sat数学考试试题

合集下载

美国“高考”SAT考试的数学题

美国“高考”SAT考试的数学题数学第一部分时间(25分钟）16个问题说明：这部分包含有两种类型的问题。

你将有25分钟时间来完成他们.对于1-8，在所给选项中选出一个最佳答案，然后再答题卡上填上相应的圆圈，你可以使用任何可用的草稿纸空间。

注释：1、可以使用计算器。

2、所有使用的数字均为实数。

3、在测试中，问题中所提供的数字或图表都包含一定的信息，这对于解题很有帮助。

所有图表都是比较准确的,除非在某些具体问题中，图表没有按比例绘制。

所有数字都呈现于平面上，除非另有说明。

4、除非另有规定,对于任何函数f 的值域都是所有实数x 的集合，并使得f（x) 是实数。

可能用到的公式:1、If 4（t+u）+ 3 =19，then t+u=如果4（t+u）+ 3 =19, 那么t+u=A 3B 4C 5D 6E 72、如图，三条直线相交于一点。

如果f=85，e=25，那么a 的值是多少?A 60B 65C 70D 75E 853、如果玛丽开车行驶n 英里用了t 小时，那么下列哪个可以表示她行驶的平均速度，英里/小时?A n/tB t/nC 1/ntD ntE n²t4、如果a 是一个奇数，b 是一个偶数，那么选项中哪一个是奇数?A 3bB a+3C 2（a+b）D a+2bE 2a+b5、在平面坐标内，F(—2，1),G(1,4)，H（4,1)在以P为圆心的圆上，那么点P的坐标是什么？A（0,0）B(1,1）C（1,2）D（1,—2)E(2.5,2.5）6、如图,如果-3≤x≤6，那么x 有几个值,使得f(x）=2?A 零B 一个C 两个D 三个E 三个以上7、如果t 和t+2 的算术平均值是x, t 和t-2的算术平均值是y，那么x 和y 的算术平均值是多少？A 1B 1/2C tD t+1/2E 2t8、对于任何数x 和y,假设x△y=x²+xy+y²，那么（3△1）△1等于多少？A 5B 13C 27D 170E 1839、摩根的植物在一年之内从42厘米长到57厘米。

sat数学试题

sat数学试题Introduction:The SAT is an important standardized test for college admissions in the United States. It assesses a student's knowledge and skills in various subjects, including mathematics. In this article, we will discuss and analyze several SAT math questions to help you better understand the exam format and improve your problem-solving abilities.Question 1:A triangle has side lengths of 5, 12, and x. If x is an integer, what is the range of possible values for x?Solution:To determine the range of possible values for x, we need to consider the triangle inequality theorem. According to this theorem, the sum of any two side lengths of a triangle must be greater than the third side length.In this case, we have sides of lengths 5, 12, and x. We can set up two inequalities to represent the triangle inequality theorem:5 + 12 > x and 5 + x > 12Simplifying these inequalities, we get:17 > x and x > 7Therefore, the range of possible values for x is 8, 9, 10, 11, 12, 13, 14, 15, 16.Question 2:If a rectangle has a length of 8 and a perimeter of 30, what is the width of the rectangle?Solution:The formula for perimeter of a rectangle is given by:Perimeter = 2 * (Length + Width)In this case, we have a perimeter of 30 and a length of 8. Plugging in these values into the formula, we get:30 = 2 * (8 + Width)Simplifying the equation, we have:15 = 8 + WidthSubtracting 8 from both sides, we find:Width = 7Therefore, the width of the rectangle is 7.Question 3:If f(x) = 2x + 5, what is the value of f(3) - f(-1)?Solution:To find the value of f(3) - f(-1), we need to evaluate each expression separately and then subtract.First, let's find the value of f(3):f(3) = 2(3) + 5= 6 + 5= 11Next, let's find the value of f(-1):f(-1) = 2(-1) + 5= -2 + 5= 3Finally, we subtract the two values:f(3) - f(-1) = 11 - 3= 8Therefore, the value of f(3) - f(-1) is 8.Conclusion:These sample SAT math questions demonstrate the types of problems you may encounter on the exam. By practicing and understanding these concepts, you can improve your performance and feel more confident on test day. Remember to review the relevant formulae and theorems and apply them accurately. Good luck with your SAT preparation!。

