7.26GRE数学大纲

GRE  Quantitative Reasoning Introduction

机考  section-level 自适应性考试,可翻页可修改

2 sections:20 questions/35min/ per section

题型:

1.数量比较题

2.单项选择题

3.不定项选择题

4.数字填空题

一.算术

整数的属性和类型(可分性、因式分解、质数、余数、奇偶数)

算术运算、指数、根式

概念:百分比、比率、比例、绝对值、数轴、十进制、数列

余数因子类问题

基本概念:

Positive Integer, quotient, remainder Factor(divisor), prime factor, multipleCommon factor, common multiple

y/x= y is divided by x

y is divisible by x

x is a factor of y

x is a divisor of y

y is a multiple of x

100以内的质数prime number:2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97 (共25个)

余数定理

1.余同取余

一个数除以4余1,除以5余1,除以6余1,则可表示为60N+1

2.和同取和

一个数除以4余3,除以5余2,除以6余1,则可表示为60N+7

3.差同取差

一个数除以4余1,除以5余2,除以6余3,则可表示为60N-3

小结:

①质因数

②A=B·k

③a^b与a,distinct prime factor

④a·b=LCM×GCD

⑤N=2×3×5×7

      =2^2×3^5×5^2  number of prime factors

⑥余/除=decimal  part

⑦x/a=Q···R  x=aQ+R

⑧X=7a+3=2b+5

⑨(M·N)mod a=(M mod a)·(N mod a)mod a



①what fraction of A is B:  B/A

②A→B

the precentage increase from A to B

(B-A)/A·100%=100(B-A)/A%

③the ratio of A to B:  A/B

④a→b

increase by what factor from a to b: b/a



①a+b-x+e=Total

②a+b+c-2x-y+e=Total

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