A few so-called earth-quake precursors had come to light, and there was even a theory known as dilatancy put forth to explain many of the phenomena that come before a large earthquake..
Trang 1difference is 2, what is their product?
Note: Figure not drawn to scale
12. In rectangle LMNO above, P is the midpoint of
side LM –— If the perimeter of the rectangle is 48
and side LM –— is twice the length of side LO –—, what
is the area of the shaded region?
13. If 643= 4x , what is the value of x?
14. Points P, Q, R, and S lie on a line in that order If
PS — is twice as long as PR —and four times as long
as PQ –––, what is the value of ?
15. The figure above shows the graph in the xy-plane
of a quadratic function with a vertex at (m, n).
What is the value of m?
QS PQ
is 110, what is the least of these integers?
17. According to the data in the table above, by what percent did the number of applicants to Collins College increase from 1990 to 1995? (Disregard the % symbol when entering your answer into the grid For instance, grid 50%
as 50.)
18. A jar contains only black, white, and red mar-bles If randomly choosing a black marble is four times as likely as randomly choosing a white marble, and randomly choosing a red marble is five times as likely as randomly choosing a black marble, then what is the smallest possible num-ber of marbles in the jar?
NUMBER OF APPLICANTS
TO COLLINS COLLEGE YEAR
1980 1985 1990 1995 2000
APPLICANTS 15,000 18,000 20,000 24,000 25,000
STOP
If you finish before time is called, you may check your work on this section only Do not turn to any other section of the test.
y
x
(4, 6) (–1, 6)
(m, n)
O
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3. Rachel’s - driving is not surprising, given that she spends - hours each day en-snarled in traffic delays
(A) antipathy for delightful (B) penchant for uncountable (C) predilection for dreary (D) proclivity for desperate (E) aversion to insufferable
4. Many medical practices once considered “state
of the art” are now thought to be - by physi-cians who are often incredulous that such bar-baric acts were once -
(A) primitive sanctioned (B) ingenious approved (C) boorish censured (D) innovative endorsed (E) foolhardy condemned
5. The Prime Minister had vetoed the proposal several times in the past; thus, it came as a great surprise to the public when he - the same law in his most recent speech
(A) articulated (B) sanctioned (C) denounced (D) initiated (E) abbreviated
1. If John had not been there to - when
ten-sions began to rise at the meeting, a fight
would surely have ensued
(A) intervene
(B) coalesce
(C) harass
(D) intermingle
(E) exacerbate
2. The defendant hoped that the testimony of the
surprise witness would corroborate his alibi
and - him of the crime of which he had
been accused
(A) convoke
(B) synthesize
(C) impeach
(D) absolve
(E) magnify
Time—25 minutes
24 questions
Turn to Section 6 of your answer sheet to answer the questions in this section.
Directions: For each question in this section, select the best answer from among the choices given and
fill in the corresponding circle on the answer sheet
Each sentence below has one or two blanks,
each blank indicating that something has been
omitted Beneath the sentence are five words
or sets of words labeled A through E Choose
the word or set of words that, when inserted
in the sentence, best fits the meaning of the
sentence as a whole
EXAMPLE:
Rather than accepting the theory
unquestion-ingly, Deborah regarded it with -
(A) mirth
(B) sadness
(C) responsibility
(D) ignorance
(E) skepticism
A B C D E
Trang 3“Dying with dignity” is a topic that has inspired deep debate among the members of the medical community Should an individual
be allowed to determine when he or she wants
to die? Should a person who is merely receiv-ing palliative care that provides no hope of a cure be allowed to tell a doctor to stop all treatment so she can die in peace? How can a doctor know if a patient has the mental capac-ity to decide for herself that the time has come
to stop fighting the disease? It is a challenging and persistent debate
8. As used in line 6, “palliative” most nearly means (A) punitive
(B) remedial (C) analgesic (D) curative (E) altruistic
9. The passage suggests that in cases of extreme illness, doctors may have difficulty in deter-mining their patients’
(A) state of mind (B) prognosis (C) quality of life (D) tolerance of pain (E) ability to remember facts
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Questions 6–7 are based on the following passage.
The reverence for their goddess of protection
accounts for the respect Navajos show to the
women of their tribe The tradition is that a
man never lifts his hand against a woman,
although it is not an unusual thing for a
squaw to administer a sound thrashing to a
warrior husband who has offended her All of
the sheep, which constitute the great wealth
of the tribe, are owned by the women, and in
the various families the line of descent is
al-ways on the side of the women The Navajos
have little or no idea of a future existence but
are firm believers in the transmigration of
souls For this reason they have great
rever-ence for different animals and birds, which
are supposed to be the re-embodiment of
departed spirits of Navajos
6. Based on the information in the passage, with
which of the following statements would the
author most likely agree?
