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美国高考SAT数学模拟试题(附答案) SAT Math Practice Test Two SAT数学模拟试题二 更多SAT考试试题资料请访问, 天道留学SAT考试频道 网址:http://sat.tiandaoedu.com 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 ...

美国高考SAT数学模拟试题(附答案)
SAT Math Practice Test Two SAT数学模拟试 快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题 二 更多SAT考试试题资料请访问, 天道留学SAT考试频道 网址:http://sat.tiandaoedu.com 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 5 1 2 3 4 A EDCB A EDCB A EDCB A EDCB A EDCB 6 7 8 A EDCB A EDCB A EDCB Test IIA 233 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - CU T HE RE - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 234 5 1 2 3 4 A EDCB A EDCB A EDCB A EDCB A EDCB 6 7 8 9 10 13 14 11 12 A DCB A DCB A DCB A DCB A DCB A EDCB A EDCB A E E E E E E E E E DCB A DCB 15 A DCB 16 A DCB Test IIC 5 1 2 3 4 A EDCB A EDCB A EDCB A EDCB A EDCB 6 7 8 9 10 13 14 11 12 A EDCB A EDCB A EDCB A EDCB A EDCB A EDCB A EDCB A EDCB A EDCB 15 A EDCB 16 17 18 19 20 A EDCB A EDCB A EDCB A EDCB A EDCB Test IIB - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - CUT HERE - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 235 Practice Test II Practice TPractice Test Iest I IA: 25 Minutes, 1IA: 25 Minutes, 18 Questions (8 Multiple-8 Questions (8 Multiple-Choice andChoice and 1100 Grid-in)Grid-in) Practice TPractice Test Iest I II B: 25 Minutes, 20 Multiple-B: 25 Minutes, 20 Multiple-Choice QuestionsChoice Questions Practice TPractice Test Iest I IIC: 20 Minutes, 1C: 20 Minutes, 16 Multiple-6 Multiple-Choice QuestionsChoice Questions Practice Test IIA Time: 25 minutes 18 questions (8 multiple-choice and 10 grid-in) Directions: This section is composed of two types of questions. Use the 25 minutes allotted to answer both question types. For Questions 1–8, select the one correct answer of the five choices given and mark the corresponding circle on your answer sheet. Your scratch work should be done on any available space in the section. Notes 1. All numbers used are real numbers. 2. Calculators may be used. 3. Some problems may be accompanied by figures or diagrams. These figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that a figure is not drawn to scale. The figures and diagrams are meant to provide information useful in solving the problem or problems. Unless otherwise stated, all figures and diagrams lie in a plane. Data That Can Be Used for Reference rectangle A = lw Area triangle A = 1⁄2 bh circle A = πr 2 C = 2πr rectangular solid V = lwh Volume right circular cylinder V= πr 2h Pythagorean Relationship 30° − 60° − 90° Special Triangles 45° − 45° − 90° A circle is composed of 360° A straight angle measures 180° The sum of the angles of a triangle is 180° w l h b r M r h l h w a2 + b 2 = c 2 C B A c a b 30° 60° 2x x x√3 45° 45° x x x√2 236 Part III: Math Practice Tests 1. If 7x – 5 = 4x – 17, what is the value of x? A. –6 B. –4 C. 1 D. 4 E. 5 Note: Figure not drawn to scale. 2. In the figure above, if x = 50, what is the value of m + n? A. 50 B. 65 C. 75 D. 110 E. 130 3. In the xy-plane, the line with equation y = 3x – 12 crosses the x-axis at one point. What is the x-coordinate of this point? A. –12 B. –4 C. 0 D. 3 E. 4 4. The average (arithmetic mean) of 5x and 3y is equal to 4 less than the product of x and y. Which of the following equations states the relationship given in the previous sentence? A. x y xy2 5 3 4+ = - B. x y xy2 5 3 4 + = C. x y xy2 5 3 4- = - D. x y xy2 5 3 4+ = - E. x y xy2 5 3 4- = - 5. The number that results from 3n, where n is a positive integer, CANNOT end in which of the following digits? A. 1 B. 3 C. 5 D. 7 E. 9 6. A discount of 20%, followed by another discount of 25%, is equivalent to a single discount of what percent? A. 33% B. 40% C. 45% D. 55% E. 60% 7. The equation x2 3 7- = is true for which value(s) of x? A. 2 only B. 5 only C. 2 and 5 D. –2 and 5 E. 2 and –5 Note: Figure not drawn to scale. 