[PDF] SAT Mathematics Level 2 Practice Test 10.pdf | Plain Text

실전 17 1 1. If 5(x -1) = 8, then (x -1)2 = (A) 25 64 (B) 8 5 (C) 64 25 (D) 13 5 (E) 89 25 2. Two stamping presses at the Apcon Company operate continually. One press stamps 20 units per hour and the other press stamps 25 units per hour. If the two presses are operating at the same time, how many hours will it take to stamp 1,200 units, to the nearest hour? (A) 27 (B) 40 (C) 45 (D) 48 (E) 60 3. Let f be the function given by f(x) = ������+3 3������−4. The graph of f has a vertical asymptote at x = (A) –3 (B) –4 3 (C) 1 3 (D) 4 3 (E) 3 4. If sinA = 0.3860 and cosA = 0.9225, what is the value of tanA (A) 0.3963 (B) 0.4184 (C) 0.5365 (D) 0.6038 (E) 2.3899

실전 17 2 Mass (m) Stretch (s) 10 0 grams 3 cm 200 grams 6 cm 300 grams 9 cm 400 grams 12 cm 5. The table above shows the vertical stretch s of a spring when a weight of mass m is attached to it. Which of the following describes the relationship between s and m ? (A) s = 3m (B) s = � 100 (C) s = 100 3� (D) s = 100 � 3 (E) s = 3� 100 6. If f (x) = x3 – 1, for what value of x does f (x) = 9.8 ? (A) 1.14 (B) 2.14 (C) 2.21 (D) 3.13 (E) 3.29 7. A box contains eleven tickets numbered from 20 to 30, inclusive. If a ticket is drawn randomly from the box, what is the probability that the ticket is even -numbered? (A) 1 11 (B) 5 11 (C) 1 2 (D) 6 11 (E) 6 10

실전 17 3 8. Let n and p represent nonzero constants. In the xy -plane, the graphs of the equations, y = nx + 7 and y = px + 10 are parallel lines. Which of the following is true? (A) n = –1 ������ (B) n = 1 ������ (C) n < p (D) n = p (E) n > p 9. Three consecutive integers, x, y, and z, have a sum of 3. If a = 2 x2y2z, what is the value of a ? (A) 0 (B) 6 (C) 8 (D) 16 (E) 512 10. The 3 rd term of an arithmetic sequence is 15 and the 5 th term is 23. What is the 1 st term of the sequence? (A) 3 (B) 4 (C) 5 (D) 7 (E) 11 11. For which of the following functions f does f (0) = – 3 and f (3) = 0? I. f (x) = x2 – 2x – 3 II. f (x) = x – 3 III. f (x) = | x – 3| (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III

실전 17 4 12. In ORS above, which of the following is an equation of the line containing �������̅̅̅̅ (A) y = – x (B) y = 1 2 x (C) y = 1 2 x + 3 (D) y = x + 6 (E ) y = 2 x 13. The function f given by f (x) = – x2 + 4 x – 5 attains its maximum value when x = (A) –2 (B) –1 (C) 0 (D) 1 (E) 2 14. Which of the following is a root of 2(3 x + b)(x – 1) = 0, where b is a nonzero constant? (A) –� 2 (B) –� 3 (C) –� 6 (D) � 6 (E) � 2

실전 17 5 15. The function f such that f (x) = (2������–3)(������+1) (2������+3)(2������–3) is not defined at x = 1.5. As x approaches 1.5, what value does f (x) approach? (A) 0 (B) 0.27 (C) 0.42 (D) 0.56 (E) f (x) does not approach a single number. 16. If 0º ≤ A ≤ 45º, what is the least possible value of 3 + cosA ? (A) 2.00 (B) 2.29 (C) 3.00 (D) 3.71 (E) 4.00 17. If log x216 = 3, then x = (A) 0.8 (B) 4.9 (C) 6.0 (D) 10.0 (E) 14.7 18. A right triangle has legs of length 5 and 12. To the nearest degree, what is the measure of the angle opposite the shortest side of the triangle? (A) 23º (B) 25º (C) 43º (D) 65 º (E) 67 º

