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Problem 20

Charlyn walks completely around the boundary of a square whose sides are each 5 km long. From any point on her path she can see exactly 1 km horizontally in all directions. What is the area of the region consisting of all points Charlyn can see during her walk, expressed in square kilometers and rounded to the nearest whole number?

(A) 24 (B) 27 (C) 39 (D) 40 (E) 42

ANSWER: C

Problem 19

Mrs.Walter gave an exam in a mathematics class of five students. She entered the scores in random order into s spreadsheet, which recalculated the class average after each score was entered. Mrs.Walter noticed that after each score was entered, the average was always an integer. The scores(listed in a ascending order) were 71,76,80,82,and 91. What was the last score Mrs.Walter entered?

(A) 71 (B) 76 (C) 80 (D) 82 (E) 91

ANSWER: 80

Problem 18

Two different prime numbers between 4 and 18 are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained?

(A) 21 (B) 60 (C) 119 (D) 180 (E) 231

ANSWER: C

Problem 17

At Wootton High School, 2/5 of the freshmen and 4/5 of the sophomores took the math competition. Given that the number of freshmen and sophomore contestants was the same, which of the following must be true?

(A) There are five times as many sophomore as freshmen.

(B) There are twice as many sophomore as freshmen.

(C) There are as many freshmen as sophomores.

(D) There are twice as many freshmen as sophomore.

(E) There are five times as many freshmen as sophomores.

Problem 16

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

Problem 15

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

Problem 14

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

Problem 13

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

Problem 12

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