle has (An oval
corners and and four sides. It’s no corner) shape is 
four equal opposite sides  like egg. It has 
 sides) are equal)  no corner)
3-Dimensional Shapes (Solid Shapes)
Solid shapes have faces, edges and vertices.
Face: The surface of a solid is called 
its face.
Edge: The line where two faces meet 
is called an edge.
Vertex: The point where two or more 
edges meet is called a vertex.
3-D shape No. of faces No. of Vertices No. of Edges 
(sides)
1.
Cube
6 flat faces 8 12
2.
Cuboid
6 flat faces 8 12
Edge
Vertex
Face
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3.
Cone
1 flat face and 
1 curved face
1 1 (curved)
4.
Sphere
1 curved face No vertex No edge
5.
Cylinder
2 flat face and
1 curved face
No vertex 2 (curved)
Questions
1. How many triangles are there in the figure given below?
2. How many sides are there in the figure given below?
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3. How many corners are there in a circle?
4. How many sides are there in a hexagon?
5. Name the polygon with the minimum number of sides.
6. I am a tube like shape with straight sides and circular ends. Who am I?
7. How many triangles are there in the figure given below?
8. How many sides are there in the kite given below?
9. How many triangles are there in the figure given below?
10. Tell the minimum number of straight lines in the figure below.
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11. What is the minimum number of colour pencils required to fill the spaces 
in the figure below with no two adjacent spaces having the same colour.
12. Identify the figure that completes the pattern:
  (a) (b) (c) (d)
13. Identify the figure that completes the pattern:
  (a) (b) (c) (d)
?
?
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FAQs on Printable Worksheet: Shapes and Designs - Mental Maths - Class 1

1. What are the different types of shapes covered in the Shapes and Designs Level 3 curriculum?
Ans. The Shapes and Designs Level 3 curriculum typically covers various geometric shapes such as circles, squares, triangles, rectangles, and polygons. Students learn to identify these shapes, understand their properties, and explore how they can be combined to create complex designs.
2. How can students apply their knowledge of shapes in real-world scenarios?
Ans. Students can apply their knowledge of shapes in real-world scenarios by recognizing shapes in everyday objects, such as furniture, buildings, and art. Understanding geometric principles can also help in fields like architecture, engineering, and graphic design, allowing them to create functional and aesthetically pleasing designs.
3. What are the key skills developed through the study of shapes and designs?
Ans. The study of shapes and designs helps develop critical skills such as spatial reasoning, problem-solving, and mathematical thinking. Students learn to visualize shapes in different orientations, understand symmetry, and apply measurement techniques, which are essential skills not only in mathematics but also in everyday life.
4. How do teachers assess students’ understanding of shapes and designs in the classroom?
Ans. Teachers often assess students’ understanding of shapes and designs through a variety of methods, including quizzes, hands-on activities, projects, and group discussions. Assessments may involve identifying shapes, solving geometric problems, or creating designs that demonstrate their knowledge of the subject.
5. What resources are available for students who want to further explore shapes and designs outside of the classroom?
Ans. Students can explore shapes and designs outside the classroom through various resources such as online educational platforms, interactive apps, and books focused on geometry. Additionally, art and craft projects, puzzles, and games that involve shapes can make learning about geometry fun and engaging.
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