SAT数学试卷

1、If 5252+=+x x ,then x can equal which of the following? ( ) (A) 51(B) 54(C) 1(D) 25(E) 5 2、,962-=+x x If what is the value of 34-x ?( )(A)-5(B)-9(C) -15(D) -18(E) -213、,1455==tk and t If what is the value of k ?( ) (A)451(B)91(C) 51(D) 5(E) 9 4、The average of x and y is 5 and the average of y x ,,and z is 8.What is the value of z ?( )(A) 19(B) 14(C) 13(D) 11(E) 35、If ,8212-=x x what is the value of x ?( )(A) 2(B) 3(C) 4(D) 5(E) 66、In the xy -plane,the equation of line l is 52+=x y .If line m is the reflection of line l in the axis x -,what is the equation of line m ?( )(A) 52--=x y (B) 52+-=x y (C)52-=x y (D)521--=x y (E)521+-=x y 7、If ()s x a =++12,what is 1+x ,in terms of s and a ? ( ) (A) a s 2(B) 2a s -(C) 2a s +(D) a s -2(E) a s +28、If ,12325+==+y x and x y what is the value of y ?9、Let the operation *and ∆ be defined for all real numbers a and b as follows: b a b a b a b a 4*,3+=+=∆?,4*)5()5(4y of value the is what y y IF =∆1、If 32=y x ,what is the value of y x 23?( ) (A) 31 (B) 32 (C) 1 (D) 23 (E) 492、If1624=x ,then =x ( ) (A) 1 (B) 2 (C) 4 (D) 8 (E) 123、 How much greater than 2-r is 5+r ? ( )(A) 2 (B) 3 (C) 5 (D) 6 (E) 74、?75,4273n of is what is n of IF ( ) (A)70 (B) 45 (C) 30 (D) 185、If and y x 7322=+24=xy ,what is the value of ()2y x +? ( ) (A) 73 (B) 97 (C) 100 (D) 121 (E) 1446、If ,1,52+-x x and 83-x are all integers and 1+x is the median of these integers, which of the following could be a value for x ? ( )(A) 5 (B) 7 (C) 9 (D) 10 (E) 117、If 02<<y x ,which of the following is greatest ? ( )(A) x 2- (B) ()y x +-2 (C) x 2 (D) 0 (E) y -8、If 1013<+b ,which of the following CANNOT be the value of b ? ( )(A) -1 (B) 0 (C) 1 (D) 2 (E) 39、If 30 percent of 40 percent of a positive number is equal to 20 percent of w percent of the same number, what is the value of w ? ( )(A) 80 (B) 60 (C) 50 (D) 15 (E) 1010、If ()()2121--=+b a b a ,which of the following must be true? ( ) (A) 0=b (B) 1=+b a (C) 1=-b a (D) 122=+b a (E)122=-b a1、)()2(,23)(2=-=f then x nonzero all for x x x f IF(A)11/2 (B)7/2 (C) —1/2 (D) —5/2 (E) —72、It takes 4 complete turns of a crank to raise a window 2 inches. At this rate, how many turns does it take to raise the same window 213inches?( ) (A)3.5 (B) 7 (C)12 (D)14 (E)353、In the figure, 1==BD AD ,3=DC ,090=∠ADB . What is the value of BCD ∠?(A) 15 (B) 20 (C) 25 (D) 30A D C x(第3题图) (第4题图)4、In the right triangle above, if 3=x ,what is the value of y ?( )(A) 13 (B) 15 (C)4(D) 17 (E) 55、In the figure above,the circle is tangent to sides BC and AD of the 128--by rectangle ABCD .What is the area of the circle? ( )(A) π16 (B) π20 (C) π36 (D) π64 (E) π96nCl0x0y m(第5题图)(第6题图)6、In the figure above , 90>⊥x and n l .Which of the following must be true ?( )(A) 90<y (B) 90>y (C)90=y (D) m n ⊥ (E) m l //7、Let the operation be defined by b a b a b a -+=* for all numbers a and b ,where b a ≠.If x *22*1=, what is the value of x ?1、If x?of value the is What ,21723=+x ( ) (A)4 (B) 5 (C)9(D)12 (E) 152、In the xy-plane ,the line with equation 105-=x y crosses the x-axis at the point with coordinates ),(b a .What is the value of a ? ( )(A) 10- (B) 2- (C)0(D) 2 (E) 566 60300303、What is the perimerer of the figure above? ( )(A) 24 (B)25 (C) 28 (D)30 (E)364、If m is the greatest prime factor of 38 and n is the greatest prime factor of 100, what is the value of n m + ? ( )(A) 7 (B) 12 (C) 24 (D)29 (E) 44Q030P R5、In the figure above ,QR is the arc of a circle with center P , if the length of arc QR is π6, what is the area of sector PQR? ( )(A) π108 (B) π72 (C) π54 (D) π36 (E) π96、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 men ? ( )(A) %75+n n (B)%752+n n (C)%)752(100+n n (D)%75100+n n (E)%752100+n n 7、If ?,0,,k to equal s i following the of which rv and kr v v xr ≠==( )(A) 1 (B) x /1 (C) 1-x (D) x (E) 1+x8、If ? x of value the is what ,1,2122=+=-y x and y x9、Let the function h(x) be defined by,9)2(,414)(2m m h if x x h =+=? m of value possible one is what1、If 1593+=+x x ,what is the value of x ? ( )(A) 1 (B) 2 (C) 3 (D) 4 (E) 82、There is the same number of boys and girls on a school bus when it departs from school. Atthe first stop. 4 boys get of the bus and nobody gets on. After the first stop , there are twice as many girls as boys on the bus. How many girls are on the bus? ( )(A) 4 (B) 6 (C)8 (D) 12 (E)163、In the figure, there line segments meet at a point to form three angles. What is the value of ?x ( )2x4x 3x(A) 20 (B) 36 (C)40 (D) 45 (E) 604、Positive integers ,,y x and z satisfy the equations 3121=-xand 16=z y .If y z >,whatis the value of ?z x +( )(A) 5 (B) 7 (C) 11 (D) 13 (E) 155、If p is an integer and 3is the remainder when 72+p is divided by 5, then p could be ( )(A) 2 (B) 3 (C) 4 (D) 5 (E) 66、Stacy noted that she is both the 12th tallest and the 12th shortest student in her class. If everyone in the class is of a different height, how many students are in the class? ( )(A) 22 (B) 23 (C) 24 (D) 25 (E) 347、The price of a telephone was first increased by 10 percent and then the new price was decreased by 25 percent. The final price was what percent of the initial price ? ( )(A) 78% (B) 80% (C) 82.5% (D) 85% (E) 87.5%8、When the number w is multiplied by 4, the result is the same as when 4 is added to w . What is the value of w 3?( ) (A) 43 (B) 1 (C) 34 (D) 3 (E) 4 9、The lengths of the sides of a right triangle are consecutive even integers, and the length of the shortest side is x . Which of the following equations could be used to find x ?( )(A) 21+=++x y x (B) ()()22221+=++x x x (C) ()()22242+=++x x x (D) 42+=++x x x (E) ()()422++=x x x10、If x is an integer greater than 1and if xx y 1+=, which of the following must be true ?