Maths Olympiad Prep

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, 2003

Algebra Difficulty 2.0 Junior Prove it Canada

Later in the year, Mary realizes that she needs a mark of 100100 on the next test in order to achieve an average of 9090 for all her tests. However, if she gets a mark of 7070 on the next test, her average will be 8787. After she writes the next test, how many tests will she have written?

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.