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Riders on a Ferris Wheel travel in a circle in a vertical plane. A particular wheel has radius 20 feet and revolves at the constant rate of one revolution per minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 10 vertical feet above the bottom?
(A) 5 (B) 6 (C) 7.5 (D) 10 (E) 15
ANSWER: D
Andy’s lawn has twice as much area as Beth’s lawn and three times as much as Carlos’ lawn.Carlos’ lawn mower cuts half as fast as Beth’s mower and one third as fast as Andy’s mower. If they all start to mow their lawns at the same time, who will finish first?
(A) Andy (B) Beth (C) Carlos (D) Andy and Carlos tie for first
(E) All three tie
ANSWER: B
Four distinct circles are drawn in a plane. What is the maximum number of points where at least two of the circles intersect?
(A) 8 (B) 9 (C) 10 (D) 12 (E) 16
ANSWER: D
The Fibonacci sequence 1,1,2,3,5,8,13,21,…starts with two 1 , and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?
(A) 0 (B) 4 (C) 6 (D) 7 (E) 9
ANSWER:C
Chandra pays an online service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48, but in January her bill was $17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?
(A) $2.53 (B) $5.06 (C) $6.24 (D) $7.42 (E) $8.77
ANSWER: D
Each day, Jenny ate 20% of the jellybeans that were in her jar at the beginning of that day. At the end of the second day, 32 remained. How many jellybeans were in the jar originally?
(A) 40 (B) 50 (C) 55 (D) 60 (E) 75
ANSWER: B
In the year 2021, Frost middle school will host a math competition. Let L,M, and N be distinct positive integers such that the product L*M*N=2001. What is the largest possible value of the sum L+M+N?
(A) 23 (B) 55 (C) 99 (D) 111 (E) 671
ANSWER: E
Teams A and B are playing in a basketball league where each game results in a win for one team and a loss for the other team. Team A has won 2/3 of its games and team B has won 5/8 of its games. Also, team B has won 7 more games and lost 7 more games than team A. How many games has team A played?
(A) 21 (B) 27 (C) 42 (D) 48 (E) 63
ANSWER： C
The acute angles of a right triangle are A degrees and B degrees, where A>B and both A and B are prime numbers. What is the least possible value of B?
(A) 2 (B) 3 (C) 5 (D) 7 (E) 11
ANSWER: D
The three highest-placing teams in a high school debate tournament are the teams from F,G,H high schools. Each team has exactly two members. The individuals on these three teams are M,N,O,P,S,and T. The following is the case:
S is on the team from G high school.
T is on the second-place team.
M and P are not on the same team.
P’s team places higher than N’s team.
The team from G high school places higher than the team form H high school.
S’s teammate could be any one of the following except:
(A)M
(B)N
(C)O
(D)P
(E)T
ANSWER: B