sat數(shù)學試習題

1、 SAT數(shù)學題分成了選擇題和計算題，相對于SAT數(shù)學選擇題，答案還有一些提示的作用，SAT數(shù)學計算題就需要大家自己進行解答了。下面為大家推薦的這道SAT數(shù)學計算題是非常典型的代數(shù)方程類的題目，大家一起來看看吧。 What value of satisfies both of the equations above?The correct answer is1/2 or .5ExplanationDifficulty: Medium Since , the value of is either or . &

2、#160;                 OR                     The two values of that satisfy the first equation are a

3、nd .Since , the value of is either or .              OR                      The two values of&

4、#160;that satisfy the second equation are and .You are asked to find the value of that satisfies both equations. That value is . The answer can be entered in the grid as or .下面是兩道SAT數(shù)學練習題，都是選擇題，后面附有答案及其解析。SAT數(shù)學練習題可以讓大家更快更好的了解SAT數(shù)學考試的出題方式以及應對方式。下面是詳細內(nèi)容，我們一起來看一下這些SAT數(shù)學練習題

5、的吧。1、 Cone A has volume 24. When its radius and height are multiplied by the same factor, the cones surface area doubles. What is Cone As new volume?(A)(B)48(C)(D)96(E)Not enough information to tell2、 Arectangle stands so that its 6 inch side lies flat against the ground. If the rectangle is rotated

6、 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)144ÏAnswers1、 CThe formula for a cones surface area is r2 + rl. A cones volume is 1/ 3r2h. So if the dimensions of a cone are multiplied by the same facto

7、r, a,then its surface area multiplies by the square of that factor. If the dimensions of a cone are multiplied by the same factor, the volume becomes multiplied by the cube of that factor:In general, for solids, if each dimension of a cone is multiplied by the same factor, the solids surface area is

8、 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 ofThus, the cones volume is multiplied by a factor ofCone As new volume is 2、 EIf the rectangle is rotated about a side

9、 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數(shù)學題(拋物線)天道留學  時間：2011-08-26點擊：26次下面是一道關于拋物線的SAT數(shù)學題及其解法的內(nèi)容，非常詳細。SAT題中，拋物線是必考的一類，雖然中學課程都有所涉及，還是相對比較抽象，尤其是在理解SAT數(shù)學題的表達

10、方式上。下面我們來看看這道關于拋物線的SAT數(shù)學題吧。       Read the following SAT test question and then click on a button to select your answer. The quadratic functionis graphed in the-plane above. Iffor all values of, which of the following could be the coordinates of pointAnswer Choices

11、(A) (B) (C) (D) (E) The correct answer is CExplanationThe fact thatfor all values ofmeans that the pointis the maximum of the quadratic function, somust be the vertex of the parabola. The parabola intersects the-axis at the pointsand, somust be halfway betweenand. Therefore,

12、. Of the choices, the only one with-coordinate equal tois. Therefore,could be the coordinates of point.1. What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)A. 3B. 31C. 41D. 7E. 9Correct Answer: C解析:Sketch a diagram and calculate the distance (hypotenuse of a

13、 right triangle) using Pythagoras theorem. Vertical height of triangle = 5 ; horizontal side = 4 ; hypotenuse = (25 + 16) = 412. n is an integer chosen at random from the set5, 7, 9, 11 p is chosen at random from the set2, 6, 10, 14, 18What is the probability that n + p = 23 A. 0.1B. 0.2C. 0.25

14、D. 0.3E. 0.4Correct Answer: A解析:Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs. Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14). This means that the probability of getting a sum of 23

15、is 2/20 = 1/103. A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D A. 0.75DB. 0.76DC. 0.765DD. 0.775DE. 0.805DCor

16、rect Answer: C解析:If the price is reduced by 15 %, then the new price will be 0.85D. If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D 4. All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line s

17、egment that can be drawn joining any two points in the array without passing through any other point A. 2B. 22C. 3D. 10E. 20Correct Answer: E解析:The longest line segment that can be drawn without passing through any dots other than those at the beginning and end of the segment, such a line could go f

18、rom the middle dot in the top row to either the bottom left or right dot. In any case the segment will be the hypotenuse of a right triangle with sides 2 and 4. Using Pythagoras theorem the hypotenuse will be (2 ² + 4 ² ) = 20 5. If the radius of the circle with centre O is 7 and the

19、measure of angle AOB is 100, what is the best approximation to the length of arc AB A. 9B. 10C. 11D. 12E. 13Correct Answer: D解析:If the radius is 7, the circumference = 14. The length of the arc is 100/360 of the circumference. Taking as 22/7 we get. (100 x 14 x 22) / (360 x 7) which reduces to 440/

20、36 = 12.22 (i.e. approx. 12)1、At Central High School, the math club has members and the chess club hasmembers. If a total of students belong to only one of the two clubs, how many students belong to both clubs? Answer Choices(A)  (B)  (C)     (D

