Maths: Patterns

Some squares are used to form the pattern below.

What is the total number of squares in pattern 5?
Which pattern is made up of 40 white squares?
How many shaded squares are there in pattern 30?

 

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