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GMAT数学词汇精选
A.算术

1.整数

|integer |整数 |
|even |偶数 |
|odd |奇数 |
|divisor |除数 |
|real number |实数 |
|positive whole number |正整数 |
|negative whole number |负整数 |
|consecutive integer |连续的整数 |
|quotient |商 |
|multiple |倍数 |
|remainder |余数 |
|prime number |质数,素数 |
|prime factor |质因子,质因数 |
|composite number |合数 |

2.分数

|common factor |公因子 |
|reciprocal/inverse |倒数 |
|mixed number |带分数 |
|improper fraction |假分数 |
|proper fraction |真分数 |
|vulgar fraction/common fraction |普通分数 |
|simple fraction |简分数 |
|complex fraction |繁分数 |

3.小数

|decimal system |十进制 |
|digit |位 |
|units digit |个位数 |
|tens digit |十位数 |
|tenths unit |十分位 |
|3-digit number |三位数 |
|decimal point |小数点 |
|decimal fraction |纯小数 |
|infinite decimal |无穷小数 |
|recurring decimal |循环小数 |

4.实数

|absolute value |绝对值 |
|nonzero number |非零数 |
|natural number |自然数 |
|positive number |正数 |
|negative number |负数 |
|nonnegative |非负的 |
|rational |有理数 |
|irrational(number) |无理数 |

5.比例

|common ratio |公比 |
|direct proportion |正比 |
|percent |百分比 |

6.幂和根

|product |乘积 |
|base/power |底数/指数 |
|square root |平方根 |
|cube root |立方根 |
|common logarithm |常用对数 |
|radical sign/root sign |根号 |
|cardinal |基数 |
|ordinal |序数 |

7.集合

|subset |子集 |
|union |合集,并集 |
|intersection |交集 |
|proper subset |真子集 |
|solution set |解集 |

8.描述统计学

|average |平均数 |
|median |中数 |
|mode |众数(在一系列数中出现最多的数) |
|arithmetic mean |算术平均数 |
|weighted average |加权平均数 |
|geometric mean |几何平均数 |
|maximum |最大值 |
|minimum |最小值 |
|range |值域(一系列数中最大值减最小值) |
|dispersion |差量,离差 |
|standard deviation |标准方差 |
|distribution |(频数或频率)分布 |
|frequency distribution |频数分布 |
|normal distribution |正态分布 |

9.计算方法

|factorial notation |阶乘 |
|permutations |排列 |
|combination |组合 |

10.数学运算

|add/plus |加 |
|subtract/minus |减 |
|multiply/times |乘 |
|divide |除 |
|difference |差 |
|sum |和 |
|total |1总数(用在加法中,相当于+); |
| |2总计(用于减法中,相当于-) |
|division |1除;2部分 |
|divisible |可被整除的 |
|divided evenly |被整除 |
|dividend |被除数 |

B.代数式、方程及不等式

|coefficient |系数 |
|numerical coefficient |数字系数 |
|literal coefficient |字母系数 |
|term |项 |
|constant term |常数项 |
|quadratic |二次方程 |
|equivalent equation |同解方程,等价方程 |
|linear equation |线性方程 |
|solution |(方程的)解 |
|inequality |不等式 |
|expression |表达式 |
|linear |一次的,线性的 |
|factorization |因数分解 |
|function |函数 |
|trigonometric function |三角函数 |
|inverse function |反函数 |
|complementary function |余函数 |
|variable |变量 |
|domain |域 |
|sequence |数列 |
|arithmetic progression |等差数列 |
|geometric progression |等比数列 |

C.几何

1.直线和垂线

|a line segment |线段 |
|endpoint |端点 |
|midpoint |中点 |
|a right angle |直角 |
|perpendicular |垂线 |
|perpendicular lines |垂直线 |
|perpendicular bisector |垂直平分线 |
|parallel lines |平行线 |
|bisect |平分 |

2.相交线和角

|vertical angle |对顶角 |
|a straight line |直线 |
|acute angle |锐角 |
|obtuse angle |钝角 |
|vertex angle |顶角 |
|round angle |周角 |
|straight angle |平角 |
|included angle |夹角 |
|alternate angle |内错角 |
|interior angle |内角 |
|central angle |圆心角 |
|exterior angle |外角 |
|supplementary angle |补角 |
|complementary angle |余角 |
|adjacent angle |邻角 |
|angle bisector |角平分线 |
|diagonal |对角线 |
|intersect |相交 |

