2、 一個圓以原點為圓心，1為半徑，一個直線過原點且斜率為1，問與它交於下列哪個點。答案：（根號2/2，根號2/2）
3、to bid a project, the cost includes material cost and labor cost, ask the percentage of x's bid cost to y's bid cost?
a.x's costs are 20% higher than labor costs and 10% higher than material costs.
b. of total costs', y's 60% are labor costs.
(今天讓我最頭疼的一道題，和去年2月的73th jj不同， 猶豫半天，選了個e）
4、給出一個table, 上面是八個國家的per####, 問能得出下面的什麼。（簡單，都是基本數字對比，送分題）
5、一種酒，用bottle裝，用船運給買家。單價40$, 買n瓶時，需要付的錢有包括酒價和運費，運費又包括兩部分，一是全部酒價的5%，二是每運一船的5$.問，如果最後算出每瓶酒包括運費在內的實際價格小於42.5$, n 最小是多少. 答案：11
6、x1<x2<x3<x4<x5, 問x1是多少
（1）每一個數都是前一個數的兩倍
（2）x4=4x2
答案：e
7、 x/2為整數，x/3是整數，問x能不能被12整除
（1）x能被6整除
（2）x/2是even
答案：b
8、幾張牌 分別是 35 28 64 57 （數字不準），抽出一張，問剩下的range 是多少。
1） 抽出的是5的倍數
2） 抽出的是odd number.
差點就選a了，應選d. 問的是range.(最大和最小的都是even )
9、a company ‘s profit increased x percent in 1980 than 1975, and increased y percent in 1985 than in 1980, what percent increased in 1985 than 1975.
1) x+y=4
2) （1+x/100）( 1+y/100)=4
b
10、the area of a round pool is 63, and the area of a passage around the pool is 18, ask the width of the passage is most approximate to which of the following answer
2.0 1.5 1.0 1.3
要知道根號7的值，可是把我算死了，我選了1.0 還有一題要知道根號10，大家記一下，免得到時候抓狂
11、to bid a project, the cost includes material cost and labor cost, ask the percentage of x's bid cost to y's bid cost?
a.x's costs are 20% higher than labor costs and 10% higher than material costs.
b. of total costs', y's 60% are labor costs.
這是昨天的jj，我也選了e。
12、前n個奇數的和是n^2,問從25到79的基數和是多少？a 39^2-11^2 b 39^2-12^2 c 40^2 - 12^2
d 79^2-22^2 e 80^2- 23^2. 不知道是不是我沒看懂題目，反正覺得答案都不對。胡猜了一個，看後面有沒有人能補充吧。
13、一個圓形池塘，面積63pai， 在其外圍包圍一條寬度一樣的小路，該小路的面積是18pai，問小路的寬度最接近多少，其實就是一個圓環。我記得答案是通過9－3根號7推斷近似值。
14、x divided by 5, the remainder is 3, divided by 7 remainder is 4; y divided by 5 remainder 3, divided by 7 the remainder is 4, if x>y, then the difference must be ?我選35。
15、已知一長方形的面積為108，對角線為15，問長方形的周長
16、一個班，60%學生學sculpt，36%學paint，30%兩樣都不學，問從學sculpt的學生里任抽一人，這個學生是兩樣都學的機率
17、一種電池，標價1.25刀，使用壽命為5小時，現在更新為可用6.9小時，標價為1.50刀，問the percentage increase of the price-duration ratio （問題不能完全回憶起來了）
18、一個cube，求體積 （1）他的邊長之和為36 （2）他的表面積為54
19、一個長方形，邊長是12feet和9feet，一個正方形邊長為9inch，問最少要用多少個正方形能完全蓋住那個長方形（12inch=1feet）
20、x=5，根號下x4-x2-5/x4-7 等於幾
21、 30 個蘋果， 12 各壞的，問好的蘋果與壞的蘋果的比率。
22、 一個公司02 年的收入是d dollars, 03年增長了10%， 04年降低了25%。問04 年的收入與01年之比。
23、 一共有12個老師，會法語的6個，剩下的會德語的或者西班牙語。 選4個人，至少有1個會法語的組合多少？
24、 x>5? 1) x的絕對值大於5 2）x>-2/7
25、 1-0.000001=? 選項之中有 1。001乘以0。999
26、有一個數列是由7個連續整數組成的。在這7個數中，有幾個樹可以被6整除？
1）12是它的中數 2) median 可以被6整除
27、 一個小的正方形鑲嵌在大的中間，它的邊與大的兩條夾邊形成了直角三角形。小正方形邊長為3，直角三角形一邊為2。 問大正方形的周長。（有圖，看了就會做了）
28、 ps. (1/(根號5 -根號10))^2) =?
answer: -3-2根號2
29、ps. p and r are different prime number, how many different factors for ps^2?
answer :6
30、ps. water tank is filled in via constant rate at 3 cubic feet per minute, we noticed the water tank’s height increase at the constant rate with 0.1 foot per minute. what’s the following is close most to tank’s radius?
