sat数学满分是多少(附知识要点)
对于计划申请美国大学的高中生来说,SAT考试是一个不可忽视的重要环节。那么,SAT数学满分到底是多少?如何才能在这一部分取得优异成绩?本文将为大家提供全面而深入的解析。 SAT数学部分简介 SAT数学测试是SAT考试的重要组成部分,主要考察学生的代数技巧、几何知识以及数据分析等方面的能力。其内容覆盖了高中阶段的数学知识,分为无计算器部分和有计算器部分。考生需要在规定时间内完成所有的数学题目,准确度和解题速度都是考生取得高分的关键因素。 SAT数学满分是多少? SAT考试总分为1600分,其中数学部分的满分为800分。每一部分的满分均为800分,总共为1600分。在数学部分中,满分800分,意味着需要在58道数学题中全部做对或是通过得分点达到标准分数。获得SAT数学满分对于申请理工科的大学专业尤其重要。 sat数学知识要点 抛物线:y = ax² + bx + c 椭圆:(1)周长公式:L=2πb+4(a-b) 椭圆周长定理:椭圆的周长等于该椭圆短半轴长为半径的圆周长(2πb)加上四倍的该椭圆长半轴长(a)与短半轴长(b)的差。 面积公式 :S=πab 椭圆面积定理:椭圆的面积等于圆周率(π)乘该椭圆长半轴长(a)与短半轴长(b)的乘积。 菱形面积=对角线乘积的一半,即S=(a×b)÷2 三角形面积:(1)已知三角形底a,高h,则S=ah/2(2)已知三角形三边a,b,c,半周长p,则S= √[p(p - a)(p - b)(p - c)] (海伦公式)(3)已知三角形两边a,b,这两边夹角C,则S=absinC/2(4)已知三角形半周长p,内接圆半径r,则S=pr 扇形面积:圆心角为n°,半径为r的扇形面积为(n/360)×π(r^2)如果其顶角采用弧度单位,则可简化为1/2×弧度 ×半径平方。扇形还与三角形有相似之处,上述简化的面积公式亦可看成:1/2×弧长×半径,与三角形面积“1/2×底×高”相似。 梯形面积:[(上底+下底)×高] / 2 矩形面积:长×宽 梯形体积:V=〔S1+S2+√(S1*S2)〕/3*H (V:体积;S1:上表面积;S2:下表面积;H:高) 圆柱体体积:V圆柱=S底×h 长方体体积:V=长×宽×高 正方体体积:V=棱长^3 圆锥体体积:V=1/3×S底×h 勾股定理:a²+b²=c² (a,b,c分别代表直角三角形的勾、股、弦三边之长),其变形 为:b²=c²-a²=(c-a)(c+a)a²=c²-b²=(c-b)(c+b);c²=2ab+(b-a)² 等差数列:1.通项公式:an=a1+(n-1)d2.前n项和公式:Sn=na1+[n(n-1)d]/2或 Sn=[n(a1+an)]/2 等比数列:1.通项公式:an=a1·q^(n-1)2.前n项和公式:当 q= 1时,Sn=na1;当 q≠1 时, Sn=[a1(1-q^n )] /(1-q) 一元一次方程一般形式:ax+b=0(a、b为常数,a≠0) 一元二次方程:1.一般形式:ax^2+bx+c=0(a、b、c为常数,a≠0) 如何才能在SAT数学部分取得满分? 首先,我们必须了解在SAT数学部分取得高分并非一蹴而就,它需要系统的学习、针对性的练习与不断的复习总结。以下是一些有用的策略和技巧: 强化基础知识 在开始备考之前,考生首先应当回顾和掌握所有相关的数学基础知识。确保对代数、几何、三角学和数据分析等领域有一个扎实的基础。这要求考生具备良好的数学逻辑推理能力和解题技巧,并能够灵活应对不同类型的数学问题。 了解考试大纲 熟悉SAT数学部分的考试大纲和题型分布。大纲会详细列出所有考察点,这有助于考生有的放矢地复习,并针对性地进行练习。了解大纲,也意味着能把握考试趋势和命题特点,有效提升应试技巧。 制定备考计划 高效的复习离不开合理的备考计划。根据SAT数学考试的内容,考生需要把学习内容分解到每周甚至每天。有计划地安排学习进程,既包括掌握新知识,也包括对已学知识的复习和巩固。考生应确保在复习过程中均衡地覆盖所有需要掌握的数学领域。 利用高质量参考书和资料 选择合适的学习参考资料对备考SAT数学至关重要。官方指南和真题集是最佳的复习材料,因为它们能最真实地反映考试内容和风格。此外,市面上还有许多优秀的辅导书和在线资源,可以帮**生进行额外的练习和学习。 定期进行模拟测试 通过模拟测试来检验学习效果。定期完成整套SAT数学模拟试卷,不仅有助于考生熟悉考试流程,还能让考生对实际考试的时间压力有所适应。此外,通过模拟测试,考生可以了解自己的强项和弱点,以便进一步的针对性复习。 分析错误和弱点 在每次模拟测试后,仔细分析错误和弱点非常关键。考生应对错误题目进行总结和归纳,理解错误的原因,并寻求正确的解题方法。通过分析弱点,考生可以有针对性地提高解题能力。 培养良好的解题习惯 考生应培养认真审题、积极思考和有条理解题的习惯。在实际解题时,考生应养成列式子、画图示、标注重要信息等好习惯,这样有助于提高解题效率和准确率。 时间管理和应试策略 考虑到SAT数学部分时间限制较为严格,考生需要学会有效地分配解题时间。快速而准确地完成题目是关键,考生可以通过先做简单题目,留出时间处理难题的策略来优化自己的时间管理。 照顾好自己的身体和心理 在备考期间,维持良好的身体状态和积极的心理状态对考试成绩同样重要。考生需要确保充分的睡眠,合理的饮食和适量的运动,让自己保持在最佳的备考状态中。 保持坚定的信心和决心 从长期的复习准备到考试当天,考生必须保持坚定不移的信心和决心。满分并不遥不可及,只要方法得当,加上足够的努力,每个考生都有可能达到这一理想的分数线。 要在SAT数学部分取得满分800分,不只是学习各类数学知识那么简单,还需要考生有针对性的复习,合理的备考计划,以及在考前和考中的应试技巧。每一步都至关重要,每一项细节都不容忽视。只要你跟随上述步骤,坚持不懈,你定会在SAT数学部分获得令人满意的成绩。备战SAT数学,我们不只是要赢得高分,也是在为未来的学术生涯打下坚实的基础。祝每一位考生都能在SAT考试中取得理想成绩!加油!
2023年11月24日 17:38
新sat数学练习题附答案解析(二十一)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(二十一),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1. If 3x – 5 = 16, then x = A. –7 B. 11/3 C. 4 D. 7 E. 18 2. If (x+4)/x =9/7, what is the value of x? A. 3.5 B. 7 C. 14 D. 21 E. 35 3. At a flooring center, you can purchase carpet in one of five styles and in one of 10 colors. How many different style-color combinations are possible at this flooring center? A. 15 B. 36 C. 40 D. 45 E. 50 4. In the xy-plane, a circle has its center at point C (0, 0) and contains the point P (–3, 4). Under the translation that moves point C to (–2, 3), where will point P be located after this translation? A. (–1, 1) B. (1, –1) C. (–3, 2) D. (–4, 5) E. (–5, 7) 5. If f (x)=(2- x)2^ /x+3/5 , what is the value of f(5)? A. 0 B. 1.2 C. 2.4 D. 3.6 E. 4 6. An employee had to take a pay cut of 20%. A while later, she received a pay raise of 25%. Her new salary after the pay raise was what percent of her salary before the pay cut? A. 45% B. 55% C. 80% D. 95% E. 100% Answers:1. D 2. C 3. E 4. E 5. C 6. E 以上就是关于“新sat数学练习题附答案解析(二十一)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:52
新sat数学练习题附答案解析(二十)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(二十),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1.In the xy-plane, line passes through the points and , where . What is the slope of line ? (A) (B) (C) (D) (E) 2.Ten cars containing a total of people passed through a checkpoint. If none of these cars contained more than people, what is the greatest possible number of these cars that could have contained exactly people? Answer Choices (A) One (B) Two (C) Three (D) Four (E) Five 3.The cars in a car service use a total of gallons of gasoline per week. If each of the cars uses the same amount of gasoline, then, at this rate, which of the following represents the number of gallons used by 5 of the cars in 2 weeks? Answer Choices (A) (B) (C) (D) E) 4.Read the following SAT test question and then click on a button to select your answer. If triangle above is congruent to triangle (not shown), which of the following must be the length of one side of triangle ? Answer Choices (A) (B) (C) (D) (E) It cannot be determined from the information given. 