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Difference between revisions of "2004 AMC 8 Problems"

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Handy Aaron helped a neighbor <math>11</math> hours on Monday, <math>50</math> minutes on Tuesday,
 
Handy Aaron helped a neighbor <math>11</math> hours on Monday, <math>50</math> minutes on Tuesday,
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from <math>8:20</math> to <math>10:45</math> on Wednesday morning, and a half-hour on Friday. He is paid <math>3 per hour. How much did he earn for the week?
+
from <math>8:20</math> to <math>10:45</math> on Wednesday morning, and a half-hour on Friday. He is paid 3 dollars per hour. How much did he earn for the week?
  
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</math> \mathrm{(A)\ <math>8 }\qquad\mathrm{(B)\ </math>9 }\qquad\mathrm{(C)\ <math>10 }\qquad\mathrm{(D)\ </math>12 }\qquad\mathrm{(E)\ <math>15 } </math>
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<math> \mathrm{(A)\ </math>8 }\qquad\mathrm{(B)\ <math>9 }\qquad\mathrm{(C)\ </math>10 }\qquad\mathrm{(D)\ <math>12 }\qquad\mathrm{(E)\ </math>15 } $
  
 
==Problem 11==
 
==Problem 11==

Revision as of 21:30, 21 October 2011

Problem 1

Ona map, a $12$-centimeter length represents $72$ kilometers. How many kilometers does a $17$-centimeter length represent?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 102\qquad\textbf{(C)}\ 204\qquad\textbf{(D)}\ 864\qquad\textbf{(E)}\ 1224$

Problem 2

How many different four-digit numbers can be formed be rearranging the four digits in $2004$?

$\textbf{(A)}\ 4\qquad\textbf{(B)}\ 6\qquad\textbf{(C)}\ 16\qquad\textbf{(D)}\ 24\qquad\textbf{(E)}\ 81$

Problem 3

Twelve friends met for dinner at Oscar's Overstuffed Oyster House, and each ordered one meal. The portions were so large, there was enough food for $18$ people. If they shared, how many meals should they have ordered to have just enough food for the $12$ of them?

$\textbf{(A)}\ 8\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 15\qquad\textbf{(E)}\ 18$

Problem 4

The following information is needed to solve problems 4, 5 and 6.

Ms. Hamilton’s eighth-grade class wants to participate in the annual three-person-team basketball tournament.

Lance, Sally, Joy, and Fred are chosen for the team. In how many ways can the three starters be chosen?

$\textbf{(A)}2\qquad\textbf{(B)}4\qquad\textbf{(C)}6\qquad\textbf{(D)}8\qquad\textbf{(E)}10$

Problem 5

The losing team of each game is eliminated from the tournament. If sixteen teams compete, how many games will be played to determine the winner?

$\textbf{(A)}4\qquad\textbf{(B)}7\qquad\textbf{(C)}8\qquad\textbf{(D)}15\qquad\textbf{(E)}16$

Problem 6

After Sally takes $20$ shots, she has made $55\%$ of her shots. After she takes $5$ more shots, she raises her percentage to $56\%$. How many of the last $5$ shots did she make?

$\textbf{(A)}1\qquad\textbf{(B)}2\qquad\textbf{(C)}3\qquad\textbf{(D)}4\qquad\textbf{(E)}5$

Problem 7

An athlete's target heart rate, in beats per minute, is $80\%$ of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from $220$. To the nearest whole number, what is the target heart rate of an athlete who is $26$ years old?

$\textbf{(A)}\ 134\qquad\textbf{(B)}\ 155\qquad\textbf{(C)}\ 176\qquad\textbf{(D)}\ 194\qquad\textbf{(E)}\ 243$

Problem 8

Find the number of two-digit positive integers whose digits total $7$.

$\mathrm{(A)\ 6 }\qquad\mathrm{(B)\ 7 }\qquad\mathrm{(C)\ 8 }\qquad\mathrm{(D)\ 9 }\qquad\mathrm{(E)\ 10 }$

Problem 9

The average of the five numbers in a list is $54$. The average of the first two numbers is $48$. What is the average of the last three numbers?

$\mathrm{(A)\ 55 }\qquad\mathrm{(B)\ 56 }\qquad\mathrm{(C)\ 57 }\qquad\mathrm{(D)\ 58 }\qquad\mathrm{(E)\ 59 }$

Problem 10

Handy Aaron helped a neighbor $11$ hours on Monday, $50$ minutes on Tuesday, from $8:20$ to $10:45$ on Wednesday morning, and a half-hour on Friday. He is paid 3 dollars per hour. How much did he earn for the week?

$\mathrm{(A)$ (Error compiling LaTeX. Unknown error_msg)8 }\qquad\mathrm{(B)\ $9 }\qquad\mathrm{(C)$ (Error compiling LaTeX. Unknown error_msg)10 }\qquad\mathrm{(D)\ $12 }\qquad\mathrm{(E)$ (Error compiling LaTeX. Unknown error_msg)15 } $

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

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