Sat - MC Grawhill part 75 pot

730 MCGRAW-HILL’S SAT 5 5 555 5 11. If the sum of two numbers is 4 and their difference is 2, what is their product? Note: Figure not drawn to scale. 12. In rectangle LMNO above, P is the midpoint of side LM –— . If the perimeter of the rectangle is 48 and side LM –— is twice the length of side LO –— , what is the area of the shaded region? 13. If 64 3 = 4 x , what is the value of x? 14. Points P, Q, R, and S lie on a line in that order. If PS — is twice as long as PR — and four times as long as PQ ––– , what is the value of ? 15. The figure above shows the graph in the xy-plane of a quadratic function with a vertex at (m, n). What is the value of m? QS PQ 16. If the sum of five consecutive even integers is 110, what is the least of these integers? 17. According to the data in the table above, by what percent did the number of applicants to Collins College increase from 1990 to 1995? (Disregard the % symbol when entering your answer into the grid. For instance, grid 50% as 50.) 18. A jar contains only black, white, and red mar- bles. If randomly choosing a black marble is four times as likely as randomly choosing a white marble, and randomly choosing a red marble is five times as likely as randomly choosing a black marble, then what is the smallest possible num- ber of marbles in the jar? LPM ON NUMBER OF APPLICANTS TO COLLINS COLLEGE YEAR 1980 1985 1990 1995 2000 APPLICANTS 15,000 18,000 20,000 24,000 25,000 STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section of the test. y x (4, 6) (–1, 6) (m, n) O CHAPTER 16 / PRACTICE TEST 3 731 GO ON TO THE NEXT PAGE 3. Rachel’s driving is not surprising, given that she spends hours each day en- snarled in traffic delays. (A) antipathy for . . delightful (B) penchant for . . uncountable (C) predilection for . . dreary (D) proclivity for . . desperate (E) aversion to . . insufferable 4. Many medical practices once considered “state of the art” are now thought to be by physi- cians who are often incredulous that such bar- baric acts were once (A) primitive . . sanctioned (B) ingenious . . approved (C) boorish . . censured (D) innovative . . endorsed (E) foolhardy . . condemned 5. The Prime Minister had vetoed the proposal several times in the past; thus, it came as a great surprise to the public when he the same law in his most recent speech. (A) articulated (B) sanctioned (C) denounced (D) initiated (E) abbreviated 1. If John had not been there to when ten- sions began to rise at the meeting, a fight would surely have ensued. (A) intervene (B) coalesce (C) harass (D) intermingle (E) exacerbate 2. The defendant hoped that the testimony of the surprise witness would corroborate his alibi and him of the crime of which he had been accused. (A) convoke (B) synthesize (C) impeach (D) absolve (E) magnify 6 6 666 6 SECTION 6 Time—25 minutes 24 questions Turn to Section 6 of your answer sheet to answer the questions in this section. Directions: For each question in this section, select the best answer from among the choices given and fill in the corresponding circle on the answer sheet. Each sentence below has one or two blanks, each blank indicating that something has been omitted. Beneath the sentence are five words or sets of words labeled A through E. Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole. EXAMPLE: Rather than accepting the theory unquestion- ingly, Deborah regarded it with . (A) mirth (B) sadness (C) responsibility (D) ignorance (E) skepticism A C D E B 732 MCGRAW-HILL’S SAT Questions 8–9 are based on the following passage. “Dying with dignity” is a topic that has inspired deep debate among the members of the medical community. Should an individual be allowed to determine when he or she wants to die? Should a person who is merely receiv- ing palliative care that provides no hope of a cure be allowed to tell a doctor to stop all treatment so she can die in peace? How can a doctor know if a patient has the mental capac- ity to decide for herself that the time has come to stop fighting the disease? It is a challenging and persistent debate. 