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HKIMO 2020 Grade 8 National Final (Heat) Set 01 Question 4

HKIMO · HKIMO 2020 Grade 8 National Final (Heat) Set 01

Question 4

There are 90 balls. Peter and Mary take turns removing 4 to 8 balls. Whoever takes the last ball wins. Peter moves first and may add balls before the game. What is the least number he must add to guarantee victory?