Instruction
1section: 37 questions，75 min
改革后: 31 questions 找筝，? 62 min
題型:
PS:問題求解(problem solving)
DS:數(shù)據(jù)充分性分析(data? sufficiency)
PS和DS隨機出現(xiàn)
一.算術(shù)(小學數(shù)學＋幾何概率描述統(tǒng)計)
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
余數(shù)定理
1.余同取余
一個數(shù)除以4余1，除以5余1，除以6余1，則可表示為60N＋1
2.和同取和
一個數(shù)除以4余3召噩，除以5余2，除以6余1逸爵，則可表示為60N＋7
3.差同取差
一個數(shù)除以4余1具滴，除以5余52，除以6余3师倔，則可表示為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
函數(shù)方程不等式應用題
1.利息問題
simple interest: 1000构韵，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/漲價問題
discounted 30％
30％ off
original price
discounted price
3.合作問題
Rate×time=total work(一般設(shè)為1)
4.混合物問題
a×90%+b×80%=(a+b)×87%
5.利潤問題
income: 賣東西的收入
outcome: 支付的工資趋艘；進貨費用疲恢；成本
6.油耗問題
Distance= speed×time
Distance(mile)/平均油耗(mile/gallon)=用掉的gas(gallon)
7.集合問題
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