(1) x y ≠ (2) y is an integer (3) 2x xy >( )(A)(1) only (B)(3) only (C)(1) and (2) only (D)(1) and (3) only (E)(1)(2) and (3)1、If ?,65,52t of terms in equal r does what t s s r ==( ) (A)t 2512 (B)t 56 (C) t 3 (D) t 15 (E) t 30 2、For which of the following function is ?)3()3(f f >-( )(A) 24)(x x f =(B)4)(=x f (C)xx f 4)(= (D) 34)(x x f -= (E) 4)(4+=x x f 3、If Y is the midpoint of XZ ,which of the following must be true? ( )XZ YZ 21)1(=XY XZ 221)2(=XZ XY =2)3( (A)(1) only (B)(2) only (C) (3) only (D)(1) and (2) (E)(1) and (3)4、For what value of x is the FALSE statement about ?)3(322x x <( )(A)-3 (B)0 (C)31 (D) 1 (E) For no value of x 5、For how many ordered pairs of positive integers ),(y x is ?632<+y x ( )(A)1 (B)2 (C)3 (D) 5 (E) 76、If x and y are positive consecutive odd integers, where y x <,which of the following is equal to ?22x y -( )(A)2x (B)4x (C)2x+2 (D)2x+4 (E)4x+47、If the average of x and y is k ,which of the following is the average of x,y and z? ( )(A)32z k + (B)22z k + (C) 3z k + (D) 2z k + (E) 3)(2z k + 8、When 15 is divided by the positive integer k ,the remainder is 3.For how many different values of k is this true? ( )(A)1 (B)2 (C)3 (D) 4 (E) 59、When the number t is multiplied by 4, the result is the same as when 4 is added to t . What is the value of 3t?( )(A) 43 (B) 1 (C) 34 (D) 3 (E) 4 10、In the xy-plane, line l passes through the origin and is perpendicular to the line k y x =+4 ,where k is a constant.If the two lines intersect at the point )1,(+t t ,what is the value oft?1、If 158=+k ,then k =( )(A) 7 (B) 49 (C) 529 (D)7 (E) 23 2、If m and k are positive numbers and m k m 1001012=-,what is 1-m in terms of k ? ( ) (A)10k (B) 90k (C) 10k (D) k 101 (E)k901 3、If a,b,and c are different positive integers and =++=⋅⋅c b a c b a then 222,64222（）(A)14 (B)17 (C) 21 (D) 28 (E)344、If 20 percent of x equals 80 percent of y ,which of the following expresses y in terms of x ?( )(A)x of y %16=(B)x of y %25= (C)x of y %60= (D)x of y %100=(E) x of y %400=5、The numerator of a certain fraction is 5 less than the denominator. If the fraction is equal to43,what is the denominator of this fraction ?( )(A) 8 (B) 12 (C) 16 (D) 20 (E) 246、In the xy- plane,the center of a circle has coordinates (3,-7).If one endpoint of a diameter of the circle is (-2,-7).What are the coordinates of the other endpoint of this diameter?( )(A)(-7,-7) (B)(-2,-2) (C) (3,-2) (D)(8,-2) (E)(8,-7)7、If 10<<x , which of the following statemengts must be true ? ( )(1) 32x x > (2) 2x x > (3) 3x x > (A)(1) only (B)(3) only (C)(1) and (2) only (D)(1) and (3) only (E)(1)(2) and (3)8、Let the function f be defined by ().1+=x x f If (),202=p f what is the value of ()p f 31、If x+3=a,then 2x+9=( )(A)a+3 (B)a+6 (C)2a (D)2a+3 (E)2a+62、If 21=x ,what is the value of ?111-+x x ( ) (A)-4 (B)0 (C)1 (D)2 (E)33、How old was a person exactly 1 year ago if exactly x years ago the person was y years old ? ( )(A)y-1 (B)y-x-1 (C)x-y-1 (D)y+x+1 (E)y+x-14、A,B and C are points on a line in that order ,if AB=30 and BC is 20 more than AB ,what does AC equal ? ( )(A)50 (B)60 (C)70 (D)80 (E) 905、If 10<<n , which of the following statemengts must be true ? ( ) (A)2n n n <<(B)n n n <<2 (C)2n n n << (D)n n n <<2 (E)n n n <<26、In a poll, 35 people were in favor of building a new library, 14 people were against it, and 1 person had no opinion. What fraction of those polled were in favor of building a new library?（） (A) 107 (B) 32 (C) 73 (D)31 (E) 1037、If85310=-=-k k ,What is the value of k ?8、If b a 2+is equal to 125 percent of b 4,what is the value of?b a9、What is the value of x in the figure above?65° lm︒x 20° 10、In the -xy coordinate plane,the distance between point ()18,10B and point ()3,x A is 17.What is one possible value of x ?1、If1624=x ,then =x ( ) (A) 1 (B) 2 (C) 4 (D) 8 (E) 122、,1455==tk and t If what is the value of k ?( ) (A)451 (B)91 (C) 51 (D) 5 (E) 9 3、If ,8212-=x x what is the value of x ?( )(A) 2 (B) 3 (C) 4 (D) 5 (E) 64、If c b a ,,,and f are four nonzero numbers then all of the following proportions are equivalent EXCEPT( ) (A)c b f a =(B)a b c f =(C)bf a c = (D)f b c a = (E) f b bc af = 5、 If 2,3,8===-z and z y y x ,what is the value of x ?( )(A)-14 (B) -2 (C) 2 (D) 3 (E)146、Todd is older than Marta but younger than Susan. If i , m and s represent the ages in years of Todd .Marta and Susan respectively, which of the following is true ?( )s i m A <<.i m s B <<.m i s C <<.s m i D <<.ms i E <<. 7、If the areas of two regions are equal and the sum of the areas of the regions is 5.What is the areas of one region ?( )(A) 0 (B) 25 (C) 45(D) 5 (E) 10 8、Let S be the set of all integers that can be written as 12+n . Where n is a nonzero integer. Which of the following integers is in S ?( )(A) 16 (B) 28 (C) 35 (D) 39 (E) 509、Let the operation be defined by b a b a b a ++=∆2for all numbersa andb ,If x x ∆=∆12, what is the value of x ?1、If 18)4(3=-n ,what is the value of ?n ( ) 314)(A 332)(B 6)(C 10)(D 22)(E2、?75,4273n of is what is n of IF ( ) (A)70 (B) 45 (C) 30 (D) 183、If a x x 24=and 0≠x ,what is the value of ?a ( )(A) 8 (B) 4 (C) 221)(D 41)(E 4、In the xy-coordinate plane line l is perpendicular to the y-axis and passes through the point (5,-3). Which of the following is an equation of line l ? ( )0)(=x A 5)(=x B 3)(-=y C 53)(+=+x y D 53)(+=-x y E5、If and y x 7322=+24=xy ,what is the value of ()2y x -? ( ) (A) 25 (B) 97 (C) 100 (D) 121 (E) 1446、If 40))((4=-+y x y x and 20=-y x . What is the value of y x + ?7、A recipe for chili for 20 people requires 4 pounds of beans. At this rate how many pounds of beans are required to make chili for 150 people ?8、When the positive even integer n is increased by 50 percent of itself ,the result is between 16 and 20 .What is one possible value of n ?9、The perimeter of a rectangular plot of land is 250 meters .If the length of one side of the plot is 40 meters , what is the area of the plot in square meters ?1、If 30 percent of m is 40.What is 15 percent of m ? ( )(A) 15 (B) 20 (C) 25 (D) 30 (E) 352、and x If 80≤≤ 31≤≤-y , which of the following gives the set of all possible values of xy ( )(A) 4=xy (B)240≤≤xy (C) 111≤≤-xy (D) 241≤≤-xy (E) 248≤≤-xy3、According to a certain recipe ，25 pounds of flour are needed to make 300 rolls.At this rate how many pounds of flour are needed to make 12 rolls? ( )(A) 1 (B) 2 (C) 3 (D) 4 (E) 64、If 10=xy , what is the value of 22y yx ⋅⋅?