1998 AMC 8 Problem 4
Attempt Problem 4 of the 1998 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 1998 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
How many triangles are in this figure? (Some triangles may overlap other triangles.)
Answer: E
Small hint:
Count small and larger triangles separately.
Big hint:
Do not forget triangles formed by combining smaller ones.
Solution:
The figure contains three small triangles, the triangle made from the two rightmost small triangles, and the large outside triangle.
This gives triangles.
Thus, the correct answer is E .
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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