2025 AMC 8 Problem 7

Attempt Problem 7 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).

7.

On the most recent exam in Prof. Xochi’s class,
• 55 students earned a score of at least 95%,95\%,
• 1313 students earned a score of at least 90%,90\%,
• 2727 students earned a score of at least 85%,85\%, and
• 5050 students earned a score of at least 80%.80\%.
How many students earned a score of at least 80%80\% and less than 90%?90\%?
88
1414
2222
3737
4545
Answer: D
Concepts:data and graph interpretation
Small hint:
The score groups are nested
Big hint:
Subtract the students with scores at least 90%90\% from those at least 80%80\%
Video solution:
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Written solution:
Notice that the numbers of students in each category keep increasing, which makes sense because the categories are getting broader.
We want to include all 5050 of the students who earned a score of at least 80%80\% but exclude all 1313 of the students who earned a score of at least 90%.90\%. So, the answer is 50−13=37,50 - 13 = 37, which is choice D.
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