Practice Test 2 - The Princeton Review SAT Practice Tests and Explanations - Cracking the SAT with 5 Practice Tests, 2014 Edition

Cracking the SAT with 5 Practice Tests, 2014 Edition (2013)

Part VII. The Princeton Review SAT Practice Tests and Explanations

Chapter 21. Practice Test 2

(Click here to download a PDF of Practice Test 2)

SECTION 1
ESSAY
Time — 25 minutes

Turn to Section 1 of your answer sheet to write your essay.

The essay gives you an opportunity to show how effectively you can develop and express ideas. You should, therefore, take care to develop your point of view, present your ideas logically and clearly, and use language precisely.

Your essay must be written on the lines provided on your answer sheet—you will receive no other paper on which to write. You will have enough space if you write on every line, avoid wide margins, and keep your handwriting to a reasonable size. Remember that people who are not familiar with your handwriting will read what you write. Try to write or print so that what you are writing is legible to those readers.

You have twenty-five minutes to write an essay on the topic assigned below. DO NOT WRITE ON ANOTHER TOPIC. AN OFF-TOPIC ESSAY WILL RECEIVE A SCORE OF ZERO.

Think carefully about the issue presented in the following excerpt and the assignment below.

The more critical reason dominates, the more impoverished life becomes. When reason is overvalued, the individual suffers a loss. Relying more on facts and rationality than on imagination and theory detracts from the quality of a person’s intellectual life.

Adapted from Carl Jung

Assignment: Is knowing facts as important as understanding ideas and concepts? Plan and write an essay in which you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observations.

DO NOT WRITE YOUR ESSAY IN YOUR TEST BOOK. You will receive credit only for what you write on your answer sheet.

BEGIN WRITING YOUR ESSAY ON THIS PAGE OF THE ANSWER SHEET
(FOUND AT THE BACK OF THE BOOK).

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 2
Time — 25 minutes
24 Questions

Turn to Section 2 of your answer sheet to answer the questions in this section.

Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet.

1. Nuclear power plants are some of the largest producers of ------- wastes, with each plant producing barrels of radioactive material that must be stored in special protective containers.

(A) biodegradable

(B) artificial

(D) durable

(E) noxious

2. The scientific community was ------- when a living specimen of the coelacanth, thought to be no longer -------, was discovered by deep-sea fishermen.

(A) perplexed . . common

(B) overjoyed . . dangerous

(D) astounded . . extant

(E) dismayed . . alive

3. After the governor’s third trip overseas, voters complained that he was paying too little attention to ------- affairs.

(A) intellectual

(B) extraneous

(D) aesthetic

(E) domestic

4. The Roman Emperor Claudius was viewed with ------- by generations of historians until newly discovered evidence showed him to be ------- administrator.

(A) suspicion . . a deficient

(B) reluctance . . an inept

(D) indignation . . an incompetent

(E) disdain . . a capable

5. Communities in primitive areas where natural ------- is scarce must be resourceful in order to secure adequate nutrition.

(A) development

(B) competition

(D) augmentation

(E) intervention

6. Morgan’s interest was focused on ------- the division between theory and empiricism; she was convinced that a ------- of philosophy and applied science was possible and necessary.

(A) eradicating . . synthesis

(B) maintaining . . restoration

(D) overlooking . . duplicity

(E) refuting . . delineation

7. His style is best described as -------: his signature vivid colors and mixture of bold patterns, combined with his dramatic bearing, always make him the center of attention.

(A) vehement

(B) imperious

(D) flamboyant

(E) stoic

8. Although at times Nikolai could be disagreeable and even -------, more often than not he was the most ------- person you could hope to meet.

(A) contentious . . complaisant

(B) disgruntled . . befuddled

(D) misguided . . solicitous

(E) curmudgeonly . . didactic

Directions: Each passage below is followed by questions based on its content. Answer the questions on the basis of what is stated or implied in each passage and in any introductory material that may be provided.

Questions 9–10 are based on the following passage.

9. The term “deconstructed” in line 4 implies that Hurston

(A) participated fully in the Harlem Renaissance

(B) engaged in scientific experiments

(D) cut herself off from Harlem to write about it objectively

(E) attempted to bring about sweeping changes to African-American communities

10. The passage LEAST supports which of the following statements about Zora Neale Hurston?

(A) She was influenced by the blossoming of the arts in Harlem.

(B) She was a widely recognized social anthropologist.

(D) She investigated the culture of a Southern town.

(E) She was an author highly skilled in several genres.

Questions 11–12 are based on the following passage.

11. The purpose of this passage is primarily to

(A) demonstrate that the claims of environmentalists are unfounded

(B) argue against further use of SURTASS LFA

(D) emphasize the danger humans pose to wildlife

(E) summarize the arguments of environmentalists who oppose SURTASS LFA

12. The example of the rock concert serves to

(A) compare the way humans and whales are affected by sound

(B) bolster the author’s overall argument in favor of banning SURTASS LFA

(D) provide a context from which to judge the intensity of SURTASS LFA emissions

(E) foreshadow an argument the author will soon present

Questions 13–24 are based on the following passage.

The following passage was excerpted from a book called The Extraordinary Origins of Everyday Things, which was published in 1987.

13. The author cites the literal definition of the Greek word pharmakon in line 5 in order to

(A) show that ancient civilizations had an advanced form of medical science

(B) point out that many of the beliefs of ancient civilizations are still held today

(D) stress the mental and physical causes of disease

(E) emphasize the primitive nature of Greek medical science

14. The second paragraph indicates that it was possible to identify a number of early Sumerian drugs because

(A) traces of these drugs were discovered during archaeological excavations

(B) the ancient Egyptians later adopted the same medications

(D) a pharmacopoeia in Europe contained detailed recipes for ancient drugs

(E) a list of drugs and preparations was compiled by an ancient Sumerian

15. The passage suggests that which of the following is a similarity between ancient Sumerian drugs and modern drugs?

(A) Ancient Sumerian drugs were made of the same chemicals as modern drugs.

