Mathematics
Grade-4-
Easy

Question

Lin creates a pattern using the white and black tiles.

The number of white tiles present in the next shape of Lin’s pattern is _____.

  1. 15    
  2. 16    
  3. 20    
  4. 25    

hintHint:

We are given the a sequence of increasing tiles created by Lin. Shapes are made using black and white tiles. We are asked the number of white tiles in the next shape. We will find the rule used to create the patterns. Using the rule, we will find the number of white tiles in next shape.

The correct answer is: 16


    The number of tiles is increasing with the number of shape. 
    The rule used to create the shape is the number of tiles is given by a square. And the number is increasing by 1.
    The first shape requires 1= 1 white tiles.
    The second shape requires 22 = 4 white tiles.
    The third shape requires 32 = 9 white tiles.
    So, the next figure will be square of next number that is 4.
    Therefore, 4th shape requires 4= 16 white tiles.

    We have to be careful about the sequence of the shape. We have to increase the number of tiles in proper order.

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