770 MCGRAW-HILL’S SAT 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 2 Use the answer spaces in the grids below for Section 2 or Section 3 only if you are told to do so in your test book. ONLY ANSWERS ENTERED IN THE CIRCLES IN EACH GRID WILL BE SCORED. YOU WILL NOT RECEIVE CREDIT FOR ANYTHING WRITTEN IN THE BOXES ABOVE THE CIRCLES. 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 3 CAUTION Student-Produced Responses / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 / / / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 910111213 14 15 16 17 18 Start with number 1 for each new section. If a section has fewer questions than answer spaces, leave the extra answer spaces blank. Be sure to erase any errors or stray marks completely. CHAPTER 16 / PRACTICE TEST 4 771 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 4 Start with number 1 for each new section. If a section has fewer questions than answer spaces, leave the extra answer spaces blank. Be sure to erase any errors or stray marks completely. Use the answer spaces in the grids below for Section 4 or Section 5 only if you are told to do so in your test book. ONLY ANSWERS ENTERED IN THE CIRCLES IN EACH GRID WILL BE SCORED. YOU WILL NOT RECEIVE CREDIT FOR ANYTHING WRITTEN IN THE BOXES ABOVE THE CIRCLES. 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 5 CAUTION Student-Produced Responses / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 / / / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 910111213 14 15 16 17 18 772 MCGRAW-HILL’S SAT 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 6 Start with number 1 for each new section. If a section has fewer questions than answer spaces, leave the extra answer spaces blank. Be sure to erase any errors or stray marks completely. Use the answer spaces in the grids below for Section 6 or Section 7 only if you are told to do so in your test book. ONLY ANSWERS ENTERED IN THE CIRCLES IN EACH GRID WILL BE SCORED. YOU WILL NOT RECEIVE CREDIT FOR ANYTHING WRITTEN IN THE BOXES ABOVE THE CIRCLES. 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 7 CAUTION Student-Produced Responses / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 / / / . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 // . . . . 000 1 111 2 222 3 333 4 444 5 555 6 666 7 777 8 888 9 999 910111213 14 15 16 17 18 PLEASE DO NOT WRITE IN THIS AREA CHAPTER 16 / PRACTICE TEST 4 773 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 8 Start with number 1 for each new section. If a section has fewer questions than answer spaces, leave the extra answer spaces blank. Be sure to erase any errors or stray marks completely. 1 A B C D E 2 A B C D E 3 A B C D E 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E 8 A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E 16 A B C D E 17 A B C D E 18 A B C D E 19 A B C D E 20 A B C D E 21 A B C D E 22 A B C D E 23 A B C D E 24 A B C D E 25 A B C D E 26 A B C D E 27 A B C D E 28 A B C D E 29 A B C D E 30 A B C D E 31 A B C D E 32 A B C D E 33 A B C D E 34 A B C D E 35 A B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 9 774 MCGRAW-HILL’S SAT 1 ESSAY ESSAY 1 ESSAY Time—25 minutes Write your essay on separate sheets of standard lined paper. 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 handwrit- ing will read what you write. Try to write or print so that what you are writing is legible to those readers. Important reminders: • A pencil is required for the essay. An essay written in ink will receive a score of zero. • Do not write your essay in your test book. You will receive credit only for what you write on your answer sheet. • An off-topic essay will receive a score of zero. You have twenty-five minutes to write an essay on the topic assigned below. Consider carefully the issue discussed in the following passage, then write an essay that answers the ques- tion posed in the assignment. We like to believe that physical phenomena, animals, people, and societies obey predictable rules, but such rules, even when carefully ascertained, have their limits. Every rule has its exceptions. Assignment: What is one particularly interesting “exception” to a rule? Write an essay in which you answer this question and discuss your point of view on this issue. Support your position logically with examples from literature, the arts, history, politics, science and technology, current events, or your experience or observation. 