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10 ACT Practice Tests 2nd Edition Steven Dulan - Solutions

Which of the following best describes the structure of the passage?A. A dialogue between two people in which both relate their reasons for travel in an almost equal amount of detail.B. An account of the narrator’s perspective of meeting a life-changing new person for the first time.C. A character
Based on the passage, which of the following statements best describes the overall attitude of the narrator towards the boy?F. The boy’s quiet, composed behavior challenges the narrator and makes her initially uncomfortable.G. The boy’s aggressive behavior frightens the narrator and makes her
It can reasonably be inferred from the passage that the narrator had been raised with which of the following attitudes towards silence?A. It is pleasant and calming.B. It is positive and reaffirming.C. It is dangerous and threatening.D. It is empty and ominous.
According to the narrator, silence is usually characterized by:F. Forgiveness.G. Absence.H. Injustice.J. Innocence.
In relation to the first paragraph’s earlier description of silence, the narrator’s comments in lines 6–8 primarily serve to:A. Reveal how silence heals a person.B. Explain how silence can actually be a positive force.C. Clarify why the narrator distrusts silence.D. Suggest that silence is
Which of the following statements about the people on the bus is best supported by the passage?F. The bus is filled with fascinating people, most of whom you see on every bus ride.G. People who ride the bus are always quiet.H. You might never see the same people on any given bus ride.J. People who
According to the passage, the main reason the narrator decided to go to the YMCA was that:A. Her university required community service credits.B. She liked to swim.C. She was looking for a new job working with children.D. She was exploring her new town.
Based on the narrator’s account, the boy, Jaime, is best described as:F. Sleepy, yet hostile.G. Bored and antagonistic.H. Outgoing and friendly.J. Aware, yet shy.
As it is used in line 15, the word parameters most nearly means:A. Requirements.B. Variables.C. Limitations.D. Attributes.
In the passage, the narrator describes her cheery voice as sounding out of place most likely because:F. The bus was silent; most of the other passengers were asleep or lost in their own thoughts.G. The bus was noisy; most of the other passengers were loudly talking to their neighbors.H. The bus was
The author most nearly characterizes the role Julius Caesar plays in the fall of the Roman Republic as one that:A. Takes advantage of past conflicts to promote his own ideals.B. Contradicts the efforts of the Gracchi brothers.C. Supports the Republic despite its faults.D. Idealizes the position of
The author uses the remark “farmers who, by law, had to own a minimum number of acres to join the military service” (lines 18–19) primarily as an example of:A. The kind of useless requirements made by the Roman military.B. The ancient Romans’ preoccupation with farming.C. The clash between
The author indicates the common factor leading to the murders of the Gracchus Brothers was:F. Aristocratic fear of political reform.G. Mob violence due to political corruption.H. Aristocratic desire to reform the political system.J. The inability of Roman senators to rent cheap land.
By his statement in lines 60–63, the author most nearly means that, unlike in past armies, in Marius’ army:A. Soldiers tried to set a precedent for Julius Caesar.B. Ability meant more than social class.C. Nobility were often put in charge of lower-class soldiers.D. Rank was based only on
The author cites all of the following as actions of Cornelius Sulla EXCEPT:F. Strengthening the power of the Senate against the Assembly.G. Establishing himself as Dictator.H. Peacefully resigning his dictatorship.J. Successfully uniting his allies and opponents during his dictatorship.
The author uses the events listed in lines 81–85 primarily to:A. Show Julius Caesar as a true political reformer, despite his family connections to the aristocracy.B. Imply that Julius Caesar exploited his political connections for his own gain.C. Imply that Julius Caesar had no choice but to
The author implies that prominent Roman politicians who tried to limit the aristocratic power of the senators often were:F. Eventually assassinated.B. Promoted to Dictator.G. Exiled to foreign countries.H. Generals in the Roman army.
Which of the following is NOT listed in the passage as a political reform in the Roman Republic?A. Redistributing public land to retired soldiers.B. Protecting the grain supply for the unemployment dole.C. Extending political rights to the lower classes.D. Eliminating slavery in the Republic.