5.If the function is defined by , where , for which of the following values of is undefined? Answer Choices (A) None (B) only (C) only (D) and only (E) , , and 6.In the , line is perpendicular to the graph of the function . Line could be the graph of which of the following functions? Answer Choices (A) (B) (C) (D) (E) 7.A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 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) (E) Explanation 1.The correct answer is A Choice (A) is correct. Given two points on a line, the slope of the line can be found by dividing the change in the y-coordinates between the points by the corresponding change in the x-coordinates. Hence, since line passes through the points and , its slope is . 2.The correct answer is D It could not be true that each of the ten cars contained exactly people, as this would give a total of only . If nine of the cars contained exactly people, the remaining car could have no more than people, for a total of only . Continuing in the same way, a pattern develops. If eight of the cars contained exactly people, the remaining two cars could have no more than people each, for a total of only . If seven of the cars contained exactly people, the total number of people could be only . From the pattern, you can see that if four of the cars contained exactly people, and the remaining six cars contained the maximum of people, the total number would be , as given in the question. Therefore, at most four of the ten cars could have contained exactlypeople. 3.The correct answer is E The car service uses a total of gallons of gasoline per week, and each of the cars uses the same amount of gasoline, so each of the cars uses gallons of gasoline per week. Therefore, of the cars use a total of gallons per week. It follows that of the cars use gallons of gasoline in weeks. 4.The correct answer is D Triangle is congruent to triangle , so the lengths of the three sides of triangle are the same as the lengths of the three sides of triangle . Triangle is a - - triangle with hypotenuse of length , so the other two sides of triangle have lengths and . Therefore, the lengths of the sides of triangle must be , , and . Of the choices given, only is one of these values. 5.The correct answer is C If , then . If , then . If , then , which is not defined because division by is undefined. Therefore, of the three values, , , and , the only one for which is undefined is . Thus the correct response is only. 6.The correct answer is B If two lines are perpendicular, the product of their slopes is equal to . The function is in slope-intercept form, so the slope of the graph of is equal to . Therefore, the slope of line must be equal to . The only choice that corresponds to a slope of is . 7.The correct answer is D To 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's name is placed in the lottery times, there are seniors' names. Likewise, there are juniors' names and sophomores' names in the lottery. The probability that a senior's name will be chosen is . 以上就是关于“新sat数学练习题附答案解析(二十)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:50
新sat数学练习题附答案解析(十九)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十九),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1. In a test a student got a mark of 49. His report card showed that he had scored 70 per cent. What was the maximum mark on the test? 2. What is the largest odd number that is a factor of 860 ? 3. A school charity sale raised $4800. One quarter of this was taken to cover expenses. Three quarters of the remainder was given to Charity A and the remainder to Charity B. How much did B receive? (Ignore the dollar sign when entering your answer). 4. A drycleaner charges $2 for up to 3 pounds in weight of clothes, and 30 cents per pound or part thereof up to a maximum weight of 10 pounds per load. What is the cost in dollars of cleaning six and a half pounds of clothes? 5. If x > 0 , and x² - 6x - 7 = 0 , what is the value of x ? 