Hop Act PT 6
Hop Act PT 6
45 Minutes—75 Questions
                                                            You will also find questions about a section of the pas-
  DIRECTIONS: In the five passages that follow, certain sage, or about the passage as a whole. These questions
  words and phrases are underlined and numbered. In the do not refer to an underlined portion of the passage, but
  right-hand column, you will find alternatives for the rather are identified by a number or numbers in a box.
  underlined part. In most cases, you are to choose the one
  that best expresses the idea, makes the statement For each question, choose the alternative you consider
  appropriate for standard written English, or is worded best and fill in the corresponding oval on your answer
  most consistently with the style and tone of the passage document. Read each passage through once before you
  as a whole. If you think the original version is best, begin to answer the questions that accompany it. For
  choose “NO CHANGE.” In some cases, you will find in many of the questions, you must read several sentences
  the right-hand column a question about the underlined beyond the question to determine the answer. Be sure
  part. You are to choose the best answer to the question.  that you have read far enough ahead each time you
                                                            chose an alternative.
PASSAGE I
                 My Internship at Fritanga del Barrio
                                       [1]
          My grandmother is one of my best friends and an
the world.
                                       [2]
          Well aware of my enthusiasm for food, Grand-
Barrio.      5       Fritanga is the word for a restaurant that     5. Upon reviewing the preceding sentence the author decides to
                                                                       add the phrase “for me” to the sentence. Where is the best
serves home-cooked Nicaraguan food, and Barrio means                   place to insert the phrase?
that the most valuable part of the internship would be the       8.   F.   NO CHANGE
               8                                                      G.   more valuable
opportunity to observe the many aspects of a functioning              H.   valuablest
                                                                      J.   mostly valuable
restaurant.
                              [4]
         Perhaps I should have found his words more
replicating Grandmother’s specialty dishes with care. I          10. The writer would like to convey the satisfaction and honor
                                                     10              she would feel cooking her grandmother’s dishes at Fritanga
pictured customers feasting on my creations and praising my          del Barrio. The use of which of the following words would
                                                                     best accomplish the writer’s goal?
                                                                      F.   NO CHANGE
                                                                      G.   pride
                                                                      H.   total excitement
efforts at the meal’s end. I saw myself barking orders to prep        J.   skill
chefs who were not working fast enough to keep and maintain      11. A.    NO CHANGE
                                                          11         B.    maintaining pace
pace. I saw Randy at summer’s end begging me to work full-           C.    pacing
 11                                                                  D.    pace
time at a high salary.
                              [5]
         [1] The reality of those two very, very long intern-
ship months were not aligned with my imaginings. [2] Day         12. F.    NO CHANGE
                    12                                               G.    were aligned
                                                                     H.    was not aligned
after day, I came home exhausted from washing dishes, setting        J.    was aligned
and clearing tables, and from the fulfillment of many of the     13. A.    NO CHANGE
                                    13                               B.    with the fulfillment of
boring tasks that are required to make a restaurant operate          C.    from fulfilling
                                                                     D.    fulfilling
smoothly. [3] I am eager to someday put that kind of hard
create wonderful dining experiences for others.    14            14. Upon reviewing Paragraph 5 and realizing some
                                                                     information has been left out, the writer composes the
                                                                     following sentence:
                                                                          Randy was right, though: the opportunity to learn
                                                                          about the restaurant business was priceless.
                                                                     The most logical placement for this sentence would be:
                                                                     F.   before sentence 1.
                                                                     G.   after sentence 1.
                                                                     H.   after sentence 2.
                                                                     J.   after sentence 3.
PASSAGE II
scale. Held at wacked-out intervals, this event has publicized   17. A.   NO CHANGE
                    17                                               B.   irregular
inventions, presented revolutionary ideas to the general             C.   sporadically irregular
                                                                     D.   way off-beat
public, and exhibited noteworthy objects for wider viewing.
         There was a notable World’s Fair was held in            20. Which of the following provides the best transition from the
                   20                                                previous paragraph?
Philadelphia in 1876 to honor the 100th anniversary of the
                                                                     F.   NO CHANGE
signing of the Declaration of Independence. Organizers               G.   Another notable
                                                                     H.   Thereafter, a notable
                                                                     J.   In addition, a notable
this World Exposition, as was the first typewriter and a         22. F.   NO CHANGE
                    22                                               G.   Expo as was
prototype segment of cable that the Roebling Brothers                H.   Fair, as was
                                                                     J.   Exposition, as were
would later use to construct the Brooklyn Bridge.
symbol of the most famous city in France, Paris.                 25. Which of the following alternatives to the underlined
                                           25                        portion is LEAST acceptable?
         New York City hosted the World’s Fair in 1939.
                                                                     A.   Paris, France.
The fairgrounds in Queens included an 18-story solid white           B.   France: Paris.
                                                                     C.   France—Paris.
sphere called “the Perisphere.” This World Fair was notable          D.   France.
and around the city. Many viewers who watched the broad-        27. The writer is considering deleting the underlined phrase,
        27                                                          placing the period after the word fairgrounds. Should the
cast believed they were the subjects of a prank. They had           writer make this deletion?
clearly never seen a television before.                             A. Yes, because the phrase contains detail that is not
                                                                       required to understand the sentence or the paragraph.
                                                                    B. Yes, because the phrase contains detail that is not
                                                                       consistent with the tone or style of the essay.
                                                                    C. No, because the phrase contains detail that is neces-
                                                                       sary to establish Roosevelt as a popular leader.
