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IMAS 2012 Junior First Round Question 14

IMAS · IMAS 2012 Junior First Round

Question 14

The diagram below shows a cube with three of its faces labelled A, B and C, and a $3\times3$ square with six of its squares labelled 1, 2, 3, 4, 5 and 6. The cube is tipped over so that face C lies on square 1, tipped over again so that face B lies on square 2, and so on until the cube lies on square 6. What is the sum of the numbers of the squares on which the cube has laid with face B on top?

Question illustration
  1. 2
  2. 6
  3. 7
  4. 9
  5. 10