Maths Olympiad Prep

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, 2022

Algebra Difficulty 1.2 Junior Find the answer Canada

Starting at 72, Aryana counts down by 11s: 72,61,50,72, 61, 50, \dots. What is the last
number greater than 0 that Aryana will count?

Pick one

Solution

The faces shown are labelled with 1,31,3 and 5 dots. Therefore, the other
three faces are labelled with 2,42,4
and 6 dots. The total number of dots on the other three faces is 2+4+6=122+4+6=12.

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