sat數(shù)學(xué)考試精彩試題

1、標(biāo)準(zhǔn)文案SAT數(shù)學(xué)真題精選1. If 2 x + 3 = 9, what is the value of 4 x- 3 ?(A) 5(B) 9(C) 15(D) 18(E) 212. If 4(t + u) + 3 = 19, then t + u = ?(A) 3(B) 4(C) 5(D) 6(E) 73. In the xy-coordinate(坐標(biāo))plane above, the line contains the points (0,0) and (1,2).If line M (not shown) contains the point (0,0) and is perpendi

2、cular(垂直)to L, what is an equation of M?(A) y = -1/2 x(B) y = -1/2 x + 1(C) y = - x(D) y = - x + 2(E) y = -2x4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?(A) K + 5(B) K + 15(C) K + 20(D) K + 30(E)K + 455. There are 8 sections of seats in an auditoriu

3、m. Each section contains at least 150seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?(A) 800(B) 1,000(C) 1,100(D)1,300(E) 1,700(D) r = 0(E) m = 0連續(xù)整數(shù))is - 126. if the sum(D) 253(E) 2546. If rsuv = 1 and rsum = 0, which of the following must b

4、e true?(A) r < 1(B) s < 1(C) u= 27. The least integer of a set of consecutive integers (of these integers is 127, how many integers are in this set?(A)126(B)127(C)2528. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 200 sen

5、iors, 300 juniors, and 400 sophomores who applied.s name, 2 time; andEach senior s name is placed in the lottery 3 times; each junioreach sophomore ' s name, 1 times. If a studentin the lottery, what is the probability that a senior(A) 1/8(B)2/9(C)'s name is chosen at random from the names&#

6、39;s name will be chosen?2/7(D)3/8(E)1/2Question #1: 50%of UScollege students live on campus. Out of all students living on campus, 40% are graduate students. What percentage of US students are graduate students living on campus?(A) 90%(B) 5%(C) 40%(D) 20%(E) 25%Question #2: In the figure below, MNi

7、s parallel with BCand AM/AB = 2/3. What is the ratio between the area of triangle AMN and the area of triangle ABC?(A) 5/9(B) 2/3(C) 4/9(D) 1/2(E) 2/9Question #3: If a 2 + 3 is divisible by 7, which of the following values can be a?(A)7(B)8(C)9(D)11(E)4Question #4: What is the value of b, if x = 2 i

8、s a solution of equation x2 - b x + 1=0?(A)1/2(B)-1/2(C)5/2(D)-5/2(E)2Question #5: Which value of x satisfies the inequality | 2x | < x + 1 ?(A)-1/2(B)1/2(C)1(D)-1(E)2Question #6: If integers m > 2 and n > 2, how many (m, n) pairs satisfy the inequality n_m < 100?(A)2(B)3(C)4(D)5(E)7Ques

9、tion #7: The US deer population increase is 50% every 20 years. How may times largerwill the deer population be in 60 years ?(A)2.275(B)3.250(C)2.250(D)3.375(E)2.500Question #8: Find the value of x if x + y = 13 and x - y = 5.(A)2(B)3(C)6(D)9(E)4Question #9:USUKMedals32gold14silver41bronzeThe number

10、 of medals won at a track and field championship is shown in the table above.What is the percentage of bronze medals won by UK out of all medals won by the 2 teams?(A)20%(B)6.66%(C)26.6%(D)33.3%(E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, in square inches

11、, of this cube?(A)66(B)60(C)76(D)96(E)65Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equal to1 and the product of the solutions is equal to -20. What are the solutions of the equation f(x) = 16 - x ?(a) x1 = 3 and x2 = -3(b) x1 = 6 and x2 = -6(c) x1 = 5 and x2 = -4

12、(d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations:l 1： y = ax + 1l 2: y = bx + 2l 3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to bothlines l 1 and l 2?(a) a = -2, b = -2, c = .5(b) a

