2010 AMC 8 Problem 10
Attempt Problem 10 of the 2010 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2010 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
Six pepperoni circles will exactly fit across the diameter of a -inch pizza when placed as shown. If a total of circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered by pepperoni?
Answer: B
Small hint:
Area scales with the square of the diameter, then multiply by pepperoni circles.
Big hint:
Six small diameters equal the pizza diameter.
Solution:
Each circle has the diameter of the large circle, so it has of the total area.
Since there are pepperoni, they take up of the area.
Therefore, the answer is B .
Problem 10 in other years
- 1985 AMC 8
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