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IKMC 2012 - Grades 11-12 - Paper 01 - Self-study Question 20

IKMC · IKMC 2012 - Grades 11-12 - Paper 01 - Self-study

Question 20

A kangaroo wants to build a row of standard dice; opposite faces of each die sum to 7 dots. Two faces can be glued only if their numbers of dots are equal. The total number of dots on the outer, unglued faces is to be 2012. How many dice are needed?

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