# 2000 AMC 8 Problems

## Contents

## Problem 1

Aunt Anna is years old. Caitlin is years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?

## Problem 2

Which of these numbers is less than its reciprocal?

## Problem 3

How many whole numbers lie in the interval between and

infinitely many

## Problem 4

In only $5%$ (Error compiling LaTeX. ! Missing $ inserted.) of the working adults in Carlin City worked at home. By the "at-home" work force had increased to $8%$ (Error compiling LaTeX. ! Missing $ inserted.). In there were approximately $15%$ (Error compiling LaTeX. ! Missing $ inserted.) working at home, and in there were $30%$ (Error compiling LaTeX. ! Missing $ inserted.). The graph that best illustrates this is:

$$ (Error compiling LaTeX. ! Missing $ inserted.)

## Problem 5

Each principal of Lincoln High School serves exactly one 3-year term. What is the maximum number of principals this school could have during an 8 year period?

## Problem 6

Figure is a square. Inside this square three smaller squares are drawn with the side lengths as labeled. The area of the shaded L-shaped region is

## Problem 7

What is the minimum possible product of three different numbers of the set

## Problem 8

Three dice with faces numbered through are stacked as shown. Seven of the eighteen faces are visible, leaving eleven faces hidden (back, bottom, between). The total number of dots visible in the view is