TRAIN FOR THE AMC 8 WITH AOPS
Difference between revisions of "2006 AMC 8"
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==Problem 4== | ==Problem 4== | ||
| + | Initially, a spinner points west. Chenille moves it clockwise <math> 2 \dfrac{1}{4}</math> revolutions and then counterclockwise <math> 3 \dfrac{3}{4}</math> revolutions. In what direction does the spinner point after the two moves? | ||
| + | |||
| + | <asy>size(96); | ||
| + | draw(circle((0,0),1),linewidth(1)); | ||
| + | draw((0,0.75)--(0,1.25),linewidth(1)); | ||
| + | draw((0,-0.75)--(0,-1.25),linewidth(1)); | ||
| + | draw((0.75,0)--(1.25,0),linewidth(1)); | ||
| + | draw((-0.75,0)--(-1.25,0),linewidth(1)); | ||
| + | label("$N$",(0,1.25), N); | ||
| + | label("$W$",(-1.25,0), W); | ||
| + | label("$E$",(1.25,0), E); | ||
| + | label("$S$",(0,-1.25), S); | ||
| + | draw((0,0)--(-0.5,0),EndArrow);</asy> | ||
| + | |||
| + | <math> \textbf{(A)}\ \text{north} \qquad | ||
| + | \textbf{(B)}\ \text{east} \qquad | ||
| + | \textbf{(C)}\ \text{south} \qquad | ||
| + | \textbf{(D)}\ \text{west} \qquad | ||
| + | \textbf{(E)}\ \text{northwest}</math> | ||
| + | |||
==Problem 5== | ==Problem 5== | ||
==Problem 6== | ==Problem 6== | ||
Revision as of 18:49, 14 August 2011
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
Problem 1
Mindy made three purchases for 
dollars, 
dollars, and 
dollars. What was her total, to the nearest dollar?
Problem 2
On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score?
Problem 3
Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?
Problem 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?
![[asy]size(96); draw(circle((0,0),1),linewidth(1)); draw((0,0.75)--(0,1.25),linewidth(1)); draw((0,-0.75)--(0,-1.25),linewidth(1)); draw((0.75,0)--(1.25,0),linewidth(1)); draw((-0.75,0)--(-1.25,0),linewidth(1)); label("$N$",(0,1.25), N); label("$W$",(-1.25,0), W); label("$E$",(1.25,0), E); label("$S$",(0,-1.25), S); draw((0,0)--(-0.5,0),EndArrow);[/asy]](http://latex.artofproblemsolving.com/3/9/f/39f6c3905c23037677847312e6fe6254d0dd9923.png)
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Copyright 2006, The Mathematical Association of America
