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1、 1. If f(x)= e2x and g(x) = x-2, then f(g(4)= (A)0.07 (B)2,981 (C)1.13 (D)1.27 (E)7.89 2. A number k is increased by 10. If the fifth root of that result equals -2, k = (A)-42 (B)-22 (C)1.1 (D)22 (E)32 3. If (x, y) is a point on the graph of a function, then which of the following must be a point on
2、 the graph of the inverse of the function? (A)(y,x) (B)(-x,-y) (C) (-y, -x) (D) (x, -y) (E) (-x, y) 4.The boys basketball team scored an average of 54 points per game in their first 5 games of the season. The girls basketball team scored an average of 59 points per game in their first 6 games. What
3、was the average of points scored in all 11 games? （A）56.5 （B）56.7 （C）56.0 （D）57.1 （E）62.4 5. What is the radius of a sphere, with center at the origin, that passes through (2,3,4)? (A)3 (B)3.31 (C)3.32 (D)5.38 (E)5.39 6 If 270 360 and cos = 0.43, then csc = （A）-1.11 （B） -0.90 （C） 0.90 (D) 1.11 (E) 2
4、 .33 7. If 6n3 = 48n2, then which of the following is the solution set for n? (A) 0 (B)8 (C)-8,0,8 (D)0,8 (E)-8,8 8.The product of the roots of a quadratic equation is -5 and their sum is -4. Which of the following could be the quadratic equation? (A)x2-4x + 5 = 0 (B)x2 - 4x-5 = 0 (C)x2 + 4x-5 = 0 (
5、D)x2 + 5x - 4 = 0 (E)x2 - 5x - 4 = 0 9. How many integers are there in the solution set of | x - 2 | 5? (A)0 (B)7 (C)9 (D)ll (E)an infinite number 10. If a, b, and c are real numbers and if then a could equal (A) 0 (B) 2 (C) 9 (D) 3 (E) 9b6 11. The third term of an arithmetic sequence is15, and the
6、seventh term is 23. What is the first term? (A)1 (B) 6 (C) 9 (D) 11 (E) 13 12. If the domain of f(x) = -|x| + 2 is x:-lx 3, f(x) has a minimum value w equals (A)-1 (B)0 (C)1 (D)3 (E) There is no minimum value. 13. A cylindrical bar of metal has a base radius of 2 and a height of 9. It is melted dow
7、reformed into a cube. A side of the cube is (A)2.32 (B)3.84 (C)4.84 (D)97.21 (E)113.10 14. Two cards are drawn from a regular deck of 52 cards. What is the probability that will be 7s? (A) 0.149 (B)0.04 (C)0.012 (D)0.009 (E)0.005 15. A pair of dice is tossed 10 times. What is the probability that no
8、 7s or 11s appear sum of the sides facing up? (A)0.08 (B)0.09 (C)0.11 (D)0.16 (E)0.24 16. Which of the following is a zero of f(x) = x2 + 6x-12 ? (A)-15.16 (B)-7.58 (C)0.67 (D)3.16 (E)7.58 17. If the greatest possible distance between two points within a certain rectangular solid is 12, then which o
9、f the following could be the dimensions of this solid? (A)3 3 9 (B)3 6 7 (C)3 8 12 (D)4 7 9 (E)4 8 8 18. Runner A travels a feet every minute. Runner B travels b feet every second. In one hour, runner A travels how much farther than runner B, in feet? (A)a - 60b (B)a2-60b2 (C)360a-b (D)60(a - b) (E)
10、60(a-60b) 19.A right triangle has sides in the ratio of 5:12:13. What is the measure of the smallest angle in the triangle, in degrees? (A)13.34 (B)22.62 (C)34.14 (D)42.71 (E)67.38 20. If the 20th term of an arithmetic sequence is 20and the 50th term is 100, what is the first term of the sequence? (
11、A)-33.33 (B)-30.67 (C)1.00 (D)2.00 (E)2.67 21. The polar equation r sin = 1 defines the graph of (A) a line (B)a circle (C)an ellipse (D)a parabola (E)a hyperbola 22. Which of the following is equal to the positive value of sec (cos-1 (0.3527) ? (A)0.01 (B)0.94 (C)1.69 (D)2.84 (E)69.35 23.What is th
12、e length of the major axis of the ellipse given by the equation (A)3.2 (B)4.5 (C)8.9 (D)10.0 (E)20.0 24. If A is the angle formed by the line 2y = 3x +7 and the x -axis, then A equals -45 (A)0 (B)56 (C)72 (D)215 25. A U.S. dollar equals 0.716 European euros, and a Japanese yen equals 0.00776 Euro eu
13、ros. How many U.S. dollars equal a Japanese yen? (A)0.0056 (B)0.011 (C)0.71 (D)94.2 (E)179.98 26. The statistics below provide a summary of IQ scores of 100 children. Mean: 100 Median: 102 Standard Deviation： 10 First Quartile： 84 Third Quartile: 110 About 50 of the children in this sample have IQ s
14、cores that are (A) less than 84 (B) less than 110 (C) between 84 and 110 (D) between 64 and 130 (E) more than 100 27. The solution set of 7x-2y4 (E)All real numbers. 29. If x + 3 is a factor of x5 + 2x4 - kx3 + 3x2, then k = (A)-3 (B)-2 (C)-1 (D)2 (E)3 30. The cube in Figure 4 has edges of length 4
15、cm. If point B is the midpoint of the edge, what is the perimeter of ABC? (A)8.94 (B)11.31 (C)12.94 (D)14.60 (E)15.87 31. A point has rectangular coordinates (6, 8). If the polar coordinates are (10, ), then = (A)21.8 (B)36.9 (C)53.1 (D)60 (E)76 32. If vector v = (-3,7) and vector w = (2, -1), then
16、vector w - v = (A) (-5,6) (B) (-1,6) (C) (-5,5) (D) (-6,-7) (E) (5,-8) 33. If the 2nd term of an arithmetic sequence is 7, and the 6th term is 23, then what is the 90th term of the sequence? (A) 270 (B) 356 (C) 359 (D) 360 (E) 363 34. If ba = 10b2 and a and b are nonzero real numbers, then which of the following could equal a? (A) 10 (B) 0.1 (C) 10 (D) 4 10 (E) -10 35. The only prime factors of a number n arc 2, 5
