Grades 5-6 Video Solutions 2022-2022_5-6

Video Transcription

Video Summary

In a Math Kangaroo problem, 30 people around a circular table make statements about their neighbors' hats. Hat wearers always tell the truth, while non-hat wearers can lie or tell the truth. Each claims that at least one neighbor isn't wearing a hat. By reducing the problem to smaller groups and incrementally building up, it's determined that a repeating pattern of non-hat wearers and two consecutive hat wearers (NHH) can be formed around the table. This pattern implies that the largest number of hat wearers possible is 20. Thus, the correct answer is 20 hat wearers.

Keywords

Math Kangaroo

circular table

hat wearers

truth-tellers

NHH pattern