The author calls which of the following a result of political chaos?F. The murder of the Gracchus Brothers.G. The rise of Cornelius Sulla as Dictator of Rome.H. The rise of Augustus Caesar as Emperor of Rome.J. The need for retired soldiers to receive unemployment payments.
Which of the following statements best expresses the main idea of the passage?A. The Táin tells the story of Queen Medb and the magic bull of Ulster.B. Stories told in the vernacular are much better than stories told in Latin.C. The Táin is an epic, one of the great national stories of Ireland,
Which of the following questions is NOT answered in the passage?F. What is “vernacular literature?”G. Why did Queen Medb want the magic bull of Ulster?H. What does “The Táin Bó Culainge” mean?J. How did the warrior, Cú Chulainn, get his name?
The passage suggests that one of The Táin’s most important contributions to Irish literature is that:A. It provides an inspirational image of Ireland free of English cultural repression.B. It illustrates the political power of women in early European countries.C. It personifies the ancient Irish
The main function of the second paragraph (lines 12–22) is to:F. Give a brief description of The Táin Bó Culainge.G. Introduce the Ulster king, Conchobor mac Nessa.H. Describe Ireland’s agrarian society in the early middle ages.J. Define an “epic cycle.”
All of the following details are used in the passage to show the range of content in The Táin EXCEPT:A. The bulls were originally pig-keepers who knew magic.B. The Ulstermen were cursed with debilitating pain whenever their country was attacked.C. Fergus was once a king of Ulster who lost his
The last paragraph establishes all of the following about The Táin EXCEPT:F. The Táin is over twelve hundred years old.G. Once a literary work is dead, it ceases to have any cultural significance.H. Modern writers use The Táin as a source of artistic inspiration.J. Irish bards once called on the
One of the main points in the third paragraph (lines 23–36) is that, under medieval Irish law:A. Bulls were important instruments of attaining political power.B. A king was defined as the local man who had the most cattle.C. Children had limited legal rights.D. Women had legal rights equal to
According to the passage, literary lovers’ triangles have included all of the following EXCEPT:F. Queen Medb, King Aillil, and Fergus.G. Queen Isolde, King Mark, and Sir Tristram.H. Queen Guinevere, King Arthur, and Sir Lancelot.J. Queen Medb, King Mark, and King Arthur.
The author most likely includes the information in lines 60–63 (“Still even Medb’s daughter, Finnabair, …same name”) to suggest that:A. Some thematic similarities between the King Arthur story and The Táin are very strong.B. Medieval authors knew that Finnabair and Guinevere were
Which of the following phrases best describe best describes why Medb wanted the magic bull of Ulster?F. Spiteful vanity.G. Marital jealousy.H. Serious ambition.J. Childish determination.
The passage mentions all of the following about the use of homeopathy to treat disease EXCEPT that:A. It is used to treat everything from cancer to colds and flu.B. It is based on the theory of treating “like with like.”C. Its doses are administered in infinitesimal amounts.D. It is
According to the fifth paragraph (lines 63–75), Hahnemann hypothesized that heavily diluted substances remained effective because:F. Shaking each dilution imprinted the molecular “memory” of the original substance into the solution.G. Substances that were too strong often had no effect on the
Hahnemann believed cinchona bark was an effective treatment for malaria because it caused similar symptoms when taken by a healthy person. According to the fourth paragraph, what reason would a modern scientist likely give for using cinchona bark to treat malaria? A. Recent clinical studies
According to the passage, one of the reasons modern scientists are unable to find evidence to support homeopathic treatment is because:F. Homeopathic cure rates are superior to those of placebos.G. There is a substantial amount of standardized clinical data on homeopathic treatment.H. The theory of
Information in the last paragraph indicates that:A. Homeopathy should only be used to treat colds and flu.B. Based on clinical studies, conventional scientists are unnecessarily harsh in their judgment of homeopathy.C. Despite a lack of clinical data, homeopathy remains a popular form of treatment,
The passage indicates that, in the Middle Ages, illness was thought to be caused by an imbalance in the “humors” that was best treated by:F. Conditioning exercises to improve balance.G. Sitting in a sauna or steam room.H. Draining off the excess humors.J. Tilting the patient’s bed to improve
According to the passage, a person with a sanguine disposition would most likely be which of the following?A. Hot and dry.B. Hot and wet.C. Cold and wet.D. Cold and dry
As it is used in line 62, the word practices most nearly means:F. Exercises.G. Habits.H. Medical offices.J. Methods of treatment.
