Grade 6 math problem makes it difficult for students in Asia-Pacific Math competition

The essay problem related to Chess made it difficult for many candidates in the 2023 Asia- Pacific Mathematics Competition.

Round 2 of this year's Asia- Pacific Mathematics Olympiad (APMOPS) takes place from 26 to May 28 in Singapore, with the participation of more than 200 contestants from 14 countries and territories. This is one of the most prestigious Math competitions for students under 12 years old today.

In round 1, candidates had to solve 30 multiple-choice English problems and write their answers within 120 minutes. In round 2, candidates were required to solve 14 problems in 120 minutes, including 12 multiple-choice questions and two essay questions.

Hoang Lam, class 6G0, Newton Primary School received an award for the second-place score in the contest. Photo: Tran Phuong

The following is an essay that is difficult for many candidates.

Topic:

In a chess tournament with n players participating in a round-robin format, each player plays exactly one game with the others with the scoring rule: "Each win is worth 1 point, a draw is worth 0.5 points and a loss is worth 0 points".

Knowing that at the end of the tournament, Anna and Ben both got 8 points and all the remaining players had the same number of points. Determine the possible outcomes of n.

Solution guide

Tran Phuong (Director of Talent Development Center)

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