( ) (A) 5 (B) 8 (C) 10 (D) 12 (E) 205、If 30=+y x and 8>x , then which of the following must be true ? ( ) (A)0>y (B)22<y (C)22=y (D)22>y (E)30<x6、If k is a positive integer divisible by 3 ,and if 60<k , what is the greatest possible value of k ?( )(A) 55 (B) 56 (C) 57 (D) 58 (E) 597、If the average (arithmetic mean) of 6,6,12,16, and x is equal to x . What is the value of x ?( )(A) 6 (B) 8 (C) 9 (D) 10 (E) 118、How many seconds are there in m minutes and s seconds ? ( )(A) s m +60 (B) s m 60+ (C) )(60s m + (D) 60s m + 9、If 0)2)(22(=--x x ,what are all the possible values of x ? ( )(A) 0 only (B) 1 only (C) 2 only (D) 1 and 2 only (E) 0,1 and 210、If 93y x =, what is x in terms of y ?( ) (A)y (B) 2y (C) 3y (D) 6y (E) 12y 11、 If 8)3(2=-x , what does 33+-x x equal ?12、When twice a number is decreased by 3 , the result is 253. What is the number ?1、If 21523=+a ,what is the value of a ?( ) (A) 4 (B) 8 (C) 9 (D)12 (E) 152、If 022=--x x ,what are all the possible values of x ? ( )(A) 0 only (B) -1 only (C) 2 only (D) -1 and 2 only (E) 0,-1 and 23、How many integers in the set of all integers from 1 to 100 inclusive are not the square of an integer ? ( )(A) 19 (B) 50 (C) 81 (D) 89 (E) 904、If n is a negative number. Which of the following must be positive ? () (A) 2n(B) n 2 (C) 2+n (D) 2-n (E) n -25、The ratio 1.2 to 1 is equal to which of the following ratios ? ( )(A) 1 to 2 (B) 12 to 1 (C) 5 to 6 (D) 6 to 5 (E) 6 to 506、If 1)4(3=-m ,what is the value of ?m ( )313)(A 326)(B 6)(C 10)(D 22)(E7、If 1624=x ,then =x ( )(A) 1 (B) 2 (C) 4 (D) 8 (E) 128、If 21=x ,what is the value of ?1221-+x x9、If a xx 23=and 0≠x ,what is the value of ?12+a10、If 40))((=-+y x y x and 20=-y x . What is the value of y x 32+ ?1、If x+1=m,then 2x+3=( )(A)m+3 (B)m+6 (C)2m (D)2m+1 (E)2m+32、If 18)42(3=-n ,what is the value of ?n ( )5)(A 4)(B 6)(C 10)(D 22)(E3、,11332==+tk and t If what is the value of k ?( ) (A)451 (B)91 (C) 51 (D) 5 (E) 9 4、? x of value the is what 3,3,52f ，===-z and z y x y I ( )(A)-14 (B) -2 (C) 2 (D) 3 (E)145、A,B and C are points on a line in that order ,if AB=15 and BC is 20 more than AB ,what does AC equal ? ( )(A)50 (B)60 (C)70 (D)80 (E) 906、If and y x 922=+2=xy ,what is the value of ()2y x -? ( ) (A) 4 (B) 5 (C) 6 (D) 7 (E) 87、According to a certain recipe ，25 pounds of flour are needed to make 300 rolls.At this rate how many pounds of flour are needed to make 36 rolls? ( )(A) 1 (B) 2 (C) 3 (D) 4 (E) 68、If the average of 3,4,6,7, and x is equal to x . What is the value of x ?( )(A) 4 (B) 5 (C)6 (D)7 (E)89、If k is a positive integer divisible by 5 ,and if 60<k , what is the greatest possible value of k ?( )(A) 50 (B) 51 (C) 55 (D) 56 (E) 5810、If 8)3(2=-x , what does 362++x x equal ? ( ) (A) 1 (B) 2 (C) 3 (D) 4 (E) 511、If 42=+y x and 223=-y x . What is the value of y x + ?12、Let the operation be defined by y x y x y x ++=∆2for all numbersx and y ,If a a ∆=∆32, what is the value of 2a+1?(A) 6 (B)7 (C) 8 (D)9 (E)102、If )1(656565+=x , then =x ( )(A)10 (B)11 (C) 100 (D)101 (E)1.0013、If p n 3=, for what value of p is p n = ?( )(A) 0 (B)1/3 (C) 1 (D)3 (E)n can never equal p4、If 123102)(,m m m m m y x ==⋅, what is the value of y x + ?( )(A) 8 (B)9 (C) 10 (D)11 (E)125、If a and b are positive integers and 722=-b a , what is the value of a ?( )(A) 3 (B)4 (C) 5 (D) 6 (E) 76、Which of the following numbers is between 1/5 and 1/4 ?( )(A) 0.14 (B) 0.15 (C) 0.19 (D) 0.21 (E) 0.267、If n represents an odd integer, which of the following expressions represents an even integer ?( )(A) n+2 (B) 2n-1 (C) 3n-2 (D) 3n+2 (E) 5n+18、The following are coordinates of points in the xy-plane,which of these points is nearest the origin ?( )(A) (0,-1) (B) (0,1/2) (C) (1/2,-1/2) (D) (1/2,1/2) (E) (-1,-1) 9、If b a b a 4,161==, what is the value of b a 32+ ?10、Let x be defined as x x x -=2! for all value of x .If !)2(!-=a a ,what is the value of 2a+3 ?(A)10 (B)11 (C) 12 (D)13 (E)142、If )12(11121-=x , then =x ( )(A)5 (B)6 (C) 7 (D)8 (E)93、If 12-=p n , for what value of p is p n = ?( )(A) 0 (B)1/2 (C) 1 (D)3 (E)n can never equal p4、If 123102)(,a a a a a y x ==⋅, what is the value of y x -2 ?( )(A) 14 (B)13 (C) 10 (D)11 (E)125、If and y x 922=+2=xy ,what is the value of ()2y x +? ( ) (A) 11 (B)12 (C) 13 (D) 14 (E) 156、If the average of 3,4,6,7, and x is equal to x . What is the value of x+2?( )(A) 4 (B) 5 (C)6 (D)7 (E)87、If n represents an odd integer, which of the following expressions represents an even integer ?( )(A) n+4 (B) 2n-3 (C) 3n-4 (D) 3n (E) 3n+18、The following are coordinates of points in the xy-plane, which of these points is the farthest origin ?( )(A) (0,-1) (B) (1,-1) (C) (2,0) (D) (3/2,1/2) (E) (-1,1)9、If x y and y x 2,164==, what is the value of y x 32+ ?10、Let x be defined as 1*2+-=x x x for all value of x . If *)1(*+=m m ,what is the value of 2m+1 ?。