6. The diameter of circle A is one quarter the diameter of circle B. The area of circle B is how many times greater than the area of circle A ? 7. Three apples and five oranges cost 85cents, and five apples and three oranges cost 83 cents. How much will it cost to buy one apple and one orange? 8. A bag contains 2 red, 5 blue and 8 white beads. If one bead is drawn from the bag what is the probablity that it is red or white? 9. The shape above is to be cut out and folded along the dotted lines to form a cubic die. Dots are to be added to faces A, B and C so that the numbers of dots on opposite faces add up to 7. How many dots should appear on face A ? 10. The median of a set of 10 consecutive integers is 3.5. What is the greatest of these 10 integers? 参考答案 1.Correct Answer: 70 Explanation: 49 = 70/100 x maximum mark (49 x 100)/ 70 = maximum = 70 2.Correct Answer: 215 Explanation: Factorize 860 860 = 2 x 430 = 2 x 2 x 215 (No need to go any further because 215 is odd) 3.Correct Answer: 900 Explanation: If ¾ of the remainder went to A, then ¼ of the remainder went to B. The remainder is ¾ of the money raised = ¾ (4800) ¼ x ¾ x 4800 = 3/16 x 4800 = 900 4.Correct Answer: 3.20 Explanation: If you clean 6.5 pounds of clothes you will have to pay for 7 pounds.(That is what ‘per part thereof’ means) The first 3 pounds cost $2; the remaining 4 pounds will cost 4 x .3 dollars = 1.2 Total cost =3.2 5.Correct Answer: 7 Explanation: Factorize the quadratic. (x + 1)(x -7) = 0 x = -1 or 7, but since we are told x > 0, x = 7 6.Correct Answer: 16 Explanation: All circles are similar figures, so we can use the relationship that says if we take the ratio of corresponding linear dimensions (like the radius, the circumference, or corresponding arc), the ratio of the areas will be the square of the linear ratio. The ratio of diameter of circle A to that of circle B = 1: 4 The areas are in the ratio (1)² : (4)² = 1 : 16 Hence circle B is 16 times larger. 7.Correct Answer: 21 Explanation: 3a + 5b = 85 (where a= number of apples, and b = number of oranges) 5a + 3b = 83 Add the pair of simultaneous equations 8a + 8 b = 168 a + b = 21 8.Correct Answer: 2/3 Explanation: The total number of beads is 15 Of these 10 are either red or white So the chance of drawing red or white = 10/15 = 2/3 9.Correct Answer: 2 Explanation: When folded up, if the square with 5 dots is the bottom, then a will be the top. Since opposite faces must add up to 7, A must have 2 dots. 10.Correct Answer: 8 Explanation: The median of a set of integers is the middle number in the ranked series. If there is an even number of terms in the series, the median will be the average of the two middle terms. Here we have ten terms. The median is half-way between 3 and 4 and so we need four integers less than 3 and four integers more than 4 to complete the list. The greatest number will be 4 + 4 = 8. The best way to do these problems if the numbers are small is to write out the list: -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 以上就是关于“新sat数学练习题附答案解析(十九)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:49
新sat数学练习题附答案解析(十八)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十八),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1. On a number line point a has coordinate -4 and point B has coordinate 6. What is the coordinate of point C which is midway between A and B ? 2. 60 per cent of what number is equal to 45 per cent of 80? 3. If the sum of 7 consecutive numbers is 0, what is the greatest of these numbers? 4. How many cubes with volume 8 cubic units can be cut from a cube with a surface area of 96 square units? 5. If ab = 1, bc = 2 and ac = 8, what is the value of abc? 6. Four circles of diameter √2 are placed tangent ot each other as shown. What is the distance AC ? 7. What is the least positive integer k for which 15k is the cube of a number? 8. A factory was owned by three people X, Y and Z, each having an equal share. X sold half his share to Y. Z sold one quarter of his share to Y. What fraction did Y then own? 9. Two people set off by car on a rally and take the same route which is 25 miles long. If A drives at an average speed of 50 miles per hour, and B at an average speed of 60 miles per hour, how much longer in minutes will it take A to cover the course than it takes B ? 10. If f(x) = 3x – 2 and g(x) = 2x + 1. And if f(k) = g(k). What is the value of k? 