外國語學(xué)校小升初入學(xué)考試中英文奧數(shù)試題庫

1、外國語學(xué)校小升初英語奧數(shù)訓(xùn)練題第一部分11551、三個(gè)素?cái)?shù)的倒數(shù)之和是1155，則這三個(gè)素?cái)?shù)中最大的是多少?1155丄,so what200620061. The sum of the reciprocals of three prime nu mbers isis the greatest one among the three prime nu mbers4142、有一個(gè)分?jǐn)?shù)，它的分子加2,可以約簡為-；它的分母減2,可以約簡為一725這個(gè)分?jǐn)?shù)是多少？2. There is a fraction. If its numerator adds 2, it can be reduced to4

2、14be; if its denominator subtracts 2, it can be reduced to be . So what725is this fracti on1 10 20這個(gè)數(shù)最小是多少？and the quotients3、一個(gè)數(shù)分別除以估壽，所得的商都是自然數(shù)3. A numberis divided11020by1, and respectively142149are all natural numbers. So what is the minimum value of this number4、一片竹林，去年不開花的竹子比開花的2倍還多55棵，今年又多了 1

3、00棵開花，這時(shí)開花的竹子恰好是不開花的4倍，這片竹林有多少棵竹子？4. There is a bamboo forest. Last year, the non-bloo ming bamboosweretwo times and 55 more than the blooming bamboos. With another 100 bamboos blooming this year, the blooming bamboos are four times as many as thenon-bloo ming bamboos. So, how many bamboos are there

4、 in this forest（紅色的地方我有點(diǎn)不確定，葛老師您看看應(yīng)該怎么翻） 11111 15、 從1 1 1丄丄 丄中去掉兩個(gè)分?jǐn)?shù)，余下的分?jǐn)?shù)之和為1。這兩個(gè)分24681012數(shù)是哪兩個(gè)分?jǐn)?shù)？11111 15. Take out two fractio ns fromto make the sum of24681012remai ning fractions to be 1. So what are these two fractio ns&一個(gè)整數(shù)與它的倒數(shù)的和等于 20.05，這個(gè)整數(shù)是多少？它的倒數(shù)是多少？6. The sum of an integer and its recip

5、rocal is 20.05, so what is thisin teger and what is its reciprocal7、 四個(gè)非零自然數(shù)的和為38,這四個(gè)自然數(shù)的乘積的是小值是多少？最大值是 多少？7. The sumof four non zero n atural nu mbers is 38, so what can the minimum product of these four natural numbers be And what can the maximumproduct be8、已知a是質(zhì)數(shù)，b是偶數(shù)，且a2+b=2008,則a+b+1結(jié)果是多少？8. It

6、 is known that a is a prime nu mber and b is an eve n nu mber and that2a +b=2008, so what is the result of a+b+11 1 19、一個(gè)質(zhì)數(shù)p,使得p+2, p+4同時(shí)都是質(zhì)數(shù)。則 丄的結(jié)果是多P P 2 p 4少？9. There is a prime number p, which can makep+2 and p+4 to be prime numbers as well. So what is the result of10、彼此不等且大于0的偶數(shù)a，（a，b，c，d）共有多少組

7、？b，c，d滿足a+b+c+d=20這樣的偶數(shù)組10. There are four differe nt eve n nu mbers a, b, c and d, which are all greater tha n 0. If they should satisfy the equati on of a+b+c+d=20, how many groups of such eve n nu mbers (a, b, c, d) are there11、在一個(gè)兩位數(shù)的中間加上一個(gè) 0，得到的新數(shù)比原來大8倍，原來的兩位數(shù)是多少？11. Add a“0” to the middle plac

8、e of a double-digit number, so thatthe new three-digit number is 8 times more than the original number. So what is the original double-digit number12、如圖，從A到B有多少條不同的路線？（只能向上或向左走）12. As shown in the picture, how manydifferentways are there to go fromA to B (One can only walk up or towards left)13、小馬虎在

9、考試中做一道計(jì)算題時(shí)，將一個(gè)數(shù)乘9錯算成除以9,接著又將加上30錯算成減去30,結(jié)果得18,如果按正確的運(yùn)算順序，所得的結(jié)果 是多少？13. When doing a calculati on in an exam, a careless stude nt made some mistakes. Rather tha n multipl ying a nu mber by 9 and the n addi ng 30, he divided the nu mber by 9 and the n subtracted 30, so that the result was18. If he did

