2020 AMC 8 Problem 4
Attempt Problem 4 of the 2020 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 2020 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?
Answer: B
Small hint:
The added bands have dots
Big hint:
The next hexagon is the third one plus the next band
Video solution:
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Written solution:
The first three hexagons contain and dots. Each new band adds more dots than the previous band.
The fourth hexagon adds dots around the third hexagon, so it contains dots.
Thus, the correct answer is B.
Problem 4 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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