参考答案: 1.Correct Answer: 1 Explanation: The distance between the points on the number line is 10 units. Mid-way will be five units from either end = -4 + 5 = 1 2.Correct Answer: 60 Explanation: Express in math language 60/100 x n = 45/100 x 80 n = 45 x 80/60 = 60 3.Correct Answer: 3 Explanation: If the sum of a series of numbers is zero, then there must be an equal number of positive and negative numbers on either side of zero. So in this case the series is -3, -2, -1, 0, +1, +2, +3 and the greatest is 3. 4.Correct Answer: 8 Explanation: The number of small cubes will be the volume of the large cube divided by the volume of the small cube. To find the volume of the large cube, divide the surface area by 6, then take the square root of the result: this will give the side of the cube, which can then be cubed to give the volume. 96/6 = 16; side = 4; volume = 4 x 4 x 4 Now divide by the small cube volume (8). The number of cubes is 8. 5.Correct Answer: 4 Explanation: If you multiply all the terms together you will get a²b²c² = 16 Take roots of both sides: abc = 4 6.Correct Answer: 2 Explanation: AC is the diagonal of a square with side = diameter of a circle (sum of two radii). The diagonal can be calculated if you take the side of the square as x, then the diagonal will be x √2. (Because the diagonal is the hypotenuse of a 45-45-90 triangle). In this case the side = √2, and the diagonal = √2 x √2 = 2 7.Correct Answer: 225 Explanation: The prime factors of a cube will be in groups of 3 The prime factors of 15 are 5 x 3 To convert into a cube we need to multiply by 5 x 5 x 3 x 3 = 225 8.Correct Answer: 7/12 Explanation: Each person initially had 1/3 X sold ½ of 1/3 = 1/6 to Y Z sold ¼ of 1/3 = 1/12 to Y Y now owns 1/3 + 1/6 + 1/12 = (4 + 2 + 1)/12 = 7/12 9.Correct Answer: 5 Explanation: Speed = distance/ time; time = distance/speed A takes 25/50 hours (=30 minutes) to drive 25 miles at 50mph B takes 25/60 hours to drive 25 miles at 60mph = (25/60)60 minutes = 25 minutes So A takes 5 minutes longer 10.Correct Answer: 3 Explanation: Find f(k) and g(k) and equate. 3k – 2 = 2k + 1 Solving we have k = 3 This is very easy. If you got it wrong you might need someone to go over the basics of functions with you. 以上就是关于“新sat数学练习题附答案解析(十八)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:43
新sat数学练习题附答案解析(十七)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十七),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1.Addtoand then subtractfrom the sum. Ifis a positive integer, the result must be an integer multiple of (A) (B) (C) (D) (E) 2.A machine can insert letters in envelopes at the rate ofper minute. Another machine can stamp the envelopes at the rate ofper second. How many such stamping machines are needed to keep up withinserting machines of this kind? (A) (B) (C) (D) (E) 3.In the-plane, linepasses through the pointsand. Lineis perpendicular to line. What is the slope of line? (A) (B) (C) (D) (E) 4.If a number is chosen at random from the set, what is the probability that it is a member of the solution set of bothand? (A) (B) (C) (D) (E) 5.The first term of the sequence above is. Which of the following could be the formula for finding theterm of this sequence for any positive integer? (A) (B) (C) (D) (E) 6.Ifpercent ofis greater than, which of the following must be true? (A) (B) (C) (D) (E) 参考答案及解析: 1.The correct answer is B Explanation The mathematical expression given in the question is, which is equivalent to. The expressioncan be factored as. For every positive integer,must be a multiple of. If, then, which is not an integer multiple of,,, or. Therefore, the correct answer is. 2.The correct answer is A Explanation First you can changeminute toseconds so that the ratios are both in envelopes per second. One inserting machine inserts letters at the rate ofperseconds, orper second. Somachines would insertletters per second. Letbe the number of stamping machines needed to keep up withinserting machines. Then, since one machine stampsenvelopes per second,machines stampenvelopes per second. You can write the equation, which gives. 3.The correct answer is B Explanation Linepasses through the pointsand, so the slope of lineis equal to. Linesandare perpendicular, so the slope of lineis equal to the negative reciprocal of the slope of line. Therefore, the slope of lineis. 