2025 AMC 8 Problem 6
Attempt Problem 6 of the 2025 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Sekou writes the numbers After he erases one of the numbers, the sum of the remaining four numbers is a multiple of Which number did he erase?
Answer: C
Small hint:
Compare the total sum modulo before and after erasing
Big hint:
The erased number must have the same remainder as the original total
Video solution:
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Written solution:
The remainders of the five numbers after dividing by are: and So, the sum of all five numbers modulo is the same as which has remainder modulo Therefore, in order to erase a single number and get a sum that is modulo we must erase the number which was modulo which was Therefore, the answer is C.
Problem 6 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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- 1991 AMC 8
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