According to the passage, why did Hahnemann use heavily diluted substances to treat patients?A. Undiluted substances were frequently too expensive for all but the richest patients.B. He believed undiluted substances would only worsen the patient’s symptoms.C. He believed a patient’s memory of
In the last paragraph, the author expresses which of the following beliefs about homeopathy?F. Homeopathy is medically unproven and thus practiced only by quacks.G. Homeopathy is a necessary form of treatment that should be widely used to help the sick.H. Homeopathy is a controversial form of
|9 − 5| − |5 − 9| = ?A. −8B. −6C. −4D. 0E. 8
An editor charges $30 for each hour he works on a book project, plus a flat $25 editing fee. How many hours of work are included in a $190 bill for a book project?F. 3 2/5G. 4 H. 5 1/2J. 6 1/3K. 7
Runner A averages 5 miles per hour, and Runner B averages 6 miles per hour. At these rates, how much longer does it take Runner A than Runner B to run 15 miles?A. .5 hourB. 1 hourC. 1.5 hoursD. 2.5 hoursE. 3 hours
x2 + 60x + 54 − 59x − 82x2 is equivalent to:F. −26x2G. −26x6H. −81x2 + x + 54J. −81x2 − x + 54K. −83x2 − x − 54
The figure below is composed of square ABDE and equi-lateral triangle BCD. The length of line segment AE is 18 centimeters. What is the perimeter of ABCDE, in centimeters?A. 48B. 54C. 72D. 90E. 106 B- A с -18- D E
The expression (6n − 5)(n + 4) is equivalent to:F. 6n2 − 20G. 6n2 − 19n − 20H. 6n2 − 29n − 20J. 6n2 + 19nK. 6n2 + 19n − 20
Blair expects an increase of 3% in her current annual salary of $42,000. What would her new annual salary be?A. $42,003B. $42,126C. $43,260D. $45,000E. $54,600
The 6 consecutive integers below add up to 513.n − 2n − 1nn + 1n + 2n + 3What is the value of n?F. 48G. 53H. 64J. 85K. 86
In the standard (x, y) coordinate plane, point B with coordinates (5,6) is the midpoint of AC, and A has coordinates (6,7). What are the coordinates of C?A. (11,13)B. (7,8)C. (4,5)D. (5.5,6.5)E. (−4,−8)
Rectangle PQRS lies in the standard (x, y) coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle PQRS?F. −2G. −1H. 0J. 1K. 2
If Tom traveled 45 miles in 12 hours and Jim traveled four times as far in one-third the time, what was Jim’s average speed, in miles per hour?A. 5B. 15C. 30D. 45E. 90
Given the triangle shown below with exterior angles that measure a˚, b˚, and c˚ as shown, what is the sum of a, b, and c?F. 180G. 236H. 261J. 360K. Cannot be determined from the given information 20 43⁰ во 81°
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.What percent of the students polled chose Spartans in the poll?A. 40%B. 30%C.