4.The correct answer is C Explanation Ifand, then. The numbers from the listed set that satisfy these inequalities areand. There are five elements in the listed set, so the probability of a number chosen at random from the set being a member of the solution set of both inequalities is. 5.The correct answer is B Explanation You do not know the value of theterm or theterm of the sequence, but you do know the values of the,, andterms. The correct formula must giveas the value of theterm,as the value of theterm, andas the value of theterm. Choice E,, gives, not, as the value of theterm. Choice A,, gives, not, as the value of theterm. Choice C,, gives, not, as the value of theterm. Choice D,, gives, not, as the value of theterm. This leaves choice B,, which gives the correct values for the,, andterms of the sequence. 6.The correct answer is A Explanation Ifpercent ofis greater than, then. It follows that, and so. 以上就是关于“新sat数学练习题附答案解析(十七)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:38
新sat数学练习题附答案解析(十六)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十六),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1.The circle shown above has center and a radius of length . If the area of the shaded region is , what is the value of ? Answer Choices (A) (B) (C) (D) (E) 2.If, what is the value of ? Answer Choices (A) (B) (C) (D) (E) 3.All numbers divisible by both and are also divisible by which of the following? Answer Choices (A) (B) (C) (D) (E) 4.Ten cars containing a total ofpeople passed through a checkpoint. If none of these cars contained more thanpeople, what is the greatest possible number of these cars that could have contained exactlypeople? Answer Choices (A) One (B) Two (C) Three (D) Four (E) Five 5.In the figure above, which quadrants contain pairs that satisfy the condition ? Answer Choices (A)only (B) and only (C) and only (D) and only (E) , , , and Explanation 1.The correct answer is A In order to find the value of , you should first determine the measure of the angle that is located at point in the right triangle. To determine this angle, you must calculate what fraction of the circle’s area is unshaded. The radius of the circle is and its area is , or . The area of the shaded region is , so the area of the unshaded region must be . Therefore, the fraction of the circle’s area that is unshaded is , or . A circle contains a total of degrees of arc, which means that of degrees, or degrees, is the measure of the angle at point in the unshaded region. Since you now know that two of the three angles in the triangle measuredegrees and degrees and that the sum of the measures of the three angles is always degrees, the third angle must measure degrees. Therefore, . 2.The correct answer is D Both and . The equation cannot be solved for because there are two unknowns. The value of can be found by solving the equation for . It follows that must equal . The value of can now be substituted into the equation , giving . Therefore, must equal . 3.The correct answer is A All numbers divisible by both and are the multiples of and . Since and have no prime factor in common , then the least common multiple of and is equal to their product, namely . Every other multiple of and is divisible by . Thus, if is divisible by a number then all the multiples of and are divisible by that number. Therefore, it is enough to check by which number in the given options is divisible. Only dividesand none of the other do. The answer must be 4.The correct answer is D It could not be true that each of the ten cars contained exactlypeople, as this would give a total of only. If nine of the cars contained exactlypeople, the remaining car could have no more thanpeople, for a total of only. Continuing in the same way, a pattern develops. If eight of the cars contained exactlypeople, the remaining two cars could have no more thanpeople each, for a total of only. If seven of the cars contained exactlypeople, the total number of people could be only. From the pattern, you can see that if four of the cars contained exactlypeople, and the remaining six cars contained the maximum ofpeople, the total number would be, as given in the question. Therefore, at most four of the ten cars could have contained exactly people. 5.The correct answer is C In order for to satisfy , it must be true that and are equal to each other and not equal to zero. An example of such a pair is , which is in quadrant . In quadrant , all the values are negative and all the values are positive, so in quadrant , and cannot be equal. For example, the pair does not satisfy the condition, since , not . In quadrant , the values and the values are both negative, so it is possible for and to be equal. For example, the pair is in quadrant and . In quadrant , and cannot be equal because the values are positive and the values are negative. For example, the pair does not satisfy the condition, since . The quadrants that contain pairs that satisfy the given condition are quadrants and only. 以上就是关于“新sat数学练习题附答案解析(十六)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:31