(B) Like modern drugs, ancient Sumerian drugs were used for both mental and physical disorders.

(D) Both ancient Sumerian drugs and modern drugs are products of sophisticated chemical research.

(E) Hierarchically organized groups of laborers are responsible for the preparation of both ancient Sumerian and modern drugs.

16. The “hierarchy” referred to in line 22 is an example of

(A) a superstitious practice

(B) the relative severity of ancient diseases

(D) a complex division of labor

(E) a recipe for ancient drugs

17. Which of the following is NOT cited in lines 14–31 as a characteristic of ancient Egyptian medicine?

(A) Anesthesia

(B) Ointments

(D) Use of trial and error

(E) A workplace hierarchy

18. In line 38, the word “holistic” most nearly means

(A) psychological

(B) modern

(D) comprehensive

(E) partial

19. Which of the following documents from seventh-century Greece, if discovered, would most support the author’s characterization of ancient Greek medicine (lines 32–42)?

(A) A sophisticated formula for an antacid

(B) A scientific paper theorizing that stress causes disease

(D) An essay that details the ancient Egyptian influence upon Greek medicine

(E) A book in which the word “pharmacology” was used repeatedly

20. According to the passage, the seventh-century Greeks’ view of medicine differed from that of the Sumerians in that the Greeks

(A) discovered more advanced chemical applications of drugs

(B) acknowledged both the mental and physical roots of illness

(D) established a rigid hierarchy for the preparation of drugs

(E) developed most of the precursors of modern drugs

21. The passage implies that

(A) ancient Greek medicine was superior to ancient Egyptian medicine

(B) science has proven that some maladies have supernatural causes

(D) most ailments that afflicted the ancient Sumerians still afflict modern human beings

(E) the ancient Egyptians lacked the knowledge to make major discoveries in chemistry

22. Lines 47–54 indicate that advances in medical science during the modern era of pharmacology may have been delayed by

(A) the lack of a clear understanding of the origins of disease

(B) primitive surgical methods

(D) an inaccuracy in pharmaceutical preparation

(E) an overemphasis on the psychological causes of disease

23. In the final paragraph, the author makes which of the following observations about scientific discovery?

(A) Human biochemistry is such a complex science that important discoveries are uncommon.

(B) Chance events have led to the discovery of many modern drugs.

(D) Trial and error is the best avenue to scientific discovery.

(E) Most of the important discoveries made in the scientific community have been inadvertent.

24. It can be inferred from the passage that some drugs commonly used in modern times

(A) were fortunate and unanticipated discoveries

(B) caused the very diseases that they were designed to combat

(D) were created in the sixteenth century

(E) are now known to be ineffective

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 3
Time — 25 minutes
20 Questions

Turn to Section 3 of your answer sheet to answer the questions in this section.

Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You may use any available space for scratchwork.

1. If = x, what is the value of 4x + 2 ?

(A) 2

(B) 3

(D) 12

(E) 14

2. In the figure above, which of the following points lies within the shaded region?

(A) (−1, 1)

(B) (1, −2)

(D) (5, −4)

(E) (7, 0)

3. Six cups of flour are required to make a batch of cookies. How many cups of flour are required to make enough cookies to fill 12 cookie jars, if each cookie jar holds 1.5 batches?

(A) 108

(B) 90

(D) 78

(E) 72

4. If n is an even integer, which of the following must be an odd integer?

(A) 3n − 2

(B) 3(n + 1)

(D)

(E) n²

5. In the coordinate plane, what is the midpoint of the line segment with endpoints at (3, 4) and (0, 0) ?

(A) (1.5, 2)

(B) (5, 0)

(D) (3.5, 3.5)

(E) (1.75, 1.75)

6. x − x =

(A) −5x

(B) −x

(D) x

(E) 3x

7. The chart above shows the number of red and blue parrots Toby sold in May and the average weight of each type of bird sold. If Toby sold no other parrots, what was the average (arithmetic mean) weight, in pounds, of the parrots that Toby sold in May?

(A) 2

(B) 2

(D) 5

(E) 9

8. In the figure above, the perimeter of square FCDE is how much smaller than the perimeter of rectangle ABDE ?

(A) 2

(B) 3

(D) 7

(E) 16

9. In ΔABC above, if AC = 8, what is the length of ?

(A) 8

(B) 8

(D) 4

(E) 3

10. If , what is the value of x ?

(A) 4

(B) 16

(D) 32

(E) 64

11. If b equals 40% of a, then in terms of b, 40% of 4a is equal to which of the following?

(A)

(B)

(D) 4b

(E) 16b

Questions 12–13 refer to the following definition.

For all real numbers x, let f(x) = 2x² + 4.

12. What is the value of f(4)?

(A) 16

(B) 18

(D) 36

(E) 72

13. Which of the following is equal to f(3) + f(5)?

(A) f(4)

(B) f(6)

(D) f(10)

(E) f(15)

14. If the circle with center O has a diameter of 9, then what is the area of the circle with center O ?

(A) 81π

(B) π

(D) 18π

(E) 9π

15. The graph of which of the following equations is parallel to the line with equation y = −3x − 6?

(A) x − 3y = 3

(B) x − y = 2

(D) x + y = 5

(E) x + 3y = 6

16. How many solutions exist to the equation |x| = |2x – 1|?

(A) 0

(B) 1

(D) 3

(E) 4

17. There are k gallons of gasoline available to fill a tank. After d gallons have been pumped, in terms of k and d, what percent of the gasoline has been pumped?