21、) (E) The correct answer is CExplanationLet stand for the number of students who belong to both clubs. The members of the math club can be broken down into two groups: those who are in both clubs (there are students in this category) and those who are in the math club only (

22、there are students in this category).The members of the chess club can also be broken down into two groups: students who are in both clubs and students who are in the chess club only. Since a total of students belong to only one of the two clubs, you know that . So

23、lving this equation gives , so students belong to both clubs。2、If is divisible by , , and , which of the following is also divisible by these numbers? Answer Choices (A)  (B)  (C)  (D)  (E)  The correct answer

24、is DExplanationSince is divisible by , , and , must be a multiple of , as is the least common multiple of , , and . Some multiples of are , , , , and .If you add two multiples of , the sum will also be a multiple of

25、 . For example, and are multiples of and their sum, , is also a multiple of . If you add a multiple of to a number that is not a multiple of , the sum will not be a multiple of . For example, is a multiple of and is not. Their sum,

26、0;, is not a multiple of . The question asks which answer choice is divisible by , , and  that is, which answer choice is a multiple of . All the answer choices are in the form of "plus a number." Only choice (D), , has added to a multiple of .

27、The sum ofand is also a multiple of, so the correct answer is choice (D).3、In an solution of water and alcohol, the ratio by mass of water to alcohol is to. If grams of a solution consisting of grams water for each gram of alcohol is added to the solution, what fraction

28、 by mass of the new solution is alcohol? Answer Choices(A)  (B)  (C)  (D)  (E)  The correct answer is BExplanationTo find what fraction by mass of the new solution is alcohol, you can find how many grams of alcohol are in the final solution of&#

29、160;grams. Since the solution is part alcohol to parts water, it is alcohol. So it contains grams of alcohol. Similarly, the solution isalcohol by mass, so it contains grams of alcohol. Thus, the final 20-gram solution contains grams of alcohol, so , or&#

30、160;, of it is alcohol.1. Of the following, which is greater than A. 2/5B. 4/7C. 4/9D. 5/11E. 6/132. If an object travels at five feet per second, how many feet does it travel in one hour?A. 30B. 300C. 720D. 1800E. 180003. What is the average (arithmetic mean) of all the multiples of ten from 10 to

31、190 inclusive?A. 90B. 95C. 100D. 105E. 1104. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?A. 48B. 32C. 24D. 18E. 125. In a class of 78 students 41 are taking French, 22 are taking German and 9 students are taking both Fre

32、nch and German. How many students are not enrolled in either course?A. 6B. 15C. 24D. 33E. 541.Correct Answer: BExplanation:One way to deal with fractions is to convert them all to decimals. (Using your calculator, divide the numerator by the denominator).In this case all you would need to do is to s

33、ee which is greater than 0.5.Otherwise to see which is greater than , double the numerator and see if the result is greater than the denominator. In B, the correct answer, doubling the numerator gives us 8, which is bigger than 7.2.Correct Answer: EExplanation:If an object travels at 5 feet per seco

34、nd it covers 5x60 feet in one minute, and 5x60x60 feet in one hour. Answer = 18000 (E)3.Correct Answer: CExplanation:You could add up all the multiples of 10 (10 + 20 + 30 .+190), and divide by the number of terms (19). Or you could realize that the average of an evenly spaced series of numbers is e

35、qual to the value of the middle term (or the average of the two middle terms if there are an even number of terms). The middle term out of 19 is the tenth term in the series = 100.4.Correct Answer: AExplanation:If you double the sides of a cube, the ratio of the surface areas of the old and new cube

36、s will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.5.Correct Answer: CExplanation:You could solve this by drawing a Venn diagram. A simpler way is to realize that you can

37、subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither78 = (41-9) + (22-9) + 9 + neither.Not enrolled students = 24練習一下吧，不是很難。1

38、. What is the sum of all the positive integer factors of 12 2. The average IQ of 4 people is 110. If three people each have an IQ of 105, what is the IQ of the fourth person 3. Of 60 students in a class 2/3 are girls, and 2/5 of the class are taking music lessons. What is the maximum number of girls

39、 that are not taking music lessons?4. If 2 n + 1 = 8, what is the value of n 5. In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score o

40、f 35, how many wrong answers did he give? 6. Family 1 comprising mother, father and son are to be seated at a table with family 2 comprising mother, father and daughter. The layout of the table is shown in the diagram. F represents one of the fathers and M represents one of the mothers. X repre

41、sents any family member but with the condition that a male family member must sit opposite a female of the other family. How many different seating plans are possible?1. 145 300 610 1230In the above sequence every term after the first is formed by multiplying by x and then adding y, where x and y ar