新sat数学练习题附答案解析(十五)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十五),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following? A. 5 1/16 inch highlighter B. 3 1/8 inch jewelry box C. 2 3/4 inch lipstick D. 2 3/16 inch staple remover E. 4 1/2 inch calculator 22. Which of the following fractions is the equivalent of 0.5%? A. 1/20 B. 1/200 C. 1/2000 D. 1/5 E. 1/500 23. 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. $4.07 B. $3.57 C. $6.51 D. $2.93 E. $5.41 25. 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 Celsius B. milliliters C. quarts D. kilograms E. cups 26. 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 feet B. 3 2/3 feet C. 3 3/8 feet D. 3 1/4 feet E. 2 1/2 feet 27. 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? A. $800.30 B. $833.60 C. $842.35 D. $862.50 E. $970.25 28. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate? A. 150/x B. 150x C. 6x D. x/6 E. 1500x 29. If 6 is 24% of a number, what is 40% of the same number? A. 8 B. 10 C. 15 D. 20 E. 25 30. 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. $57 B. $90 C. $104 D. $112 E. $122 31. 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. 12 B. 25 C. 33 D. 47 E. 86 33. 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 directly north at 150 mph and the other travels directly west at 200 mph? A. 50 miles B. 100 miles C. 500 miles D. 700 miles E. 1,000 miles 34. 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. 0.9WL B. 0.3WL C. 0.1WL D. 9WL E. 3WL 35. Find 8.23 x 109 A. 0.00000000823 B. 0.000000823 C. 8.23 D. 8230000000 E. 823000000000 36. 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. 345 B. 1,035 C. 1,725 D. 3,105 E. 9,315 37. Which of the following has the least value? A. 0.27 B. 1/4 C. 3/8 D. 2/11 E. 11% 38. How many boys attended the 1995 convention? A. 358 B. 390 C. 407 D. 540 E. 716 39. Which year did the same number of boys and girls attend the conference? A. 1995 B. 1996 C. 1997 D. 1998 E. None 40. Which two years did the least number of boys attend the convention? A. 1995 and 1996 B. 1995 and 1998 C. 1996 and 1997 D. 1997 and 1994 E. 1997 and 1998 -------------------------------------------------------- 答案: 21. D22. B23. C24. A25. E26. C27. D28. A29. B30. B31. A32. C33. C34. A35. D36. E37. E38. A39. A40. A 以上就是关于“新sat数学练习题附答案解析(十五)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:20
新sat数学练习题附答案解析(十四)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十四),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest? A. 2 years B. 3 years C. 4 years D. 5 years E. 6 years 2. 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. 4 B. 8 C. 12 D. 13 E. 16 3. If r = 5 z then 15 z = 3 y, then r = A. y B. 2 y C. 5 y D. 10 y E. 15 y 4. What is 35% of a number if 12 is 15% of a number? A. 5 B. 12 C. 28 D. 33 E. 62 5. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price? A. $1800 B. $1900 C. $2000 D. $2100 E. $2200 6. 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. $29,250 B. $31,200 C. $32,500 D. $33,800 E. $33,999 7. 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. $24,200 B. $28,900 C. $35,600 D. $37,300 E. $39,200 8. 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 days B. 1.09 days C. 1.23 days D. 1.65 days E. 1.97 days 9. Find 0.12 ÷12 A. 100 B. 10 C. 1 D. 0.01 E. 0.001 10. Divide x5 by x2 A. x25 B. x10 C. x7 D. x3 E. x2.5 11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number? A. 0 B. 1 C. 2.33 D. -3 E. none of the above 12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8 A. 2 B. 3 C. 4 D. 5 E. 6 13. 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. 2.59 B. 2.86 C. 3.08 D. 3.33 E. 3.67 17. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs? A. 12 ounces B. 86 ounces C. 119 ounces D. 124 ounces E. 138 ounces 18. 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 half B. decreases by half C. triples D. doubles E. remains the same 19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, A. 1/10 B. 1/12 C. 1/14 D. 1/15 E. 1/16 Answer Key1. C2. D3. A4. C5. C6. B7. E8. B9. D10. D11. B12. C13. D14. C15. B16. C17. D18. E19. E20. B 以上就是关于“新sat数学练习题附答案解析(十四)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:18