(A)

(B)

(C)

(D)

(E)

18. Ray and Jane live 150 miles apart. Each drives toward the other’s house along a straight road connecting the two, Ray at a constant rate of 30 miles per hour and Jane at a constant rate of 50 miles per hour. If Ray and Jane leave their houses at the same time, how many miles are they from Ray’s house when they meet?

(A) 40

(B) 51

(D) 75

(E) 93

19. A bag contains 4 red hammers, 10 blue hammers, and 6 yellow hammers. If three hammers are removed from the bag at random and no hammer is returned to the bag after removal, what is the probability that all three hammers will be blue?

(A)

(B)

(C)

(D)

(E)

20. In the figure above, x || y. What is the value of a in terms of b and c ?

(A) b + c

(B) 2b – c

(D) 180 – b – c

(E) 360 – b – c

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 4
Time — 25 minutes
24 Questions

Turn to Section 4 of your answer sheet to answer the questions in this section.

Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet.

1. Plants that grow in the desert or on high rocky ledges can survive long periods of ------- because they hoard water in their leaves, stems, and root systems.

(A) darkness

(B) inactivity

(D) warmth

(E) aridity

2. Thanks to his eloquence and logic, Liam spoke ------- and made it difficult for even his most bitter opponents to ------- his opinions.

(A) monotonously . . clash with

(B) charmingly . . yield to

(D) abhorrently . . concede to

(E) cogently . . disagree with

3. Some subatomic particles, ------- only through their effects on other bodies, have been compared to outer planets whose ------- was first deduced from eccentricities in other planets’ orbits.

(A) feasible . . irregularity

(B) palpable . . creation

(D) discernable . . existence

(E) verifiable . . proximity

4. Miranda, in her desire to foster -------, often felt compelled to ------- readily to others in tense situations.

(A) cooperation . . object

(B) fortitude . . defer

(D) harmony . . acquiesce

(E) discourse . . appeal

5. Although detractors labeled Margaret Thatcher’s policies -------, she asserted that her ideas ultimately helped bring about a period of prosperity in the United Kingdom.

(A) premature

(B) autocratic

(D) ingenious

(E) seditious

The passages below are followed by questions based on their content; questions following a pair of related passages may also be based on the relationship between the paired passages. Answer the questions on the basis of what is stated or implied in the passage and in any introductory material that may be provided.

Questions 6–9 are based on the following passages.

Passage 1

Passage 2

6. According to Passage 1, which of the following contributed to the decision of the United States to declare war on England in 1812 ?

I. Expansionist tendencies among citizens and leaders of the United States

II. British actions taken against the interests of the United States

III. A desire to show the independence of the United States from England

(A) I only

(B) II only

(D) I and III

(E) I, II, and III

7. Both passages support which of the following statements about the War of 1812 ?

(A) Neither side was able to score a decisive victory in the war.

(B) The war was important not just for the results of the battles but for its effect on the American psyche.

(D) The war was the most significant international engagement of the nineteenth century.

(E) The war was justified due to British injustices against the United States.

8. The authors of both passages would likely agree that

(A) from a military standpoint, neither the United States nor Britain could claim to have won the War of 1812

(B) the War of 1812 had a much greater impact on American citizens than it did on British citizens

(D) Andrew Jackson’s victory at New Orleans was the most important battle of the War of 1812

(E) the War of 1812 is not well known among people in the United States and Britain

9. In Passage 2, the author most likely considers Andrew Jackson’s one of the “most important” battles because

(A) it proved to the British that the American army was a force to be reckoned with

(B) the American forces had not won a battle since the burning of Washington

(D) it was the only battle in which the American forces had been able to defeat the British

(E) the victory at New Orleans carried a great symbolic value to the people of America

Questions 10–15 are based on the following passage.

A parable is a symbolic story that, like a fable, teaches a moral lesson. The parable below was written by the Czech author Franz Kafka and was published in 1935.

10. It can be inferred from line 6 (“his assistants … him”) that Poseidon

(A) lacked enough assistants to do his work

(B) had been promoted to his job from the position of assistant

(D) feared Zeus’s anger if he let others help him at work

(E) threatened to quit his job unless he could hire more workers

11. According to lines 13–25 of the passage, Poseidon is unable to change occupations for all of the following reasons EXCEPT

(A) his appointment as God of the Sea is inherently unchangeable

(B) he has fallen into disfavor with the gods on Mount Olympus

(D) nothing else suits him as well as his present position

(E) his job must be appropriate to his elevated status

12. It can be inferred from the author’s description of Poseidon’s routine (lines 27–35) that

(A) Poseidon prefers performing his duties to visiting Jupiter

(B) Poseidon is too busy to familiarize himself with his kingdom

(D) if the world falls, Poseidon will no longer be able to travel

(E) Poseidon’s dissatisfaction with his job detracts from his efficiency

13. According to the passage, Poseidon’s dissatisfaction with his job primarily stems from

(A) the constant travel that is required of him

(B) the lack of seriousness with which his complaints are received

(D) others’ mistaken notions of his routine

(E) his assistants’ inability to perform simple bookkeeping tasks

14. In line 43 of the passage, the word “described” most nearly means

(A) soared

(B) conveyed

(D) followed

(E) traced

15. The author of the passage portrays the god Poseidon as

(A) a dissatisfied manager

(B) a powerful deity

(D) a capable accountant

(E) a ruthless tyrant

Questions 16–24 are based on the following passage.

The role of women has historically been different in different cultures. The following passage presents an analysis of women in Frankish society by Suzanne Fonay Wemple.

