Cagney can frost a cupcake every 20 seconds and Lacey canfrost a cupcake every 30 seconds.Working together, howmany cupcakes can they frost in 5 minutes?
(A)10(B)15(C)20(D)25(E)30
2012 AMC 10A, Problem #1—2012 AMC 12A, Problem #2—“Find how many cupcakes Cagney and Lacey can make individuallyin five minutes.”
Difficulty:
10: Easy
12: Easy
SMP-CCSS:
2
CCSS-M:
N-Q.1
1

A square with side length 8 is cut in half, creating two
congruent rectangles. What are the dimensions of one of these
rectangles?
(A)
2 by 4
(B)
2 by 6
(C)
2 by 8
(D)
4 by 4
(E)
4 by 8
2012 AMC 10A, Problem #2—
“Findthedimensionsoftherectangleincomparisontothesquare.”
Difficulty:
Easy
SMP-CCSS:
2, 7
CCSS-M:
6.G1
2

A bug crawls along a number line, starting at-2. It crawls to-6, then turns around and crawls to 5. How many units doesthe bug crawl altogether?
2012 AMC 10A, Problem #3—2012 AMC 12A, Problem #1—“Find each of the distances covered with absolute values.”
Difficulty:
10: Easy
12: Easy
SMP-CCSS:
2, 4
CCSS-M:
N-VM.1
3

Let∠ABC= 24◦and∠ABD= 20◦. What is the smallestpossible degree measure for∠CBD?
2012 AMC 10A, Problem #4—“Consider the fact thatABis a common ray to both angles.”
Difficulty:
Medium Easy
SMP-CCSS:
1, 5
CCSS-M:
7.G5
4

Last year 100 adult cats, half of whom were female, werebrought into the Smallville Animal Shelter. Half of the adultfemale cats were accompanied by a litter of kittens.Theaverage number of kittens per litter was 4.What was thetotal number of cats and kittens received by the shelter lastyear?
2012 AMC 10A, Problem #5—“Find how many adult cats have a litter of kittens.”
Difficulty:
Medium Easy
SMP-CCSS:
1
CCSS-M:
5.NF4a
5