42、e positive integers. What is the value of x + y?2. A confectioner has 500 mint, 500 orange and 500 strawberry flavored sweets. He wishes to make packets containing 10 mint, 5 orange and 5 strawberry sweets. What is the maximum number of packets of this type he can make?3. If S is the sum of 8,6,4,2

43、and x, what must be the value of x for x to equal 1/5 S 4. 25 per cent of 600 is equal to 15 per cent of what number?5. What is the maximum number of points of intersection of four distinct lines in a plane?6. If one edge of a 6-inch ruler is to be marked in 1/10 inch units, how many marks will ther

44、e be on the edge including the 0 and 6 inch marks? 7. If the area of the right triangle above is 72, what is the value of x?8. Given that the sum of the odd integers from 1 to 99 inclusive is 2500, what is the sum of the even integers from 2 to 100 inclusive?The projected sales volume of a vide

45、o game cartridge is given by the function where is the number of cartridges sold, in thousands; is the price per cartridge, in dollars; and is a constant. If according to the projections, cartridges are sold at per cartridge, how many cartridges will be sold at per

46、 cartridge? Answer Choices(A)  (B)  (C)  (D)  (E)  The correct answer is CExplanationDifficulty: MediumFor cartridges sold at per cartridge, (since is the number of cartridges sold, in thousands) and . Substituting into

47、the equation yields        .Solving this equation for yields                     .Sinceis a constant, the function can be written as . To determi

48、ne how many cartridges will be sold at per cartridge, you need to evaluate . Since is given in thousands, there will be cartridges sold at per cartridge.A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 

49、;seniors, juniors, and sophomores who applied. Each senior's name is placed in the lottery times; each junior's name, times; and each sophomore's name,time. What is the probability that a senior's name will be chosen?Answer Choices(A) (B) (C) (D)

50、60;(E) The correct answer is DExplanationDifficulty: HardTo determine the probability that a senior's name will be chosen, you must determine the total number of seniors' names that are in the lottery and divide this number by the total number of names in the lottery. Since each senior&

51、#39;s name is placed in the lotterytimes, there areseniors' names. Likewise, there arejuniors' names andsophomores' names in the lottery. The probability that a senior's name will be chosen is.Which of the following inequalities is graphed below?(A)y > 2x 2(B)y 2x 2(C)y < 2x 2(

52、D)y > x 2(D)y > x 2Correct Choice：AExplanation：The slope of the line pictured is 126 = 2. The y-intercept of the line pictured is 2. So the equation of the line pictured is y = 2x 2. This leaves three choices. The line in the picture is dotted; this means that the inequality is either < or

53、>, not or . Now we have two choices left.Because the region to the right and above is shaded, > is the correct inequality, but just to make sure, plug in a point or two. In this case, try the origin, (0,0). It is in the shaded region, and must therefore satisfy the inequality. Which inequality

54、 does is satisfy It satisfies y > 2x 2, so this is the correct choice.1. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?I 11II 1III 7A. I onlyB. II onlyC. I and II onlyD. II and III onlyE. I, II, or III.Correct Ans

55、wer: E解析:Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11, but anywhere in between is possible.2. 5 percent of 55 =A. 0.

56、05B. 0.25C. 0.5D. 2.5E. 25Correct Answer: B解析:We can write the statement mathematically, using x to mean of and /100 for per cent. So ( 5/100) x 55 = 5 x 5 /100 = 0.253. If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?A. PB. QC. RD. SE. TCorrect Answer: D解析:4.If pqr = 1, none

57、 of these variable can be zero. Since spr = 0 , and since p and r are not zero, s must be zero. (Note that although rst = 0, and so either s or t must be zero, this is not sufficient to state which must be zero)A. 1/5B. 6/5C. 63D. 64 / 5E. 64Correct Answer: E解析:65 = 64x 6(64 x 6) - 64 = 64(6 - 1) =

58、64 x 5 Now, dividing by 5 will give us 645. -20 , -16 , -12 , -8 .In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?A. 0B. 200C. 440D. 668E. 762Correct Answer: E解析:All terms in the sequence will be multip

59、les of 4. 762 is not a multiple of 4。Mathematics > Standard Multiple ChoiceRead the following SAT test question and then click on a button to select your answer.If the length and width of rectangle are percent less and percent less, respectively, than the length and width of rectan

60、gle , the area of is equal to what percent of the area of Answer Choices(A)  (B)  (C)  (D)  (E)  The correct answer is AExplanationLet and represent the length and width, respectively, of rectangle . Then and r

61、epresent the length and width, respectively, of rectangle . Simplifying and gives and for the length and width, respectively, of rectangle . The area of rectangle is . The area of rectangle is , or . Therefore, the area of rectangle is percent of the area of rectangle  下面為大家提供一些和這些SAT官方每日一題相似的題目，供大家練習：       In the xy-coordinate (