Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 701. (October 2021)

K. 701. A flea is sitting on the 0 mark of the number line, ready to jump. With each jump of the flea it moves 3 or 5 units either to the left or to the right. The flea needs to visit every integer from 1 to 20. Find a possible sequence of at most 22 jumps that will let the flea achieve that goal.

(5 pont)

Deadline expired on November 10, 2021.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Például a 0, 3, 6, 11, 8, 5, 10, 7, 12, 17, 20, 15, 18, 13, 16, 19, 14, 9, 4, 1, 4, 7, 2 ugrássorozat megfelelő.


Statistics:

120 students sent a solution.
5 points:90 students.
4 points:11 students.
2 points:1 student.
1 point:3 students.
0 point:4 students.
Unfair, not evaluated:9 solutionss.
Not shown because of missing birth date or parental permission:2 solutions.

Problems in Mathematics of KöMaL, October 2021