실전 17 6 Age (years) Frequency 0-9 64 10 -19 52 20 -29 31 30 -39 43 40 -49 10 19. At a particular event, the age of the 200 attendees were categorized as indicated in the table above, Based on this table, which of the following could be the median age, in years, of the attendees? (A) 5 (B) 15 (C) 25 (D) 35 (E) 45 20. Which of the following is an equation of a line that has the same x-intercept as the line wi th equation y = 2x – 3? (A) y = 2x + 3 (B) y = 3 x – 2 (C) y = 3 x + 2 (D) y = 4 x – 3 (E) y = 4 x – 6 21. If a = √3+ √5, then (a 2 – 2)2 = (A) 1.53 (B) 3.23 (C) 5.23 (D) 10.47 (E) 25.41

실전 17 7 22. Which of the following values of n is a counter -example to the claim “For positive integers n, all numbers of the form 6 n ± 1 are prime” ? (A) 2 (B) 3 (C) 7 (D) 11 (E) 12 23. In ∆ABC, the mearsure of ∠ B is 37° , and the measure of ∠ C is 53° . If the length of sid AB is 4, what is the length of side AC ? (A) 2.27 (B) 2.41 (C) 2.79 (D) 3.01 (E) 5.31 24. Which of the following ordered pairs is a solution to both y = –2x = 1 and y > 0.5 x – 1.5 ? (A) (–1, –2) (B) (–1, 3) (C) (1, –1) (D) (2, –3) (E) (2, 0)

실전 17 8 25. The figure above shows the graph of a function g over the domain –3 ≤ � ≤ 3. If the fuction h is defined so that ℎ(�)= 2�(�), which of the following represents the graph of h ? (A) (B) (C) (D) (E)

실전 17 9 26. In the xy –plane, which of the following is an equation of the parabola whose graph passes through the points (4,0), (1,21), and (0, 24) ? (A) � = (�–4)(�–24 ) (B) � = (�–4)(�+ 6) (C) � = (�+ 4)(�–24 ) (D) � = –(�–4)(�+ 6) (E) � = –(�+ 4)(�+ 24 ) 27. If x is a positive integer , and if there are exactly x + 2 integers greater that x and les that x2, then x = ? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 28. In the figure above, y equals which of the following ? (A) �+ 1 (B) ��������� (C) 1+ ��������� (D) ��������� (E) 1+ �2

실전 17 10 29. For the first t hours of a 240 -mile trip, a train traveled at an average speed of 80 miles per hour. The train then traveled at an average speed of 60 miles per hour for the remainder of the trip. Which of the following represents the number of hours that the train traveled at an a verage speed of 60 miles per hour? (A) 12–4������ 3 (B) 12������–4 3 (C) 4������–12 3 (D) 4–12������ 3 (E) 4 30. For all positive integers n, 1+ 4+ 7+ 10 + ⋯ + (3�–2)= (A) 2�2–3�+ 3 (B) 2�2+ 3�–3 (C) � 2(3�–1) (D) 3� 2(3�–1) (E) 3� 2(3�+ 1) 31. If �(�)= √� and �(�)= ��������� , which if the following is NOT in the domain if �(�(�))? (A) 0 (B) ������ 2 (C) ������ (D) 3������ 2 (E) 2������ 32. Which of the following intervals contains solutions to the inequality (�+ 2)(�+ 1)(�–3)(�–4)< 0 ? (A) –3< �

실전 17 11 33. A student had an average (arithmetic mean) score of 78.8 for 10 t ests. The student took an 11 th test and had a score of 95. If the teacher ten dropped the lowest of the 11 scores, which of the following must be greater for the new set of 10 scores than for the original 10 scores? I. The mean II. The median III. The standard deviati on (A) I only (B) II only (C) III only (D) I and III (E) II and III 34. The figure above shows a portion of the graph of � = ln (�2). What is the sum of the area of the three rectangles shown? (A) 23.8 (B) 21.0 (C) 15.5 (D) 10.5 (E) 9.5

실전 17 12 35. The current value of a house is $25 0,000. If the value increases at a rate of 4 percent per year, how many years, to the nearest year, will it take for the house to be worth $2,000,000 ? (A) 8 (B) 16 (C) 21 (D) 49 (E) 53 36. If �(�)= ��3+ ��2, where � ≠ 0 and � ≠ 0, which of the following statem ents about the function must be true? I. The function has two distinct zeros II. For � > 0,�(�)> 0. III. The range of f is all real numbers. (A) I only (B) II only (C) III only (D) I and II (E) I and III 37. In the figure above, point A and B lie on the circle with center O. Wh at is the degree measure of ∠ AOB ? (A) 66.4° (B) 64.1° (C) 42.5° (D) 25.9° (E) 23.6°

