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Australian AMC 2013 - Junior Question 12

AMC AUSTRALIA · Australian AMC 2013 - Junior

Question 12

The opposite faces on a standard dice add to give a total of 7. The game of Corners is played by rolling a dice and then choosing a vertex of the dice with your eyes closed. For example, the score for the vertex chosen below would be $4+5+6=15$.

Question illustration

Which of the following scores is NOT possible when playing Corners?
  1. 6
  2. 7
  3. 8
  4. 9
  5. 10