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.If the information in the table were converted to a pie chart, then the
A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.If the poll is indicative of how the 3,000 students at Center High School
The total surface area of the rectangular solid shown below is the sum of the areas of the 6 sides. What is the solid’s total surface area, in square inches?F. 18G. 36H. 48J. 80K. 96 3 in 4 in 4 in
Which of the following is the slope of a line parallel to the line y = 2/5 x + 7 in the standard (x, y) coordinate plane?A. −7B. −5/2C. 2/5D. 2 E. 5/2
A circular lamp base has a radius of 2.5 inches. When placed on a flat table, approximately how much area does the lamp base cover, in square inches?F. 5.00G. 6.25H. 15.70J. 19.63K. 25.00
What is the largest integer less than √42?A. 3B. 6C. 7D. 9E. 23
Amanda plans to paint the 4 walls of her bedroom with 1 coat of paint. The walls are rectangular, and each wall measures 12 feet by 14 feet. She will not paint either the 3-foot-by-4-foot rectangular window in her bedroom or the 3-foot-by-7-foot rectangular bedroom door. Amanda knows that
For all x > 0, the expression 3x3/3x9 equals:A. x−6B. x3C. x6D. x12E. x27
What values of a are solutions for a2 + 2a = 8?F. 6 and 8G. 0 and 2H. −2 and 4J. −2 and 0K. −4 and 2
In the square graphed below, what is the slope of line segment AC?A. 4B. 2C. 1D. −1E. −4 B(-4,4) A(-4,-4) y C(4,4) D(4,-4) X
The fixed costs of printing a certain textbook are $900.00 per week. The variable costs are $1.50 per textbook. Which of the following expressions can be used to model the cost of printing t textbooks in 1 week?F. $901.50tG. $150t−$900.00H. $900.00t+$1.50J. $900.00−$1.50tK. $900.00 + $1.50t
In the figure shown below, the perimeter of the triangle is 15 + 5√3. What is the value of x?A. 2B. 3C. 4D. 5E. 6 x√3
If 4√9 / y√11 = 4√9/11, then y =?F. 1G. √11H. 11J. 22K. 36
Casey has buckets of 3 different sizes. The total capacity of 12 of the buckets is g gallons, the total capacity of 8 buckets of another size is g gallons, and the total capacity of 4 buckets of the third size is also g gallons. In terms of g when g>0, what is the capacity, in gallons, of each
What is the area of a circle that has a circumference of .5π?F. 0.0625πG. 0.10πH. 0.25πJ. 25πK. 625π
Cube X has an edge length of 2 inches. Cube Y has an edge length triple that of Cube X. What is the volume, in cubic inches, of Cube Y?A. 6B. 12C. 36D. 72E. 216
A formula used to compute the current value of an investment account is A = P(1 + r)n, where A is the current value, P is the amount deposited, r is the rate of interest for 1 compounding period, expressed as a decimal, and n is the number of compounding periods. Which of the following is closest
A right circular cylinder is shown below, with dimensions given in inches. What is the total surface area of the cylinder, in square inches? (The total surface area of a cylinder is given by 2πr2 + 2πrh, where r is the radius and h is the height.)A. 3πB. 5πC. 6πD. 8πE. 11π 3
Given ƒ(x) = 3x + 5 and g(x) = x2 − x + 7, which of the following is an expression for ƒ(g(x))?F. 3x2 − 3x + 26G. 3x2 − 3x + 12H. x2 − x + 12J. 9x2 + 25x + 27K. 3x2 + 21
The table below shows the total number of touchdowns scored in each of 16 football games during a regular season. What is the average number of touchdowns scored per game, to the nearest tenth?A. 2.6B. 2.3C. 2.0D. 1.5E. 0.9 Total number of touchdowns in a game 0 1 2 3 4 5 Number of games with this
In the triangles shown below, what is the average of angles a, b, c, d, and e?F. 30˚G. 45˚H. 54˚J. 60˚K. 72˚ උප 09 120 දය
(4x4)4 is equivalent to:A. xB. 16x8C. 16x16D. 256x8E. 256x16
Which of the following is equivalent to the inequality 3x − 6 > 6x + 9?F. x > −5G. x < −5H. x > −2J. x < 3K. x > 3
In the xy-coordinate system, (√5, s) is one of the points of intersection of the graphs y = 2x2 + 6 and y = −4x2 + m, where m is a constant. What is the value of m?A. 30B. 33C. 36D. 39E. 42
For right triangle XYZ below, what is cos ∠ Z?F. 4/3G. 5/4H. 3/4J. 3/5K. Cannot be determined from the given information Y 4 X 3 Z
Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?A. The fifth term is −4.B. The sum of the first 5 terms is 30.C. The seventh term is −12.D. The common difference of consecutive integers is −5.E. The sum of the first 7 terms is 7.
