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IKMC 2009 - Grades 9-10 - Self-study Question 20

IKMC · IKMC 2009 - Grades 9-10 - Self-study

Question 20

Three great circles on a sphere intersect at right angles. Starting at S in the indicated direction, a bug follows them and alternately turns right and left at crossings. How many quarter-circles does it travel before first returning to S?

Question illustration
  1. 6
  2. 9
  3. 12
  4. 15
  5. 18