8. As used in line 6, “palliative” most nearly means (A) punitive (B) remedial (C) analgesic (D) curative (E) altruistic 9. The passage suggests that in cases of extreme illness, doctors may have difficulty in deter- mining their patients’ (A) state of mind (B) prognosis (C) quality of life (D) tolerance of pain (E) ability to remember facts GO ON TO THE NEXT PAGE Questions 6–7 are based on the following passage. The reverence for their goddess of protection accounts for the respect Navajos show to the women of their tribe. The tradition is that a man never lifts his hand against a woman, although it is not an unusual thing for a squaw to administer a sound thrashing to a warrior husband who has offended her. All of the sheep, which constitute the great wealth of the tribe, are owned by the women, and in the various families the line of descent is al- ways on the side of the women. The Navajos have little or no idea of a future existence but are firm believers in the transmigration of souls. For this reason they have great rever- ence for different animals and birds, which are supposed to be the re-embodiment of departed spirits of Navajos. 6. Based on the information in the passage, with which of the following statements would the author most likely agree? (A) Navajo warriors obey their wives obsequiously. (B) Birds are a particularly vital food source for the Navajo. (C) A Navajo man who disrespects a woman would likely face censure. (D) The Navajo do not believe in reincarnation. (E) In the winter, the Navajo migrate to warmer climates. 7. The word “administer” in line 6 most nearly means (A) manage (B) maintain (C) govern (D) rehearse (E) dispense 6 6 666 6 Line 5 10 15 First passage: “The Navajo Indians,” William M. Edwardy, Harper’s Weekly, July 1890 Second passage: Copyright 2004 Mark Anestis. All rights reserved. Line 5 10 The passages below are followed by questions based on the content. Answer the questions on the basis of what is stated or implied in the pas- sage and in any introductory material that may be provided. CHAPTER 16 / PRACTICE TEST 3 733 Questions 10–16 are based on the following passage. The following passage is excerpted from a recent book about seismology, the study of earthquakes. In the 1970s, there was great optimism about earthquake prediction. A few so-called earth- quake precursors had come to light, and there was even a theory (known as dilatancy) put forth to explain many of the phenomena that come before a large earthquake. A series of foreshocks is an example of a precursor. How- ever, since foreshocks look just like any other earthquakes, they are not in themselves very useful in prediction. From all points around the globe, there are numerous anecdotal re- ports about other precursors, earthquake folk- lore, if you will. Many widely reported earthquake precur- sors are related to groundwater. A few hours before a large earthquake, marked changes have been reported in the level or flow of wells and springs. Groundwater has also reportedly changed temperature, become cloudy, or ac- quired a bad taste. Occasionally, electrostatic phenomena such as earthquake lights (similar to St. Elmo’s fire that appears on ships during electrical storms) and changes in the local magnetic field have been reported. Anecdotal reports also persistently include the strange behavior of animals, which might be linked to electrostatic phenomena or foreshocks. Changes in strain and creep (silent tectonic motion, without accompanying earthquake) along a fault normally locked by friction could also be considered precursors. In China in the 1970s, it became popular for people to predict earthquakes using “back- yard” measurements such as the monitoring of well levels and observation of farm animals. At least one earthquake, the Haicheng quake in 1975, was successfully predicted and a 6 6 666 6 GO ON TO THE NEXT PAGE town evacuated, proving that, at least in some cases, earthquake prediction is possible. The Haicheng earthquake had hundreds of fore- shocks, making it an easier-than-average earthquake to predict. Groundwater changes and anomalous animal behavior were also re- ported (for example, hibernating snakes sup- posedly awoke and froze to death). In China, “evacuation” meant that compulsory outdoor movies were shown, so that when the quake did happen and the town was severely dam- aged, no one was killed. But Chinese seismol- ogists missed predicting the catastrophic Tangshan earthquake, in which at least 250,000 reportedly perished. 