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Australian AMC 2013 - Intermediate Question 18

AMC AUSTRALIA · Australian AMC 2013 - Intermediate

Question 18

In the regular hexagon pictured, the midpoints of the sides are joined to form the shaded regular hexagon. What fraction of the larger hexagon is shaded?

Question illustration
  1. $\frac34$
  2. $\frac23$
  3. $\frac56$
  4. $\frac12$
  5. $\frac78$