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IKMC 2025 - Grades 9-10 - Self-study Question 11

IKMC · IKMC 2025 - Grades 9-10 - Self-study

Question 11

On a standard die, the numbers on opposite faces always sum to 7. We tilt the shown die repeatedly over its edges so that each of its six faces is on top once. Which sequence of top numbers is NOT possible?

Question illustration
  1. 3-5-1-2-6-4
  2. 3-2-5-1-6-4
  3. 3-1-2-6-5-4
  4. 3-1-5-6-2-4
  5. 3-6-2-1-5-4