 Study P2 Mathematics Shapes and Patterns 1 - Geniebook   # Shapes And Patterns

1. Identify shapes
2. Identify 3D shapes
3. 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? 1. Triangle and square
2. Triangle and rectangle
3. Rectangle and square

(2) Triangle and rectangle

Question 2:

The figure below is made by overlapping two shapes. Identify them. 1. Half circle and square
2. Half circle and rectangle
3. Half circle and triangle

Solution: (3) Half circle and triangle

Question 3:

How many quarter circles are there in the figure? 1. 5
2. 6
3. 7
4. 4

(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? 1. A and B
2. A and D
3. B and C
4. B and D

Solution:

The number of straight lines in A is 6, B is 8, C is 16 and D is 8.

(4) B and D

Question 2:

Which of the following shapes have the same number of curved lines? 1. A and B
2. A and C
3. A and D
4. C and D

Solution:

The number of curved lines in A is 2, B is 0, C is 3 and D is 2.

(3) A and D.

Question 3:

How many curved lines are there in the figure below? 1. 8
2. 10
3. 11
4. 12

(4) 12

Question 4:

How many more straight lines than curved lines are there in the figure below? 1. 5
2. 8
3. 10
4. 13

Solution:

The number of straight lines $$= 13$$

The number of curved lines $$= 5$$

Difference in number of straight lines and curved lines

$$= 13 - 5$$

$$= 8$$

(2) 8

Question 5:

How many more straight lines than curved lines are there in the figure below? 1. 6
2. 8
3. 10
4. 16

Solution:

The number of straight lines $$= 16$$

The number of curved lines  $$= 6$$

Difference in number of straight lines and curved lines

$$= 16 - 6$$

$$= 10$$

(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? 1. Cone and cube
2. Cone and cylinder
3. Cube and cylinder
4. Cube and cuboid

(2) Cone and cylinder

Question 2:

Which three solids are used to make the figure? 1. Sphere, cone, cube
2. Cone, cube, cylinder
3. Sphere, cylinder, cuboid
4. Cone, cylinder, cuboid

(4) Cone, cylinder, cuboid

Question 3:

How many cubes more than spheres are there in the figure? 1. 1
2. 6
3. 3
4. 9

Solution:

The number of cubes $$= 6$$

The number of spheres $$= 3$$

Difference in number of cubes and spheres

$$= 6 - 3$$

$$= 3$$

(3) 3

## 4. Identify Flat And Curved Surfaces Question 1:

Which of the following has no curved surface? 1. A
2. B
3. C
4. D

(4) D

Question 2:

Which of the following has no flat surface? 1. A
2. B
3. C
4. D

(3) C

Question 3:

How many flat surfaces are there in the figure? 1. 4
2. 5
3. 3
4. 6

(2) 5

1. Identify shapes
2. Identify lines and curves
3. Identify 3D shapes
4. Identify flat and curved surfaces

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