10、 the calculation correctly, what would the result be514、袋里有若干個(gè)球，其中紅球占 -，后來又往袋里放了 6個(gè)紅球，這時(shí)紅球占總數(shù)的丄。現(xiàn)在袋里有多少個(gè)球?A of12the red214. There are some balls in a bag and the red balls account forthe total amount. Afteradding another 6 red balls into the bag,1balls acco unt forof the total amount. So how many ba

11、lls are there2in the bag now15、有1567名同學(xué)排成一排玩游戲，從排頭到排尾按順序說“我” “最” “棒”3個(gè)字(每人說一個(gè)字)，再從排尾到排頭重新按順序說這 3個(gè)字，其中有多 少人兩次都說“我”這個(gè)字？15. 1567 students stand in a row to play games, speaking “ I m”“the ”“ best ” from the head of the row to the end of the row (each student speaks one word at a time) and the n speak i

12、ng these three words from the end of the row to the head of it. So, how many students speak“ I n”twice第二部分1、一條船順?biāo)叫?8千米，再逆水航行16千米，共用了 5小時(shí)；這條船順?biāo)?航行32千米，再逆水航行24千米，也用了 5小時(shí)。求這條船在靜水中的速 度。1、It takes a boat 5 hours to sail 48 km downstream and 16 km upstream.And it also takes the boat 5 hours to sail 32 km

13、 dow nstream and 24 km upstream. So what is the speed of this boat in still water5組成這兩個(gè)三位數(shù)的六個(gè)數(shù)字正好是 少學(xué)生？2、 有一所學(xué)校，男生占學(xué)生總?cè)藬?shù)的 3，學(xué)生總?cè)藬?shù)與男生人數(shù)都是三位數(shù)，1、2、3、4、5、6。問：這所學(xué)校有多2. In a school, boy stude nts acco unt for3of all the stude nts. It is5known that the number of all the students and the number of boys are

14、both three-digit nu mbers and the six digits making up these two three-digit nu mbers are 1,2, 3, 4, 5 and 6. So how many stude nts are there in this school3、六個(gè)小朋友在一起做游戲。他們每人想一相整數(shù)寫在卡片上交給老師，老師 用不同的方式把其中5人寫的數(shù)加在一起，得到以下 6個(gè)數(shù)：87、92、98、 99、104、110。那么卡片上寫的數(shù)中最接近平均數(shù)的是什么數(shù)？3. Six children play games. Each of th

15、em writes down an integer on a card and gives the card to a teacher. The teacher adds up any 5 of the sixnu mbers in differe nt ways and gets the follow ing six nu mbers: 87, 92,98, 99, 104 and 110. So what number on the six cards is closest to the average nu mber4、 現(xiàn)在一副去掉大小王的撲克牌，共 52張。把它們洗勻后，分成 A B

16、兩組， 各26張。請問：在1000次洗牌中，A組中的黑牌數(shù)和B組中的紅牌數(shù)，有幾次會完全相同？4. There is a set of play ing cards, a total of 52 cards, whichdoes notinclude the big king and the little king. After being shuffled, the cards are divided into A and B groups, 26 cards in each group. So in 1000 times of shuffle, how many times will th

17、e number of black cards in Group A beexactly equal to the nu mber of red cards in Group B5、給10位學(xué)生發(fā)鉛筆，每人3支還剩下一些，每人4支又不夠。如果剩下的 和不夠的同樣多，那么共有多少支鉛筆？5. Divide pen cils among 10 stude nts. There will be some pen cils left if each stude nt is give n 3 pen cils and it will not be eno ugh to give each student

18、 4 pencils. Given that the number of the pencils left is equalto the number of the insufficient pencils, how many pencils are there totally&甲、乙、丙丁進(jìn)行象棋比賽，每兩人之間要賽一盤。規(guī)定勝一盤得2分，平一盤各得1分，輸一盤不得分。甲、乙、丙共得 10分，丁得多少分？6. A, B, C and D play chess and every two people n eed to compete on ce.It is ruled that winnin

19、g will bring 2 marks, a draw will bring 1 markand losing will bring no marks. A, B and C altogether get 10 marks, sohow many marks does D get7. 甲、乙兩人賣商品，甲的比乙多 10個(gè)，可是全部賣出后的收入都是15元。 如果甲的商品按乙的價(jià)格出售可賣18元，那么，甲、乙各有多少個(gè)商品？7. A and B sell commodities. A has 10 more commodities tha n B, but bothof them gain a

