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ACT Practice Test

Section 1: English
Passage I

DIRECTIONS: Read the passage and answer the questions that follow. Numbers in parenthesis refer to question numbers about those sections of the passage.

Survivors are always extraordinary people, seeming to possess qualities that humans in their finest hour have. One particular group of wanderers from Vung Tau Vietnam, fall (1) into this category. Originally natives of Southeast Asia, they were part of an exodus from their homeland, finally ending up in the United States. Consisting mainly of fishermen and their families, altogether they number about 1,300. Their most outstanding trait is their ability to survive after having to flee their home. They have done so with unity and togetherness.

Originally, these fishermen lived in North Vietnam. Because of the threat of communism, they fled their homes in 1954 and settled in South Vietnam; when the Vietnam War broke out, once again these people found themselves in a dangerous position. With the fall of South Vietnam comes (3) the need to relocate once more. In 1975 the group moved, this time halfway around the world to the Mississippi Gulf Coast. Although they were newcomers with a chance to begin fresh, their troubles were not over. The Americans did not accept them.

One particular source of opposition has been the American fisherman. The reason for this resistance is simple: competition for jobs. The Vietnamese people were glad (4) to be here that they would work at any job. A few have managed to survive here. As of 1981, some Vietnamese, like boat owner Ba Ban Nguyen, actually owned part of a shipyard.

Today the wanderers from Vung Tau want more than menial labor along the docks, they (5) want to compete as fishermen. Gradually, these people have enabled themselves to compete as commercial fishermen. But in the process, they have angered American fishermen who, (6) while simply minding their own business, were crowded by the Vietnamese moving into established fishing areas. After all, the Americans said, it is difficult to buy and sell their catch with so many more fishermen around. Verbal confrontations are common, and, increasingly, physical harassment has occurred. Along the Texas coast, an American fisherman was killed, supposedly by a Vietnamese. Additionally, fishing styles differ. The Vietnamese fish from north to south while Americans fish from east to west.

1.
    A. NO CHANGE
    B. Vung Tau, Vietnam, falls
    C. Vung Tau Vietnam falls
    D. Vung Tau, Vietnam, fall


2. Which of the following strategies would best support the assertion made in Paragraph 1, that the fishermen's survival was accomplished through unity and togetherness?
    A. Discussing routes of travel, because group dynamics is unimportant to the reader
    B. Discussing the history of communism, because dates make points clearer
    C. Discussing group members conferring with each other and coming to unanimous decisions, because examples clarify an issue
    D. Discussing irreconcilable disagreements and conflicts among group members that exemplify the fishermen's problems, because this issue is lacking in the passage


3.
    A. NO CHANGE
    B. Vietnam, comes
    C. Vietnam came
    D. Vietnam, come


4.
    A. NO CHANGE
    B. were ecstatic
    C. , were so grateful
    D. were so glad


5.
    A. NO CHANGE
    B. docks; they
    C. docks; however, they
    D. docks, yet, they


6. Which of the suggested sentences make the best introduction to Paragraph 5 and the best transition from Paragraph 4?
    A. The Vietnamese fishermen are proud of their expertise.
    B. Americans' incomes are suffering.
    C. Still more problems exist.
    D. The market value of fishing is dropping.


TEST 2: MATH

Unless otherwise indicated:

1. Figures may not have been drawn to scale.

2. All geometric figures lie in a plane.

3. "Line" refers to a straight line.

4. "Average" refers to arithmetic mean.

7. If f(x) = 3x2 ­ x + 5, then f(3) =
    A. 15.
    B. 17.
    C. 23.
    D. 27.
    E. 29.


8. Solve for x, when | 5 ­ 3x | = ­2.
    A. A. x = 7/3
    B. -7/3
    C. -1
    D. 1
    E. No solution


9. Simplify
1/2 + 1/3
1/6
    A. 5
    B. 3
    C. 4
    D. 2
    E. 3/4


10. Solve for x: log(40x ­ 1) ­ log(x ­ 1) = 3.
    A. 333/320
    B. 333/960
    C. 999
    D. 1001/960
    E. Cannot be determined.


11. Let n be an integer greater than 1. Which of the following values is greater than 1?
    A. ­(n)3
    B. ­(n)-1/3
    C. ­(­n)3
    D. ­(n + 1)3
    E. n + 1)5


12.

The coordinates of the point of intersection of the lines having

equations 7x + 2y = 5 and 2x + y = ­2 are

    A. (3, ­8).
    B. (3, ­6).
    C. (­8, 3).
    D. (0 ,0).
    E. (1, ­8).


13. In the given figure, k =

    A. 5.
    B. 3.
    C. 2.
    D. 1.
    E. ­1.


14. In the figure, ABC is a right isosceles triangle. If DE = 3 and AB = 5, what is the area of trapezoid ABED?

    A. 2
    B. 16/5
    C. 43/5
    D. 16/21
    E. 16/2


TEST 3: Reading Passage I

Whatever has the air of a paradox, and is contrary to the first and most unprejudic'd notions of mankind is often greedily embrac'd by philosophers, as shewing the superiority of their science, which cou'd discover opinions so remote from vulgar conception. On the other hand, any thing propos'd to us, which causes surprize and admiration, gives such a satisfaction to the mind, that it indulges itself in those agreeable emotions, and will never be perswaded that its pleasure is entirely without foundation. From these dispositions in philosophers and their disciples arises that mutual complaisance betwixt them; while the former furnish such plenty of strange and unaccountable opinions, and the latter so readily believe them. Of this mutual complaisance I cannot give a more evident instance than in the doctrine of infinite divisibility, with the examination of which I shall begin this subject of the ideas of space and time.