If there are 6 × 1014 oxygen molecules in a volume of 3 × 107 cubic meters, what is the average number of oxygen molecules per cubic meter?F. 2 ×105G. 2 ×107H. 2 ×1021J. 18 ×107K. 18 ×1021
The lengths of the sides of right triangle ABC are shown in the figure below. What is the cotangent of ∠ B?A. x/yB. x/zC. y/zD. z/xE. z/y B X N C
What rational number is halfway between 1/6 and 1/2?F. 1/8G. 1/4H. 1/3J. 2/3K. 3/2
If |6−2x|>9, which of the following is a possible value of x?A. −2B. −1C. 0D. 4E. 7
A square and a regular pentagon have equal perimeters. If the pentagon has sides of length 12, what is the area of the square?F. 30G. 48H. 60J. 225K. 244
A classroom has 10 tables that will seat up to 4 students each. If 20 students are seated at tables, and NO tables are empty, what is the greatest possible number of tables that could be filled with students?A. 5B. 3C. 2D. 1E. 0
If x < y, then |x − y| is equivalent to which of the following?F. x + yG. −(x + y)H. √x − yJ. x − yK. −(x − y)
The trapezoid below is divided into 2 triangles and 1 rectangle. Lengths are given in centimeters. What is the combined area, in square centimeters, of the 2 shaded triangles?A. 18B. 12C. 9D. 6E. 4 3 4 8 3
In the figure below, all line segments are either horizontal or vertical, and the dimensions given are in feet. What is the perimeter, in feet, of the figure?F. 20G. 24H. 26J. 28K. 32 2 4 8 6
If c is directly proportional to s2 and c = 7/16 when s = 1/4, what is the value of s when c = 175?A. 2B. 3C. 4D. 5E. 6
If the value, to the nearest thousandth, of cos α is −0.385, which of the following could be true about α?F. 2π/3 ≤ α ≤ πG. π/2 ≤ α ≤ 2π/3H. π/3 ≤ α ≤ π/2J. π/6 ≤ α ≤ π/3K. 0 ≤ α ≤ π/6
The writer would like to emphasize how critical her direct involvement is to the success of her garden. Given that all the choices are true, which one best accomplishes the writer’s goal?A. NO CHANGEB. AC. ThisD. OMIT the underlined portion.
The writer would like to emphasize how critical her direct involvement is to the success of her garden. Given that all the choices are true, which one best accomplishes the writer’s goal?F. NO CHANGEG. Plenty of sunshine forH. Abundant rainfall forJ. Casual observance of
The writer is considering deleting the phrase “leaving a mess of rejected foliage, hoof prints, and raw vegetable soup” from the preceding sentence. Should the phrase be kept or deleted?A. NO CHANGEB. InstigatesC. InstigatingD. Instigated
The writer is considering deleting the phrase “leaving a mess of rejected foliage, hoof prints, and raw vegetable soup” from the preceding sentence. Should the phrase be kept or deleted?F. NO CHANGEG. By witnessingH. For the witnessing ofJ. To the witness of
The writer is considering deleting the phrase “leaving a mess of rejected foliage, hoof prints, and raw vegetable soup” from the preceding sentence. Should the phrase be kept or deleted?A. NO CHANGEB. When we got backC. After our arrivalD. OMIT the underlined portion.
The writer is considering deleting the phrase “leaving a mess of rejected foliage, hoof prints, and raw vegetable soup” from the preceding sentence. Should the phrase be kept or deleted?F. NO CHANGEG. The local deer population, theyH. The local deer populationJ. They
The writer is considering deleting the phrase “leaving a mess of rejected foliage, hoof prints, and raw vegetable soup” from the preceding sentence. Should the phrase be kept or deleted?A. Kept, because it emphasizes both the destructiveness of deer and the importance of protecting a garden.B.
The writer would like to indicate that protecting the garden from future destruction will be time-consuming and must be well planned. Given that all choices are true, which one best accomplishes the writer’s goal?F. NO CHANGEG. Decorative, yet funny.H. Purely decorative and humorous.J. Purely
The writer would like to indicate that protecting the garden from future destruction will be time-consuming and must be well planned. Given that all choices are true, which one best accomplishes the writer’s goal?A. NO CHANGEB. Deterring qualities, whichC. Deterring, qualities, whichD. Deterring,
The writer would like to indicate that protecting the garden from future destruction will be time-consuming and must be well planned. Given that all choices are true, which one best accomplishes the writer’s goal?F. NO CHANGEG. Not be easy.H. Take some time.J. Require a team effort.
Which of the following alternatives to the underlined portion would NOT be acceptable?A. AfterB. Soon afterC. Followed byD. Returning from

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