16. The primary purpose of the passage is to

(A) settle a dispute regarding the importance of religious communities in Frankish societies

(B) evaluate the position of women in Frankish society relative to that of women in other societies

(D) provide an example from the field of women’s history

(E) detail the different roles and lifestyles of women of varying social position in Frankish society

17. The passage suggests that women under Frankish law were

(A) confined to narrow social roles

(B) cut off from religious communities

(D) defined in physical or biological terms

(E) valued but essentially powerless

18. It can be inferred from line 17 of the passage that marriage in Frankish society

(A) was the only means of exchanging wealth

(B) could be entered into formally or informally

(D) held greater importance than in primitive societies

(E) was generally arranged by the bride’s mother

19. The word “instrumental” as used in line 23 most nearly means

(A) profitable

(B) skilled

(D) resistant

(E) vital

20. Lines 25–33 (“for those … numbers”) suggest which of the following about women in religious life?

(A) Only unmarried women could participate in the religious lifestyle.

(B) Many women turned to the religious life to escape difficulties with their husbands.

(D) The impact on society they had was not proportionate to the actual number of women engaged in religious life.

(E) Women in religious lifestyles were able to overcome the misogynistic tendencies of the male hierarchy.

21. The passage attributes women’s ability to engage in “spiritual, intellectual, scholarly, artistic, and charitable pursuits” (lines 42–43) to

(A) the monastic lifestyle present in religious communities

(B) their embrace of the traditional duties ascribed to women

(D) the overthrow of the male dominated social hierarchy

(E) the sense of salvation the women experienced upon joining a religious community

22. The passage implies that Frankish women outside religious communities

(A) felt obliged to compete to make men interested in them

(B) were not inclined to religious feeling

(D) did not contribute to Frankish culture

(E) relied on males for emotional support

23. According to the passage, Christianity facilitated the “escape of women from the male-dominated society” (lines 46–47) by doing all of the following EXCEPT

(A) permitting women self-expression

(B) providing education for widows

(D) removing child-rearing obligtions

(E) diversifying women’s poetic impulses

24. The status of women in Frankish society can best be described as

(A) accorded different rights and responsibilities based on their social class and marital status

(B) able to exercise political power by acting in place of their sons

(D) necessary in order to bring about the peaceful merger of slaves and freemen

(E) free to divorce their husbands in order to enter into religious life

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 5
Time — 25 minutes
18 Questions

Turn to Section 3 of your answer sheet to answer the questions in this section.

1. If 2x + 10 = 16, what is the value of 2x −10 ?

(A) −4

(B) −3

(D) 4

(E) 6

2. The only way to purchase Brand X muffins is to buy one or more boxes that each contain 6 muffins. Each box costs $1.50. If Alejandro needs at least 20 muffins, what is the least amount of money he could spend?

(A) $3.00

(B) $4.50

(D) $7.50

(E) $30.00

3. How many even integers are there between 2 and 100, not including 2 and 100 ?

(A) 98

(B) 97

(D) 49

(E) 48

4. In the figure above, line p is parallel to line q. What is the value of a ?

(A) 10

(B) 30

(D) 40

(E) 70

5. If f(3) = 6 and f(4) = 13, then which of the following could be f(x) ?

(A) x + 3

(B) 2x

(D) x² – 2

(E) x² – 3

6. In ΔABC, ≅ and ⊥ . If AC = 10, what is the area of the triangle?

(A) 10

(B) 25

(D) 50

(E) 100

7. In 1998, Andrei had a collection of 48 baseball caps. Since then, he has given away 13 caps, purchased 17 new caps, and traded 6 of his caps to Pierre for 8 of Pierre’s caps. Since 1998, what has been the net percent increase in Andrei’s collection?

(A) 6%

(B) 12%

(D) 25%

(E) 28%

8. What is the area of quadrilateral ABCD in the figure above?

(A) 50

(B)

(D)

(E) 75

9. A certain clothing store sells only T-shirts, sweatshirts, and turtlenecks. On Wednesday, the store sells T-shirts, sweatshirts, and turtlenecks in a ratio of 2 to 3 to 5. If the store sells 30 sweatshirts on that day, what is the total number of garments that the store sells on Wednesday?

10. A rectangular box has a height of 4.5 inches and a base with an area of 18 square inches. What is the volume of the rectangular box in cubic inches?

11. If 5x – 4 = x – 1, what is the value of x ?

12. If a^b = 4, and 3b = 2, what is the value of a ?

13. If b is a prime number such that 3b > 10 > b, what is one possible value of b ?

14. The Tyler Jackson Dance Company plans to perform a piece that requires 2 dancers. If there are 7 dancers in the company, how many possible pairs of dancers could perform the piece?

15. In the figure above, if semicircular arc BC has length 6π and semicircular arc CD has length 4π, what is the area of rectangle ABCD ?

16. Let f (x) = x² − 5. If f (6) − f (4) = f (y), what is | y |?

17. The owner of a spice store buys 3 pounds each of cinnamon, nutmeg, ginger, and cloves from distributor D. She then sells all of the spices at $2.00 per ounce. What is her total dollar profit (1 pound = 16 ounces)? (Disregard the $ sign when gridding your answer.)

18. Points E, F, G, and H lie on a line in that order. If EG = EF and HF = 5FG, then what is ?

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 6
Time — 25 minutes
18 Questions

Turn to Section 2 of your answer sheet to answer the questions in this section.

1. If x + 6 > 0 and 1 – 2x > –1, then x could equal each of the following EXCEPT

(A) –6

(B) –4

(D) 0

(E)

2. Elsa has a pitcher containing x ounces of root beer. If she pours y ounces of root beer into each of z glasses, how many ounces of root beer will remain in the pitcher?

(A) + z

(B) xy – z

(C)

(D) x – yz

(E) − z

3. Which of the following could be the equation of the line represented in the graph above?

(A) y = 2x + 4

(B) y = 2x – 4

(D) y = –2x – 4

(E) y = –2x + 4

4. Starting with a blue light, a strand of colored lights contains lights in a repeating pattern of blue, orange, green, purple, red, and yellow. What is the color of the 53rd light?