'Tis universally allow'd, that the capacity of the mind is limited, and can never attain a full and adequate conception of infinity: And tho' it were not allow'd, 'twou'd be sufficiently evident from the plainest observation and experience. 'Tis also obvious, that whatever is capable of being divided in infinitum, must consist of an infinite number of parts, and that 'tis impossible to set any bounds to the number of parts, without setting bounds at the same time to the division. It requires scarce any induction to conclude from hence, that the idea, which we form of any finite quality, is not infinitely divisible, but that by proper distinctions and separations we may run up this idea to inferior ones, which will be perfectly simple and indivisible. In rejecting the infinite capacity of the mind, we suppose it may arrive at an end in the division of its idea; nor are there any possible means of evading the evidence of this conclusion.

'Tis therefore certain, that the imagination reaches a minimum, and may raise up to itself an idea, of which it cannot conceive any sub-division, and which cannot be diminished without a total annihilation. When you tell me of the thousandth and ten thousandth part of a grain of sand, I have a distinct idea of these numbers and of their different proportions; but the images, which I form in my mind to represent the things themselves, are nothing different from each other, nor inferior to that image, by which I represent the grain of sand itself, which is suppos'd so vastly to exceed them. What consists of parts is distinguishable into them, and what is distinguishable is separable. But whatever we may imagine of the thing, the idea of a grain of sand is not distinguishable, nor separable into twenty, much less into a thousand, ten thousand, or an infinite number of different ideas.

'Tis the same case with the impressions of the senses as with the ideas of the imagination. Put a spot of ink upon paper, fix your eye upon that spot, and retire to such a distance, that at last you lose sight of it; 'tis plain, that the moment before it vanish'd the image or impression was perfectly indivisible. 'Tis not for want of rays of light striking on our eyes, that the minute parts of distant bodies convey not any sensible impression; but because they are remov'd beyond that distance, at which their impressions were reduc'd to a minimum, and were incapable of any farther diminution. A microscope or telescope, which renders them visible, produces not any new rays of light, but only spreads those, which always flow'd from them; and by that means both gives parts to impressions, which to the naked eye appear simple and uncompounded, and advances to a minimum, what was formerly imperceptible.

From A Treatise of Human Nature.

15. The author denies that
    A. the capacity of the mind is limited.
    B. the idea is not infinitely divisible.
    C. the mind may arrive at an end in the division of its ideas.
    D. the imagination is unable to raise an idea.


16. The reader can infer that the author believes
    A. that something which consists of parts is distinguishable into parts.
    B. that which is distinguishable is always separable.
    C. that which one imagines of a thing is always separable.
    D. that disciples of philosophy are least likely to accept the doctrine of infinite divisibility.


17. Which of the following describe the work of a telescope? The telescope

I. renders the parts visible by producing new rays of light.

II. renders the parts visible by spreading rays of light.

III. gives parts to impressions.

IV. advances the imperceptible to a minimum.

    A. I only.
    B. II only.
    C. II, III, and IV only.
    D. II and III only.


TEST 4: Science

Read the information given carefully and then choose the best answer to the questions that follow.

75 grams of fresh potatoes and 500 ml of water were homogenized in a blender. Three drops of this "potato juice" were each added to plain water, a dextrose solution, a sodium chloride solution, and a solution of pyrocatechol. After five minutes, all of the solutions remained colorless, except for the pyrocatechol, which had turned yellow.

Experiment 1

Three solutions of pyrocatechol, of the same concentration, were kept either at 0°C, at room temperature (25°C), or in boiling water (100°C). Keeping them at these temperatures and adding three drops of the above "potato juice" to each solution gave the following results in five minutes:

Table 1

Solution
Temperature °C
Color after
5 min
Color after
30 min

0 faint yellow yellow
25 yellow bright yellow
100 colorless colorless

Experiment 2

Solutions of equal concentrations of pyrocatechol were adjusted to have pH values of 4, 7, or 10. When three drops of the above "potato juice" were added (at room temperature) to each solution, within five minutes the solution at pH 4 was dark yellow; the solution at pH 7 was faint yellow; and the solution at pH 10 was still colorless. Four test tubes were set up containing a pyrocatechol solution at the same concentration. Phenylthiourea was added to each tube as shown in Table 2. Then several drops of the "potato juice" were added. After 5 minutes, the color of each tube was recorded.

Table 2

Potato Phenylthiourea juice Color ­ 5 min Color ­ 30 min

20 drops 3 drops bright yellow bright yellow
10 3 faint yellow yellow
1 3 very faint yellow faint yellow
0 3 colorless colorless
20 5 bright yellow bright yellow
10 5 yellow bright yellow
1 5 faint yellow bright yellow
0 5 colorless colorless
20 1 faint yellow yellow
10 1 very faint yellow faint yellow
1 1 colorless very faint yellow
0 1 colorless colorless

18. What is the temperature of the solutions tested in the passage experiment?
    A. 0°C
    B. 25°C
    C. 100°C
    D. Between 0°C and 25°C


19. Given the results of Experiment 1 and Experiment 2, at what combination of temperature and pH would a potato juice and pyrocatechol solution remain light yellow after 5 minutes?
    A. T = 0°C, pH = 7
    B. T = 25°C, pH = 7
    C. T = 100°C, pH = 10
    D. T = 0°C, pH = 10


20. If a chemist wanted to achieve the most dramatic change in color over time of the pyrocatechol solution, which combination of drops of phenylthiourea and potato juice would be added?
    A. 20 drops phenylthiourea, 1 drop potato juice
    B. 10 drops phenylthiourea, 5 drops potato juice
    C. 1 drop phenylthiourea, 5 drops potato juice
    D. 10 drops phenylthiourea, 3 drops potato juice


 
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