Problem 1
Kymbrea^s comic book collection currently has 30 comrc books in it, and she is adding to her col lectio n at 岀e rate of 2 comic books per month. LaShawn's collection currently has 10 comic books in it. and he is adding to his collection at the rate of 6 comrc books per month. After how many months will LaShawn's collection have twice as many comic books as Kymbrea's?
(A) 1 (B) 4 (C) 5 (D) 20 (E) 25
Problem 2
Real numbers it y, and z satify the inequalities 0 V 忑 V ]* — 1 < y < 0, and 1 < s < 2. Which of the following numbers is necessarily positive?
(A) y + (B) y + xz (C) y + y2 (D) y + 2y2 (E) y + z
Problem 3
培训机构网站Suppod that x and ware nonzero real numbers such that — cococ= — 2. What is thE value of ?
x — Ay — y
(A) -3 (B) -1 (C) 1 (D)2 (E)3
Problem 4
Sarnia t off on her bicycle Io visit her friend, traveling at an average speed of 17 kilometers per hour When she had gone half the distance to her friend's hour a tire went flat, and she walked the rest of the way at 5 kilometers per hour In all it took her 14 minutes to reach her friend's hou. In kilometers rounded to the nearest tenthr how far did Samia walk?
(A) 2.0 (B) 2.2 (C) 2.8 (D) 3.4 (E) 4.4
Problem 5
The data t [6,19,33,33, 39,41,41* 43,51,57] has median Q2 = 10, first quartile Qi =33’ and third quartife Q；j = 43, An outlier in a data t is a value that is more than 1.5 times the interquartile range below the first quartile (Q i) or more than 1.5 times the in terquartile range above the third quartile (Qs), where the interquartile range is defined as — Qr How many outliers does this data t have?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Problem 6
The circle having (CL 0) and (8,6) as the endpoints of a diameter intercts the r-axis at a cond paint. What is the ^-coordinate of this point?
(A) 4x/2 (B) 6 (C) 5x/2 (D) 8 (E)
Problem 7
The functions sin(.r) and cos(t) are periodic with least period 27r, What is the least period of the function
7T
(A) — (B) 7T (C) 2?r (D) 4tt (E) It's not periodic.
Problem 8
The ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal. What is the square of the ratio of the short side to the long side of this rectangle?
Problem 9
A circle has center (— 10t —4) and radius 13. Another circle has center (3,9) and radius \/65. The line passing through the two points of in terction of the two circles has equation 忑 + 期=u What is < ?
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(A) 3 (B) 3\/3 (C) 4辺 (D) 6 (E) y
Problem 10
AtTypico High School, calibration60% of the students like dancing, and the rest dislike it Of tho who like dancing, 上海光华剑桥80% say that they like it, and the rest say that they dislike it. Of tho who dislike dancing, 90% 火烈鸟的英文say that they dislike it’ and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
(A) 10% (B) 12% (C) 20% (D) 25% (E) 33；%
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Problem 11
Call a positive integer monotonous if it is a one-digit number or its digits, when read from left to right, form either a strictly increasing or a strictly decreasing quence. For example, 3+ 23578, and 987620 are monotonous, but 7434, and 23557 are not. How many monotonous positive integers are there?
(A) 1024 (13) 1524 (C) 1533 (D) 1536 (E) 2048
Problem 12
What is the sum of the roots ot zl~ = 64 th al have a positive real part?
(A) 2 旅美大熊猫回国(B) 4 (G)迈 + M (D)2“+価 (E) (1 soccer是什么意思十苗)+ (1 + 箱”
Problem 13
In the figure below, 3 of the G disks are to be painted blue, 2 are to be paint巳"red, and ] is to be painted green. Two paintings that can be obtained from one another by a rotation or a rejection of the entire figure are considered the same. How many different paintings are possible?
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