                                                                    D. No, because the phrase contains detail relevant to
                                                                       understanding the scope of the television network that
                                                                       broadcast the address.
period and a one-day record of over 1 million visitors.    29   29. Upon reviewing this paragraph, the writer decides that a
                                                                    conclusory sentence is necessary. Which of the following
                                                                    would make the best final sentence of the essay?
                                                                30. Suppose the writer’s goal had been to write a brief essay
                                                                    focusing on the frequency of World Fair expositions.
                                                                    Would this essay successfully fulfill that goal?
What is a Planet?
Pluto, which at the time was commonly known to be the ninth        32. F.   NO CHANGE
                                         32                            G.   commonly known as
                                                                       H.   common know as
                                                                       J.   common known to be
planet in the Solar System. Since Pluto was discovered in          33. A.   NO CHANGE
                                33                                     B.   In addition,
1930, astronomers calculated the new planet’s mass to be               C.   When
                                                                       D.   DELETE the underlined portion.
roughly that of Earth. However, several subsequent calcula-
tions and discoveries led them to determine that Pluto was         34. F.   NO CHANGE
                                                          34           G.   has been
actually smaller than Earth’s moon. This new information               H.   had been
                                                                       J.   is
caused members of the IAU to ask an interesting question:
to write a definition of a planet. [2] Because planets are         35. The writer would like to convey the idea that writing a
    35                                                                 definition for the word planet is not as easy as some people
discovered so infrequently, astronomers had never before               may think. Which of the follow best accomplishes this
                                                                       specific goal?
delineated the defining features of a planet. [3] After spirited
                                                                       A.   NO CHANGE
                                                                       B.   draft
                                                                       C.   ink
                                                                       D.   construct
debate between their many members, the IAU settled on three        36. F.   NO CHANGE
             36                                                        G.   between its
conditions that any celestial body must meet before it can be          H.   between they’re
                                                                       J.   among its
properly called a planet. [4] First, it must orbit the Sun.
these first two conditions.   37                                   37. Upon reviewing the preceeding paragraph, the writer
                                                                       realizes that the following sentence has been left out:
                                                                            That’s right; astronomers had not yet reached con-
                                                                            sensus on a definition for the word planet!
                                                                       The most logical placement for this sentence would be:
                                                                       A.   after sentence 1.
                                                                       B.   after sentence 2.
                                                                       C.   after sentence 4.
                                                                       D.   after sentence 5.
the Sun. Since Pluto’s orbital path intersects with the one   39. A.      NO CHANGE
                                                        39        B.      the orbital path of
of Neptune, astronomers determined that Pluto does not            C.      that of
39                                                                D.      DELETE the underlined portion.
possess the dominant gravity required of a planet. Thus,
the IAU officially reclassified Pluto as a “dwarf planet.”    40. Which of the following alternatives to the underlined portion
             40                                                   is LEAST acceptable?
                                                                    F.    spontaneously
                                                                    G.    formally
                                                                    H.    properly
                                                                    J.    correctly
           The decision to reclassify Pluto was not without   41. Which of the following best transitions the reader from the
                           41                                     preceding paragraph to the current paragraph?
controversy, however. Some astronomers reasoned that
                                                                    A.    NO CHANGE
Pluto was a unique case in that it had been called a                B.    It was
                                                                    C.    They were
“planet” for decades. They contended that the new                   D.    The IAU was
tional pull must be a planet. The IAUs definition of the      44. F.     NO CHANGE
                                          44                      G.     IAU’s definition
word planet did not include the notion of moons,                  H.     IAUs’ definition
                                                                  J.     definition of the IAU
however, so it appears that Pluto is destined to remain
                                                              45.    Suppose the writer had intended to write a brief essay that
                                                                     discusses the planet status of Pluto. Would this essay
                                                                     successfully fulfill the writer’s goal?
married a Russian princess named Raissa Mychetsky in 1877.           47. The writer wants to make it clear that Ernest first traveled
                                                           47            to Saint Petersburg in 1877. To accomplish this goal, the
                                                                         phrase in 1877 would be best placed:
                                                                         A.   where it is now.
                                                                         B.   after the word Petersburg.
                                                                         C.   after the word taught.
In 1880, Ernest and Raissa moved to Paris where they raised              D.   after the word married.
two daughters who, later in life, would rank among the               48. F.   NO CHANGE
                                                   48                    G.   in
greatest female musicians ever.                                          H.   around
                                                                         J.   about
when Nadia’s sister, Lili, was born in 1893, she began taking        50. F.   NO CHANGE
                                                  50                     G.   Lili
                                                                         H.   Boulanger
                                                                         J.   Nadia
piano lessons. Lili would sit quiet in the corner of the room        51. A.    NO CHANGE
                                51                                       B.    quieter
during Nadia’s lessons, and to the delight of her parents, she           C.    quietly
                                                                         D.    quietlier
displayed perfect pitch at the age of two.
         Both Nadia and Lili studied music intensively into          52. Given that all of the choices are true, which one provides
                                  52                                     information that is most relevant to the focus of the
young adulthood. Nadia demonstrated remarkable talent on                 paragraph?
        52
the piano and organ yet she won numerous awards for                      F.   NO CHANGE
                                                                         G.   The sisters became good friends as they grew.
composition and performance at the Paris Conservatory.                   H.   The girls lived a privileged life in Paris.
                                                                         J.   Like most sisters, Nadia and Lili would argue
                                                                              occasionally.
who competed at a high level.         54                        54. The writer is considering deleting the preceding sentence.
                                                                    Should the writer make the deletion?