新sat数学练习题附答案解析(十三)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十三),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 6. What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)? A. 3 B. √31 C. √41 D. 7 E. 9 Correct Answer: C 解析: Sketch a diagram and calculate the distance (hypotenuse of a right triangle) using Pythagoras theorem. Vertical height of triangle = 5 ; horizontal side = 4 ; hypotenuse = √(25 + 16) = √41 7. n is an integer chosen at random from the set {5, 7, 9, 11 } p is chosen at random from the set {2, 6, 10, 14, 18} What is the probability that n + p = 23 ? A. 0.1 B. 0.2 C. 0.25 D. 0.3 E. 0.4 Correct 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 is 2/20 = 1/10 8. 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. 0.75D B. 0.76D C. 0.765D D. 0.775D E. 0.805D Correct 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 9. All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two points in the array without passing through any other point ? A. 2 B. 2√2 C. 3 D. √10 E. √20 Correct 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 from 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 10. If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ? A. 9 B. 10 C. 11 D. 12 E. 13 Correct Answer: D 解析: If the radius is 7, the circumference = 14π. The length of the arc is 100/360 of the circumference. Taking π as 22/7 we get. (100 x 14 x 22) / (360 x 7) which reduces to 440/ 36 = 12.22 (i.e. approx. 12) 以上就是关于“新sat数学练习题附答案解析(十三)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:13
新sat数学练习题附答案解析(十二)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十二),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 1. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value? A. f(-1) B. f(0) C. f(1) D. f(3) E. f(4) 2. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ? A. 2.25 B. 3 C. 4 D. 4.5 E. 6 3. If n ≠ 0, which of the following must be greater than n? I 2n II n² III 2 - n A. I only B. II only C. I and II only D. II and III only E. None 4. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce? A. 20 B. 15 C. 8 D. 5 E. 3.2 5. n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is A. 14 B. 18 C. 20 D. 30 E. 50 答案: 1.Correct Answer: D Explanation: You can solve this by back solving – substitute the answer choices in the expression and see which gives the greatest value.sat A (-1 + 2) / (-1-2) = -2 / 2 = -1; B (0 + 2) / (0-2) = 2/ -2 = -1; C (1 + 2) / (1-2) = 3/-1 = -3; D (3 + 2) / (3-2) = 5/1 = 5; E (4+ 2) / (4-2) = 6/2 = 3 If you had just chosen the largest value for x you would have been wrong. So although it looks a long method, it is actually quick and accurate since the numbers are really simple and you can do the math in your head. 2.Correct Answer: D Explanation: (Total area of square - sum of the areas of triangles ADE and DCF) will give the area of the quadrilateral 9 - (2 x ½ x 3 x 1.5) = 4.5 3.Correct Answer: E Explanation: Remember that n could be positive negative or a fraction. Try out a few cases: In case I, if n is -1, then 2n is less than n. In case II, if n is a fraction such as ½ then n2 will be less than n. In case III, if n is 2, then 2-n = 0, which is less than n. Therefore, none of the choices must be greater than n 4.Correct Answer: C Explanation: If after each bounce it reaches 2/5 of the previous height, then after the second bounce it will reach 2/5 x 125. After the third it will reach 2/5 x 2/5 x 125. After the fourth it will reach 2/5 x 2/5 x 2/5 x 125. This cancels down to 2 x 2 x 2 = 8 5.Correct Answer: A Explanation: The smallest value for n such that 5n is a square is 5. 75np can now be written as 75 x 5 x p. This gives prime factors.... 3 x 5 x 5 x 5 x p To make the expression a perfect cube, p will have to have factors 3 x 3 , and hence p =9 n + p = 5 + 9 = 14 以上就是关于“新sat数学练习题附答案解析(十二)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年09月06日 17:08
