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
