小站教育SAT数学难题汇总及答案docxWord文档下载推荐.docx

1、8:4518. If the 5 cards shown above are placed in a row so many different arrangements are possibleis never at eithe end, how20.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 abov

2、e, there are 9 equal intervals between 0 and 1. What is the value of x19.If a, b. c, and f are four nonzero 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

3、（C）18（D）24（E）3616. After the first term, each term in a sequence is3 greater than 1/3 of thepreceding 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

4、 company has 4 experienced plumbers and 4 trainees. If a team consists of 1 experienced plumber and 2 trainees, how many different such teams are possiblep. 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 t

5、he sum of the consecutive integers from -22 to x, inclusive, is 72,what is the value of 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 k19, In a set of eleven differe

6、nt numbers, which of the following CANNOT affect the value of the median（A） Doubling eachnumber（B） Increasing each number by10（C）Increasing the smallest number only （D） Decreasing the largestnumber only （E） Increasing thelargest number only15.A store charges $28 for a certain type of sweater. This p

7、rice is 40 percent morethan the amount it costs the store to buy one of these sweaters. At an end-of-seasonsale, 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 atthis sale （A） $（B）$ （C）$ （D）$

8、（E） $and Corinne stand back-to-back. They each take 10 steps in opposite 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 oneof Corinnes steps （All of Alices steps a

9、re the same length and all of Corinnes steps are the same length.）14.If 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 is5to 2. How many p

10、ounds of cashews will there be in 4 pounds of this mixture14.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

11、 integer that is twice the value of an odd integer（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 x axis, 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 4II. bIII.

12、 b f（a） （A） I x2（A）I onlyonly （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! interms 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 atthe point （1,1）. If f（b） = f（3）, whi

13、ch of the following 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 too

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

15、）=44p（D）t（p）=p/44 （E） t（p）= p+ 4420. For all numbers .t and v. let the operation be defined by xv = xy - yIf a and b re positive integers, which of the following can be equal to zeroI. abII. （a + b）b IIl. a（a + b） （A）I only（B）II only（C）IIlonly （D） Iand ll （E）I and IIl18.In the figure above, ABCD is

16、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）11/2 （C）3/2（D）6/5（E）38. The price of ground coff

17、ee beans is d dollars for 8 ounces and each ounce makes ccups 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 - y18. The average （arithmetic mean） of the test scores

18、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 ofp/n14.Which of the following is equivalent to h（m+ 1）（A） g（m）（B）g（m） +l （C） g（m）-1 （D） h（m）+1 （E） h（m）-1has con

19、tainers of two different sizes. The total capacity of 16 containers of-one sizeis x gallons, and the total capacity of 8 containers of the other size is alsoand x 0. In terms of x, what is the capacity, in gallons, of each of the larger（A） 4x（B） 2xx gallons,containers（C）x/2（D）x/8（E）x/1618. Let the f

20、unction f be defined by f（x） = x2+ 18. If m is a positive number suchthat f（2m） = 2f（m）, what is the value of m19. The cost of maintenance on an automobile increases each year by 10 percent, and Andrew paid S300 this year for maintenance on his automobile. If the costcfor maintenance on Andrews automobile n years from now is given by the function c（n） = 300xn, what is the value of x（A）（C）（D）（E） 30xy = 7 and x- y = 5. then x2*y-xy2=（A）2