Each third-grade classroom at Pearl Creek Elementary has 18students and 2 pet rabbits.How many more students thanrabbits are there in all 4 of the third-grade classrooms?(A)48(B)56(C)64(D)72(E)802012 AMC 10B, Problem #1—2012 AMC 12B, Problem #1—“Find how many more students than rabbits are in one classroom.”Difficulty:10: Easy12: EasySMP-CCSS:2CCSS-M:4.OA31
A circle of radius 5 is inscribed in a rectangle as shown. Theratio of the length of the rectangle to its width is2 : 1. Whatis the area of the rectangle?2012 AMC 10B, Problem #2—2012 AMC 12B, Problem #2—“Find the width of the rectangle.”Difficulty:10: Easy12: EasySMP-CCSS:2CCSS-M:6.G12
The point in thexy-plane with coordinates(1000,2012)isreflected across the liney= 2000. What are the coordinatesof the reflected point?(A)(998,2012)(B)(1000,1988)(C)(1000,2024)(D)(1000,4012)(E)(1012,2012)2012 AMC 10B, Problem #3—“Find how many units the original point is above the line ofreflection.”Difficulty:Medium EasySMP-CCSS:2, 7CCSS-M:G-CO.53
When Ringo places his marbles into bags with 6 marbles perbag, he has 4 marbles left over. When Paul does the same withhis marbles, he has 3 marbles left over. Ringo and Paul pooltheir marbles and place them into as many bags as possible,with 6 marbles per bag. How many marbles will be left over?2012 AMC 10B, Problem #4—“Find how many bags the individuals’ extra marbles will fill.”Difficulty:EasySMP-CCSS:2CCSS-M:4.OA34
Anna enjoys dinner at a restaurant in Washington, D.C., wherethe sales tax on meals is10%. She leaves a15%tip on theprice of her meal before the sales tax is added, and the taxis calculated on the pre-tip amount.She spends a total of$27.50for dinner. What is the cost of her dinner without taxor tip?(A)$18(B)$20(C)$21(D)$22(E)$242012 AMC 10B, Problem #5—“What is the total amount as a percentage of the dinner price?”Difficulty:Medium EasySMP-CCSS:2, 4CCSS-M:7.EE35
In order to estimate the value ofx-ywherexandyarereal numbers withx > y >0, Xiaoli roundedxup by asmall amount, roundedydown by the same amount, andthen subtracted her rounded values.Which of the followingstatements is necessarily correct?