10. Which of the following is the best title for this passage? (A) The Effects of Earthquakes on Groundwater (B) The Search for Earthquake Precursors (C) A Novel Theory of the Origin of Earthquakes (D) A History of Chinese Earthquakes (E) How Animals Anticipate Earthquakes 11. The passage indicates that foreshocks are “not . . . very useful” (lines 9–10) in predicting earthquakes because they (A) are exceptionally difficult to detect (B) occur simultaneously with changes in groundwater (C) are not part of the theory of dilatancy (D) interfere with electrostatic phenomena (E) are impossible to distinguish from earth- quakes themselves Line 5 10 15 20 25 30 35 Excerpted from Furious Earth, by Ellen J. Prager, McGraw-Hill, New York, 2000. Reproduced with permission of The McGraw-Hill Companies. 40 45 50 734 MCGRAW-HILL’S SAT 6 6 666 6 GO ON TO THE NEXT PAGE 12. According to the passage, which of the follow- ing features of groundwater have been re- ported to change immediately prior to an earthquake (lines 16–20)? I. density II. clarity III. flow (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II, and III 13. Which of the following could be considered a logical inconsistency in the passage? (A) The passage states that foreshocks are not useful predictors of earthquakes but then cites foreshocks as instrumental to predicting an earthquake. (B) The passage says that the Chinese are in- terested in predicting earthquakes but then says that they were devastated by the Tangshan earthquake. (C) The passage reports that animals be- haved strangely before an earthquake but then attributes this behavior to elec- trostatic phenomena. (D) The passage states that the town of Haicheng was safely evacuated but then says that its citizens were forced to watch outdoor movies. (E) The passage suggests that both strain and creep could be considered earth- quake precursors. 14. Which of the following best describes the func- tion of the third paragraph? (A) to describe an application of a theory (B) to provide an alternative perspective (C) to recount a scientific experiment (D) to summarize the ancient origins of a theory (E) to demonstrate the difficulties of employ- ing a technique 15. The passage suggests that the Tangshan earthquake (A) was caused by strain and creep (B) was preceded by changes in the ground- water (C) caused more damage than the Haicheng earthquake did (D) was preceded by several foreshocks (E) was anticipated by the theory of dilatancy 16. In line 46, the word “evacuation” is placed in quotations in order to (A) imply that an action was ineffective (B) indicate that it is an archaic term (C) emphasize the primitiveness of Chinese scientific methods (D) suggest that a certain practice was unconventional (E) underscore that an action was intended, but not implemented CHAPTER 16 / PRACTICE TEST 3 735 6 6 666 6 GO ON TO THE NEXT PAGE Questions 17–24 are based on the following passage. The following passage contains an excerpt taken from an anthology of autobiographies of Amer- ican women. On landing in America, a grievous dis- appointment awaited us; my father did not meet us. He was in New Bedford, Massachu- setts, nursing his grief and preparing to return to England, for he had been told that the John Jacob Westervelt had been lost at sea with every soul on board. One of the missionaries who met the ship took us under his wing and conducted us to a little hotel, where we remained until father had received his incredible news and rushed to New York. He could hardly believe that we were really restored to him; and even now, through the mists of more than half a cen- tury, I can still see the expression in his wet eyes as he picked me up and tossed me into the air. I can see, too, the toys he brought me— a little saw and a hatchet, which became the dearest treasures of my childish days. They were fatidical 1 gifts, that saw and hatchet; in the years ahead of me I was to use tools as well as my brothers did, as I proved when I helped to build our