Difficulty medium easy ccss ms cp1 describe events as

Difficulty: Medium Easy
CCSS-M: S-CP.1. Describe events as subsets of a sample space (the set of outcomes) using characteristics
(or categories) of the outcomes, or as unions, intersections, or complements of other events.
8

A rectangular region is bounded by the graphs of the equations
y = a , y = - b , x = - c , and x = d , where a , b , c , and d are
all positive numbers. Which of the following represents the
area of this region?
(A) ac + ad + bc + bd (B) ac - ad + bc - bd (C)
ac + ad - bc - bd
(D) - ac - ad + bc + bd (E) ac - ad - bc + bd
2011 AMC 10A, Problem #9—
“What are the height and width of the rectangle?”
9

A majority of the 30 students in Ms. Demeanor’s class bought
pencils at the school bookstore. Each of these students bought
the same number of pencils, and this number was greater than
1. The cost of a pencil in cents was greater than the number
of pencils each student bought, and the total cost of all the
pencils was $17 . 71 . What was the cost of a pencil in cents?
2011 AMC 10A, Problem #10—
2011 AMC 12A, Problem #7—
“What are the factors of 1771 ?”
Difficulty: Medium Hard
CCSS-M: A-CED.3. Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
10

Square EFGH has one vertex on each side of square ABCD .
Point E is on AB with AE = 7 · EB . What is the ratio of
the area of EFGH to the area of ABCD ?
(A)
49
64
(B)
25
32
(C)
7
8
(D)
5
√
2
8
(E)
√
14
4
2011 AMC 10A, Problem #11—
“What is the length of EB ?”
Solution
11