13、 = -2, b = -2, c = 2(c) a = -2, b = -2, c = -2(d) a = -2, b = 2, c = .5(e) a = 2, b = -2, c = 2Question #3: The management team of a company has 250 men and 125 women. If 200 of themanagers have a master degree, and 100 of the managers with the master degree are women,how many of the managers are me

14、n without a master degree?(a) 125(b) 150(c) 175(d) 200(e) 225Question #4: In the figure below, the area of square ABCDis equal to the sum of the areasof triangles ABE and DCE. If AB = 6, then CE =大全(a) 5(b) 6(c) 2(d) 3(e) 4If a and 3 are the angles of the right triangle shown in the figure above, th

15、en sin a + sin 2 3 is equal to:(a) cos( 3 )(b) sin(3 )(c) 1(d) cos2( 3 )(e) -1Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b are integers. The product of the same two integers is equal to (b - 1)2. What is the value ofa?(a) a = 9(b) a = 1(c) a = 0(d) a = 5(e) a

16、= 11Question #1: If f(x) = x and g(x)=Vx, x > 0, what are the solutions of f(x) = g(x)?(A) x = 1(B)x1 = 1, x 2 = -1(C)x i = 1, x 2 = 0 (D)x = 0(E)x = -1Question #2: What is the length of the arc AB in the figure below, if O is the center ofthe circle and triangle OAB is equilateral? The radius of

17、 the circle is 9兀/2(a)兀 (b) 2兀 (c) 3兀 (d) 4兀 (e)Question #3: What is the probability that someone that throws 2 dice gets a 5 and a 6?Each dice has sides numbered from 1 to 6.(a)1/2(b)1/6(c)1/12(d)1/18(e)1/36Question #4: A cyclist bikes from town A to town B and back to town A in 3 hours. He bikesfr

18、om A to B at a speed of 15 miles/hour while his return speed is 10 miles/hour. What isthe distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 milesQuestion #5: The volume of a cube-shaped glass C1 of edgea is equal to half the volumeof a cylinder-shaped glass C2. The r

19、adius of C2 is equal to the edge of C1. What is theheight of C2?7t(a)2 - a / 兀 (b)a /兀 (c)a / (2- ) ) (d)a /兀 (e)a +Question #6: How many integers x are there such that 2x < 100, and at the same time thenumber 2 x + 2 is an integer divisible by both 3 and 2?(a)1(b)2(c) 3(d) 4(e)5Question #7: sin(

20、x)cos(x)(1 + tan 2(x)=(a)tan(x) + 1 (b)cos(x)(c)sin(x)(d)tan(x)(e)sin(x) + cos(x)Question #8: If 5xy = 210, and x and y are positive integers, each of the following couldbe the value of x + y except:(a)13(b) 17(c) 23(d)15(e)43Question #9: The average of the integers 24, 6, 12, x and y is 11. What is

21、 the value ofthe sum x + y?cases?(a)11(b)17(c)13(d)15(e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the followingI. x < -5 II. x > 7 III. x > 01. Three unit circles are arranged so that each touches the other two. Find the radii of the two circles which touch

22、 all three.2. Find all real numbers x such that x + 1 = |x + 3| - |x - 1|.3. (1) Given x = (1 + 1/n)n, y = (1 + 1/n)n+1,show that x(2) Show that 1-2 2 + 3 2 - 4 2 + . + (-1)n+1n2 = (-1) n+1(1 + 2 + . + n).4.All coefficientsofthepolynomial p(x)are non-negative and none exceedp(0).If P(x)has degree n,

23、 show that the coefficient of xn+1 in p(x)2is at most p(1)2/2.5. What is the maximumpossible value for the sum of the absolute values of the differencesbetween each pair of n non-negative real numbers which do not exceed 1?6. AB is a diameter of a circle. Xisa point on the circle other than the midpoint ofthe arc AB. BX meets the tangent a