Mathematics
Grade-4-
Easy

Question

Sophia made a pattern using triangles.

If this pattern continues, the number of triangles there in the next shape are____.

  1. 10    
  2. 14    
  3. 15    
  4. 16    

Hint:

We are given a pattern of shapes made using triangles by Sophia. The number of triangles is increasing with the pattern. We are given shapes 3 shapes. We are asked to find 4th 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: 15


    The number of triangles in first shape is 1, second shape is 3, third shape is 9 and fourth shape is 10.
    First shape has 1 triangle.
    Second shape has 3 triangle. It has two triangles more that first triangle.
    Third shape has 6 triangle. It has three more triangles than second.
    Fourth shape has 10 triangles. It has four more triangles than third.
    We are asked to find number of triangles in next shape.
    Fifth shape will have five more triangles.
    The number of triangles = 10 + 5
    = 15
    The number of triangles are 15.

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

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