8. The figure above shows the graph of y = k – x2, where k is some positive constant. If V is the midpoint of side BC of rectangle ABCD, and if the area of ABCD is 16, what is the value of k? A. 2 B. 2 2 C. 4 D. 4 2 E. 8 x y OA D V B C y = k − x 2 m° x° n° 237 Practice Test II P ractice Test II GO ON TO THE NEXT PAGE Directions for Student-Produced Response Questions (Grid-ins): Questions 9–18 require you to solve the problem and enter your answer by carefully marking the circles on the special grid. Examples of the appropriate way to mark the grid follow. Answer 3.7 Answer 1/2 Answer 2 1/2 Do not grid-in mixed numbers in the form of mixed numbers. Always change mixed numbers to improper fractions or decimals. 1 8 9 6 7 4 5 2 3 / .. / . . 1 8 9 7 4 5 2 3 0 1 8 9 6 7 4 5 2 0 1 8 9 6 7 4 5 2 3 0 6 3 0 or 1 8 9 6 7 4 5 2 3 / .. / . . 1 8 9 7 4 5 2 3 0 1 8 9 6 7 4 5 2 0 1 8 9 6 7 4 5 2 3 0 6 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 Fraction bar 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 Decimal point 238 Part III: Math Practice Tests Answer 123 Space permitting, answers may start in any column. Each grid-in answer below is correct. Note: Circles must be filled in correctly to receive credit. Mark only one circle in each column. No credit will be given if more than one circle in a column is marked. Example: Answer 258 (no credit) 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 239 Practice Test II P ractice Test II GO ON TO THE NEXT PAGE Answer 8/9 Accuracy of decimals: Always enter the most accurate decimal value that the grid will accommodate. For example: An answer such as .8888 . . . can be gridded as .888 or .889. Gridding this value as .8, .88, or .89 is considered inaccurate and therefore not acceptable. The acceptable grid-ins of 8/9 are: Be sure to write your answers in the boxes at the top of the circles before doing your gridding. Although writing out the answers above the columns is not required, it is very important to ensure accuracy. Even though some problems may have more than one correct answer, grid only one answer. Grid-in questions contain no negative answers. 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 / . / .. . 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 1 8 9 6 7 4 5 2 3 0 240 Part III: Math Practice Tests 9. Dividing a number by 5 2 and then multiplying the result by 3 4 gives the same result as just dividing the original number by what fraction? 10. If x y2 5 3 2 = , what is the value of y x ? 11. If m2 + n2 = 29 and if mn = 7, then the value of (m + n)2 = 12. If x 23 1 = - and if y 22 1 = , what is the value of xy? 13. What is the largest of 5 consecutive even integers whose sum is 170? 14. In the figure above, the circle with center C and radius 5 is tangent to both the x and y axes. AB is tangent to the circle at point B. What is the slope of AB? 15. �ABC in the xy-plane has vertices at A (5, 2), B (11, 2), and C (11, 6). What is the area of �ABC? 16. If m2 + 2mn = 3n – 4w, what is the value of n when m = 3 and w = –5? 17. The figure above consists of three circles having the same center. Their radii are 2, 3, and 4. The shaded area is what fraction of the area of the largest circle? 18. If 720 = ambncr, where a, b, and c are different positive prime integers, what is the value of m + n + r? x y (9,−8) A C B 241 Practice Test II P ractice Test II IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT WORK ON ANY OTHER SECTION IN THE TEST. STOP Practice Test IIB Time: 25 minutes 20 multiple-choice questions Directions: Select the one correct answer of the five choices given and mark the corresponding circle on your answer sheet. Your scratch work should be done on any available space in the section. Notes 1. All numbers used are real numbers. 2. Calculators may be used. 3. Some problems may be accompanied by figures or diagrams. These figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that a figure is not drawn to scale. The figures and diagrams are meant to provide information useful in solving the problem or problems. Unless otherwise stated, all figures and diagrams lie in a plane. Data That Can Be Used for Reference rectangle A = lw Area triangle A = 1⁄2 bh circle A = πr 2 C = 2πr rectangular solid V = lwh Volume right circular cylinder V= πr 2h Pythagorean Relationship 30° − 60° − 90° Special Triangles 45° − 45° − 90° A circle is composed of 360° A straight angle measures 180° The sum of the angles of a triangle is 180° w l h b r M r h l h w a2 + b 2 = c 2 C B A c a b 30° 60° 2x x x√3 45° 45° x x x√2 242 Part III: Math Practice Tests 2, 3, 5, 8, 13, . . . 