sat数学考试试题

SAT数学真题精选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 (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （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 auditorium. Each section contains at least 150 seats 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) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. 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 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?（A）1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2Question #1: 50% of US college 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, MN is parallel with BC and 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 a2 + 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 is 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 m n < 100?(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years ?(A)2.275 (B)3.250 (C)2.250 (D)3.375 (E)2.500 Question #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:US UK Medals3 2 gold1 4 silver4 1 bronzeThe number 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, 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 to 1 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 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations:l1: y = ax + 1l2: y = bx + 2l3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2?(a) a = -2, b = -2, c = .5 (b) a = -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 the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree? (a) 125 (b) 150 (c) 175 (d) 200 (e) 225 Question #4: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:(a) cos(β) (b) sin(β) (c) 1 (d) cos2(β) (e) -1 Question #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 of a?(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11Question #1: If f(x) = x and g(x) = √x, x≥ 0, what are the solutions of f(x) = g(x)? (A) x = 1 (B)x1 = 1, x2 = -1(C)x1 = 1, x2 = 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 of the circle and triangle OAB is equilateral? The radius of the circle is 9(a) π(b) 2 ·π(c) 3 ·π(d) 4 ·π(e) π/2 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)1/36 Question #4: A cyclist bikes from town A to town B and back to town A in 3 hours. He bikes from A to B at a speed of 15 miles/hour while his return speed is 10 miles/hour. What is the distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2?(a)2·a /π(b)a / π(c)a / (2·π) (d)a / π(e)a + πQuestion #6: How many integers x are there such that 2x < 100, and at the same time the number 2x + 2 is an integer divisible by both 3 and 2?(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan2(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 could be 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 the value of the sum x + y?(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the following cases?I. x < -5 II. x > 7 III. x > 01.Three unit circles are arranged so that each touches the other two. Find the radii ofthe two circles which touch 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 y = y x.(2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n).4.All coefficients of the polynomial p(x) are non-negative and none exceed p(0). Ifp(x) has degree n, show that the coefficient of x n+1 in p(x)2 is at most p(1)2/2.5.What is the maximum possible value for the sum of the absolute values of thedifferences between each pair of n non-negative real numbers which do not exceed 1?6.AB is a diameter of a circle. X is a point on the circle other than the midpoint of thearc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Show that the line PQ, the tangent at X and the line AB are concurrent.7.Four points on a circle divide it into four arcs. The four midpoints form aquadrilateral. Show that its diagonals are perpendicular.8.Find the smallest positive integer b for which 7 + 7b + 7b2 is a fourth power.9.Show that there are no positive integers m, n such that 4m(m+1) = n(n+1).10.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet at X. Themidpoints of the diagonals AC and BD are Y and Z. Find the area of the triangle XYZ.精品文库11.A square has tens digit 7. What is the units digit?12.Find all ordered triples (x, y, z) of real numbers which satisfy the following systemof equations:xy = z - x - yxz = y - x - zyz = x - y - z欢迎下载11。

sat数学试题及答案

sat数学试题及答案SAT数学试题及答案一、选择题1. 一个圆的半径是5，求这个圆的面积。

A. 25πB. 50πC. 75πD. 100π答案：B2. 如果一个数列的前三项是2, 4, 6，那么第10项是多少？A. 18B. 20C. 22D. 24答案：B3. 一个三角形的三边长分别为3, 4, 5，这个三角形是：A. 等边三角形B. 等腰三角形C. 直角三角形D. 钝角三角形答案：C二、填空题4. 一个数的平方根等于它本身，这个数是________。