(A) Blue

(B) Orange

(D) Purple

(E) Red

5. If x = y + 1 and y ≥ 1, then which of the following is equal to x² − y² ?

(A) (x – y)²

(B) x² – y – 1

(D) x² – 1

(E) y² + 1

6. Triangle ABC has a perimeter of 10, and the lengths of its sides are all integers. If a is the length of side , what is the difference between the largest and smallest possible values of a ?

(A) 1

(B) 2

(D) 4

(E) 7

7. What is the greatest number of regions into which an equilateral triangle can be divided using exactly three straight lines?

(A) 4

(B) 6

(D) 8

(E) 9

8. If a = 4b + 26, and b is a positive integer, then a could be divisible by all of the following EXCEPT

(A) 2

(B) 4

(D) 6

(E) 7

9. If 3x = 12, what is the value of ?

10. In the figure above, what is the value of a + b + c ?

11. Y is a point on such that XY = XZ. If the length of is 4a + 6, and the length of is 68, what is the value of a ?

12. If 4x + 2y = 24 and , what is the value of x ?

13. If , what is the value of x ?

14. Twenty bottles contain a total of 8 liters of apple juice. If each bottle contains the same amount of apple juice, how many liters of juice are in each bottle?

15. The American Ballet Repertory Company will choose 4 new corps members from its apprentice program. The apprentice program is made up of 6 women and 6 men. If 3 women and 1 man are to be chosen for the corps, how many different groupings are possible?

16. The estimated population of rabbits in a certain forest is given by the function P(t) = at + 120 where t is an integer which represents the number of years after the rabbit population was first counted, 0 ≥ t ≥ 10, and a is a constant. If there were 192 rabbits 3 years after the population was first counted, how many rabbits will there be 7 years after the population was first counted?

17. In the figure above, the radius of the circle with center A is twice the radius of the circle with center B and four times the radius of the circle with center C. If the sum of the areas of the three circles is 84π, what is the length of ?

18. One-fifth of the cars in a parking lot are blue and of the blue cars are convertibles. If of the convertibles in the parking lot are blue, then what percent of the cars in the lot are neither blue nor convertibles? (Disregard the % sign when gridding your answer.)

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 7
Time — 25 minutes
35 Questions

Turn to Section 7 of your answer sheet to answer the questions in this section.

Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet.

1. Rotary phones, once the height of technology, are now so obsolete and rare as to be unknown to younger generations.

(A) are now so obsolete and rare as to be unknown to younger generations

(B) are now so obsolete and rare and unknown to younger generations

(D) now are obsolete and rare, which means that younger generations are unaware of it

(E) now are unknown and younger generations think they are obsolete and rare

2. The hearings of the McCarthy era often cast doubt on the integrity of those brought to trial as well as anyone that had a relation to them, however distant.

(A) that had a relation to them, however distant

(B) with relationships to them, even distantly

(D) with a relationship to the defendants, however distantly

(E) related to them, however distant

3. When you look at a sixteenth-century painting of the Annunciation by Lorenzetti or Giotto, one may notice certain sartorial or architectural details outlined in gold leaf.

(A) one may notice

(B) people may notice

(D) one may be noticing

(E) one’s thoughts are

4. Fats nicknamed “trans fats” cling to body cells for 57 days, and this is not true of unsaturated fats such as olive and canola oils, which nourish the body without damaging the cells.

(A) and this is not true of unsaturated fats such as olive and canola oils, which nourish

(B) not true of unsaturated fats such as olive and canola oils, which nourish

(D) unsaturated fats such as olive and canola oils nourish

(E) but unsaturated fats such as olive and canola oils nourish

5. Knoll, known for their Scandinavian designs, sells the Barcelona chair that the architect Mies van der Rohe designed in the style of his own building in Barcelona.

(A) known for their Scandinavian designs

(B) known for its Scandinavian designs

(D) though they’re known for Scandinavian designs

(E) known to be Scandinavian designers

6. Towing companies face harsh new restrictions that detail where they can operate, which vehicles are off limits, and when they can begin; because of new legislation is why.

(A) because of new legislation is why

(B) new legislation being the reason

(D) these restrictions are the result of new legislation

(E) all of those restrictions come from new legislation recently passed

7. The increase in hours they are required to work in an understaffed, unsupportive situation have angered the nurses at West Branch Rest Home and threatened a walkout.

(A) have angered the nurses at West Branch Rest Home and threatened a walkout

(B) has angered the nurses at West Branch Rest Home and caused them to threaten a walkout

(D) has angered the nurses at West Branch Rest Home, which caused a threat to have a walkout

(E) has angered the nurses at West Branch Rest Home to have a walkout

8. Galleons, a sailing ship from the seventeenth century, were known for their large size, however they were unable to sail into the wind because of the design of their sails.

(A) a sailing ship from the seventeenth century, were known for their

(B) a sailing ship from the seventeenth century, was known for its

(D) seventeenth-century sailing ships, was known for its

(E) seventeenth-century sailing ships, were known for their

9. Just an hour after Evan and Ken reached the skate park, he fell and broke his wrist in two places.

(A) he fell and broke his wrist in two places

(B) his wrist broke when he fell in two places

(D) Evan fell and broke his wrist in two places

(E) Evan was falling and breaking two bones in his wrist

10. The Advanced Acting course requires neither a final exam or project other than the performance of a major role in the spring play.

(A) neither a final exam or project other than the performance of

(B) no final exam and assigns no project, but does expect each student to perform

(D) no other final exam nor assigns any project other than to be performing

(E) neither a final exam or a major project other than performing

11. Many regard Sappho as the writer who originated the tradition of expressing tormented love in Western poetry.

(A) regard Sappho as

(B) regard Sappho to be

(D) consider that Sappho is

(E) consider Sappho as being

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

Directions: The following passage is an early draft of an essay. Some parts of the passage need to be rewritten.

