Shapes And Patterns
In this article, we will learn mainly about Shapes and the learning objectives are:
- Identify shapes
- Identify 3D shapes
- Identify flat and curved surfaces
1. Identify Shapes
Recap: Can you identify the name of these 2D shapes?
Note:
A square has 4 equal sides of the same length. However, a rectangle has 2 long sides and 2 short sides.
Two half circles will make one circle.
Four quarter circles will make one circle.
Question 1:
Which two shapes are used to form the figure below?
- Triangle and square
- Triangle and rectangle
- Rectangle and square
Answer:
(2) Triangle and rectangle
Question 2:
The figure below is made by overlapping two shapes. Identify them.
- Half circle and square
- Half circle and rectangle
- Half circle and triangle
Solution:
Answer:
(3) Half circle and triangle
Question 3:
How many quarter circles are there in the figure?
- 5
- 6
- 7
- 4
Answer:
(2) 6
2. Identify lines and curves
There are two types of lines - straight lines and curved lines.
- A square has 4 straight lines and 0 curved lines.
- A rectangle has 4 straight lines and 0 curved lines.
- A triangle has 3 straight lines and 0 curved lines.
- A circle has 1 curved line and no straight line.
- A half circle has 1 straight line and 1 curved line.
- A quarter circle has 2 straight lines and 1 curved line.
Question 1:
Which of the following shapes have the same number of straight lines?
- A and B
- A and D
- B and C
- B and D
Solution:
The number of straight lines in A is 6, B is 8, C is 16 and D is 8.
Answer:
(4) B and D
Question 2:
Which of the following shapes have the same number of curved lines?
- A and B
- A and C
- A and D
- C and D
Solution:
The number of curved lines in A is 2, B is 0, C is 3 and D is 2.
Answer:
(3) A and D.
Question 3:
How many curved lines are there in the figure below?
- 8
- 10
- 11
- 12
Answer:
(4) 12
Question 4:
How many more straight lines than curved lines are there in the figure below?
- 5
- 8
- 10
- 13
Solution:
The number of straight lines \(= 13 \)
The number of curved lines \(= 5\)
Difference in number of straight lines and curved lines
\(= 13 - 5\)
\(= 8\)
Answer:
(2) 8
Question 5:
How many more straight lines than curved lines are there in the figure below?
- 6
- 8
- 10
- 16
Solution:
The number of straight lines \(= 16\)
The number of curved lines \(= 6\)
Difference in the number of straight lines and curved lines
\(= 16 - 6\)
\(= 10\)
Answer:
(3) 10
3. Identify 3D Shapes
A cube has six sides and each of them is a square.
Example: A Rubik’s cube, A dice etc.
A cuboid has six sides and at least four sides will be a rectangle.
Example: A brick, A shoebox, A tissue box etc.
This is a cone. Its base is made up of a circle.
Example: Ice-cream cone, A traffic cone, A birthday hat, etc.
A sphere does not have a flat surface. It looks like a circle from all directions.
Example: Baseball, A ping pong ball etc.
This is a cylinder and it has two circles on each side with a tube in between.
Examples: A Coca-Cola can, A toilet paper roll, An unsharpened pencil etc.
Question 1:
Which two solid shapes are used to make the figure below?
- Cone and cube
- Cone and cylinder
- Cube and cylinder
- Cube and cuboid
Answer:
(2) Cone and cylinder
Question 2:
Which three solids are used to make the figure?
- Sphere, cone, cube
- Cone, cube, cylinder
- Sphere, cylinder, cuboid
- Cone, cylinder, cuboid
Answer:
(4) Cone, cylinder, cuboid
Question 3:
How many cubes more than spheres are there in the figure?
- 1
- 6
- 3
- 9
Solution:
The number of cubes \(= 6\)
The number of spheres \(= 3\)
Difference in number of cubes and spheres
\(= 6 - 3\)
\(= 3\)
Answer:
(3) 3
4. Identify flat and curved surfaces
Question 1:
Which of the following has no curved surface?
- A
- B
- C
- D
Answer:
(4) D
Question 2:
Which of the following has no flat surface?
- A
- B
- C
- D
Answer:
(3) C
Question 3:
How many flat surfaces are there in the figure?
- 4
- 5
- 3
- 6
Answer:
(2) 5
In this article, we learned how to:
- Identify shapes
- Identify lines and curves
- Identify 3D shapes
- Identify flat and curved surfaces