         [1] When World War I begun, Lili set aside             55. A.   NO CHANGE
                                       55                           B.   had begun
her promising musical career to serve her country in a              C.   began
                                                                    D.   had began
unique way. [2] Unfortunately, the strenuous demands
help, Lili created a charity that offered food, clothing,       56. F.   NO CHANGE
                                                  56                G.   clothes, as well as money
as well as money to French soldiers who had been                    H.   clothes, in addition to money
       56                                                           J.   clothing, and money
musicians before the war.        57                             57. For the sake of the logic and coherence of this paragraph,
                                                                    which of the following is the best ordering of the three
                                                                    numbered sentences?
                                                                    A.   NO CHANGE
                                                                    B.   2, 1, then 3
                                                                    C.   1, 3, then 2
                                                                    D.   2, 3, then 1
gifted musicians. Her classical musical students included the   59. A.   NO CHANGE
                                       59                           B.   music
American composer Aaron Copland and Academy-                        C.   musically
                                                                    D.   DELETE the underlined portion.
Award-winning composer Philip Glass. Nadia also taught
Jazz giants Errol Morris and Donald Byrd and renowned pop
PASSAGE V
         In the early 1960s, museums and art galleries, began     61. A.    NO CHANGE
                                             61                       B.    museums, and art galleries, began
to enthusiastically present the paintings of Roy Lichenstein.         C.    museums, and art galleries began
                                                                      D.    museums and art galleries began
Many critics celebrated these paintings and were hailing          62. F.    NO CHANGE
                                                  62                  G.    hailed
Lichenstein’s bold inventiveness. General audiences, more             H.    was hailing
                                                                      J.    did hail
accustomed to carefully rendered protraits and painstakingly
reactions? The answer lies on his subject matter: Lichenstien’s   64. F.    NO CHANGE
                               64                                     G.    around
                                                                      H.    in
                                                                      J.    over
form of entertainment. Lichenstein felt invigorated by the        66. Given that all of the choices are true, which one provides
                                       66                             information that is most relevant to the focus of the
challenge of creating art inspired by a medium that was               paragraph?
                          66
scorned by so-called intellectuals.                                   F.    NO CHANGE
               66                                                     G.    Lichenstein enjoyed reading comic books as a child.
                                                                      H.    Lichenstein felt invigorated by painting.
                                                                      J.    Lichenstein disagreed with intellectuals regarding their
                                                                            assessment of comic-book illustrations.
Lichenstein executed his works on canvases rather than              68. At this point, the writer would like to indicate that the
                                           68                           canvases used by Lichenstein were much larger than comic
comic book panels. In fact, many of his canvases measured               book panels. Which of the following best accomplishes the
                                                                        writers goal?
                                                                        F.   NO CHANGE
                                                                        G.   on blank canvases rather
                                                                        H.   on canvases much bigger
dozens of square feet in area. To match these enormous                  J.   grandly on canvases rather
one on the left is the most graphic. The title of the painting      72. F.   NO CHANGE
                            72                                          G.   most graphical
appears in large yellow letters above the flaming plane.                H.   more graphic
                                                                        J.   graphicest
         Many viewers vigorously contend that Whaam! is
many interpretations.     74     Whatever a viewer’s interpre-     74. At this point, the writer would like to add a sentence to
                                                                       illustrate how different people have interpreted Whaam!
tation, Lichenstein has clearly challenged the definition of art       Given that all are true, which of the following sentences best
                                                                       accomplishes the writers goal?
through his unorthodox style and subject matter.
                                                                         F. Some posit that the painting trivializes war violence,
                                                                            while others believe the explosive right panel serves to
                                                                            honor war heroes.
                                                                         G. Some really like the painting and some really dislike it.
                                                                         H. Some viewer’s enjoy the Ben-Day dots, while other
                                                                            viewers wish Lichenstein had instead blended colors to
                                                                            create color variations.
                                                                         J. Some people feel like they can look at Whaam! for
                                                                            hours, while others can’t stand Lichenstein’s use of
                                                                            primary colors.
                                                                   75.    Suppose the writer had intended to write a brief essay that
                                                                          dicussess how Ben-Day dots are used to create color
                                                                          variations. Would this essay successfully fulfill the writer’s
                                                                          goal?
                                                                                             END OF TEST
                                          ACT MATHEMATICS TEST 6
                                                60 Minutes—60 Questions
  DIRECTIONS: Solve each problem, choose the correct           but some of the problems may be best done without using
  answer, and then fill in the corresponding oval on your      a calculator.
  answer sheet.                                                Note: Unless otherwise stated, all of the following should
  Do not linger over problems that take too much time.         be assumed:
  Solve as many as you can; then return to the others in the   1. Illustrative figures are NOT necessarily drawn to scale.
  time you have left for this test.                            2. Geometric figures lie in a plane.
  You are permitted to use a calculator on this test. You      3. The word line indicates a straight line.
  may use your calculator for any problems you choose,         4. The word average indicates arithmetic mean.
  b
    A.   $5,600
    B.   $2,720
    C.   $1,350
    D.   $1,120
    E.   $1,080
    F.    5
          5
    G.
          2
          7
    H.
          2
    J. – 2
    K. – 5
    A. 1
    B. 3
    C. 4
    D. 17
    E. 18
F. √𝑛 = 6 – 3n
       G. √𝑛 = 3n – 6
       H.       n2 – 6 = 3n
       J.       n2 = 3n – 6
K. n2 – 6 = 3 + n
       A. 4.5 only
       B. 7.5 only
       C. 4.5 or 7.5
       D. –4.5 or –7.5
       E. –4.5 or 7.5
       F.   14
       G.   5√13
       H.   √130
       J.   √14
       K.   8
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   9. The Venn diagram below shows the number of students          DO FIGURING HERE
      at Central High School who own desktop computers,
      laptop computers, and/or tablet devices. Of the 500
      students at Central High School, what percent own both
      a laptop computer and a tablet device?
