# 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 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 learnt how to:

- Identify shapes
- Identify lines and curves
- Identify 3D shapes
- Identify flat and curved surfaces