(A) Navajo warriors obey their wives
obsequiously
(B) Birds are a particularly vital food source
for the Navajo
(C) A Navajo man who disrespects a woman
would likely face censure
(D) The Navajo do not believe in reincarnation
(E) In the winter, the Navajo migrate to
warmer climates
7. The word “administer” in line 6 most nearly
means
(A) manage
(B) maintain
(C) govern
(D) rehearse
(E) dispense
Line
5
10
15
First passage: “The Navajo Indians,” William M Edwardy, Harper’s Weekly, July 1890
Second passage: Copyright 2004 Mark Anestis All rights reserved.
Line 5
10
based on the content Answer the questions on
the basis of what is stated or implied in the
pas-sage and in any introductory material that may
be provided
Trang 4The following passage is excerpted from a recent
book about seismology, the study of earthquakes.
In the 1970s, there was great optimism about
earthquake prediction A few so-called
earth-quake precursors had come to light, and there
was even a theory (known as dilatancy) put
forth to explain many of the phenomena that
come before a large earthquake A series of
foreshocks is an example of a precursor
How-ever, since foreshocks look just like any other
earthquakes, they are not in themselves very
useful in prediction From all points around
the globe, there are numerous anecdotal
re-ports about other precursors, earthquake
folk-lore, if you will
Many widely reported earthquake
precur-sors are related to groundwater A few hours
before a large earthquake, marked changes
have been reported in the level or flow of wells
and springs Groundwater has also reportedly
changed temperature, become cloudy, or
ac-quired a bad taste Occasionally, electrostatic
phenomena such as earthquake lights (similar
to St Elmo’s fire that appears on ships during
electrical storms) and changes in the local
magnetic field have been reported Anecdotal
reports also persistently include the strange
behavior of animals, which might be linked to
electrostatic phenomena or foreshocks
Changes in strain and creep (silent tectonic
motion, without accompanying earthquake)
along a fault normally locked by friction could
also be considered precursors
In China in the 1970s, it became popular
for people to predict earthquakes using
“back-yard” measurements such as the monitoring
of well levels and observation of farm animals
At least one earthquake, the Haicheng quake
in 1975, was successfully predicted and a
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Haicheng earthquake had hundreds of fore-shocks, making it an easier-than-average earthquake to predict Groundwater changes and anomalous animal behavior were also re-ported (for example, hibernating snakes sup-posedly awoke and froze to death) In China,
“evacuation” meant that compulsory outdoor movies were shown, so that when the quake did happen and the town was severely dam-aged, no one was killed But Chinese seismol-ogists missed predicting the catastrophic Tangshan earthquake, in which at least 250,000 reportedly perished
10. Which of the following is the best title for this passage?
(A) The Effects of Earthquakes on Groundwater
(B) The Search for Earthquake Precursors (C) A Novel Theory of the Origin of Earthquakes
(D) A History of Chinese Earthquakes (E) How Animals Anticipate Earthquakes
11. The passage indicates that foreshocks are
“not very useful” (lines 9–10) in predicting earthquakes because they
(A) are exceptionally difficult to detect (B) occur simultaneously with changes in groundwater
(C) are not part of the theory of dilatancy (D) interfere with electrostatic phenomena (E) are impossible to distinguish from earth-quakes themselves
Line
5
10
15
20
25
30
35
Excerpted from Furious Earth, by Ellen J Prager, McGraw-Hill, New York, 2000 Reproduced with permission of The McGraw-Hill Companies.
40
45
50
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ported to change immediately prior to an
earthquake (lines 16–20)?
I density
II clarity
III flow
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
13. Which of the following could be considered a
logical inconsistency in the passage?
