Mathematics
Grade-4-
Easy

Question

Nancy is making a repeating pattern for the rule "Triangle, Square, Pentagon, and Hexagon."

Which shape will be in the 84th shape in the pattern?

  1. Triangle    
  2. Square    
  3. Pentagon    
  4. Hexagon    

hintHint:

We are given a repeating pattern of four shapes made by Nancy. The four shapes are triangle, pentagon and hexagon. The rule to write shapes is “Triangle, Square, Pentagon and Hexagon.”. We are asked to find the shape at 84h place.

The correct answer is: Hexagon


    The given pattern in words is Triangle, Square, Pentagon, Hexagon, Triangle, Square, Pentagon, Hexagon
    We are asked to find the shape at the 84th place.
    The rule used to write the pattern is “ Triangle, Square, Pentagon and Hexagon”.
    Four shapes are repeating. And, the fourth shape is a Hexagon.
    So, all multiples of four will have Hexagon in their position.
    We have to find the shape at 84th place. It is a multiple of 4.
    4 × 21 = 84
    So, at 84th position there will be a Hexagon.

    We have to be careful about the sequence of the pattern.

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