frontier home. We went to New Bedford with father, who had found work there at his old trade; and here I laid the foundations of my first child- hood friendship, not with another child, but with my next-door neighbor, a ship-builder. Morning after morning, this man swung me on his big shoulder and took me to his ship- yard, where my hatchet and saw had violent exercise as I imitated the workers around me. Discovering that my tiny petticoats were in my way, my new friends had a little boy’s suit made for me; and thus emancipated, at this tender age, I worked unwearyingly at his side all day long and day after day. The move to Michigan meant a complete upheaval in our lives. In Lawrence we had around us the fine flower of New England civilization. We children went to school; our parents, though they were in very humble cir- cumstances, were associated with the leading spirits and the big movements of the day. When we went to Michigan, we went to the wilderness, to the wild pioneer life of those times, and we were all old enough to keenly feel the change. Every detail of our journey through the wilderness is clear in my mind. My brother James met us at Grand Rapids with what, in those days, was called a lumber-wagon, but which had a horrible resemblance to a vehicle from the health department. My sisters and I gave it one cold look and turned from it; we were so pained by its appearance that we re- fused to ride in it through the town. Instead, we started off on foot, trying to look as if we had no association with it, and we climbed into the unwieldy vehicle only when the city streets were far behind us. 17. Immediately upon arriving in America, the au- thor was cared for by (A) John Jacob Westervelt (B) her father (C) a missionary (D) a childhood friend (E) a shipbuilder neighbor 18. In line 12, the word “restored” most nearly means (A) updated (B) refurbished (C) put into storage (D) deposited (E) returned 1 Prophetic Excerpted from “The Story of a Pioneer” by Anna Howard Shaw, in Autobiographies of American Women: An Anthology © 1992 by Jill Ker Conway, ed., pp. 475–477 Line 5 10 15 20 25 30 35 40 45 50 55 60 736 MCGRAW-HILL’S SAT 6 6 666 6 19. Which of the following best describes the rela- tionship between the narrator and the men in her life? (A) She gladly provides for their needs. (B) She considers herself their equal. (C) She feels overly dependent on them. (D) She wishes to avoid them. (E) She believes that they suppress her wishes. 20. The author was “emancipated” (line 34) so that she might more easily (A) spend time with her father (B) play with her young friends (C) travel throughout New Bedford (D) work with tools (E) move to Michigan 21. In line 43, the word “movements” most nearly means (A) travels (B) cosmetic alterations (C) cultural changes (D) physical actions (E) mechanical workings 22. The author indicates that she regarded New England as superior to Michigan in that New England I. had humbler citizens II. was more culturally developed III. had finer gardens (A) II only (B) III only (C) I and II only (D) II and III only (E) I, II, and III 23. The author’s attitude toward her move to Michi- gan is best described as (A) eager (B) awed (C) fearful (D) resentful (E) bewildered 24. The sisters refused to ride in the lumber wagon mainly because (A) they were embarrassed by its appearance (B) they felt it was unsafe (C) they had bad memories of it (D) it was cold (E) it lacked sufficient room for both of them STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section of the test. CHAPTER 16 / PRACTICE TEST 3 737 7 7 777 7 GO ON TO THE NEXT PAGE 1. If 4x + 5 = 20, what is the value of 4x + 8? (A) 3 (B) 7 (C) 16 (D) 23 (E) 30 2. If one serving of cereal is cup, how many servings are in 3 pints of cereal? (1 pint = 2 cups) (A) 3 (B) 9 (C) 18 (D) 27 (E) 36 1 3 3. If the radius of the circle with center O above is 4, what is the length of arc RST? (A) 2π (B) 4π (C) 8π (D) 12π (E) 16π R T O S SECTION 7 Time—20 minutes 16 questions Turn to Section 7 of your answer sheet to answer the questions in this section. Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You may use any available space for scratchwork. 1. The use of a calculator is permitted. 