(A) The passage states that foreshocks are
not useful predictors of earthquakes but
then cites foreshocks as instrumental to
predicting an earthquake
(B) The passage says that the Chinese are
in-terested in predicting earthquakes but
then says that they were devastated by
the Tangshan earthquake
(C) The passage reports that animals
be-haved strangely before an earthquake
but then attributes this behavior to
elec-trostatic phenomena
(D) The passage states that the town of
Haicheng was safely evacuated but then
says that its citizens were forced to
watch outdoor movies
(E) The passage suggests that both strain
and creep could be considered
earth-quake precursors
(A) to describe an application of a theory (B) to provide an alternative perspective (C) to recount a scientific experiment (D) to summarize the ancient origins of a theory
(E) to demonstrate the difficulties of employ-ing a technique
15. The passage suggests that the Tangshan earthquake
(A) was caused by strain and creep (B) was preceded by changes in the ground-water
(C) caused more damage than the Haicheng earthquake did
(D) was preceded by several foreshocks (E) was anticipated by the theory of dilatancy
16. In line 46, the word “evacuation” is placed in quotations in order to
(A) imply that an action was ineffective (B) indicate that it is an archaic term (C) emphasize the primitiveness of Chinese scientific methods
(D) suggest that a certain practice was unconventional
(E) underscore that an action was intended, but not implemented
Trang 6GO ON TO THE NEXT PAGE
The following passage contains an excerpt taken
from an anthology of autobiographies of
Amer-ican women.
On landing in America, a grievous
dis-appointment awaited us; my father did not
meet us He was in New Bedford,
Massachu-setts, nursing his grief and preparing to return
to England, for he had been told that the John
Jacob Westervelt had been lost at sea with every
soul on board One of the missionaries who met
the ship took us under his wing and conducted
us to a little hotel, where we remained until
father had received his incredible news and
rushed to New York He could hardly believe
that we were really restored to him; and even
now, through the mists of more than half a
cen-tury, I can still see the expression in his wet eyes
as he picked me up and tossed me into the air
I can see, too, the toys he brought me—
a little saw and a hatchet, which became the
dearest treasures of my childish days They
were fatidical1gifts, that saw and hatchet; in
the years ahead of me I was to use tools as
well as my brothers did, as I proved when
I helped to build our frontier home
We went to New Bedford with father, who
had found work there at his old trade; and
here I laid the foundations of my first
child-hood friendship, not with another child, but
with my next-door neighbor, a ship-builder
Morning after morning, this man swung me
on his big shoulder and took me to his
ship-yard, where my hatchet and saw had violent
exercise as I imitated the workers around me
Discovering that my tiny petticoats were in
my way, my new friends had a little boy’s suit
made for me; and thus emancipated, at this
tender age, I worked unwearyingly at his side
all day long and day after day
The move to Michigan meant a complete
upheaval in our lives In Lawrence we had
around us the fine flower of New England
cumstances, were associated with the leading spirits and the big movements of the day When we went to Michigan, we went to the wilderness, to the wild pioneer life of those times, and we were all old enough to keenly feel the change
Every detail of our journey through the wilderness is clear in my mind My brother James met us at Grand Rapids with what, in those days, was called a lumber-wagon, but which had a horrible resemblance to a vehicle from the health department My sisters and I gave it one cold look and turned from it; we were so pained by its appearance that we re-fused to ride in it through the town Instead,
we started off on foot, trying to look as if we had no association with it, and we climbed into the unwieldy vehicle only when the city streets were far behind us
17. Immediately upon arriving in America, the au-thor was cared for by
(A) John Jacob Westervelt (B) her father
(C) a missionary (D) a childhood friend (E) a shipbuilder neighbor
18. In line 12, the word “restored” most nearly means (A) updated
(B) refurbished (C) put into storage (D) deposited (E) returned
1 Prophetic
Excerpted from “The Story of a Pioneer” by Anna Howard Shaw,
in Autobiographies of American Women: An Anthology
© 1992 by Jill Ker Conway, ed., pp 475–477
Line
5
10
15
20
25
30
35
45
50
55
60
Trang 7her life?
(A) She gladly provides for their needs
(B) She considers herself their equal
(C) She feels overly dependent on them
(D) She wishes to avoid them
(E) She believes that they suppress her
wishes
20. The author was “emancipated” (line 34) so
that she might more easily
(A) spend time with her father
(B) play with her young friends
(C) travel throughout New Bedford
(D) work with tools
(E) move to Michigan
21. In line 43, the word “movements” most nearly
means
(A) travels
(B) cosmetic alterations
(C) cultural changes
(D) physical actions
(E) mechanical workings
22. The author indicates that she regarded New
England as superior to Michigan in that New
England
I had humbler citizens
II was more culturally developed
III had finer gardens
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
(A) eager (B) awed (C) fearful (D) resentful (E) bewildered
24. The sisters refused to ride in the lumber wagon mainly because
(A) they were embarrassed by its appearance
(B) they felt it was unsafe (C) they had bad memories of it (D) it was cold
(E) it lacked sufficient room for both of them
STOP
If you finish before time is called, you may check your work on this section only Do not turn to any other section of the test.
