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Australian AMC 2019 - Middle Primary Question 25

AMC AUSTRALIA · Australian AMC 2019 - Middle Primary

Question 25

Shirley has six pieces of her construction kit: two red, two blue and two green. She wants to build a square using four of the pieces.

Question illustration

Shirley considers Square 1 below to be the same as Square 2, since the colours match once Square 2 is turned over and rotated. However she considers Square 3 to be different from Square 1, since no matter how it is turned, the two red sides are always opposite, and cannot match Square 1.

Question illustration

How many different squares could she build?
  1. 4
  2. 8
  3. 12
  4. 16
  5. 18