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Question

Answer

Number of rows in a pattern       = Pattern Number.

New squares added in a pattern = (2 x Pattern Number) – 1

Total squares in pattern                = Pattern Number x Pattern number

Shaded squares in pattern            = (Pattern Number – 2)  x (Pattern Number – 2)

White squares in pattern              = (Pattern Number – 1) x 4

(a) What is the total number of squares in pattern 5?

      5 x 5 = 25

(b) Which pattern is made up of 40 white squares?

      (11 – 1) x 4 = 40

      40

(c) How many shaded squares are there in pattern 30?

    (30 – 2) x (30 – 2)

    28 x 28 = 784

 

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