# 2021 Mock AMC 8 Problems

## Contents

## Problem 1

What is the value of ?

https://artofproblemsolving.com/wiki/index.php/2021_Mock_AMC_8_Problems/Problem_1

## Problem 2

Aaron has a rectangular yard measuring feet by feet. How many inch by inch rectangular bricks can he fit in his yard?

https://artofproblemsolving.com/wiki/index.php/2021_Mock_AMC_8_Problems/Problem_2

## Problem 3

Amy, Bob, Cassie, and Darren are on a camping trip. Each of them has choices for what they wear on day of the camping trip. How many different arrangements of what they wear are possible on day of the camping trip?

## Problem 4

A rectangle with positive integer side lengths has area . In how many ways is this possible?

## Problem 5

Fiona leaves her house to go to the airport. She drives for minutes at a constant rate of miles per hour, then walks for minutes at a constant rate of miles per hour. She then goes on a train going 50 miles per hour for 12 minutes. How far has she traveled?

## Problem 6

Hexagon has side length . What is the area of this hexagon rounded to the nearest tenth?

## Problem 7

The number is a positive digit integer.

•When is divided by , the remainder is

•When is divided by , the remainder is

• is a perfect square.

What is the sum of the digits of ?

## Problem 8

How many many zeros are at the right of the last nonzero digit of the number ?

## Problem 9

Isosceles trapezoid has . Point is on such that is perpendicular to and that = . and are extended to point to make isosceles triangle . Point is units away from the midpoint of . What is the area of isosceles trapezoid ?

## Problem 10

Maddie picks numbers between and . The probability that both numbers are less than can be expressed in the form where and are relatively prime positive integers. What is + ?

## Problem 11

Which of the following numbers is the smallest?

, , , ,

## Problem 12

Isosceles has = degrees. What is the sum of all possible values for ?

## Problem 13

Real numbers and has these following conditions:

=

The quadratic equation used to solve for can be expressed in the form . What is ?