Difference between revisions of "2015 AMC 8 Problems"
(Created page with "==Problem 1== How many square yards of carpet are required to cover a rectangular floor that is <math>12</math> feet long and <math>9</math> feet wide? (There are 3 feet in a...") |
(→Problem 5) |
||
Line 38: | Line 38: | ||
[[2015 AMC 8 Problems/Problem 5|Solution]] | [[2015 AMC 8 Problems/Problem 5|Solution]] | ||
+ | |||
+ | ==Problem 6== | ||
+ | |||
+ | In <math>\bigtriangleup ABC</math>, <math>AB=BC=29</math>, and <math>AC=42</math>. What is the area of <math>\bigtriangleup ABC</math>? | ||
+ | |||
+ | <math>\textbf{(A) }100\qquad\textbf{(B) }420\qquad\textbf{(C) }500\qquad\textbf{(D) }609\qquad \textbf{(E) }701</math> | ||
+ | |||
+ | [[2015 AMC 8 Problems/Problem 6|Solution]] | ||
+ | |||
+ | ==Problem 7== | ||
+ | |||
+ | Each of two boxes contains three chips numbered <math>1</math>, <math>2</math>, <math>3</math>. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even? | ||
+ | |||
+ | <math>\textbf{(A) }\frac{1}{9}\qquad\textbf{(B) }\frac{2}{9}\qquad\textbf{(C) }\frac{4}{9}\qquad\textbf{(D) }\frac{1}{2}\qquad \textbf{(E) }\frac{5}{9}</math> | ||
+ | |||
+ | [[2015 AMC 8 Problems/Problem 7|Solution]] |
Revision as of 15:32, 25 November 2015
Problem 1
How many square yards of carpet are required to cover a rectangular floor that is feet long and
feet wide? (There are 3 feet in a yard.)
Problem 2
Point is the center of the regular octagon
, and
is the midpoint of the side
What fraction of the area of the octagon is shaded?
Problem 3
Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of miles per hour. Jack walks to the pool at a constant speed of
miles per hour. How many minutes before Jack does Jill arrive?
Problem 4
The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?
Problem 5
Billy's basketball team scored the following points over the course of the first 11 games of the season: If his team scores 40 in the 12th game, which of the following statistics will show an increase?
Problem 6
In ,
, and
. What is the area of
?
Problem 7
Each of two boxes contains three chips numbered ,
,
. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?