**AMC 10 Problem Series online course**.

# 2009 AMC 10A Problems

## 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

One can holds ounces of soda. What is the minimum number of cans needed to provide a gallon (128 ounces) of soda?

## 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?

## Problem 3

Which of the following is equal to ?

## Problem 4

Eric plans to compete in a triathalon. He can average miles per hour in the -mile swim and miles per hour in the -mile run. His goal is to finish the triathlon in hours. To accomplish his goal what must his average speed in miles per hour, be for the -mile bicycle ride?

## Problem 5

What is the sum of the digits of the square of ?

## Problem 6

## Problem 7

A carton contains milk that is % fat, an amount that is % less fat than the amount contained in a carton of whole milk. What is the percentage of fat in whole milk?

## 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 % discount as children. The two members of the oldest generation receive a % discount as senior citizens. The two members of the middle generation receive no discount. Grandfather Wen, whose senior ticket costs a)\, 34\qquad b)\, 36\qquad c)\, 42\qquad d)\, 46\qquad e)\, 48$