       A. 4%
                                    Desktop 20 Laptop
       B. 8%                        70            85
       C. 10%                               30
                                        25     40
       D. 14%
                                            160
       E. 57%                      70      Tablet
       F.   –3 only
       G.    4 only
       H.   –3 and 4 only
       J.   –4 and 4 only
       K.   –3, –4, and 4
       A.   hundreds place.
       B.   tenths place.
       C.   hundredths place.
       D.   ones/units place.
       E.   tens place.
       F.    136
       G.     54
       H.     36
       J.     15
       K.     12
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   13. 1.2 × 104 + 2.4 × 104 =                                    DO FIGURING HERE
       A.       3.6 × 104
       B.       3.6 × 108
       C.       3.6 × 1016
       D.       2.88 × 104
       E.       2.88 × 1016
       F.       135°
                                         2
       G.       145°                                  p
       H.       155°
       J.       165°                                  q
                                             1
       K.       175°
       A. 24 cm
       B. 16 cm
       C. 12 cm
       D. 8 cm
       E. 4 cm
       F.       ab
       G.       a
       H.       b
       J.       0
       K.       1
            2        6
   17. If       x=        , then x = ?
            7        11
                3
       A.       4
                4
       B.       3
                11
       C.
                21
                21
       D.
                11
                7
       E.
                11
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   18. Which of the following algebraic inequalities is                 DO FIGURING HERE
       represented by the graph below?
–3 –2 –1 0 1 2 3 x
       F.   –3≤      x   ≤   3
       G.   –2<      x   ≤   3
       H.   –3<      x   ≤   3
       J.   –2≤      x   <   3
       K.   –3≤      x   <   3
       A.   f (x + 2) – 4
       B.   f (x + 2) + 4
       C.   f (x – 2) – 4
       D.   f (x – 4) + 2
       E.   f (x + 4) – 2
       F. 100
       G. 49
       H. 30
       J. 25
       K. 17
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   22. If Calvin scored a total 2,178 points in 11 games of        DO FIGURING HERE
       bowling, what is Calvin’s average per game?
       F.   197
       G.   198
       H.   199
       J.   200
       K.   It cannot be determined based on the given
            information.
       D.
            5                                  θ
            3
            5                        8
       E.
            4
            1
       F.   3
            2
       G.   5
            6
       H.
            13
            7
       J.
            13
            6
       K.   7
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   25. Lines p and q, which lie in the standard (x, y) coordinate    DO FIGURING HERE
       plane, are perpendicular. Given that line p intersects the
       y-axis at –4 and the x-axis at –3, what is the slope
       of line q ?
             4
       A.    3
             3
       B.    4
       C.    0
             3
       D. – 4
             4
       E. – 3
       A.   3x5 – 18x3
       B.   3x5 + 12x3
       C.   3x5 – 12x4 + 12x3
       D.   9x5 + 6x4 – 9x3
       E.   9x5 +12x4 + 9x3
       F.   1:4
       G.   1:8
       H.   1:16
       J.   8:1
       K.   4:1
       A.   10 – i
       B.    7 – 7i
       C.   10 – 12i
       D.   22 + 7i
       E.   10 + 12i
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   30. What is the sum of the median and mode of the set of       DO FIGURING HERE
       numbers below?
7, 3, 4, 3, 8, 1, 1, 6, 2, 3, 5, 5, 9
       F. 3
       G. 4
       H. 7
       J. 12
       K. 14
   31. Set A consists of all odd integers between 0 and 10. Set
       B consists of all prime numbers less than 16. How many
       numbers do Set A and Set B have in common?
       A.   4
       B.   3
       C.   2
       D.   1
       E.   0
       F.       2
                                                       60°
       G. √3
                                                             a
       H. 2√2
       J. 3√2                                3
       K. 2√3
       A.   A = 5;       P = 2π
       B.   A = 10;      P = 4π
       C.   A = –5;      P = 4π
       D.   A = 10;      P= π
       E.   A = 5;       P= π
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   34. Kira wants to carpet the floor of a rectangular room that      DO FIGURING HERE
       is 18 feet by 30 feet. Assuming no waste and that she
       covers the entire floor, how many square yards of carpet
       will Kira need to purchase in order to complete the job?
       F. 540
       G. 270
       H. 180
       J. 60
       K. 30
   35. John took a job that paid him $100 per week. After
       arriving for work late on several occasions, John’s
       weekly salary was reduced by 10%. Then, after several
       weeks of timely arrivals and hard work, John’s weekly
       salary was increased by 20%. Since the increase, John’s
       weekly salary has remained unchanged. What is John’s
       current weekly salary?
       A.   $108
       B.   $109
       C.   $110
       D.   $118
       E.   $120
       F.   0.125
       G.   0.250
       H.   0.375
       J.   0.500
       K.   0.625
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   38. Which of the following is the equation of a circle in the     DO FIGURING HERE
       standard (x, y) coordinate plane that has a diameter of 8
       and its center at (–2, 4) ?
       F.   (x + 2)2 + (y – 4)2 = 16
       G.   (x – 2)2 + (y + 4)2 = 16
       H.   (x + 2)2 + (y + 4)2 = 16
       J.   (x + 2)2 + (y – 4)2 = 64
       K.   (x – 2)2 + (y + 4)2 = 64
       A.   0.16 A
       B.   0.64 A
       C.   0.84 A
       D.   1.00 A
       E.   1.16 A
   40. The figure below is a square that has been divided into
       three separate regions. One of the regions is shaded and
       the other two are unshaded as shown. What is the ratio
       of the shaded area to the total unshaded area?