1. The first term in the sequence above is 2 and the second term is 3. For each term after the second term, its value represents the sum of the two terms preceding it. What is the tenth term of this sequence? A. 34 B. 55 C. 89 D. 144 E. 233 2. In the xy-plane, the line l is perpendicular to the graph of the equation 3x + 4y = 12. Which of the following is the slope of line l? A. –4 B. –3 C. 4 3- D. 3 4 E. 12 3. If 5(x + 3) = 17, what is the value of x? A. 5 2 B. 2 5 C. 5 14 D. 5 22 E. 9 4. If 3(2x + 4)(5 – x) = 0, what are all the possible values of x? A. 0 only B. –2 and 5 only C. 2 and –5 only D. 0, –2, and 5 E. 0, 2, and –5 5. For which of the following functions does f f5 5!-^ ^h h? A. f x x=^ h B. f x 7=^ h C. f x x 53= +^ h D. f x x 32= -^ h E. f x x6 4= +^ h 6. When x = 2, what is the value of x x x1 1 1 1 1 + + + - ? A. 6 1 B. 1 5 2 C. 1 6 5 D. 5 E. 11 7. Mark is taller than Rebecca, and Charles is shorter than Rebecca but taller than Harriet. If m, r, c, and h represent the heights of Mark, Rebecca, Charles, and Harriet respectively, which of the following correctly represent the order of their heights? A. c < h < r < m B. r < c < h < m C. h < r < c < m D. c < h < r < m E. h < c < r < m 8. The radius of one circle is 3 1 the radius of a second circle. What is the ratio of the area of the smaller circle to the area of the larger circle? A. 1:9 B. 1:3 C. 3:1 D. 6:1 E. 9:1 9. If 2 ≤ x ≤ 6 and 6 ≤ xy ≤ 30, which of the following gives the range of all possible values of y? A. y3 1 8 1# # B. y3 1 5 1# # C. 4 ≤ y ≤ 24 D. 3 < y < 5 E. 3 ≤ y ≤ 5 10. The quantity m varies inversely as the square of the quantity r. If m = 9 when r = 4, what is the value of m when r = 6? A. 4 B. 6 C. 36 D. 64 E. 144 243 Practice Test II P ractice Test II GO ON TO THE NEXT PAGE 11. If x�y y x = , with y ≠ 0, and if 4�m = 16�2, what is the value of m? A. 2 1 B. 1 C. 2 D. 8 E. 16 12. What is the measure of the largest angle of a triangle, in which the degree measure of its angles have a ratio of 5:6:7? A. 10 B. 35 C. 50 D. 70 E. 75 Note: Figure not drawn to scale. 13. For the parabola above, (5, –3) is its vertex. Which of the following are the x-coordinates of two points on the graph of the parabola for which their y-coordinates are equal? A. 4 and 7 B. 2 and 9 C. 0 and 8 D. –1 and 11 E. 1 and 10 14. Mr. and Mrs. Franklin took their three children to a theatre to watch a movie. They select a row on the side having only five seats. If each of the parents must sit at either end of the row, in how many different ways can the Franklin family be seated in the five seats? A. 3 B. 6 C. 12 D. 24 E. 120 15. How many inches are there in a distance of Y yards, F feet, and I inches? A. 3Y + F + 12I B. 36Y + F + 12I C. 3Y + 12F + I D. 36Y + 12F + I E. 3Y + 12F + 12I 16. In the figure above, AB BC= and AC CD= . If the length of AB 2= and the length of BC 2= , what is the length of AD? A. 2 2 (approximately 2.82) B. 2 3 (approximately 3.46) C. 4 D. 3 2 (approximately 4.24) E. 2 5 (approximately 4.47) 17. The perimeter of an equilateral triangle is 18. What is the area of the triangle? A. 2 9 B. 2 9 2 C. 9 2 D. 9 3 E. 18 C Dx° B A x° x y (5, −3) O 244 Part III: Math Practice Tests Note: Figure not drawn to scale. 18. In the figure above, BC AD. What is the ratio of the area of �ABF to the area of �CED? A. :3 2 B. :2 1 C. 3:2 D. :3 1 E. 2:1 19. If m and r are constants and if (x + m)(x + r) = x2 + cx + w, where c and w are constants, what is w c in terms of m and r? A. r m B. m m r+ C. mr m r+ D. m r mr + E. It cannot be determined from the given information. 20. Let the function f be defined by f(x) = x2 – 2x. For which values of m will f(2m) = 15? A. –2 only B. 2 3- and 2 5 C. 3 and –5 D. –3 and 5 E. 3 only FA D B E C 30° 45° 245 Practice Test II P ractice Test II IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT WORK ON ANY OTHER SECTION IN THE TEST. STOP Practice Test IIC Time: 20 minutes 16 multiple-choice questions Directions: Select the one correct answer of the five choices given and mark the corresponding circle on your answer sheet. Your scratch work should be done on any available space in the section. Notes 1. All numbers used are real numbers. 