Diﬃculty:Medium EasyCCSS-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 equationsy=a,y=-b,x=-c, andx=d, wherea,b,c, anddareall positive numbers.Which of the following represents thearea 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+bd2011 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 boughtpencils at the school bookstore. Each of these students boughtthe same number of pencils, and this number was greater than1. The cost of a pencil in cents was greater than the numberof pencils each student bought, and the total cost of all thepencils 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 of1771?”Diﬃculty:Medium HardCCSS-M:A-CED.3.Represent constraints by equations or inequalities, and by systems of equationsand/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.10
SquareEFGHhas one vertex on each side of squareABCD.PointEis onABwithAE= 7·EB. What is the ratio ofthe area ofEFGHto the area ofABCD?(A)4964(B)2532(C)78(D)5√28(E)√1442011 AMC 10A, Problem #11—“What is the length ofEB?”Solution11