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. CHAPTER 16 / PRACTICE TEST 4 775 2. If 3a = 15 and 4b = 10, what is the value of ? (A) (B) (C) (D) 2 (E) 5 2 3 2 2 3 1 2 a b 2 2 222 2 GO ON TO THE NEXT PAGE SECTION 2 Time—25 minutes 20 questions Turn to Section 2 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. NotesReference 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° 1. A playground with an area of 3,600 square feet is to be divided into six different play stations. What is the average (arithmetic mean) area, in square feet, of the six stations? (A) 400 (B) 500 (C) 600 (D) 700 (E) 800 776 MCGRAW-HILL’S SAT 3. The graph above shows the salaries of five em- ployees at UltraCorp over an eight-year period. Which employee’s salary has risen at the fastest rate over this period? (A) Employee 1 (B) Employee 2 (C) Employee 3 (D) Employee 4 (E) Employee 5 4. One bucket of fried chicken serves either three adults or five children. If the Memorial Day fair committee wants to have enough chicken to serve 100 children and 60 adults, how many buckets of chicken are needed? (A) 29 (B) 32 (C) 35 (D) 40 (E) 45 5. (5x − 3x + 4)(3x + 6x − 2) = (A) 9x 2 + 16x − 4 (B) 18x 2 + 32x − 8 (C) 18x 2 − 40x + 8 (D) 72x 2 + 20x − 8 (E) 72x 2 − 20x + 8 1992 1994 Year Salary (in thousands of dollars) 40 35 30 25 20 SALARIES AT ULTRACORP Employee 1 Employee 2 Employee 3 Employee 4 Employee 5 1996 20001998 2 2 222 2 GO ON TO THE NEXT PAGE Note: Figure not drawn to scale. 6. In the figure above, l ΗΗ m and z = 55. What is the value of a + b + c? (A) 235 (B) 265 (C) 275 (D) 305 (E) 315 7. If , what is the value of x? (A) 3 (B) 6 (C) 9 (D) 27 (E) 81 8. Each term in a sequence of numbers, except for the first term, is 2 less than the square root of the previous term. If the third term of this sequence is 1, what is the first term? (A) 1 (B) 9 (C) 11 (D) 121 (E) 123 71679x += m l w° x° y° z° a° b° c° d° 9. In the figure above, rectangle ABCD has an area of 90 and is divided into 15 smaller squares. What is the sum of the areas of the shaded regions? (A) 39 (B) 42 (C) 45 (D) 48 (E) 51 10. For all x greater than 2, let ★ x be defined as the sum of the positive integers less than x. What is the value of ★ 16 − ★ 13 ? (A) 27 (B) 29 (C) 42 (D) 45 (E) 54 X3Y + 5YX 1,33X 11. In the correctly worked addition problem above, X and Y represent two different digits. What digit does X represent? (A) 0 (B) 1 (C) 4 (D) 8 (E) 9 A D B C CHAPTER 16 / PRACTICE TEST 4 777 2 2 222 2 GO ON TO THE NEXT PAGE x, y, 3y 12. If the average (arithmetic mean) of the three numbers above is 3x and x ≠ 0, what is y in terms of x? (A) (B) 2x (C) 3x (D) x + 7 (E) 3x − 3 Note: Figure not drawn to scale. 13. In the figure above, what is the value of x in terms of w? (A) w − 2 (B) w − 1 (C) w (D) w + 1 (E) w + 2 14. When r is divided by 10, the remainder is 9. What is the remainder when r + 2 is divided by 5? (A) 0 (B) 1 (C) 3 (D) 4 (E) 14 x 2 y° z° x° w° (y+1)° (z-1)° 778 MCGRAW-HILL’S SAT 2 2 222 2 GO ON TO THE NEXT PAGE 15. If five distinct lines lie in a plane, then at most how many distinct points can lie on two or more of these lines? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10 16. A pile of playing cards consists of only kings, jacks, and queens. If the probability of ran- domly choosing a king is and the proba- bility of randomly choosing a queen is , what is the probability of randomly choosing a jack? (A) (B) (C) (D) (E) 9 14 4 7 15 28 13 28 3 7 2 7 1 4 Note: Figure not drawn to scale. 17. In the figure above, ΔVXT is equilateral and WU = WY. If the measure of ∠VWU is twice the measure of ∠VUW, what is the measure of ∠TUY? (A) 55° (B) 60° (C) 65° (D) 70° (E) 75° 18. If m and n are positive numbers, what percent of m − 4 is n + 2? (A) (B) (C) (D) (E) n m + − 2 4 % m n − 4 100 % 100 2 4 n m + − () % m n − + () 4 2 100 % 100 2 4 n m + () − () % V U T Y X W 50° h(t) =−5t 2 + 120t + m 19. At time t = 0, a rocket was launched from a platform m meters above the ground. Until the rocket hit the ground, its height, in meters, after t seconds was given by the function h above. For which of the following values of t did the rocket have the same height as it did when t = 10? (A) 8 (B) 12 (C) 14 (D) 16 (E) 18 CHAPTER 16 / PRACTICE TEST 4 779 2 2 222 2 20. The price of a certain stock was d dollars on January 1, 2003. The price decreased by 20% in January, increased by 40% in February, de- creased by 25% in March, and increased by 25% in April. In terms of d, what was the price of the stock at the end of April? (A) 0.80d (B) 0.84d (C) 1.05d (D) 1.12d (E) 1.20d 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. . stations? (A) 400 (B) 500 (C) 600 (D) 700 (E) 800 776 MCGRAW-HILL’S SAT 3. The graph above shows the salaries of five em- ployees at UltraCorp over an eight-year period. Which employee’s salary has risen. when r + 2 is divided by 5? (A) 0 (B) 1 (C) 3 (D) 4 (E) 14 x 2 y° z° x° w° (y+1)° (z-1)° 778 MCGRAW-HILL’S SAT 2 2 222 2 GO ON TO THE NEXT PAGE 15. If five distinct lines lie in a plane, then. B C D E 36 A B C D E 37 A B C D E 38 A B C D E 39 A B C D E 40 A B C D E SECTION 9 774 MCGRAW-HILL’S SAT 1 ESSAY ESSAY 1 ESSAY Time—25 minutes Write your essay on separate sheets of standard