3.四边形和多边形

|quadrilateral |四边形 |
|pentagon |五边形 |
|hexagon |六边形 |
|heptagon |七边形 |
|octagon |八边形 |
|nonagon |九边形 |
|decagon |十边形 |
|polygon |多边形 |
|multilateral |多边的 |
|parallelogram |平行四边形 |
|equilateral |等边形 |
|square |正方形 |
|rectangle |长方形 |
|regular polygon |正多边形 |
|rhombus |菱形 |
|trapezoid |梯形 |
|congruent |全等的 |

4.三角形

|isosceles triangle |等腰三角形 |
|equilateral triangle |等边三角形 |
|scalene triangle |不等边三角形 |
|right triangle |直角三角形 |
|oblique |斜三角形 |
|inscribed triangle |内接三角形 |
|hypotenuse |斜边 |
|leg |直角边 |
|included side |夹边 |
|arm |直角三角形的股 |
|median of a triangle |三角形的中线 |
|opposite |直角三角形中的对边 |
|altitude |(三角形的)高 |
|vertex |顶点 |
|base |底 |

5.圆

|circle |圆形 |
|semicircle |半圆 |
|concentric circles |同心圆 |
|cross section |横截面 |
|center of a circle |圆心 |
|chord |弦 |
|diameter |直径 |
|radius |半径 |
|circumference |圆周长 |
|arc |弧 |
|surface area |表面积 |
|radian |弧度(弧长/半径) |
|segment of a circle |弧形 |
|point of tangency |切点 |
|tangent |正切 |
|inscribe |内切,内接 |
|circumscribe |外切,外接 |

6.长方体和圆柱体

|edge |边 |
|vertex |顶点 |
|cube |立方体 |
|rectangular solid |长方体 |
|length |长 |
|width |宽 |
|altitude |高 |
|depth |深度 |
|regular solid/regular polyhedron |正多面体 |
|cylinder |圆柱体 |
|cone |圆锥 |
|sphere |球体 |
|pyramid |角锥 |
|volume |体积 |
|dimension |维数 |

7.坐标几何

|coordinate plane |坐标平面 |
|abscissa |横坐标 |
|ordinate |纵坐标 |
|number line |数轴 |
|coordinate system |坐标系 |
|rectangular coordinate |直角坐标系 |
|x-axis |X轴 |
|origin |原点 |
|quadrant |象限 |
|slope |斜率 |
|intercept |截距 |
|a unique solution |惟一解 |
|no solution |无解 |
|parabola |抛物线 |

E.句型

|The ratio of A to B is … |A比B(A/B) |
|A is a divisor of B |A是B的除数(约数)(B/A) |
|A divided by B |A/B |
|A divided into B |B/A |
|Twice as many A as B |A是B的两倍 |
|A is 20% more than B |(A-B)/B=20% |
|A is 20% less than B |(B-A)/B=20% |
|no less than |大于等于 |
|no more than |小于等于 |
|is equal to |等于 |
|round to |四舍五入 |
|to the nearest |四舍五入 |
|is parallel to |平行 |
|is perpendicular to |垂直 |
|closest approximation |最相近似的 |

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...Breaking down a Long GMATPrep SC problem A student recently asked me what they should do when faced with Sentence Correction problems containing very long underlines and a “jumble” in the answer choices. Many sentence correction questions can easily be scanned vertically, in order to find differences among the answers. But in some problems, major parts of the sentence move around and the basic structure changes (for instance, an independent clause becomes dependent and vice versa). If you’re a Manhattan GMAT student, we would classify these kinds of questions as ones for which the “splits” are more challenging to identify. This week and next we’re going to analyze a couple of GMATPrep^ Sentence Correction questions that possess these characteristics. (Note: click here to read about the general process of attacking Sentence Correction questions; the techniques we discuss in this current article are to be used only when necessary.) Here’s today’s problem; set your timer for 1 minute and 15 seconds and go! More than 300 rivers drain into Siberia’s Lake Baikal, which holds 20 percent of the world’s fresh water, more than all the North American Great Lakes combined. (A) More than 300 rivers drain into Siberia’s Lake Baikal, which holds 20 percent of the world’s fresh water, more than all the North American Great Lakes combined. (B) With 20 percent of the world’s fresh water, that is more than all the North American Great Lakes combined, Siberia’s Lake Baikal has more than 300...

