# 2004 AMC 8 Problems

## Problem 1

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

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

## Problem 2

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

$\mathrm{(A)}\ 4 \qquad\mathrm{(B)} \ 6 \qquad\mathrm{(C)} 16 \qquad\mathrm{(D)}\ 24 \qquad\mathrm{(E)} \81$ (Error compiling LaTeX. ! Undefined control sequence.)

## Problem 3

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 share, how many meals should they have ordered to have just enough food for the 12 of them? (A) 8 (B) 9 (C) 10 (D) 15 (E) 18

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? (A) 134 (B) 155 (C) 176 (D) 194 (E) 243

8. Find the number of two-digit positive integers whose digits total 7. (A) 6 (B) 7 (C) 8 (D) 9 (E) 10

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? (A) 55 (B) 56 (C) 57 (D) 58 (E) 59