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Problem 202

Number theory Difficulty 1.3 Multiple choice CEMC Gauss (Grade 7) · Canada · 2025

The month of June has 30 days. If in a certain year June 1 is on
a Tuesday, on which day of the week is June 30?

Pick one

Official solution

There are $7$ days in a week.
If June $1$ is a Tuesday, then by
moving successively $7$ days later in
the month, we get June $8$ , $15$ , $22$ , and $29$ are also Tuesdays. Thus, June $30$ is a Wednesday.

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