Trang 8GO ON TO THE NEXT PAGE
1. If 4x + 5 = 20, what is the value of 4x + 8?
(A) 3
(B) 7
(C) 16
(D) 23
(E) 30
2. If one serving of cereal is cup, how many
servings are in 3 pints of cereal? (1 pint =
2 cups)
(A) 3
(B) 9
(C) 18
(D) 27
(E) 36
1
3 3. If the radius of the circle with center O above is 4, what is the length of arc RST?
(A) 2π (B) 4π (C) 8π (D) 12π (E) 16π
R
T O
S
16 questions
Turn to Section 7 of your answer sheet to answer the questions in this section.
Directions: For this section, solve each problem and decide which is the best of the choices given Fill in
the corresponding circle on the answer sheet You may use any available space for scratchwork
1 The use of a calculator is permitted
2 All numbers used are real numbers
3 Figures that accompany problems in this test are intended to provide information useful in solv-ing the problems They are drawn as accurately as possible EXCEPT when it is stated in a spe-cific problem that the figure is not drawn to scale All figures lie in a plane unless otherwise indicated
4 Unless otherwise specified, the domain of any function f is assumed to be the set of all real num-bers x for which f(x) is a real number.
The number of degrees of arc in a circle is 360
The sum of the measures in degrees of the angles of a triangle is 180
r
A = πr2
C=2 πr
ᐉ
w
A = ᐉw A = 1 / 2bh V = ᐉwh V = πr2h c2= a2+ b2 Special right triangles
h
w h
r
h b c
a
2x
x
x s s
s
3
2
30°
60°
45° 45°
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Note: Figure not drawn to scale
4. In the triangle above, what is the value of x?
(A) 7
(B)
(C)
(D)
(E)
5. For x > 0, let ∇x be defined by the equation
∇x = 3x − 3 Which of the following is
equiv-alent to ?
(A) ∇2
(B) ∇3
(C) ∇6
(D) ∇8
(E) ∇9
6. Stephanie can clean a pool in 1 hour, and
Mark can clean the same pool in 1.5 hours If
the rate at which they work together is the sum
of their rates working separately, how many
minutes should they need to clean the pool if
they work together? (1 hour = 60 minutes)
(A) 24 minutes
(B) 36 minutes
(C) 60 minutes
(D) 72 minutes
(E) 100 minutes
7. Which of the following has the greatest value?
(A) (1003)4
(B) (1005)(1006)
(C) (10,000)4
(D) (1002× 1002)2
(E) (1,000,000)3
∇
∇
7 3
28 3
14 3
7 3
7 2
8. Line m (not shown) is the reflection of line l over the x-axis What is the slope of line m?
(A) 3/2 (B) 2/3 (C) 0 (D) −2/3 (E) −3/2
9. If a2+ b2= 4 and ab = 5, what is the value of (a + b)2?
(A) 10 (B) 12 (C) 14 (D) 16 (E) 18
10. The figure above shows the dimensions, in feet, of a stone slab How many of these slabs are required to construct a rectangular patio
24 feet long and 12 feet wide?
(A) 18 (B) 20 (C) 24 (D) 36 (E) 48
30°
x
1 2 3 4 5 6 1
2 3 4 5 6
l
1 2
2
3
Trang 10were distributed in the ratio of 7:2:1 to the
first-, second-, and third-place finishers,
re-spectively How much money did the
first-place finisher receive?
(A) $1,200
(B) $1,700
(C) $2,400
(D) $8,400
(E) $10,000
12. If 2x + 3y = 7 and 4x − 5y = 12, what is the value
of 6x − 2y?
(A) 5
(B) 8
(C) 15
(D) 17
(E) 19
13. If r and s are positive integers and s + 1 = 2r,
which of the following must be true?
I s is odd
II r is even
III is an integer
(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II, and III
14. A bag contains six chips, numbered 1 through 6
If two chips are chosen at random without
re-placement and the values on those two chips
are multiplied, what is the probability that this
product will be greater than 20?
15
1
5
2 15
1 15
1
30
s
r+1r
15. In the sequence above, each term after the sec-ond is equal to the product of the two preced-ing terms For example, the third term, −8, is the product of 2 and −4 How many of the first
100 terms of this sequence are negative? (A) 33
(B) 34 (C) 50 (D) 66 (E) 67
16. In the figure above, points C and D are
mid-points of edges of a cube A triangle is to be
drawn with R and S as two of the vertices.
Which of the following points should be the third vertex of the triangle if it is to have the largest possible perimeter?
(A) A
(B) B
(C) C
(D) D
(E) E
R
B C
D
A
STOP
If you finish before time is called, you may check your work on this section only Do not turn to any other section of the test.