答案：0或15. 如果一个函数f(x) = 3x + 5，求f(-2)的值。

答案：-16. 一个长方形的长是10厘米，宽是5厘米，求它的周长。

答案：30厘米三、简答题7. 一个圆的周长是31.4厘米，求这个圆的直径。

解：根据圆的周长公式C = πd，我们有31.4 = πd。

解得d = 31.4 / π ≈ 10厘米。

8. 一个等差数列的首项是5，公差是3，求第20项的值。

解：等差数列的通项公式为an = a1 + (n - 1)d。

将首项a1 = 5和公差d = 3代入公式，得到a20 = 5 + (20 - 1) * 3 = 5 + 57 = 62。

9. 一个直角三角形的两条直角边分别是6和8，求斜边的长度。

解：根据勾股定理，斜边c的长度等于两直角边的平方和的平方根，即c = √(6² + 8²) = √(36 + 64) = √100 = 10。

四、解答题10. 一个工厂生产了1000个零件，其中5%是次品。

如果工厂决定只出售合格的零件，那么工厂将出售多少个零件？解：首先计算次品的数量，1000 * 5% = 50个。

然后从总数中减去次品的数量，得到出售的合格零件数量：1000 - 50 = 950个。

11. 一个投资项目预计在第一年结束时产生$10,000的利润，如果每年的增长率为5%，那么第三年结束时的利润是多少？解：使用复合利息公式计算，P = P0 * (1 + r)^n，其中P0是初始利润，r是增长率，n是年数。

SAT数学真题精选

SAT数学真题精选编辑整理：尊敬的读者朋友们：这里是精品文档编辑中心，本文档内容是由我和我的同事精心编辑整理后发布的，发布之前我们对文中内容进行仔细校对，但是难免会有疏漏的地方，但是任然希望（SAT数学真题精选）的内容能够给您的工作和学习带来便利。

同时也真诚的希望收到您的建议和反馈，这将是我们进步的源泉，前进的动力。

本文可编辑可修改，如果觉得对您有帮助请收藏以便随时查阅，最后祝您生活愉快业绩进步，以下为SAT数学真题精选的全部内容。

SAT数学真题精选1.If 2 x + 3 = 9, what is the value of 4 x – 3 ?(A) 5 （B）9 （C) 15 (D) 18 (E) 21 2。

If 4(t + u) + 3 = 19, then t + u = ？（A) 3 (B） 4 (C) 5 (D) 6 (E）73。

In the xy-coordinate （坐标) plane above, the line contains the points （0，0）and (1，2）。

If line M （not shown) contains the point (0，0) and is perpendicular （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 auditorium. Each section contains at least 150 seats but not more than 200 seats。

sat数学考试试题(可编辑修改版)

sat数学考试试题(可编辑修改版) SAT数学考试试题(可编辑修改版)在这份SAT数学考试试题中，我们为您精心挑选了一些题目，希望能够帮助您进行备考和巩固数学知识。

请您认真阅读题目，并尽量独立思考和解答。

每道题后面都附带了详细的解答和解题思路，以供参考。

祝您考试顺利！题目一：若a和b都是正整数，且a/b = 1/4，那么a+b的值是多少？A. 5B. 8C. 14D. 16E. 20解答一：我们可以通过代入法求解这道题。

假设a=1，b=4，则a/b=1/4。

因此，a+b=1+4=5。

所以，选项A是正确答案。

题目二：某公司的年度收入增长率为20%，每年的增长幅度相同。

如果这家公司在2018年的年度收入为100万美元，那么在2021年的年度收入是多少？A. 120万美元B. 160万美元C. 140万美元D. 180万美元E. 200万美元解答二：我们可以使用复合增长率的方法来解决这道题。

首先，我们假设2018年的年度收入为x万美元。

根据题目的信息，可得以下等式：x * (1 + 0.2) * (1 + 0.2) * (1 + 0.2) = 100解方程可得：(1.2)^3 * x = 1001.728x = 100x ≈ 57.87（万美元）因此，2021年的年度收入约为57.87 * (1 + 0.2) * (1 + 0.2) * (1 + 0.2) ≈ 140（万美元）。

所以，选项C是正确答案。

题目三：在直角三角形ABC中，角A是直角，边AC = 10，边BC = 24。

点D位于边BC上，使得边AD垂直于边BC。

求边AD的长度是多少？A. 7B. 8C. 12D. 15E. 20解答三：由题目可知，三角形ABC是一个直角三角形。

根据勾股定理，可得：AC^2 + BC^2 = AB^210^2 + 24^2 = AB^2100 + 576 = AB^2676 = AB^2因此，AB = √676 = 26。

sat数学试题

sat数学试题sat数学试题(C)(D)96(E)Not enough information to tell2、A rectangle stands so that its 6 inch side lies flat against the ground. If the rectangle is rotated around the axis of one of its two 4 inch sides, what is the volume of the resulting cylinder?(A)24Ï€(B)36Ï€(C)64Ï€(D)96Ï€(D)144Ï€Answers1、 CThe formula for a cone’s surface area is πr2 + πrl. A cone’s volume is 1/ 3πr2h. So if the dimensions of a cone are multiplied by the same factor, a,then its surface area multiplies by the square of that factor. If the dimensions of acone are multiplied by the same factor, the volume becomes multiplied by the cube ofthat factor:In general, for solids, if each dimension of a cone is multiplied by the same factor, the solid’s surface area is multiplied by the square of that factor, and its volume increases by the cube of that factor. If the surface area of Cone A doubles, its dimensions are multiplied by a factor of Thus, the cone’s volume is multiplied by a factor of Cone A’s new v olumeis2、 EIf the rectangle is rotated about a side of length 4, then the height of the cylinder will be 4 and the radius will be 6.Once you visualize the cylinder, you can plug in the values for the volume of a cylinder:一道SAT数学题(抛物线)天道留学时间：2011-08-26点击：26次下面是一道关于抛物线的SAT数学题及其解法的内容，非常详细。