Read the passage and select the best answers for the questions that follow. Some questions are about particular sentences or parts of sentences and ask you to improve sentence structure or word choice. Other questions ask you to consider organization and development. In choosing answers, follow the requirements of standard written English.

Questions 30–35 are based on the following passage.

(1) When I agreed to stage-manage my school’s production of Guys and Dolls, I really had no idea of what a stage manager actually did. (2) Still, I decided that it would be an interesting experience, and a way to get involved with theater, since I am definitely not an actor. (3) Besides, if there were already a director, a choreographer, and sets and lights to be built and run by technicians, how much could there be left for a stage manager to do? (4) I figured that I would spend a lot of time watching rehearsal and doodling into my script.

(5) My illusions were shattered by the first rehearsal. (6) I discovered that it was my responsibility to make sure that all of the actors were present, had scripts, and gave me their schedules before they left the room. (7) It became a nightmare. (8) I found that it was virtually impossible to get all twenty-five cast members together for a group scene, especially since actors kept calling me with emergency orthodontist appointments, and last-minute family gatherings. (9) When the actor who was playing Sky was sick one day and had to miss rehearsal, I had to walk through his part myself. (10) It was probably the first time in the history of American theater that Sky Masterson was ever wearing a miniskirt and leggings.

(11) I sat to the side of the stage, with my script open on a music stand in front of me. (12) “Standby, cue 1,” I whispered into my headset. (13) “Cue 1: go.” The lights came up, the show began, and I knew that it had all been worthwhile.

30. Which of the following words or phrases is unnecessary in sentence 1?

(A) production of

(B) actually did

(D) When

(E) really

31. In context, which version of the underlined part of sentence 3 (reproduced below) is the best?

Besides, if there were already a director, a choreographer, and sets and lights to be built and run by technicians, how much could there be left for a stage manager to do?

(A) (As it is now)

(B) and sets, lights, and technicians

(D) and technicians to build the sets and run the lights

(E) and technicians who would run the lights and be building the sets

32. In context, the best version of the underlined portion of sentence 10 (reproduced below) is which of the following?

It was probably the first time in the history of American theater that Sky Masterson was ever wearing a miniskirt and leggings.

(A) (As it is now)

(B) had ever worn

(D) would ever be wearing

(E) had ever before worn

33. Which of the following sentences, if added at the beginning of the final paragraph, would provide the best transition?

(A) Luckily, the actor soon regained his health.

(B) We rehearsed for five weeks.

(D) Everyone was filled with nervous excitement.

(E) I communicated with the light and sound operators through a headset.

34. The writer’s story would be most improved if a paragraph were included on which of the following topics?

(A) The author’s other extracurricular activities

(B) The author’s responsibilities during different phases of rehearsal

(D) The audition process

(E) The plays produced in previous years

35. In context, which is the best version of the underlined portion of sentence 11 (reproduced below)?

I sat to the side of the stage, with my script open on a music stand in front of me.

(A) (As it is now)

(B) stage, my script being open

(D) stage. With my script opened

(E) stage. My script open

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 8
Time — 20 minutes
16 Questions

Turn to Section 8 of your answer sheet to answer the questions in this section.

1. If 6 – y = 2y – 6, what is the value of y ?

(A) 0

(B) 2

(D) 6

(E) 12

2. Which of the following points can be connected to point a by a continuous path without crossing any line or curve in the figure above?

(A) v

(B) w

(D) y

(E) z

3. Computer production at a factory occurs during two shifts, as shown in the chart above. If computers are produced only during the morning and afternoon shifts, on which of the following pairs of days is the greatest total number of computers produced?

(A) Monday and Thursday

(B) Tuesday and Thursday

(D) Tuesday and Friday

(E) Monday and Friday

4. If a rectangular swimming pool has a volume of 16,500 cubic feet, a uniform depth of 10 feet, and a length of 75 feet, what is the width of the pool, in feet?

(A) 22

(B) 26

(D) 110

(E) 1,650

5. Cindy has a collection of 80 records. If 40% of her records are jazz records, and the rest are blues records, how many blues records does she have?

(A) 32

(B) 40

(D) 48

(E) 50

6. A science class has a ratio of girls to boys of 4 to 3. If the class has a total of 35 students, how many more girls are there than boys?

(A) 20

(B) 15

(D) 5

(E) 1

7. The graph above shows y = 2x. Which of the following graphs represents y = |2x|?

(A)

(B)

(C)

(D)

(E)

8. The length of a certain rectangle is twice the width. If the area of the rectangle is 128, what is the length of the rectangle?

(A) 4

(B) 8

(D) 21

(E) 42

9. Which of the lettered points on the number line above could represent the result when the coordinate of point T is divided by the coordinate of point S ?

(A) A

(B) B

(D) D

(E) E

10. For positive integer x, 10 percent of x percent of 1,000 is equal to which of the following?

(A) x

(B) 10x

(D) 1,000x

(E) 10,000x

11. In the figure above, A and B are the centers of two circles of identical circumference. is tangent to both circles and parallel to (not shown). If r is the radius of the circle with center A, what is the area of quadrilateral ABCD (not shown) in terms of r ?

(A) 4r²

(B) 4r

(D) 2r

(E) r²

12. Nails are sold in 8-ounce and 20-ounce boxes. If 50 boxes of nails were sold and the total weight of the nails sold was less than 600 ounces, what is the greatest possible number of 20-ounce boxes that could have been sold?

(A) 34

(B) 33

(D) 17

(E) 16

13. If and x > y > 0, then which of the following is equal to ?

(A) x + y

(B) x – y

(C)

(D)

(E)

14. In the xy-plane, which of the following is a point of intersection between the graphs of y = x + 2 and y = x² + x − 2 ?