3 feet, 4 feet, 5 feet, 6 feet etc. i chose 3 feet. need to know the square root of 10, i guess.
31、 ds. |x| <5?
a: x<5
b: x>-10
i chose e.
32、ds. order t-shirt, the total cost consists of $3.95 shipping fee and then $29.95 for each t-shirt. how many t-shirt were ordered?
a: total cost between 280 and 300;
b: total cost between 300 and 330.; (not sure the exact number)
此題不難, 但要計算, 考試時我可沒情緒細算, 粗略算一下, 我選d, 好象只能有一個整數.
33、ds. 買郵票, one kind is 32 cent, another one is 23 cent. how many 32cent stamp?
a: the number of 32 cents stamps is twice of 23 cents;
b: total cost is 87 cents.
i chose b.
34、ps, total 6 persons, 分成三組, 各兩人, 研究三個課題. 有幾種組合? i 選 90.
35、斜率. 問一條線斜率是否等於零?
a: 經過點(0,2);
b. 此線平行x 軸;
i 選 b;
36、which following equation has exact one point with x and y are integers?
y=2x
y=2x/5
y=x+1/2
y=x *根號3
i chose y=x *根號3
37、ds. this one is tricky, what’s the value of x?
a: 3x +4y =16
b: 9x+12y=48
i chose e. since both equations are same.
38、ds: during each day last week, a person(john?)get paid at $12 each hour for the first 8 hours and then 1.5times of this rate each hour after 8 hours. how many hours did john work last tuesday?
a: on tuesday, john workd more than 4 hours than monday, and got $48 more paid.
b: on wednesday,john workd more than 3 hours than tuesday, and got $??(i forgot, sorry) more paid;
這題很麻煩, 因為還有分數的工作小時數, 組合情況太多.我考慮了一會, 隨便選了個e.這題跟數字有很大關係, 大家可以考慮思路.但如果有分數,就很難判斷.所以我選了e. 僅供參考.
39、ds: woman:man:children =5:2:7, how many woman?
a: total of woman and children are 12;
b: there are fewer than 4 for men.
i chose d.
40、 ps. a budget $d, 1/3 invest in stocks, 2/3 invest in bonds, after one year, stock got profit of x percent, bond got loss of y percent. x=4y. in terms of d and x, what's the dollor of total loss or profit after one year?
選項有5個,注意前3個是profit, 後兩個是loss, 算仔細應該不會出錯.
41、 ps. a company selll a product. the profit increased to 25 prcent of the cost from 20 percent of cost after adjusting to new selling price. the new price is $80, the cost is not changed. ask the old price?
answer: $76.8
42、ps. in an organization, 40% woman. and of these 30% are 40 years old or more than 40 years old. if the men in this organization are 1800, how many women are 40year &above 40 year old?
i remember is 360.
43、ps. x and y are unit digit and tens digit, repectively, of (123456789)^2. which following are ture?
i. x=1
ii. y=2
iii. y=4.
i chose i and ii.
44、ds. a complex includes 2 br apartment and 3 br apartment, with rent of $500 and $800 repsectively. how many 3 br apartment in this complex?
a: 2 br is twice of 3 br.
b. the total rent is $?? (a number)
i chose c.
45、 ds. three positive number, the median is 5, is the average greater than median?
a: the least of these number is 1;
b. the greatest number of these numbers is 10;
i chose b.
46、gwd. mary persuade her firend to donate $500 for a compaign 那題. 各位可以去查, 一樣的.
47、2004年第10.
此主題相關圖片如下：
ps.each segment from a to g has equal distance. which of the following point represents [-(3^12)] ?(重複三次)
(a) a; (b) b; (c) c; (d) d; (e) e;
作者答案: (d)
橙子評價: 同意. g點到f點的距離是:3^12-3^11=2*3^11即每一小段距離
3^12-[-(3^12)]=2*3^12=6*3^11,即相隔g為三段
由此求得d點為[-(3^12)]
48、2004年第29. ds.x^2 +2qx+ r =0 , ask for the numbers of intersection with x-axis.(重複兩次)
a: q^2>r
b: r^2>q
橙子評價:選a
由二元方程式的中b^2-4ac>0,x有兩個解,
由a可得4q^2-4r>0,所以與x軸有兩個交點
b無法推出
49、2005年1月jj第345、ds: 如圖, a,b,c,d 四線相交(注意沒有說 a,b 平行), x, y, w,z 為夾角, 問 x+y<180度? 1) 忘了; 2) x+y>180度.
此主題相關圖片如下：
50、排列了26個英文字母，按照隨即抽查的使用頻率排列了，問m的頻率是否大於1/26？兩個條件分別給出兩個字母的頻率大於1/26。字母的順序對題可能有幫助，我不記得那順序了，我是選e