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Worksheet: Shape Patterns

Q1:

Predict how many hexagons will be present if the given pattern is extended to have a total of 38 polygons.

Q2:

William is going to make a repeating pattern with this repeating part.

What are the first 9 shapes in this pattern?

  • A
  • B
  • C
  • D

He notices that the 3rd, 6th, and 9th shapes are all squares. He guesses that the 12th and the 15th shapes will be squares because they are multiples of 3, and there are 3 shapes in the repeated part.

Is his guess correct?

  • Ayes
  • Bno

What will the 31st shape be?

  • A
  • B
  • C

Q3:

What will the 16th shape in this pattern be?

  • A
  • B
  • C
  • D
  • E

Q4:

If the given pattern is extended to have 11 polygons, how many of them will be green?

Q5:

If the given pattern is extended to have 9 polygons, how many of them will be green?