       F.   3:1
       G.   2:1
       H.   1:1
       J.   1:2
       K.   1:3
       A.   (1, 3)
       B.   (2, 6)
       C.   (8, 2)
       D.   (–11, 0)
       E.   (–11, 3)
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   42. If �4 – 2𝑥� ≥ 10, then which of the following properly         DO FIGURING HERE
       expresses the solution set of 𝑥 ?
       F. 𝑥 ≤ – 3 or 𝑥 ≥ 7
       G. 𝑥 ≥ 7
       H. – 3 ≤ 𝑥 ≤ 7
       J. 𝑥 ≤ 7
       K. 𝑥 ≤ – 7 or 𝑥 ≥ 3
                           B
                                   28°    C
                                   A
                       E
                                         D
       A.   28°
       B.   44°
       C.   56°
       D.   62°
       E.   Cannot be determined from the given information
A B C D
       F.   27
       G.   28
       H.   29
       J.   30
       K.   31
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                                                                      DO FIGURING HERE
         Use the following information to answer
         questions 45-47.
                                20%
             30%                                       20-24
                                                       25-29
                                                       30-34
                                   22%                 35-39
                                                       40-44
                        18%
   45. What are the odds (in the age range:not in the age range)
       that, in a given year, the first actor chosen to appear in a
       commercial is in the 25-29 age range?
       A. 7:10
       B. 3:10
       C. 3:7
       D. 11:39
       E. 15:7
       F.   10
       G.   18
       H.   20
       J.   24
       K.   36
       A.   0.6
       B.   0.5
       C.   0.4
       D.   0.3
       E.   0.2
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   48. For which of the following equations are there no real   DO FIGURING HERE
       solutions for x when y = 0 ?
       F.   y = –2x2 + 4
       G.   y = 2x2 + 4
       H.   y = 2x2 – 4
       J.   y = 2x2
       K.   y = –2x2
–2π –π π 2π x
–1
                           π
       A. y = sin (x +       )
                           2
                           π
       B.   y = sin (x –     )
                           2
       C.   y = – cos x
       D.   y = cos (2x)
       E.   y = tan x
       F. 360
       G. 350
       H. 240
       J. 80
       K. 66
       A. – 21 + 2i
       B. – 21 – 18i
       C. 29 – 2i
       D. 29 – 6i
       E. 21 – 18i                                              GO ON TO NEXT PAGE
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         Use the following information to answer   DO FIGURING HERE
         questions 52-54.
f(𝑥) = 2𝑥 + 7
                             4𝑥 2
              g(𝑥) =
                                 3
              h(𝑥) = 6 – 𝑥 2 + 2𝑥
   52. h(–3) = ?
       F. 12
       G. 9
       H. 0
       J. –6
       K. –9
53. f(g(–3)) = ?
       A. 31
       B. 23
       C. 17
       D.    3
             4
       E.
             3
54. g(f(𝑥)) = ?
            16𝑥 2 + 196
       F.
                     3
            16𝑥 2 + 112𝑥 + 196
       G.
                             3
            8𝑥 2 + 32𝑥 + 53
       H.
                         3
            8𝑥 2 + 21
       J.
                 3
            8𝑥 2 + 7
       K.
                 3
                                                   GO ON TO NEXT PAGE
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   55. Phil wants to ride his bike 100 miles at a constant rate of      DO FIGURING HERE
       16 miles per hour. If Phil starts biking at 10:00 am, what
       time will it be when he finishes his 100-mile trip?
       A.    3:25 pm
       B.    3:15 pm
       C.    4:25 pm
       D.    4:15 pm
       E.    5:25 pm
                                   √3
   56. If the value of cos θ = –   2
                                     ,   which of the following could
       be true?
              π
       F. –       ≤ 𝜃 < 0
              4
                           π
       G.     0 ≤ 𝜃 <
                           4
              π            π
       H.         ≤ 𝜃 <
              4            2
              π            3π
       J.         ≤ 𝜃 <
              2             4
            3π
       K.         ≤ 𝜃 < π
             4
   57. Hailey has worked after school at a grocery store for the
       past five years. The table below displays Hailey’s
       hourly pay for each of the five years of her employment.
       Which of the following is equal to the sum of the median
       and the average of the five hourly-pay values in the table
       below?
       A.   $11.95
       B.   $12.20
       C.   $13.20
       D.   $13.45
       E.   $13.75
                                                                        GO ON TO NEXT PAGE
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   58. Triangle ABD and triangle BCD in the figure below            DO FIGURING HERE
       share side BD. Given the angle measures in the figure,
       which of the following sides is longest?
                                             B
       F.   AD
       G.   BD                             60° 61°
       H.   BC               A       61°             59°   C
       J.   CD
                                           59° 60°
       K.   AB
                                             D
                                                                1
   59. Amber, Bart, and Cam shared an apple pie. Amber ate
                                                                3
                                      1                         1
       of the pie. Bart then ate of the pie. Finally, Cam ate
                                      4                         2
       A.   8:6:5
       B.   4:3:5
       C.   4:3:6
       D.   3:4:5
       E.   3:2:1
                    𝑐𝑜𝑠2 θ+ 𝑠𝑖𝑛2 θ
   60. For all θ,                    =?
                        𝑡𝑎𝑛 θ
       F.   sin θ
       G.   cos θ
       H.   tan θ
       J.   csc θ
       K.   cot θ
                                                                      END OF TEST
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                                                         ACT READING TEST 6
                                                          35 Minutes—40 Questions
                                       DIRECTIONS: There are four passages in this test. Each
                                       passage is followed by several questions. After reading a
                                       passage, choose the best answer to each question and fill in
                                       the corresponding oval on your answer document. You
                                       may refer to the passages as often as necessary
              My eyes occasionally darted to my sides as I                      A. an omniscient narrator, who knows the thoughts of each
    surveyed my fellow riders. The four passengers seated to my                    referenced character.