2. All numbers used are real numbers. 3. Figures that accompany problems in this test are intended to provide information useful in solv- ing the problems. They are drawn as accurately as possible EXCEPT when it is stated in a spe- cific problem that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. 4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real num- bers x for which f(x) is a real number. The number of degrees of arc in a circle is 360. The sum of the measures in degrees of the angles of a triangle is 180. Notes Reference Information r A = πr 2 C=2πr ᐉ w A = ᐉw V = ᐉwh V = πr 2 h Special right triangles c 2 = a 2 + b 2 A = 1 / 2 bh h b ᐉ w h r h b c a 2x x x s s s 3 2 30° 60° 45° 45° 738 MCGRAW-HILL’S SAT 7 7 777 7 GO ON TO THE NEXT PAGE Note: Figure not drawn to scale. 4. In the triangle above, what is the value of x? (A) 7 (B) (C) (D) (E) 5. For x > 0, let ∇x be defined by the equation ∇x = 3x − 3. Which of the following is equiv- alent to ? (A) ∇2 (B) ∇3 (C) ∇6 (D) ∇8 (E) ∇9 6. Stephanie can clean a pool in 1 hour, and Mark can clean the same pool in 1.5 hours. If the rate at which they work together is the sum of their rates working separately, how many minutes should they need to clean the pool if they work together? (1 hour = 60 minutes) (A) 24 minutes (B) 36 minutes (C) 60 minutes (D) 72 minutes (E) 100 minutes 7. Which of the following has the greatest value? (A) (100 3 ) 4 (B) (100 5 )(100 6 ) (C) (10,000) 4 (D) (100 2 × 100 2 ) 2 (E) (1,000,000) 3 ∇ ∇ 7 3 28 3 14 3 73 72 8. Line m (not shown) is the reflection of line l over the x-axis. What is the slope of line m? (A) 3/2 (B) 2/3 (C) 0 (D) −2/3 (E) −3/2 9. If a 2 + b 2 = 4 and ab = 5, what is the value of (a + b) 2 ? (A) 10 (B) 12 (C) 14 (D) 16 (E) 18 10. The figure above shows the dimensions, in feet, of a stone slab. How many of these slabs are required to construct a rectangular patio 24 feet long and 12 feet wide? (A) 18 (B) 20 (C) 24 (D) 36 (E) 48 x 14 30° x y 123456 1 2 3 4 5 6 l 1 2 2 3 CHAPTER 16 / PRACTICE TEST 3 739 7 7 777 7 11. $12,000 in winnings for a golf tournament were distributed in the ratio of 7:2:1 to the first-, second-, and third-place finishers, re- spectively. How much money did the first- place finisher receive? (A) $1,200 (B) $1,700 (C) $2,400 (D) $8,400 (E) $10,000 12. If 2x + 3y = 7 and 4x − 5y = 12, what is the value of 6x − 2y? (A) 5 (B) 8 (C) 15 (D) 17 (E) 19 13. If r and s are positive integers and s + 1 = 2r, which of the following must be true? I. s is odd II. r is even III. is an integer (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II, and III 14. A bag contains six chips, numbered 1 through 6. If two chips are chosen at random without re- placement and the values on those two chips are multiplied, what is the probability that this product will be greater than 20? (A) (B) (C) (D) (E) 13 15 1 5 2 15 1 15 1 30 s rr + 1 2, −4, −8, . . . 15. In the sequence above, each term after the sec- ond is equal to the product of the two preced- ing terms. For example, the third term, −8, is the product of 2 and −4. How many of the first 100 terms of this sequence are negative? (A) 33 (B) 34 (C) 50 (D) 66 (E) 67 16. In the figure above, points C and D are mid- points of edges of a cube. A triangle is to be drawn with R and S as two of the vertices. Which of the following points should be the third vertex of the triangle if it is to have the largest possible perimeter? (A) A (B) B (C) C (D) D (E) E R B C D S E A STOP If you finish before time is called, you may check your work on this section only. Do not turn to any other section of the test. . from Furious Earth, by Ellen J. Prager, McGraw-Hill, New York, 2000. Reproduced with permission of The McGraw-Hill Companies. 40 45 50 734 MCGRAW-HILL’S SAT 6 6 666 6 GO ON TO THE NEXT PAGE 12 hundreds of fore- shocks, making it an easier-than-average earthquake to predict. Groundwater changes and anomalous animal behavior were also re- ported (for example, hibernating snakes sup- posedly. 1992 by Jill Ker Conway, ed., pp. 475 477 Line 5 10 15 20 25 30 35 40 45 50 55 60 736 MCGRAW-HILL’S SAT 6 6 666 6 19. Which of the following best describes the rela- tionship between the narrator