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Problem 145

Combinatorics Difficulty 1.1 Multiple choice CEMC Gauss (Grade 8) · Canada · 2015

The graph shows the total distance that each of five runners ran during a one-hour training session.

Which runner ran the median distance?

Pick one

Official solution

The equal-arm balance shows that 2 rectangles have the same mass as 6 circles.
If we organize these shapes into two equal piles on both sides of the balance, then we see that 1 rectangle has the same mass as 3 circles.

Figure for this problem

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.