sat数学考试试题

SAT数学真题精选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 (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （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 auditorium. Each section contains at least 150 seats 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) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. 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 seniors, 300 juniors, and 400 sophomores who applied.Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen（A）1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2Question #1: 50% of US college 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, MN is parallel with BC and 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 a2 + 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 is 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 m n < 100(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years(A) (B) (C) (D) (E)Question #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:The number 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)% (C)% (D)% (E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, in square inches, 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 to 1 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 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations:l1: y = ax + 1l2: y = bx + 2l3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2(a) a = -2, b = -2, c = .5 (b) a = -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 the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree(a) 125 (b) 150 (c) 175 (d) 200 (e) 225Question #4: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:(a) cos(β)(b) sin(β) (c) 1 (d) cos2(β) (e) -1 Question #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 of a(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11Question #1: If f(x) = x and g(x) = √x, x≥ 0, what are the solutions of f(x) = g(x)(A) x = 1 (B)x1 = 1, x2 = -1(C)x1 = 1, x2 = 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 of the circle and triangle OAB is equilateral The radius of the circle is 9(a) π(b) 2 ·π(c) 3 ·π(d) 4 ·π (e) π/2 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 bikes from A to B at a speed of 15 miles/hour while his return speed is 10 miles/hour. What is the distance between the 2 towns(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2(a)2·a /π (b)a / π (c)a / (2·π) (d)a / π (e)a + πQuestion #6: How many integers x are there such that 2x < 100, and at the same time the number 2x + 2 is an integer divisible by both 3 and 2(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan2(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 the value of the sum x + y(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the following cases I. x < -5 II. x > 7 III. x > 01.Three unit circles are arranged so that each touches the other two. Find the radii ofthe two circles which touch 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 y = y x.(2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n).4.All coefficients of the polynomial p(x) are non-negative and none exceed p(0). If p(x)has degree n, show that the coefficient of x n+1 in p(x)2 is at most p(1)2/2.5.What is the maximum possible value for the sum of the absolute values of the differencesbetween each pair of n non-negative real numbers which do not exceed 16.AB is a diameter of a circle. X is a point on the circle other than the midpoint ofthe arc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Show that the line PQ, the tangent at X and the line AB are concurrent.7.Four points on a circle divide it into four arcs. The four midpoints form a quadrilateral.Show that its diagonals are perpendicular.8.Find the smallest positive integer b for which 7 + 7b + 7b2 is a fourth power.9.Show that there are no positive integers m, n such that 4m(m+1) = n(n+1).10.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet at X. The midpointsof the diagonals AC and BD are Y and Z. Find the area of the triangle XYZ.11.A square has tens digit 7. What is the units digit12.Find all ordered triples (x, y, z) of real numbers which satisfy the following systemof equations:xy = z - x - yxz = y - x - zyz = x - y - z。

SAT数学真题精选

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 (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （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 auditorium. Each section contains at least 150 seats 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) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. 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 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?（A）1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2。

sat数学考试试题

s a t数学考试试题 TTA standardization office【TTA 5AB- TTAK 08- TTA 2C】S A T数学真题精选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 (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （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 auditorium. Each section contains at least 150 seats 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) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true(A) r < 1? (B) s < 1? (C) u= 2(D) r = 0(E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set(A) 126? (B) 127? (C) 252? (D) 253(E) 2548. 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 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen（A）1/8? (B) 2/9(C) 2/7? (D) 3/8? (E) 1/2Question #1: 50% of US college 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, MN is parallel with BC and 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 a2 + 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 is 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 m n < 100?(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years(A) (B) (C) (D) (E)Question #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:The number 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)% (C)% (D)% (E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, in square inches, 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 to 1 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 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations: l1: y = ax + 1l2: y = bx + 2l3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2(a) a = -2, b = -2, c = .5 (b) a = -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 the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree(a) 125 (b) 150 (c) 175 (d) 200 (e) 225Question #4: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:(a) cos(β)(b) sin(β) (c) 1 (d) cos2(β) (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 of a(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11 Question #1: If f(x) = x and g(x) = √x, x≥ 0, what are the solutions of f(x) = g(x) (A) x = 1 (B)x1 = 1, x2 = -1(C)x1 = 1, x2 = 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 of the circle and triangle OAB is equilateralThe radius of the circle is 9(a) π(b) 2 ·π(c) 3 ·π(d) 4 ·π (e) π/2Question #3: What is the probability that someone that throws 2 dice gets a 5 and a6 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 bikes from A to B at a speed of 15 miles/hour while his return speed is 10miles/hour. What is the distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2?(a)2·a /π (b)a / π (c)a / (2·π) (d)a / π (e)a + πQuestion #6: How many integers x are there such that 2x < 100, and at the same time the number 2x + 2 is an integer divisible by both 3 and 2?(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan2(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 could be 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 the value of the sum x + y(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the following casesI. x < -5 II. x > 7 III. x > 01.Three unit circles are arranged so that each touches the other two. Findthe radii of the two circles which touch 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 y = y x.(2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n).4.All coefficients of the polynomial p(x) are non-negative and noneexceed p(0). If p(x) has degree n, show that the coefficient of x n+1 in p(x)2 is at most p(1)2/2.5.What is the maximum possible value for the sum of the absolutevalues of the differences between each pair of n non-negative realnumbers which do not exceed 1?6.AB is a diameter of a circle. X is a point on the circle other than themidpoint of the arc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Show that the line PQ, the tangent at X and the line AB are concurrent.7.Four points on a circle divide it into four arcs. The four midpoints forma quadrilateral. Show that its diagonals are perpendicular.8.Find the smallest positive integer b for which 7 + 7b + 7b2 is a fourthpower.9.Show that there are no positive integers m, n such that 4m(m+1) =n(n+1).10.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet atX. The midpoints of the diagonals AC and BD are Y and Z. Find the area of the triangle XYZ.11. A square has tens digit 7. What is the units digit?12.Find all ordered triples (x, y, z) of real numbers which satisfy thefollowing system of equations:xy = z - x - yxz = y - x - zyz = x - y - z。

