GRE数学

* Geometry
3 quadrilaterals rectangle square parallelogram trapezoid 4 circles center radius diameter chord circumference arc central angle sector a tangent to a circle point of tangency
* Data Analysis
2 numerical methods for describing data measures of dispersion range = G - L outliers inter-quartile range = Q3 - Q1 boxplots box-and-whisker plots
* Data Analysis
3 counting methods sets members elements finite infinite empty set nonempty set subset intersection union Venn diagram
* Data Analysis
* Arithmetic
4 decimals 小数、十进制数 terminate repeat 5 real number number line interval 区间 absolute value
* Arithmetic
6 ratio proportion percent percent increase percent decrease
* Data Analysis
1 graphical methods for describing data frequency distributions
Number of children 0 1 2 3 4 5 Total Frequency 3 5 7 6 3 1 25 Number of children 0 1 2 3 4 5 Total Relative Frequency 12% 20% 28% 24% 12% 4% 100%
* Geometry
7 coordinate geometry rectangular coordinate system xy-coordinate system xy-plane x-axis y-axis quadrants I, II, III, IV x-coordinate y-coordinate origin graph of an equation——linear equation slope x-intercepts y-intercepts parallel lines perpendicular lines
1 lines and angles point line plane line segment endpoint congruent line segments AB——line segment or length angles vertex intersection obtuse angle opposite angles = vertical angles right angle acute angle midpoint
* Data Analysis
1 graphical methods for describing data bar graphs
* Data Analysis
1 graphical methods for describing data segmented bar graphs
* Data Analysis
* Algebra
7 applications e.g. Ellen has received the following scores on 3 exams:82,74,and 90.What score will Ellen need to receive on the next exam so that the average score for the 4 exams will be 85 e.g. In a driving competition, Jeff and Dennis drove the same course at average speeds of 51 miles per hour and 54 miles per hour, respectively. If it took Jeff 40 minutes to drive the course, how long did it take Dennis?
1 graphical methods for describing data bar graphs
* Data Analysis
1 graphical methods for describing data circle graphs
* Data Analysis
1 graphical methods for describing data scatterplot
2,4,4,5,7,7,7,7,7,7,8,8,9,9,9,9,
* Data Analysis
2 numerical methods for describing data standard deviation Six hundred applicants for several post office jobs were rated on a scale from 1 to 50 points. The ratings had a mean of 32.5 points and a standard deviation of 7.1 points. How many standard deviations above or below the mean is a rating of 48 points? A rating of 30 points? A rating of 20 points? 48 points is 15.5 points above the mean, or approximately 2.2 standard deviations above the mean.
* Algebra
interest——simple interest compound interest principal annually quarterly monthly e.g. A college student expects to earn at least $1000 in interest on an initial investment of $20000. If the money is invested for one year at interest compounded quarterly, what is the least annual interest rate that would achieve the goal?
3 counting methods multiplication principle Suppose that a computer password consists of four characters such that the first character is one of the 10 digits from 0 to 9 and each of the next 3 characters is any one of the uppercase letters from 26 letters of the English alphabet. How many different passwords are possible?
* Algebra
8 translation the graph of h(x)+c is the graph of h(x) shifted upward by c units shifted downward shifted to the left shifted to the right
* Geometry
* Arithmetic * Algebra * Geometry * Data Analysis
算术、计算 代数 几何 数据分析
* Arithmetic
1 integers positive negative zero add subtract multiply divide sum difference product factor divisor multiple least common multiple greatest common divisor/factor quotient remainder even/odd integer prime number
2 rules of exponents 3 solving linear equations 4 solving quadratic equations quadratic formula factoring 5 solving linear inequalities 6 functions domain range
* Geometry
7 coordinate geometry line of symmetry (y=2x+5 & x=2y源自文库5)
graph of an equation——quadratic equation parabola vertex graph of an equation——circle point(a,b) radius r
* Arithmetic
2 fractions numerator 分子 denominator 分母 rational numbers reciprocal mixed number
* Arithmetic
3 exponents and roots base exponent squaring square root cube root fourth root odd-order roots even-order roots
* Geometry
5 polygons regular polygon (n-2)(180°) 6 three-dimensional figures rectangular solid faces edge vertex cube volume surface area circular cylinder lateral surface perimeter area
* Geometry
2 triangles interior angles equilateral triangle isosceles triangle right triangle legs hypotenuse pythagorean theorem congruent triangles similar triangles
* Data Analysis
2 numerical methods for describing data measures of position quartiles first quartile Q1 second quartile Q2=M third quartile Q3 percentiles P1 P2……P99 Q1=P25 Q2=P50=M Q3=P75 2,4,4,5,7,7,7,7,7,7,8,8,9,9,9,9,
* Algebra
1 operations with algebraic expressions constant variable coefficient equation solutions a linear equation in two variables quadratic
* Algebra
* Data Analysis
1 graphical methods for describing data time plots
* Data Analysis
2 numerical methods for describing data measures of central tendency arithmetic mean——average weighted mean median mode 2,4,4,5,7,7,7,7,7,7,8,8,9,9,9,9,