|
|
| Line 1: |
Line 1: |
| − | ==Problem 1==
| + | '''2006 AMC 8''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. |
| − | Mindy made three purchases for <math>1.98</math> dollars, <math>5.04 </math>dollars, and <math>9.89</math> dollars. What was her total, to the nearest dollar?
| |
| − | <math> \textbf{(A)}\ 10\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 16\qquad\textbf{(D)}\ 17\qquad\textbf{(E)}\ 18 </math>
| |
| | | | |
| − | ==Problem 2==
| + | *[[2006 AMC 8 Problems]] |
| − | 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?
| + | **[[2006 AMC 8 Problems/Problem 1|Problem 1]] |
| − |
| + | **[[2006 AMC 8 Problems/Problem 2|Problem 2]] |
| − | <math> \textbf{(A)}\ 1\qquad\textbf{(B)}\ 6\qquad\textbf{(C)}\ 13\qquad\textbf{(D)}\ 19\qquad\textbf{(E)}\ 26 </math>
| + | **[[2006 AMC 8 Problems/Problem 3|Problem 3]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 4|Problem 4]] |
| − | ==Problem 3==
| + | **[[2006 AMC 8 Problems/Problem 5|Problem 5]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 6|Problem 6]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 7|Problem 7]] |
| − | 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?
| + | **[[2006 AMC 8 Problems/Problem 8|Problem 8]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 9|Problem 9]] |
| − | <math> \textbf{(A)}\ \frac{1}{2}\qquad\textbf{(B)}\ \frac{3}{4}\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ 3 </math>
| + | **[[2006 AMC 8 Problems/Problem 10|Problem 10]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 11|Problem 11]] |
| − | ==Problem 4==
| + | **[[2006 AMC 8 Problems/Problem 12|Problem 12]] |
| − | 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?
| + | **[[2006 AMC 8 Problems/Problem 13|Problem 13]] |
| − | | + | **[[2006 AMC 8 Problems/Problem 14|Problem 14]] |
| − | <asy>size(96);
| + | **[[2006 AMC 8 Problems/Problem 15|Problem 15]] |
| − | draw(circle((0,0),1),linewidth(1));
| + | **[[2006 AMC 8 Problems/Problem 16|Problem 16]] |
| − | draw((0,0.75)--(0,1.25),linewidth(1));
| + | **[[2006 AMC 8 Problems/Problem 17|Problem 17]] |
| − | draw((0,-0.75)--(0,-1.25),linewidth(1));
| + | **[[2006 AMC 8 Problems/Problem 18|Problem 18]] |
| − | draw((0.75,0)--(1.25,0),linewidth(1));
| + | **[[2006 AMC 8 Problems/Problem 19|Problem 19]] |
| − | draw((-0.75,0)--(-1.25,0),linewidth(1));
| + | **[[2006 AMC 8 Problems/Problem 20|Problem 20]] |
| − | label("$N$",(0,1.25), N);
| + | **[[2006 AMC 8 Problems/Problem 21|Problem 21]] |
| − | label("$W$",(-1.25,0), W);
| + | **[[2006 AMC 8 Problems/Problem 22|Problem 22]] |
| − | label("$E$",(1.25,0), E);
| + | **[[2006 AMC 8 Problems/Problem 23|Problem 23]] |
| − | label("$S$",(0,-1.25), S);
| + | **[[2006 AMC 8 Problems/Problem 24|Problem 24]] |
| − | draw((0,0)--(-0.5,0),EndArrow);</asy>
| + | **[[2006 AMC 8 Problems/Problem 25|Problem 25]] |
| − | | |
| − | <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==
| |
| − | Points <math> A, B, C</math> and <math> D</math> are midpoints of the sides of the larger square. If the larger square has area 60, what is the area of the smaller square?
| |
| − | | |
| − | <asy>size(100);
| |
| − | draw((0,0)--(2,0)--(2,2)--(0,2)--cycle,linewidth(1));
| |
| − | draw((0,1)--(1,2)--(2,1)--(1,0)--cycle);
| |
| − | label("$A$", (1,2), N);
| |
| − | label("$B$", (2,1), E);
| |
| − | label("$C$", (1,0), S);
| |
| − | label("$D$", (0,1), W);</asy>
| |
| − | | |
| − | <math> \textbf{(A)}\ 15 \qquad
| |
| − | \textbf{(B)}\ 20 \qquad
| |
| − | \textbf{(C)}\ 24 \qquad
| |
| − | \textbf{(D)}\ 30 \qquad
| |
| − | \textbf{(E)}\ 40</math>
| |
| − | | |
| − | ==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
| |