2023sat数学理解高频词汇整理(一)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来2023sat数学理解高频词汇整理(一),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! sat数学高频词汇 1、有关方程和不等式 algebraic term 代数项 like terms,similar terms 同类项 numerical coefficient 数字系数 literal coefficient 字母系数 inequality 不等式 triangle inequality 三角不等式 range 值域 original equation 原方程 linear equation with one unknown 一元一次等式 linear inequality with one unknown 一元一次不等式 equivalent equation 同解方程 linear equation 线性方程 2、有关线性函数与函数图像 function 函数 coordinate system 坐标系 rectangular coordinate 直角坐标系 origin 原点 abscissa 横坐标 ordinate 纵坐标 numberline 数轴 quadrant 象限 slope 斜率 complex plane 复平面 linear function 一次函数 inverse proportional function 反比例函数 quadratic function 二次函数 parabola 抛物线 proportional function 正比例函数 exponential function 指数函数 以上就是关于“2023sat数学理解高频词汇整理(一)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年08月29日 12:22
新sat数学练习题附答案解析(十一)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十一),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 一、Math Calculator带计算器的数学 1、1⁄8+1⁄10=a⁄b 在上面的等式中,如果a和b是正整数并且a⁄b最简单的简化形式是,a的值是多少? (A) 2 (B)9 (C) 18 (D) 40 答案:B。 解析:8和10都是因数的最小数是40。将分数转换为分母40为:5⁄40+4⁄40=9⁄40。9和40没有共同的因子,所以分数不能减少。中代替a的数字a⁄b是9,所以答案是(B)。 2、某个矩形的长度是宽度的两倍。如果矩形的面积是128,那么矩形的长度是多少? (A) 4 (B)8 (C) 16 (D) 21 答案:C。 解析:插入答案。如果你从(B)开始,长度是8,宽度是它的一半,即4。面积是长×宽。这个长方形的面积是8 × 4,和128差远了。删除(A)和(B ),因为两者都太小。试试(C):如果长度是16,宽度是8。那么,128 = 16 × 8。(D)中的数字太大,会给出一个怪异的分数,所以(C)是正确的。或者,写一个等式。等式是area = w × 2w。所以,128 = 2w2。除以2得到64 = w2。取两边的平方根求w = 8。长度是这个宽度的两倍,所以长度= 2 × 8 = 16,答案是(C)。 3、设函数f定义为f(x) = x2- c,其中c是常数。如果f(2)= 6,c的值是多少? (A) -10 (B)-2 (C) 0 (D) 2 答案:(B) 解析:首先把你所知道的插入给定的函数中。如果f(x) = x2- c,f(–2)= 6,然后在函数中为x代入–2:f(–2)=(–2)2–c .求解并用6:6 = 4–c代替f(–2);2 =–c;c =–2。 二、Math No Calculator不带计算器的数学 1、如果一个长方形游泳池的容积为16,500立方英尺,统一深度为10英尺,长度为75英尺,那么游泳池的宽度是多少英尺? (A) 22 (B) 26 (C) 32 (D) 110 答案:A 解析:对于这个问题,你需要知道体积等于长×宽×高。你知道体积是16500,深度(或高度)是10,长度是75。就把那些数字放到公式里:16500 = 75×w×10。用你的计算器算出w,等于22,所以选择(A。 2、钉子以8盎司和20盎司的盒子出售。如果售出50盒钉子,售出的钉子总重量不到600盎司,那么20盎司一盒的钉子最大可能售出数量是多少? (A) 33 (B) 25 (C) 17 (D) 16 答案:D 解析:要解决这个问题,请插入答案选项。该问题要求尽可能多的20盎司盒子。从(B)开始。如果有25个20盎司的盒子,那么就有25个8盎司的盒子,因为总共购买了50个盒子。在这种情况下,25个20盎司的盒子重500盎司,25个8盎司的盒子重200盎司;总共是700盎司。这太大了,因为问题说总重量不到600。如果(B)太大,(A)也一定太大;排除两个答案。如果你尝试(C),总重量是604盎司,还是太大了。所以答案一定是(D)。 3、一家香料店的老板从经销商d处购买3磅肉桂、肉豆蔻、姜和丁香,然后她以每盎司2美元的价格出售所有的香料。她的总利润是多少,以美元计? (1磅= 16盎司) (A) $192 (B) $282 (C) $384 (D) $486 答案:B 解析: 肉桂:8×3 = 24美元 肉豆蔻:9 × 3美元= 27美元 金吉儿:7×3 = 21美元 丁香:10×3 = 30美元 所以她总共支付了24 + 27 + 21 + 30,也就是102美元买了12磅香料。然后她每瓶卖香料盎司,所以你得先算出她有多少盎司的香料。如果1磅是16盎司,那么12磅就是12 × 16,即192盎司。她以每盎司2美元的价格出售所有香料,因此她赚了192×2美元,即384美元。要算出她的利润,从她卖香料的收入中减去她买香料的钱:384美元-102美元= 282美元,(B)。 以上就是关于“新sat数学练习题附答案解析(十一)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年08月14日 14:10
新sat数学练习题附答案解析(九)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(九),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! If f(x) = x2 – 3, where x is an integer, which of the following could be a value of f(x)? I 6 II 0 III -6 A. I only B. I and II only C. II and III only D. I and III only E. I, II and III Correct Answer: A 解析: Choice I is correct because f(x) = 6 when x=3. Choice II is incorrect because to make f(x) = 0, x2 would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x) = 0, x2 would have to be –3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3) 2. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200? A. 48 B. 49 C. 50 D. 51 E. 52 Correct Answer: C 解析: 1 < 4n + 7 < 200. n can be 0, or -1. n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1. The largest value for n will be an integer < (200 - 7) /4. 193/4 = 48.25, hence 48. The number of integers between -1 and 48 inclusive is 50 以上就是关于“新sat数学练习题附答案解析(九)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年08月14日 13:47
新sat数学练习题附答案解析(十)
为了帮助大家高效备考sat,新东方在线sat考试网为大家带来新sat数学练习题附答案解析(十),希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道! 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 11 II 1 III 7 A. I only B. II only C. I and II only D. II and III only E. I, II, or III. Correct Answer: 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 5√5 = A. 0.05 B. 0.25 C. 0.5 D. 2.5 E. 25 Correct Answer: B 解析: We can write the statement mathematically, using x to mean ‘of’ and /100 for ‘per cent’. So ( √5/100) x 5√5 = 5 x 5 /100 = 0.25 3. If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero? A. P B. Q C. R D. S E. T Correct Answer: D 解析: If pqr = 1, none 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) 以上就是关于“新sat数学练习题附答案解析(十)”的内容,如果同学们还需要更多sat备考资料,可添加下方助老师微信免费获取美本考试资料大礼包!
2023年08月14日 12:18
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