 40 left were, in my best estimation, young twenty-something-                   B. an unnamed narrator who describes an adult city dweller.
    year-olds: two women and two men. The women were posi-                      C. an adult who recently moved to an urban location.
    tioned too acutely for me to see them fully, though I could                 D. a train conductor who is vigilant and very observant.
    hear them commenting about photos on a phone. The men were
     F.   is traveling to a job interview.                               A. The main character noticed mystery rider, heard music,
     G.   eventually became comfortable with city life.                     almost fell backwards, and marveled at shiny vertical
     H.   interviewed well and got the job.                                 bar.
     J.   felt like he needed a paying job.                              B. The main character marveled at shiny vertical bar, heard
                                                                            music, almost fell backwards, and noticed mystery rider.
                                                                         C. The main character heard music, marveled at shiny
3.   The main purpose of the second paragraph (lines 8-20) is to:           vertical bar, almost fell backwards, and noticed mystery
                                                                            rider.
     A. foreshadow the turmoil the main character would                  D. The main character heard music, marveled at shiny
        experience during the job interview.                                vertical bar, noticed mystery rider, and almost fell
     B. further describe the main character’s mental and emo-               backwards.
        tional state.
     C. draw a contrast between the main character’s emotions
        and those of the musicians at the foot of the stairs.       8.   What caused the main character to envy the young men and
     D. characterize the main character as an anxious mysophobe          women he encountered in the subway car (line 52)?
        who is also claustrophobic.
                                                                         F.   They wore fine leather shoes.
                                                                         G.   They could apparently afford expensive things.
4.   The use of the word “Finally” at the beginning of the third         H.   They had wealthy parents.
     paragraph (line 21) suggests that:                                  J.   They got two of the remaining seats on the subway car.
     F. They grew up in the city and had been best friends since
        high school.
     G. They were strangers who decided to engage in polite
        conversation during a crowded subway ride.
     H. They were friends who were wealthy enough to enjoy
        shopping for luxury items.
     J. They were well-dressed tourists visiting the city from
        Italy.
 40       The final episode of the series ends with Tony Soprano             11. According to Passage A, the realism that Jack Webb tried
    eating at a restaurant while being watched by a host of                      to recreate centered around:
    unfamiliar, suspicious characters. At a moment of almost
    unbearable suspense, the screen goes black and the show ends,                A.   police interrogations.
    leaving the viewer to ponder Tony Soprano's fate. Whatever it                B.   the golden age.
 45 might be, the options are grim.                                              C.   police work generally.
                                                                                 D.   crime during the 1950s.
                                                                                                          GO ON TO THE NEXT PAGE.
12. Passage A indicates that its author believes that life in the   17. The primary function of the first sentence of the last
    1950s:                                                              paragraph of Passage B (line 75) is to:
    F.   lacked drama completely.                                       A. prove that the loss of optimism in America was
    G.   was boring and tiresome at times.                                 caused by Superman storylines.
    H.   was plagued by organized crime.                                B. introduce a secondary conflict that is resolved at the
    J.   seemed slow and fitful most of the time.                          end of the paragraph.
                                                                        C. signal the conclusion of the essay and the waning
                                                                           popularity of comic books in America.
13. When the author of Passage A states that “Since the dawn            D. transition the essay from a discussion of American
    of the 21st century, television realism has been much                  optimism to a discussion of a lack thereof.
    different,” the author is most likely focusing on:
    F. the Hudson River School was an art high school              A. prove that The Course of Empire was Cole’s greatest
       founded by Thomas Cole in Ohio.                                work.
    G. Thomas Cole was an artist who painted landscapes.           B. suggest that Cole used various shades of green to
    H. the Hudson River School was an art movement, rather            depict changing moods.
       than an actual school.                                      C. briefly describe the five canvases of The Course of
    J. the early 1800s marked a time of optimism in the               Empire in chronological order.
       United States.                                              D. suggest that Cole had nihilistic views with regard to
                                                                      civilization.
24. The word begged in line 23 has which of the following      29. According to the passage, through The Course of Empire,
    literary effects?                                              Cole expressed his belief that:
    F.   forced.
    G.   inspired.
    H.   heeded.
    J.   asked.
    A. Is spider silk weak, heavy, and rigid?                          A.   Stiffen, stretch, stiffen, fracture
    B. How would implanting a spider’s silk gene in a goat             B.   Stiffen, stiffen, stretch, fracture
       help the goat produce spider silk?                              C.   Stiffen, stiffen, fracture, stretch
    C. How do radial and spiral spider-web strands respond             D.   Stretch, stiffen, stiffen, fracture
       to incoming forces?
    D. Do some professionals believe that spider-web
       research may have medical applications?
                                                                   40. The statement “A line from Shakespeare’s A Midsummer
                                                                       Night’s Dream, in fact, refers to a cobweb as a cure for a
                                                                       cut finger” (lines 74-76) functions primarily to:
36. The author likely put the word “Farming” (line 31) in
    quotation marks in order to acknowledge:                           F.   extend a metaphor.
                                                                       G.   transition from one argument to another.
    F.   the nontraditional use of the word.                           H.   support an assertion.
    G.   the agricultural applications of spider silk.                 J.   provide a counterexample.
    H.   the technical nature of the term.
    J.   a change in the tone and style of the passage.
                                                                                         END OF TEST.
