2025 AMC 8 Problem 13
Attempt Problem 13 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).
13.
Each of the even numbers is divided by The remainders are recorded. Which histogram displays the number of times each remainder occurs?
Answer: A
Small hint:
The remainders of even numbers modulo cycle by adding
Big hint:
Track which four remainders appear one extra time
Video solution:
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Written solution:
The remainders go in order and then repeat.
All of the answer choices have bars of height and bars of height
So, we should pick the answer choice where the taller bars are on the first remainders to appear in our order, which are and That is option A.
Problem 13 in other years
- 1985 AMC 8
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- 2026 AMC 8