Difference between revisions of "2006 AMC 8 Problems/Problem 4"
Jeffersonj (talk | contribs) m (→Solution) |
Jeffersonj (talk | contribs) (→Solution 2 (Minor improvement)) |
||
Line 25: | Line 25: | ||
== Solution 2 (Minor improvement) == | == Solution 2 (Minor improvement) == | ||
Note that full revolutions do not matter, so this is equivalent to going clockwise <math> \dfrac{1}{4}</math> revolutions and then counterclockwise <math> \dfrac{3}{4}</math> revolutions, making it ultimately go counterclockwise <math> \dfrac{1}{2} </math>, having the spinner point <math> \boxed{\textbf{(B)}\ \text{east}} </math>. | Note that full revolutions do not matter, so this is equivalent to going clockwise <math> \dfrac{1}{4}</math> revolutions and then counterclockwise <math> \dfrac{3}{4}</math> revolutions, making it ultimately go counterclockwise <math> \dfrac{1}{2} </math>, having the spinner point <math> \boxed{\textbf{(B)}\ \text{east}} </math>. | ||
+ | |||
+ | ~JeffersonJ | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2006|num-b=3|num-a=5}} | {{AMC8 box|year=2006|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 12:38, 20 June 2022
Problem
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?
Solution 1
If the spinner goes clockwise revolutions and then counterclockwise revolutions, it ultimately goes counterclockwise which brings the spinner pointing .
Solution 2 (Minor improvement)
Note that full revolutions do not matter, so this is equivalent to going clockwise revolutions and then counterclockwise revolutions, making it ultimately go counterclockwise , having the spinner point .
~JeffersonJ
See Also
2006 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.