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IKMC 2012 - Grades 11-12 - Paper 02 - Self-study Question 20

IKMC · IKMC 2012 - Grades 11-12 - Paper 02 - Self-study

Question 20

Renate wants to glue ordinary dice into a straight “dicebar” as shown. Opposite faces of each die sum to 7 dots. She glues together only faces with equal numbers of dots. The total on the unglued faces must be 2012. How many dice must she use?

Question illustration
  1. 70
  2. 71
  3. 142
  4. 143
  5. A total of 2012 is impossible