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...GMAT数学电子讲义 主讲:王 燚 欢迎使用新东方在线电子教材 [pic] GMAT数学备考关键词 一、知识点:准确掌握 二、词汇、表达法:读懂题目 三、熟练:平均两分钟一道题 考试相关问题 一、时间与题量 二、题型 三、机经与换题库 四、其它 If a and b are positive integers such that a – b and a/b are both even integers, which of the following must be an odd integer? (A) a/2 (B) b/2 (C)(a+b)/2 (D) (a+2)/2 (E) (b+2)/2 If M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M? (A) 600 (B)700 (C) 900 (D) 2,100 (E) 4,900 复习注意事项 *战略上重视 *初等数学的思维 *解法力求稳妥清晰 *把握好DS题型 *熟练重于技巧 推荐复习步骤 *知识点查缺补漏 *背熟词汇 *复习课上所学 *OG,及其它相关资料 *机经:www.chasedream.com 第一章 算术 1. integer (whole number): 整数 * positive integer:正整数,从1开始,不包括0。 2. odd & even number 奇数与偶数 * 凡整数均具有奇偶性,如-1是奇数,0是偶数。 * 奇+奇=偶,奇+偶=奇… 若干个整数相乘,除非都是奇数,其乘积才会是奇数… 例: If a and b are positive integers such that a – b and [pic] are both even integers, which of the following must be an odd integer? (A)[pic] (B)[pic] (C) [pic] (D) [pic] (E) [pic] 3. prime number & composite number 质数与合数 * A prime number is a positive integer that has exactly two different positive divisors,1 and itself. * A composite number is a positive integer greater than 1 that has more than two divisors. * The numbers 1 is neither prime nor composite, 2 is the only even prime number. 4. factor(divisor) & prime factor 因子和质因子 * 一个数能被哪些数整除,这些数就叫它的因子(因数、约数)。 * 因子里的质数叫质因子(数)。 例1: If n=4p, where p is a prime number greater than 2, how many different positive...

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...700+ GMAT Problem Solving Probability and Combinations Questions With Explanations Collected by Bunuel Solutions by Bunuel gmatclub.com 1. Mary and Joe are to throw three dice each. The score is the sum of points on all three dice. If Mary scores 10 in her attempt what is the probability that Joe will outscore Mary in his? A. 24/64 B. 32/64 C. 36/64 D. 40/64 E. 42/64 Expected value of a roll of one dice is 1/6(1+2+3+4+5+6)=3.5. Expected value of three dices is 3*3.5=10.5. Mary scored 10 so the probability to have more then 10, or more then average is the same as to have less than average=1/2. P=1/2. Answer: B. Discussed at: http://gmatclub.com/forum/mother-mary-comes-to-me-86407.html 2. Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations, and she can try 75 different possibilities, what is the probability that she does not pick the one correct combination. A. 1 B. 159/160 C. 157/160 D. 3/160 E. 0 When trying the first time the probability Denise doesn't pick the correct combination=3999/4000 Second time, as the total number of possible combinations reduced by one, not picking the right one would be 3998/3999. Third time 3997/3998 ... And the same 75 times. So we get: [pic] every denominator but the first will cancel out and every nominator but the last will cancel out as well. We'll get 3925/4000=157/160. Answer: C. Discussed at: http://gmatclub.com/forum/4000-possible-combination-84435...

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...Quant Mastery A Answers and Explanations Quant Mastery A Answers and Explanations ANSWERS ANd EXPLANATIONS 1. D 2. D 3. C 4. D 5. B 6. E 7. B 8. B 9. B 10. C 11. D 12. C 13. D 14. E 15. D 16. B 17. E 18. E 19. A 20. B 21. C 22. C 23. E 24. A 3 Quant Mastery A Answers and Explanations 1. (d) Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 4 weeks with no overtime, and then worked 3 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period? ○○ ○○ ○○ ○○ ○○ 3y(7x 1 2xy) 3x 1 12y 3xy(7x 1 2) 3x(2y 1 7) 4x(y 1 8) Step 1: Analyze the Question We’ve got a wordy question stem and variables in the answer choices, so we can make this question more concrete and manageable through Picking Numbers. Step 2: State the Task We need to determine Nancy’s total earnings over a seven-week period, including four regular three-day weeks and three weeks during which she worked overtime days. Step 3: Approach Strategically We need two values, so let’s set x 5 5 and y 5 2. (Note that it’s a good idea to avoid 3 and 4 when Picking Numbers for this question, since those numbers appear in the question itself and may cause confusion later when we substitute the values into the answer choices.) There are two distinct parts of...

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