                                                  ACT SCIENCE TEST 6
                                                  35 Minutes—40 Questions
                                 DIRECTIONS: There are seven passages in this test.
                                 Each passage is followed by several questions. After
                                 reading a passage, choose the best answer to each
                                 question and fill in the corresponding oval on your
                                 answer document. You may refer to the passages as
                                 often as necessary.
                                 You are NOT permitted to use a calculator on this test.
Passage I                                                                                                            Figure 1
        Isotopes are variants of a particular chemical                                  10
                                                                                         9
element. While all isotopes of a given chemical
                                                                                         8
element have the same number of protons, each                                                                         Ni-63
                                                                     An (1,000 atoms)
                                                                                         7
isotope has a different number of neutrons in its                                        6
nucleus. When the nucleus of a radioactive isotope                                       5
undergoes a specific type of decay, the atom loses                                       4
one or more neutrons, thereby changing form from                                         3
one isotope to another. An isotope’s half-life is the                                    2                                Sr-90
time it takes for half of any given number of atoms                                      1
                                                                                                 Zn-65
to undergo nuclear decay. An isotope’s exponential                                       0
decay constant, λ (lambda), depends on the                                                   0     20     40   60   80 100 120 140 160 180 200
isotope’s rate of nuclear decay. Table 1 contains                                                                   Time (years)
the value of λ, in yr‒1, for 6 isotopes of different
chemical elements.
                                                                                                                    Figure 2
                                                                                        10
                      Table 1                                                            9
       Chemical                            λ                                             8
                                         (yr‒1)
                                                                     An (1,000 atoms)
       Element          Isotope                                                          7
                                                                                                                      Na-22
                                                                                         6
         Nickel         Ni-63           0.007                                            5
       Strontium         Sr-90          0.023                                            4
                                                                                         3
          Zinc          Zn-65           0.055                                            2                Fe-59
        Sodium          Na-22           2.8                                              1
                                                                                                 Ba-133
                                                                                         0
          Iron          Fe-59           5.7                                                  0     20 40 60 80 100 120 140 160 180 200
        Barium          Ba-133        17.9                                                                  Time (days)
B. D.
  F.     increases only.
                                                                     0                                 0
  G.     decreases only.                                                  0   10    20   30                0   10    20   30
  H.     increases, then decreases.                                             C (cm)                           C (cm)
  J.     remains constant.
                                                            G.                                J.
7. Based on the data in the table, F d will be the                Fd 50                            Fd 50
   greatest for which of the following C-S-V                      (N)                              (N)
   combinations?
                                                                    25                               25
            C              S                  V
  A.       10             M                  15                      0
                                                                          0   10   20    30
                                                                                                      0
                                                                                                       0       10    20   30
  B.       30             R                  15                                C (cm)                            C (cm)
  C.       30             VR                 15
  D.       30             M                  20
                                                                     GO ON TO THE NEXT PAGE.
Passage III                                                                            Experiment 2
                                                                                               The physics student repeated the procedures
        A physics student tested various sheets of                                     from Experiment 1 with UV-rays at various energy
glass for their ability to reflect ultraviolet rays (UV-                               levels. For each combination of glass and UV-ray
rays) at various energy levels. Any UV-ray that                                        energy level, the student recorded, but did not
was not reflected by the glass passed through the                                      graph, information regarding C and d. From the
sheet and struck a detector (see Figure 1), which                                      recorded information, the student then determined
then registered a detection, or count.                                                 the one-third-thickness value, d t , for each combi-
                                                          Figure 1                     nation of glass and UV-ray energy level. (The one-
                                                                                       third-thickness value is the value at which the sheet
                                         sheet of glass                     detector   of a given type of glass was able to reflect one-third
  UV-ray source                                                                        of the UV-rays emitted from the UV-ray source at a
                                                thickness, d
                                                                                       given UV-ray energy level. For example, Figure 2
                                                                                       shows that Glass 2 was able to reflect 250, or one-
                                                                                       third of the 750, UV-rays at 3 eV when d was equal
        Each sheet was made of Glass 1, Glass 2, or
                                                                                       to 1 cm.) Lastly, the physics student graphed d t
Glass 3. The thickness, d, of each sheet (or pane) of
                                                                                       versus UV-ray energy level for each of the three
glass was uniform, but sheets of the same type of
                                                                                       types of glass. (See Figure 3.)
glass had different thicknesses.
       C o represents the number of counts per                                                                          Figure 3
second (cps) with no sheet of glass between the                                                     10
UV-ray source and the detector, and C represents                                                     9
                                                                                                     8        Glass 1
the cps with a single sheet of glass between the                                                     7
source and the detector.                                                                             6
                                                                                          dt (cm)
                                                                                                     5
                                                                                                                                     Glass 2
Experiment 1                                                                                         4
                                                                                                     3
        First, the physics student determined that C o                                               2                             Glass 3
equals 750 cps, when the UV-ray source emitted                                                       1
UV-rays having an energy level of 3 electron volts                                                   0
(eV). Next, with the UV-ray source continuing to                                                         3    4   5 6 7 8 9 10 11 12 13
emit UV-rays at 3 eV, the student measured C for                                                                  UV-ray energy level (eV)
various sheets of Glass 1, each having a different
                                                                                       11. Based on the results of Experiment 1, the cps for
thickness. Then, the student graphed C versus d, in
                                                                                           Glass 2 at d = 5 cm was approximately:
centimeters (cm), for Glass 1. Finally, on the same
set of axes, the student graphed C versus d for Glass                                       A.       1.
2 and Glass 3. (See Figure 2.)                                                              B.       2.2.
                                                          Figure 2                          C.       100.
