# Difference between revisions of "2009 AMC 10A Problems"

## Problem 1

One can holds $12$ ounces of soda. What is the minimum number of cans needed to provide a gallon (128 ounces) of soda? $a)\, 7\qquad b)\, 8\qquad c)\, 9\qquad d)\, 10\qquad e)\, 11$

## Problem 2

Four coins are picked out of a piggy bank that contains a collection of pennies, nickels, dimes and quarters. Which of the following could not be the total value of the four coins, in cents? $a)\, 15\qquad b)\, 25\qquad c)\, 35\qquad d)\, 45\qquad e)\, 55$

## Problem 3

Which of the following is equal to $1 + \frac{1}{1+\frac{1}{1+1}}$? $a)\, \frac{5}{4}\qquad b)\, \frac{3}{2}\qquad c)\, \frac{5}{3}\qquad d)\, 2\qquad e)\, 3$

## Problem 4

Eric plans to compete in a triathalon. He can average $2$ miles per hour in the $\frac{1}{4}$-mile swim and $6$ miles per hour in the $3$-mile run. His goal is to finish the triathlon in $2$ hours. To accomplish his goal what must his average speed in miles per hour, be for the $15$-mile bicycle ride? $a)\, \frac{120}{11}\qquad b)\, 11\qquad c)\, \frac{56}{5}\qquad d)\, \frac{45}{4}\qquad e)\, 12$

## Problem 5

What is the sum of the digits of the square of $111,111,111$? $a)\, 18\qquad b)\, 27\qquad c)\, 45\qquad d)\, 63\qquad e)\, 81$

## Problem 7

A carton contains milk that is $2$% fat, an amount that is $40$% less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk? $a)\, \frac{12}{5}\qquad b)\, \frac{10}{3}\qquad c)\, 9\qquad d)\, 38\qquad e)\, 42$

## Problem 8

Three Generations of the Wen family are going to the movies, two from each generation. The two members of the youngest generation receive a $50$% discount as children. The two members of the oldest generation receive a $25$% discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs <dollar/>6.00, is paying for everyone. How many dollars must he pay? $a)\, 34\qquad b)\, 36\qquad c)\, 42\qquad d)\, 46\qquad e)\, 48$