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Printable Textbook: Shapes and Designs - Level 2 | Mental Maths - Class 1 PDF Download

Q: 1. What are the main types of shapes covered in the 'Shapes and Designs - Level 3 Class 1'?

Ans. The 'Shapes and Designs - Level 3 Class 1' textbook primarily covers basic geometric shapes such as circles, squares, triangles, and rectangles, as well as three-dimensional shapes like cubes, spheres, and cones. It also explores the properties and characteristics of these shapes, helping students understand their applications in real-world contexts.

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 Page 1


27
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MA
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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)
Page 2


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
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
29
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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?
Page 4


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
29
ME NT AL
MA
T
HS
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?
30
ME NT AL
MA
T
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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
29
ME NT AL
MA
T
HS
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?
30
ME NT AL
MA
T
HS
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.
31
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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 Textbook: Shapes and Designs - Level 2 - Mental Maths - Class 1

1. What are the main types of shapes covered in the "Shapes and Designs - Level 3 Class 1"?

Ans. The "Shapes and Designs - Level 3 Class 1" textbook primarily covers basic geometric shapes such as circles, squares, triangles, and rectangles, as well as three-dimensional shapes like cubes, spheres, and cones. It also explores the properties and characteristics of these shapes, helping students understand their applications in real-world contexts.

2. How can understanding shapes and designs benefit students in their daily lives?

Ans. Understanding shapes and designs is essential for students as it enhances their spatial awareness and problem-solving skills. These concepts are applicable in various daily activities, such as art, architecture, and even cooking. Recognizing and manipulating shapes can also improve critical thinking and creativity, which are valuable skills in both academic and personal pursuits.

3. What activities are suggested in the textbook to help students learn about shapes?

Ans. The textbook suggests a variety of engaging activities to help students learn about shapes, including hands-on projects like creating shape collages, using building blocks to construct models, and interactive games that involve identifying and categorizing shapes. These activities promote experiential learning and help reinforce the concepts taught in the classroom.

4. How do shapes contribute to the field of art and design?

Ans. Shapes are fundamental elements in art and design, serving as the building blocks for creating visual compositions. Artists and designers use shapes to convey messages, evoke emotions, and establish balance and harmony in their work. Understanding the properties of shapes allows them to experiment with forms, leading to innovative and aesthetically pleasing designs.

5. Why is it important for students to learn about the properties of shapes, such as symmetry and congruence?

Ans. Learning about the properties of shapes, including symmetry and congruence, is important because it helps students develop a deeper understanding of geometry and its applications. These concepts are crucial for solving mathematical problems, designing objects, and analyzing patterns. Grasping these properties also lays the groundwork for more advanced mathematical concepts, enabling students to progress in their education effectively.

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Sep 20, 2025 Last updated

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