실전 17 13 38. If �(�)= �3–2, then �–1(�)= (A) √�–2 3 (B) √�+ 2 3 (C) √�3 + 2 (D) 2–√�3 (E) 2–�3 39. A sequence a1,a2,a3,… of positive integers is given by a1 = 2, an+1 = 2������� for all positiv e integers n, The 4 th term in this sequence is (A) 23 (B) 24 (C) 25 (D) 28 (E) 216 40. The population of Summertown varies according to the model �(�)= –1,200 cos ������ 6�+ 1,500 . The population of Cool Ridge varies according to the model ������(�)= 1,200 (1.025 )������. In both models, t represents the number of months since January 1, 2004. Based on these models, how many times after January 1, 2004, will �(�)= ������(�)? (A) One (B) Two (C) Three (D) Four (E) Six 41. In the xyz -coordinate system, what is an equat ion of the set of all points equidistant from points P(0, 0, 5) and Q(0, 0, –5) ? (A) � = 0 (B) � = 0 (C) �= 0 (D) �+ � = –5 (E) � = 0 and � = 0

실전 17 14 42. If log nP = 5 and log ��= 3, then log ���2? (A) 10 (B) 11 (C) 14 (D) 30 (E) 45 43. A right circular cone has a height of 18 and a base radius of 12. A slice parallel to the base in made completely through the cone, and the resulting smaller cone has a volume that is 1 2 the volume of the original cone. What is the height of the smaller cone? (A) 8.32 (B) 9.00 (C) 13.50 (D) 14.29 (E) 16.35 44. A function f is said to be an odd function if for all values of x in the domain, �(–�)= –�(�). Which of the following defines an odd function? (A) �(�)= ���� (B) �(�)= 3������ (C) �(�)= ���� (D) �(�)= ��������� (E) �(�)= 3�2+ 1 45. In the xy -plane, which of the following is the center of the conic secti on whose equation is 4�2–9�2+ 16 �+ 90 �–245 = 0? (A) (–2, 5) (B) (2, –5) (C) (2, 5) (D) (5, –2) (E) (5, 2)

실전 17 15 46. If sinθ = 0.5 and cosα = 0.5 for 0° ≤ ������ ≤ 360° and 0° ≤ ������ ≤ 360° , which of the following is not a possible value for θ + α ? (A) 90° (B) 150° (C) 210° (D) 330° (E) 450° 47. What is the radius, in inches, of a sphere whose volume is equal to the sum of the volumes of three spheres with radii of 3, 4, and 5 inches ? (A) 4 (B) 6 (C) 7 (D) 8 (E) 12 48. Let f and g be polyn omial fu nctions where �(�)≠ �(�) for at least one value of x, and let ℎ(�)= �(�) •�(�). If f and g each have exactly two distinct real zeros, how many distinct real zeros could the function h have (A) Two only (B) Four only (C) Two or four only (D) Three or four only (E) Two, three, or four 49. The scores on a standardized exam have a normal distribution. If the mean is 74 and the standard deviation is 2, then a score of 84 would fall (A) below the 68 th percentile (B) between the 68 th and 80 th percentiles (C) between the 80 th and 95 th percentiles (D) between the 95 th and 99 th percentiles (E) above the 99 th percentile 0

실전 17 16 50. Let f be aperiodic function with period 3. If �(�–1)= –1,�(�)= 0, and �(�+ 1)= 1, what is the value of �(�+ 2)? (A) 3 (B) 2 (C) 1 (D) 0 (E) –1

실전 17 17 1. C 36. E 2. A 37. E 3. D 38. B 4. B 39. E 5. E 40. E 6. C 41. C 7. D 8. D 42. B 43. D 9. C 44. C 10. D 45. A 11. D 46. B 12. B 47. B 13. E 48. E 14. A 49. E 15. C 50. E 16. D 17. C 18. A 19. B 20. E 21. D 22. D 23. D 24. B 25. A 26. D 27. C 28. D 29. A 30. C 31. D 32. B 33. A 34. B 35. E