SAT数学真题

SAT数学真题1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?A. 2 yearsB. 3 yearsC. 4 yearsD. 5 yearsE. 6 years2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4B. 8C. 12D. 13E. 163. If r = 5 z then 15 z = 3 y, then r =A. yB. 2 yC. 5 yD. 10 yE. 15 y4. What is 35% of a number if 12 is 15% of a number?A. 5B. 12C. 28D. 33E. 625. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?A. $1800B. $1900C. $2000D. $2100E. $22006. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?A. $29,250C. $32,500D. $33,800E. $33,9997. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?A. $24,200B. $28,900C. $35,600D. $37,300E. $39,2008. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 days9. Find 0.12 ÷12A. 100B. 10C. 1D. 0.01E. 0.00110. Divide x5 by x2A. x25B. x10C. x7D. x3E. x2.511. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?A. 0B. 1C. 2.33D. -312. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8A. 2B. 3C. 4D. 5E. 613. In the fraction 3/x, x may not be substituted by which of the following sets?A. {1, 2, 4}B. {-2,-3,-4}C. {1, 3, 7}D. {0, 10, 20}E. {1.8, 4.3}14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?A. She has enough sugar.B. She needs 1/8 of a cup of sugar.C. She needs 3/80 of a cup of sugar.D. She needs 4/19 of a cup of sugar.E. She needs 1/9 of a cup of sugar.15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?A. 10.5%B. 16.7%C. 25%D. 32.3%E. 38%16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?A. 2.59B. 2.86C. 3.08D. 3.3317. There are 8 ounces in a ? pound. How many ounces are in 7 3/4 lbs?A. 12 ouncesB. 86 ouncesC. 119 ouncesD. 124 ouncesE. 138 ounces18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?A. increases by halfB. decreases by halfC. triplesD. doublesE. remains the same19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___A. 1/10B. 1/12C. 1/14D. 1/15E. 1/1620. Of the following units which would be more likely used to measure the amount of water in a bathtub?A. kilogramsB. litersC. millilitersD. centigramsE. volts21. If a match box is 0.17 feet long, what is its length in inchesthe most closely comparable to the following?A. 5 1/16 inch highlighterB. 3 1/8 inch jewelry boxC. 2 3/4 inch lipstickD. 2 3/16 inch staple removerE. 4 1/2 inch calculator22. Which of the following fractions is the equivalent of 0.5%?A. 1/20D. 1/5E. 1/50023. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?A. (17, -2)B. (10, 6)C. (6, 8)D. (-10, 3)E. (-2, -17)24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?A. $4.07B. $3.57C. $6.51D. $2.93E. $5.4125. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?A. degrees CelsiusB. millilitersC. quartsD. kilogramsE. cups26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?A. 3 4/5 feetB. 3 2/3 feetC. 3 3/8 feetD. 3 1/4 feetE. 2 1/2 feet27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?B. $833.60C. $842.35D. $862.50E. $970.2528. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?A. 150/xB. 150xC. 6xD. x/6E. 1500x29. If 6 is 24% of a number, what is 40% of the same number?A. 8B. 10C. 15D. 20E. 2530. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?A. $57B. $90C. $104D. $112E. $12231. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =A. 12B. 25D. 47E. 8633. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directlynorth at 150 mph and the other travels directly west at 200 mph?A. 50 milesB. 100 milesC. 500 milesD. 700 milesE. 1,000 miles34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?A. 0.9WLB. 0.3WLC. 0.1WLD. 9WLE. 3WL35. Find 8.23 x 109A. 0.00000000823B. 0.000000823C. 8.23D. 8230000000E. 82300000000036. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,31537. Which of the following has the least value?A. 0.27B. 1/4C. 3/8D. 2/11E. 11%38. How many boys attended the 1995 convention?A. 358B. 390C. 407D. 540E. 71639. Which year did the same number of boys and girls attend the conference?A. 1995B. 1996C. 1997D. 1998E. None40. Which two years did the least number of boys attend the convention?A. 1995 and 1996B. 1995 and 1998C. 1996 and 1997D. 1997 and 1994E. 1997 and 1998答案:Answer Key1. C2. D3. A4. C5. C6. B7. E8. B9. D10. D11. B12. C13. D14. C15. B16. C17. D18. E19. E20. B21. D22. B23. C24. A25. E26. C27. D28. A29. B30. B31. A32. C33. C34. A35. D36. E37. E38. A39. A40. A。

SAT数学卷子

SAT数学卷⼦1、If 5252+=+x x ,then x can equal which of the following? ( ) (A) 51(B) 54(C) 1(D) 25(E) 5 2、,962-=+x x If what is the value of 34-x ?( )(A)-5(B)-9(C) -15(D) -18(E) -213、,1455==tk and t If what is the value of k ?( ) (A)451(B)91(C) 51(D) 5(E) 9 4、The average of x and y is 5 and the average of y x ,,and z is 8.What is the value of z ?( )(A) 19(B) 14(C) 13(D) 11(E) 35、If ,8212-=x xwhat is the value of x ?( )(A) 2(B) 3(C) 4(D) 5(E) 66、In the xy -plane,the equation of line l is 52+=x y .If line m is the reflection of line l in the axis x -,what is the equation of line m ?( )(A) 52--=x y (B) 52+-=x y (C)52-=x y (D)521--=x y (E)521+-=x y 7、If ()s x a =++12,what is 1+x ,in terms of s and a ? ( ) (A) a s 2(B) 2a s -(C) 2a s +(D) a s -2(E) a s +28、If ,12325+==+y x and x y what is the value of y ?9、Let the operation *and ? be defined for all real numbers a and b as follows: b a b a b a b a 4*,3+=+=? ?,4*)5()5(4y of value the is what y y IF =?1、If 32=y x ,what is the value of y x 23?( ) (A) 31 (B) 32 (C) 1 (D) 23 (E) 492、If1624=x ,then =x ( ) (A) 1 (B) 2 (C) 4 (D) 8 (E) 123、 How much greater than 2-r is 5+r ? ( )(A) 2 (B) 3 (C) 5 (D) 6 (E) 74、?75,4273n of is what is n of IF ( ) (A)70 (B) 45 (C) 30 (D) 185、If and y x 7322=+24=xy ,what is the value of ()2y x +? ( ) (A) 73 (B) 97 (C) 100 (D) 121 (E) 1446、If ,1,52+-x x and 83-x are all integers and 1+x is the median of these integers, which of the following could be a value for x ( )(A) 5 (B) 7 (C) 9 (D) 10 (E) 117、If 02<<y x="" ,which="" of="" the="" following="" is="" greatest="" ?="" (="" )<="" p="" bdsfid="89">。

sat数学考试试题【范本模板】

SAT数学真题精选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 (坐标）plane above, the line contains the points (0,0）and (1，2）. If line M （not shown) contains the point （0,0）and is perpendicular (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 + 45 5。

There are 8 sections of seats in an auditorium. Each section contains at least 150 seats 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）1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?（A）r 〈1 (B) s 〈1 (C) u= 2 (D) r = 0 (E）m = 07。