Question

Joan notices that the 3rd, 6th, and 9th shapes are 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? Find the rule of the pattern.

• A. Yes, Rule: Triangle, Circle, Square
  
• B. No, Rule: Triangle, Circle, Square
• C. Yes, Rule: Triangle, Square, Circle
• D. No, Rule: Triangle, Square, Circle

Answer 1

The correct option is A Yes, Rule: Triangle, Circle, Square


Solution:
Say:
Let’s continue the pattern to check whether Joan’s guess is correct or not.
Steps:

• Observe the pattern to find out the rule of the pattern.
• Triangle is followed by a circle, which is followed by a square, and this is repeated.
• So, the pattern becomes: Triangle, Circle, Square
• Let’s extend the pattern as shown on the whiteboard to find out the 12th and 15th shape in the pattern.
• We can see that the 3rd, 6th, 9th, 12th, and 15th shapes are all squares as labeled on the whiteboard.
• So, all the positions that are multiples of 3 have squares.
• Hence, Option A is the correct answer.