1994 AMC 8 Problem 15
Attempt Problem 15 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
If this path is to continue in the same pattern, then which sequence of arrows goes from point to point
Answer: A
Small hint:
The arrows repeat in a cycle of length , so a point’s outgoing arrows depend only on its remainder when divided by .
Big hint:
Since and leave remainders and when divided by , the arrows match those going from point to point .
Solution:
The pattern repeats every points, so the arrows leaving a point depend only on its remainder upon division by
Because and the path from to looks just like the path from point to point : from it goes up to then right to
Thus, the correct answer is A .
Problem 15 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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