2. Calculators may be used. 3. Some problems may be accompanied by figures or diagrams. These figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that a figure is not drawn to scale. The figures and diagrams are meant to provide information useful in solving the problem or problems. Unless otherwise stated, all figures and diagrams lie in a plane. Data That Can Be Used for Reference rectangle A = lw Area triangle A = 1⁄2 bh circle A = πr 2 C = 2πr rectangular solid V = lwh Volume right circular cylinder V= πr 2h Pythagorean Relationship 30° − 60° − 90° Special Triangles 45° − 45° − 90° A circle is composed of 360° A straight angle measures 180° The sum of the angles of a triangle is 180° w l h b r M r h l h w a2 + b 2 = c 2 C B A c a b 30° 60° 2x x x√3 45° 45° x x x√2 246 Part III: Math Practice Tests 1. Two positive integers are called “relatively prime” if their only common factor is 1. Which of the following pair of numbers is “relatively prime?” A. 6 and 9 B. 10 and 5 C. 8 and 15 D. 12 and 4 E. 9 and 12 2. If the volume of a cube is 8, what is its total surface area? A. 6 B. 8 C. 16 D. 18 E. 24 3. The graph above shows the number of votes received by each of four candidates in an election. What fraction of the votes did candidate Y receive? A. 6 1 B. 4 1 C. 3 1 D. 2 1 E. 5 2 4. If f x x x 7 3 2 = - -^ h , then the value of f(–2) = A. 5 12- B. 3 4- C. 7 6 D. 3 4 E. 5 12 5. At 5:00pm, what is the degree measure of the angle between the hour and minute hands on the traditional clock above? A. 75° B. 115° C. 120° D. 150° E. 165° 6. The denominator of a fraction is 3 more than its numerator. If the fraction is equal to 35 14 , what is the numerator of the fraction? A. 2 B. 3 C. 5 D. 6 E. 7 10 11 12 6 1 7 5 9 3 2 8 4 CAND. X 50 40 20 10 CAND. Y CAND. A CAND. B 247 Practice Test II P ractice Test II GO ON TO THE NEXT PAGE Note: Figure not drawn to scale. 7. In the figure above, what is the value of m? A. 15 B. 30 C. 45 D. 60 E. 75 8. If 0 < x < 1, which of the following statements must be true? I. >x x 1 II. x2 < x III. x3 – x2 > 0 A. I only B. II only C. III only D. I and II only E. II and III only 9. The average of two numbers is x. If one of the numbers is 3m – 5, then the other number, in terms of x and m, is A. x m2 3 5+ - B. 6m – 10 – x C. 6m – 5 – x D. x m6 10- E. 6m – 10 + x 10. In the xy-plane, the graphs of y = 2x + 7 and y = –3x + r intersect at the point (–2, m). What is the value of r? A. –3 B. –1 C. 2 D. 3 E. 4 3x° 45° m° x° 248 Part III: Math Practice Tests Note: Figure not drawn to scale. 11. The graph above is that of the equation y = f(x). Which of the following could be the graph of y f x= ^ h ? x y 64 (B) x y 64 (D) x y 64 (C) x y 64 (A) −1 −1−3 −1−3 −1−3 −1−3 −3 x y 64 (E) x y y = f (x) 64−1−3 249 Practice Test II P ractice Test II GO ON TO THE NEXT PAGE 12. The radius of a right circular cylinder is doubled, and its height is tripled. What is the ratio of the volume of the original cylinder to the volume of the new larger cylinder? A. 12 1 B. 6 1 C. 3 1 D. 2 1 E. 6 13. In the figure above, a circle is inscribed within a square having a perimeter of 32. What is the area of the shaded region? A. 64 – 16π B. 32 – 8π C. 16 – 4π D. 8 – 2π E. 4 – π 14. In the xy-plane, how many different integer pairs (x, y) are in the solution set of x y 2#+ ? A. 4 B. 5 C. 8 D. 12 E. 13 15. The sum of three consecutive even integers is 72. If x represents the smallest, y the middle, and z the greatest of these even integers, which of the following equations could be used to represent the first sentence of this problem? I. 3x + 6 = 72 II. 3y = 72 III. 3z – 6 = 72 A. I only B. II only C. I and II only D. I and III only E. I, II, and III 16. If x 2 4+ is an integer, and if y 2 3- is an integer, then xy must be A. an even integer B. a negative integer C. an odd integer D. a multiple of 12 E. a positive integer 250 Part III: Math Practice Tests IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS SECTION ONLY. DO NOT WORK ON ANY OTHER SECTION IN THE TEST. STOP Scoring Practice Test II Answer Key for Practice Test II Practice Test IIA 251 Practice Test II P ractice Test II 1. B 2. E 3. E 4. D 5. C 6. B 7. D 8. C 9. 10 3 10. 14 15 or 1.07 11. 43 12.
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