7.26GMAT数学大纲

Instruction

1section: 37 questions，75 min

改革后: 31 questions ，  62 min

题型:

PS:问题求解(problem solving)

DS:数据充分性分析(data  sufficiency)

PS和DS随机出现

一.算术(小学数学＋几何概率描述统计)

1.integers 2.fractions 3.decimals 4.real numbers 5.ratio and proportion 6.percent    7.powers and roots 8.descriptive statistics  9.sets  10.counting methods 11.discrete probability

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

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52，除以6余3，则可表示为60N－3

(M+N)mod q=((M mod q)+(N mod q))mod q

(M·N)mod q=((M mod q)·(N mod q))mod q

函数方程不等式应用题

1.利息问题

simple interest: 1000，1%→n years→            1000+1000×1%×N

compound interest: 1000，1%

annually: 1000(1+1%)^N

semi-annually: 1000(1+0.5%)^2N

Quarterly: 1000(1+0.25%)^4N

2.折扣/涨价问题

discounted 30％

30％ off

original price

discounted price

3.合作问题

Rate×time=total work(一般设为1)

4.混合物问题

a×90%+b×80%=(a+b)×87%

5.利润问题

income: 卖东西的收入

outcome: 支付的工资；进货费用；成本

6.油耗问题

Distance= speed×time

Distance(mile)/平均油耗(mile/gallon)=用掉的gas(gallon)

7.集合问题

a＋b－x＋e＝total

a＋b＋c－y－2x＋e＝total

Terms:

①what fraction of A is B:  B/A

②A→B

by what percent did A increase to B

(B－A)/A·100％=100(B－A)/A％

③the ratio of A to B:  A/B

④A is 3 more than twice B      A=2B+3