小站教育SAT数学难题汇总及答案.docx

1、小站教育SAT数学难题汇总及答案SAT数学难题汇总及答案x2 表示 x 的平方，=！表示不等于。pi 表示圆周率类型 1：20. The least integer of a set of consecutive integers is -25. If the sum of these integers is 26, how many integers are in this set(A) 25 (B) 26 (C) 50 (D) 51 (E) 5214. Exactly 4 actors try out for the 4 parts in a play. If each actor can

2、 perform any one part and no one will perform more than one part, how many different assignments of actors are possible16. Set X has x members and set Y has y members. Set Z consists of all members that are in either set X or set Y with the exception of the k common members (k 0). Which of the follo

3、wing represents the number of members in set Z (A) x + y + k (B) x + y - k (C) x + y + 2k (D) x + y - 2k(E) 2x + 2y - 2k20. There are 75 more women than men enrolled in Linden College. If there are n men enrolled, then, in terms of n, what percent of those enrolled are men17. A merchant sells three

4、types of clocks that chime as indicated by the check marks in the table above. What is the total number of chimes of the inventory of clocks in the 90-minute period from 7:15 to8:45 18. If the 5 cards shown above are placed in a row so is never at eithe end, how many different arrangements are possi

5、ble20. When 15 is divided by the positive integer k, the remainder is 3. For how many different values of k is this true(A) One (B) Two (C) Three (D) Four (E) Five17. On the number line above, there are 9 equal intervals between 0 and 1. What is the value of x 19. If a, b. c, and f are four nonzero

6、numbers, then all of the following proportions are equivalentEXCEPT (A) a/f=b/c (B)f/c=b/a (C) c/a=f/b (D)a/c=b/f (E)af/bc=1/18. If a and b are positive integers and what is the value of ab (A) 6 (B) 12 (C) 18 (D) 24 (E) 3616. After the first term, each term in a sequence is3 greater than 1/3 of the

7、 preceding term. If t is the first term of the sequence and t=!0. what is the ratio of the second term to the first term15. The Acme Plumbing Company will send a team of 3 plumbers to work on a certain job. The company has 4 experienced plumbers and 4 trainees. If a team consists of 1 experienced pl

8、umber and 2 trainees, how many different such teams are possible p. r. and s are three different prime numbers greater than 2, and n = p * r * s, how many positive factors, including 1 and n. does n have18. If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value of

9、x (A) 23(B) 25 (C) 50 (D) 75 (E) 9417. For all positive integers j and k. let j R k be defined as the whole number remainder when j is divided by k. If 13 Rk = 2, what is the value of k 19, In a set of eleven different numbers, which of the following CANNOT affect the value of the median(A) Doubling

10、 each number(B) Increasing each number by 10(C) Increasing the smallest number only (D) Decreasing the largest number only (E) Increasing the largest number only15. A store charges $28 for a certain type of sweater. This price is 40 percent more than the amount it costs the store to buy one of these

11、 sweaters. At an end-of-season sale, store employees can purchase any remaining sweaters at 30 percent off the stores cost How much would it cost an employee topurchase a sweater of this type at this sale (A) $(B) $ (C)$ (D) $ (E) $ and Corinne stand back-to-back. They each take 10 steps in opposite

12、 directions away from each other and stop. Alice then turns around, walks toward Corinne. and reaches her in 17 steps. The length of one of Alices steps is how many times the length of one of Corinnes steps (All of Alices steps are the same length and all of Corinnes steps are the same length.)14. I

13、f n and p are integers greater than 1 and if p is a factor of both n +3 and n + 10. what is the value of p(A) 3 (B) 7 (C)10 (D) 13 (E) 3016. In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2. How many pounds of cashews will there be in 4 pounds of this mixture1

14、4. How many integers greater than 20 and less than 30 are each the product of exactly two different numbers, both of which are prime(A) Zero (B) One (C) Two (D) Three (E) Four20. If k is a positive integer, which of the following must represent an even integer that is twice the value of an odd integ

15、er(A) 2k(B) 2k + 3 (C) 2k+ 4 (D) 4k+1 (E) 4k+ 2类型 2：18. The shaded region in the figure above is bounded by the xaxis, the line x = 4, and the graph of y = f(x).If the point (a, b) lies in the shaded region, which of the following must be trueI. a 4 II. b a III. b x2(A) I only(B) III only(C) I and I

16、I only (D) I and III only (E) I, II, and III6. If m and k are positive and 10(m2)*k-1= 100m, what is m-1! in terms of k (A) k/10(B) k/90(C) k10 (D) 1/10k(E) 1/90k8. The figure above shows the graph of a quadratic function f that has a minimum at the point (1,1). If f(b) = f(3), which of the followin

17、g could be the value of b (A) -3 (B) -2 (C) -1 (D) 1 (E) 516. If a + 2b is equal to 125 percent of 4b, what is the value of a/bs biology experiment involved timing 12 hamsters in a maze. Each hamster received at least one practice before being timed. The scatter plot above shows the time each hamste

18、r took to complete the maze and the corresponding number of practices that each hamster received. Based on the data, which of the following functions best models the relationship between t, the number of seconds to complete the maze, and p, the number of practices(A) t(p) = 44 (B) t(p) = p (C) t(p)

19、= 44p(D) t(p) = p/44 (E) t(p)= p+ 4420. For all numbers .t and v. let the operation be defined by x v = xy - y If a and b re positive integers, which of the following can be equal to zeroI. a bII. (a + b) b IIl. a (a + b) (A) I only(B) II only (C) IIl only (D) I and ll (E) I and IIl18. In the figure

20、 above, ABCD is a rectangle. Points A and C lie on the graph of y = p*x3, where p is a constant. If the area of ABCD is 4, what is the value of p19. If k, n, x, and y are positive numbers satisfying x (-4/3)= k-2 and y(4/3) = n2, what is(xy)(-2/3 in terms of n and k (A) 1 (B) 1/2 (C) 3/2(D) 6/5 (E)

21、38. The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d. what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee15. Ifx2-y2 = 10 and x +y = 5. what is the value of x - y 18. The average (arith

22、metic mean) of the test scores of a class of p students is 70. and the average of the test scores of a class of n students is 92. When the scores of both classes are combined, the average score is 86.What is the value of p/n14. Which of the following is equivalent to h(m + 1) (A) g(m)(B) g(m) + l (C

23、) g(m)-1 (D) h(m)+1 (E) h(m)-1 has containers of two different sizes. The total capacity of 16 containers of-one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and x 0. In terms of x, what is the capacity, in gallons, of each of the larger containers(A

24、) 4x (B) 2x (C)x/2 (D)x/8 (E)x/1618. Let the function f be defined by f(x) = x2+ 18. If m is a positive number such that f(2m) = 2f(m), what is the value of m 19. The cost of maintenance on an automobile increases each year by 10 percent, and Andrew paid S300 this year for maintenance on his automob

25、ile. If the cost c for maintenance on Andrews automobile n years from now is given by the function c(n) = 300xn, what is the value of x (A) (B) (C) (D) (E) 30 xy = 7 and x- y = 5. then x2*y-xy2= (A) 2(B) 12 (C) 24 (D) 35 (E) 7017. Line m (not shown) passes through O and intersects AB between A and B. What is one possible value of the slope of line m 17. If k and h are constants and x2+kx+7is equivalent to(x + 1)(x + h). what is t