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Australian AMC 2023 - Upper Primary Question 23

AMC AUSTRALIA · Australian AMC 2023 - Upper Primary

Question 23

Meena has a standard die, with each pair of opposite faces adding to 7. At first, the three faces she can see add to 6, as shown. She holds the die between a pair of opposite faces and rotates it 180°, keeping these opposite faces facing the same direction. She puts the die back down and adds up the three faces she can now see. What is the smallest possible total she could get?

Question illustration
  1. 6
  2. 8
  3. 10
  4. 12
  5. 14