2006 AMC 8 Problem 4
Attempt Problem 4 of the 2006 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 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
Initially, a spinner points west. Chenille moves it clockwise revolutions and then counterclockwise revolutions. In what direction does the spinner point after the two moves?
North
East
South
West
Northwest
Answer: B
Small hint:
Whole revolutions do not change the final direction.
Big hint:
After removing whole turns, compare a clockwise quarter-turn with a counterclockwise three-quarter-turn.
Solution:
If the spinner goes revolutions clockwise and revolutions counterclockwise, it goes revolutions counterclockwise.
This means that the spinner will be pointing east.
Thus, B is the correct answer.
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
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