Mathematics
Grade-4-
Easy
Question
Joshua made a pattern using square tiles.
If the pattern continues, the number of square tiles required to make the 9th shape is
- 79
- 72
- 81
- 108
Hint:
We are given a pattern of shapes made using tiles by Joshua. The number of tiles is increasing with the pattern. We are given shapes 5 shapes. We are asked to find 9th shape. We have to find the rule used to make the shapes. Using the rule, we will find the next number.
The correct answer is: 81
The number of tiles in first shape is 1, second shape is 4, third shape is fourth shape is 16 and fifth shape is 25.
IIf we see there is a relation between the number of shape and number of tiles. The number of tiles is the square of the number of shape.
Therefore, the rule used is “ the square of number of shapes”.
First shape has 12 = 1 tile.
Second shape has 22 = 4 tiles.
Third shape has 32 = 9 tiles.
Fourth shape has 42 = 16 tiles.
Fifth shape has 52 = 25 tiles.
We are asked to find number of tiles in 9th shape.
Ninth shape will have 92 = 81 shapes.
The number of tiles in 9th shape are 81.
For such questions, the main part is to find the rule used to form the pattern.