(A) (0, −2)

(B) (0, 2)

(D) (2, 4)

(E) (3, 5)

15. If f(g(a)) = 6, f(x) = + 2, and g(x) = |x² − 10|, which of the following is a possible value of a?

(A)

(B)

(D) 6

(E) 18

16. If PQRS is a parallelogram, then which of the following must be equal to x?

(A) 180 – b

(B) 180 – c

(D) a + c

(E) b + c

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 9
Time — 20 minutes
19 Questions

Turn to Section 9 of your answer sheet to answer the questions in this section.

Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet.

1. The success of the school’s book club is owed to the club’s policy that the novels selected, authored by a ------- group, cover a broad array of subject matters and range of historical eras.

(A) scholarly

(B) meritorious

(D) erudite

(E) sophisticated

2. The apparent ------- with which professional skiers descend the slopes is deceptive; this activity requires ------- effort and intense concentration.

(A) trepidation . . conscious

(B) motivation . . resolute

(D) consideration . . unpredictable

(E) insouciance . . minimal

3. The children in the parade wore a range of costumes, some dressing in classic ghost or witch costumes, some as civic figures such as firefighters or police officers, and others as famous singers and other ------- of popular culture.

(A) monikers

(B) diplomats

(D) pariahs

(E) dupes

4. Mr. Planka’s explanations were unnecessarily -------, incorporating entirely too many layers of trivial information that his students did not need.

(A) winsome

(B) terse

(D) fallacious

(E) deafening

5. Reflecting upon her vacation, Cecilia felt that it was both ------- and -------; she enjoyed visiting New York, but did not like all the traveling required to get there.

(A) arduous . . distressing

(B) realistic . . dramatic

(D) restful . . wearisome

(E) traditional . . consistent

6. Despite appearing stylistically -------, Pablo Picasso’s paintings exhibit artistic ------- on multiple levels.

(A) superficial . . inaccuracy

(B) excessive . . abundance

(D) unsophisticated . . complexity

(E) imaginative . . creativity

Questions 7–19 are based on the following passages.

The discipline of physics has seen a number of changes in the last 100 years. The following passages discuss two of those changes.

Passage 1

Passage 2

7. The authors of both passages would most probably agree with which of the following statements?

(A) Democritus and Newton both struggled to see their theories accepted by others.

(B) Neither Democritus nor Newton received credit for his theory.

(D) The atomic model of matter and the theory of the expanding universe cannot both be correct.

(E) Scientists may adopt particular theories in spite of weak or contradictory evidence.

8. In line 5, the word “promulgated” most nearly means

(A) plagiarized

(B) dismissed

(D) obscured

(E) promoted

9. The author would most likely agree about the “seed” (line 13) that

(A) Although his view was initially met with skepticism, Democritus was among the first to advocate an atomic theory.

(B) Although he was known more for his work in politics, Democritus also made important scientific discoveries.

(D) Democritus was unduly credited with being the father of Greek atomism.

(E) Democritus was more known for his discovery of calculus than for his theory of atomism.

10. The “obsession” that the author describes in line 19 can best be described as

(A) Democritus’ desire to see his ideas accepted by the scientific community

(B) physicists’ search for Democritus’ original writings on atoms

(D) modern scientists’ quest for a simple unifying property of everyday matter

(E) early nineteenth-century chemists’ search for the first solid evidence of atomism

11. The third paragraph of Passage 1 is used by the author to

(A) express dismay at the narrow-mindedness of early scientists

(B) highlight the passionate acceptance of a once spurned theory

(D) transition into a discussion of the usefulness of atomic theory

(E) show how modern physicists are unwilling to explore alternatives to atomic theory

12. The last paragraph of Passage 1 suggests that

(A) it was only after the physicists proved the existence of atoms that the chemists believed their claims

(B) chemistry was the first scientific field to take atomic theory seriously

(D) while physicists first proved the theory, it was chemists who made the most practical use of atoms

(E) the recognition of chemistry and physics as separate disciplines is arbitrary and detrimental to the pursuit of knowledge

13. Which of the following can be inferred from lines 3–4 of Passage 2 about the expanding universe?

(A) It was incompatible with accepted nineteenth-century beliefs.

(B) Newton discovered it during his work with gravity.

(D) The existence of gravity makes it impossible for the universe to expand.

(E) The expanding universe theory cannot be proven.

14. The author of Passage 2 mentions Newton (line 49) in order to

(A) point out the ignorance of many physicists

(B) give one example of a proponent of the expanding universe theory

(D) provide evidence that the universe is not expanding

(E) show the consequences of a scientist’s disregard for a new theory

15. The author’s reference to a rocket (lines 57–63) serves to illustrate

(A) the implications of an expanding universe

(B) the forces governing the universe’s gradual expansion

(D) the way in which gravity prevents the universe from expanding

(E) the theory of a static universe

16. In Passage 2, the author’s description of Einstein’s general theory of relativity (line 68) serves to

(A) bolster the author’s theory that the universe is expanding

(B) show that scientists were reluctant to abandon the theory of a static universe

(D) question the validity of the theory of the expanding universe

(E) underscore Einstein’s reliance on Newtonian physics

17. The term “cosmological constant” (line 71) refers to

(A) a mathematical constant employed by Einstein to bring his theories in line with the idea of a static universe

(B) an equation used by Einstein to debunk Newton’s ideas about universal expansion

(D) the mathematical model that was used to disprove Newtonian physics

(E) the theory that the mass of all matter in the universe must remain the same

18. In the last line of Passage 2, the word “static” most nearly means

(A) charged

(B) conflicting

(D) unchanging

(E) dynamic

19. Based on the information in both passages, a difference between atomism and the expanding universe theory is

(A) the idea of atomism can be traced to the ancient Greeks, while the model of the expanding universe is a relatively recent theory

(B) atomism is easier to understand and explore than the static universe theory

(D) the theory of atomism has been thoroughly proven, while the static universe theory is now thought to be incorrect

(E) the static universe theory is more adaptable to modern science than is the atomistic theory

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

SECTION 10
Time — 10 minutes
14 Questions

Turn to Section 10 of your answer sheet to answer the questions in this section.

Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet.

1. Of the top investment firms, only the few that have complied with SEC guidelines should be trusted by investors looking for a good place to build capital.

(A) Of the top investment firms, only the few that have complied with SEC guidelines

(B) Of the top investment firms, only a few, those which have compliance with SEC guidelines,

(D) Only a few of the top investment firms, in which the SEC guidelines were complied by,

(E) Only a few of the top investment firms complied with SEC guidelines,

2. The audience, though still trying to appreciate the modern theater production, are getting restless and won’t be able to sit still for much longer.

(A) production, are getting restless and won’t be able to

(B) production is getting restless and aren’t able to

(D) production is getting restless and they won’t be able to

(E) production, is getting restless and won’t be able to

3. Antique furniture can be worth a great deal of money, but so many fakes abound that it can be difficult to distinguish valuable and worthless pieces.

(A) valuable and worthless pieces

(B) valuable to worthless pieces

(D) between valuable from worthless pieces

(E) valuable pieces from those that are worthless pieces

4. Unlike the Asian people that we now think of as Japanese, the first settlements in the Japanese Archipelago were established by Caucasians called the Ainu.

(A) the first settlements in the Japanese Archipelago were established by Caucasians called the Ainu

(B) the settling of the Japanese Archipelago was first done by the Ainu, who were Caucasians

(D) the Ainu, as Caucasians, were the first to establish settlements in the Japanese Archipelago

(E) settling the Japanese Archipelago was first done by Caucasians called the Ainu

5. A Mongol emperor associated with ancient Chinese splendor, the tiny Japanese fleet nevertheless managed to defeat Kublai Khan’s huge, nearly invincible army.

(A) splendor, the tiny Japanese fleet nevertheless managed to defeat Kublai Khan’s huge, nearly invincible army

(B) splendor, the tiny Japanese fleet nevertheless being the first to defeat Kublai Khan’s huge nearly invincible army

(D) splendor, Kublai Khan commanded a nearly invincible army that was nevertheless defeated by the tiny Japanese fleet

(E) splendor, the tiny, nearly invincible fleet of the Japanese nevertheless managing to defeat the huge army commanded by Kublai Khan

6. In 1666, the Great Fire of London, though it destroyed over 14,000 buildings and left 100,000 people homeless, actually ended the bubonic plague outbreak by incinerating the rats that carried the disease.

(A) homeless, actually ended

(B) homeless, actually ending

(D) homeless; actually ended

(E) homeless, and it ended

7. Though all of Dawn’s Siamese kittens are descended from the same four progenitors, each kitten has its own distinct personality.

(A) each kitten has its own distinct personality

(B) each kitten has their own distinct personalities

(D) which each has its own distinct personality

(E) each kitten is having a distinct personality of their own

8. Jenna was very self-assured about the upcoming audition, this confidence gave her the ability to continue performing her scene even after she forgot several lines.

(A) this

(B) and this

(D) that

(E) because her

9. One of the deciding factors in Edward III’s retreat from France in 1390 was a freak electrical hailstorm; killing scores of his horses and armored knights.

(A) hailstorm; killing

(B) hailstorm and it killed

(D) hailstorm, being the death of

(E) hailstorm that killed

10. The effects of the poliomyelitis that author Kyra Stanley contracted as a young child had been evident in her early stories.

(A) had been evident

(B) being evident

(D) were evident

(E) and she was evident

11. During his semester of student teaching, the observation of several students copying from each other’s papers without consequence gave Mr. Peters the impression that the school had no effective policy against cheating.

(A) the observation of several students copying from each other’s papers without consequence gave Mr. Peters

(B) Mr. Peters observed several students copying from each other’s papers without consequence; he formed

(D) Mr. Peters, observing several students copying from each other’s papers without consequence and forming

(E) the observation by Mr. Peters of several students copying from each other’s papers without consequence gave him

12. When Jacques Lacan was developing his psychoanalytical theories, ideas from Freud, Heidigger, and even the structural linguists were used, but also original concepts were added by him.

(A) ideas from Freud, Heidigger, and even the structural linguists were used, but also original concepts were added by him

(B) ideas from Freud, Heidigger, and even the structural linguists were used, as well as original concepts were added by him

(D) he used not only ideas from Freud, Heidigger, and even the structural linguists and added original concepts, too

(E) ideas from Freud, Heidigger, the structural linguists, and original concepts were added by him

13. The nutrition guideline called the “Food Pyramid” has not been as effective in fighting obesity and heart disease as experts had anticipated; as a result, reduced levels of carbohydrate intake will be recommended by them.

(A) reduced levels of carbohydrate intake will be recommended by them

(B) experts now recommend eating fewer carbohydrates

(D) the recommendations for reduced carbohydrate intake will be made by them

(E) will be recommending reduced levels of carbohydrate intake

14. In contrast to them in New York and other American cities, Belgium’s streets are not littered with fast food containers and discarded papers; however, pedestrians do need to watch out for dog droppings.

(A) In contrast to them in New York and other American cities, Belgium’s streets

(B) Belgium’s streets, in contrast to them in New York and other American cities,

(D) Belgium’s streets, in contrast to those in New York and other American cities,

(E) Belgium’s streets contrast to New York and American cities, they

S T O P
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section in the test.

PRACTICE TEST 2: ANSWER KEY

SAT SCORING WORKSHEET

For directions on how to score your SAT practice test, see this page. Section 5 is the unscored, Experimental section.

(Click here to download a PDF of the Scoring Worksheet)

SAT Writing Section

SAT Critical Reading Section

SAT Math Section

SAT SCORE CONVERSION TABLE

WRITING MULTIPLE-CHOICE SUBSCORE CONVERSION TABLE