                                                                                            D.       220.
   C (100 cps) for 3 eV UV-rays
                                  10
                                   9
                                   8                                                   12. Based on the results of Experiment 2, for a
                                   7                                                       given glass, as the UV-ray energy level
                                   6                      Glass 1
                                   5                                                       increased, d t :
                                   4                           Glass 2
                                   3                                     Glass 3            F.       increased only.
                                   2                                                        G.       decreased only.
                                   1                                                        H.       increased, then decreased.
                                   0
                                       0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0         J.       remained constant.
                                                      d (cm)
                                                                                                             GO ON TO THE NEXT PAGE.
13. Based on Experiment 1, which of the following      15. For a third experiment, the physics student must
    combinations of glass and thickness had the            use a sheet of glass that will yield a detection
    highest cps?                                           rate of 400 cps when the sheet is struck by UV-
                                                           rays at 3 eV, as in Experiment 1. The sheet can
   A.   Glass 1 at d = 3 cm                                be no thicker than 2 cm. Based on the results of
   B.   Glass 2 at d = 2 cm                                Experiment 1, the physics student can satisfy
   C.   Glass 2 at d = 6 cm                                these requirements with a sheet of glass of
   D.   Glass 3 at d = 1 cm                                which of the following types?
                                                          A.   Glass 2 or Glass 3 only.
                                                          B.   Glass 2 only.
                                                          C.   Glass 1 only.
14. Based on the results of Experiment 2, to reflect      D.   Glass 1, Glass 2, or Glass 3.
    a given number of UV-rays at a given energy
    level, which sheet of glass had to be thicker, a
    sheet of Glass 2 or a sheet of Glass 3 ?
   F. A sheet of Glass 2, because at every energy      16. Based on Experiment 1 and Experiment 2, for
      level included in Figure 3, d t for Glass 2          UV-rays at a given energy level, as the ability of
      was greater than d t for Glass 3.                    the glass to reflect UV-rays decreased, did C
   G. A sheet of Glass 2, because at every energy          decrease or increase, and why?
      level included in Figure 3, d t for Glass 2
      was less than d t for Glass 3.                      F. Decrease, because the number of UV-rays
   H. A sheet of Glass 3, because at every energy            reaching the detector per second decreased.
      level included in Figure 3, d t for Glass 3         G. Decrease, because the number of UV-rays
      was greater than d t for Glass 2.                      reaching the detector per second increased.
   J. A sheet of Glass 3, because at every energy         H. Increase, because the number of UV-rays
      level included in Figure 3, d t for Glass 3            reaching the detector per second decreased.
      was less than d t for Glass 2.                      J. Increase, because the number of UV-rays
                                                             reaching the detector per second increased.
secure                    0
ceiling                               Scale H                   0                                                  0
mount                                                                      Scale L                   Scale R
                  0               0               0
Scale H                                                                                Trial 6
                                                                       0                                       0
                  0               0               0         Scale L                         0.67 meter             Scale R
Scale L
                                                                                                   20 N
Weight                           10 N            20 N
                      Figure 2                                                        Figure 4
29. In which of the trials in Experiment 2 was the      33. In Experiment 2, as the distance between the 20
    force of the 20 N weight equally shared by              N weight and the hook on Scale L increased, the
    Scale L and Scale R ?                                   amount of force exerted on Scale L:
   A.   Trial 4 only.                                      A.   remained the same.
   B.   Trial 5 only.                                      B.   increased only.
   C.   Trial 6 only.                                      C.   decreased only.
   D.   Trials 4 and 6 only.                               D.   varied, but with no measurable trend.
30. Based on the information in the passage, each of    34. According to Experiment 1, the students
    the scales used in the experiments weighed:             calibrated both Scale H and Scale L to zero
                                                            before mounting Scale H and attaching Scale L
   F.    2.5 N.                                             to Scale H. Assuming the students properly
   G.    5.0 N.                                             calibrated the scales, which of the following
   H.    7.5 N.                                             statements best explains why the Scale H dial
   J.   10.0 N.                                             reading in Trial 1 was not zero?
                                                           F. Scale H was properly calibrated, but not
31. In Experiment 1, the dial reading on Scale L for          properly mounted.
    Trial 3 was how much greater than the dial             G. The weight of the connector rings and the
    reading on Scale L for Trial 2 ?                          hook was neglected by the students.
                                                           H. Scale H supported the weight of Scale L in
   A. 5 N                                                     Trial 1.
   B. 10 N                                                 J. The 10 N weight caused the dial reading of
   C. 15 N                                                    Scale H to increase.
   D. 20 N
                                       100                                                  Key
                                                                              SH Oil                    NH Oil
            percemt of original mass
                                        95                                       25% O2                    25% O2
              of sample remaining
90 40% O2 40% O2
85
80
75
                                        70
                                             20   30   40         50           60         70            80        90
                                                            temperature of sample (ºC)
                                                                   Figure 1
35. According to the results of Study 1, the sample      39. Suppose that in an additional trial in Study 2, a
    of SH Oil heated in an atmosphere of 40% O 2             sample of SH Oil with H 2 O content of 5% had
    lost mass through the evaporation of water most          been ignited in an atmosphere containing 33%
    rapidly over which of the following temperature          O 2 . Based on the results of Study 2, the flame
    ranges?                                                  spread rate for such additional trial would most
                                                             likely have been:
   A.   20ºC to 30ºC
   B.   40ºC to 50ºC                                        A.   7.3 cm/sec.
   C.   50ºC to 60ºC                                        B.   5.2 cm/sec.
   D.   80ºC to 90ºC                                        C.   3.7 cm/sec.
                                                            D.   2.3 cm/sec.