20、profit of 15 yuan after selling out their commodities.If A sells his commodities according to B s price, he will get 18 yuan. So how many commodities do A and B have respectively8、有20包花生給一只猴子吃，一包只能吃一天，但不能連續(xù)兩天都吃(即今天吃了，明天就不能吃)，且間隔的天數(shù)彼此不同。那么，這20包花生至少要多少天才能吃完？8. 20 bags of pea nuts will be used to feed

21、a mon keya nd one bag of pea nutscan only last for one day.The mon key cannot eat pea nuts every twocon ti nu ous days (if it eats pea nuts today, it cannot eat them tomorrow)and the interval days should be different.So how manydays at least willit take the mon key to eat up these 20 bags of pea nut

22、s9、 在1到100這100個(gè)自然數(shù)中，找出3個(gè)自然數(shù)，使它們的倒數(shù)和為1。9. Find out 3 n atural nu mbers among 100 n atural nu mbers from 1 to 100,so that the sum of these three nu mbers reciprocals is 1.110、有一個(gè)邊長為1分米的正方形，甲先劃去正方形面積的1，乙接著劃去3111剩下面積的-，然后甲又劃去剩下面積的-，乙再劃去剩下面積的-，232-of the3依次類推。如果兩人分別劃了三次，此時(shí)這個(gè)正方形還剩下多少平方分米沒 有被劃去？10. There i

23、s a square whose sides are 1 dm. A first cuts off11square and B cuts off of the remaining area. Then A cuts off of the231rema ining area and B cuts offof the area left,the square in the samemanner for three times, I is the area left3個(gè)六面體都是按照相同的規(guī)律涂有紅、黃、（如圖）。黃色對面是（）色，白色對面是（色。After A and B cuthow manys

24、quare decimeters11、藍(lán)、白、黑、綠 6種顏色 ）色，紅色對面是（）color opposite red is （）.大毛、二毛歲三毛每天早晨都要在 運(yùn)動場上進(jìn)行長跑訓(xùn) 練妙一天，他們 在200米跑道的同1三毛丄圈，大毛超過三毛半圈，這天早晨他們共跑了15圈。如果他們始終4以各人的速度跑步，那么他們每人各跑了幾圈？12. A, B and C took Iong-distanee running training on the playground every morning. One day, they started at the same time from the sa

25、me starting丄 circle4 ahead of C and A was half circle ahead of C. They altogether ran 15 circles. If they kept running with constant speeds, how many circles did they run respectively12、同一起跑線上同時(shí)起跑，當(dāng)三毛正好跑完卵寸，二毛超過line of the 200-meter run way. When C fini shed a circle, B was第三部分16、一個(gè)三位數(shù)，如果它的每一位數(shù)字都不超過

26、另一個(gè)三位數(shù)對應(yīng)數(shù)位上的數(shù)字，那么就稱它被另一個(gè)三位數(shù)“吃掉”。又規(guī)定“任何數(shù)都可以被它相 同的數(shù)吃掉”。比如，241被342 “吃掉”，123被123 “吃掉”，但是240和 223互相都不能被“吃掉”?，F(xiàn)請你設(shè)計(jì)出6個(gè)三位數(shù)，它們中的任何一個(gè)都 不能被另外5個(gè)“吃掉”，并且它們的百位數(shù)字只允許取1, 2;十位數(shù)字只允許取1，2，3;個(gè)位數(shù)字只允許取1, 2, 3, 4,那么這6個(gè)三位數(shù)之和是 多少？There is a three-digit number. If every digit of it does not exceed itscoun terpart of ano ther t

27、hree-digit nu mber, the n,we can say that it iseaten by the later three-digit number. It is also the rule that any number can be eaten by itself. For example, 241 is eaten by 342 and 123 is eaten by 123. But 240 and 223 can not be eaten by each other. Nowplease conceive six three-digit nu mbers and

28、make sure that none of them can be eate n by the other five. In addition, their hundreds digits can only be 1 or 2, their tens digits can only be 1,2 or 3, and their ones digits can only be chosen from 1, 2, 3 and 4. Then, what is the sum of the six three-digit nu mbers17、小王騎自行車，小張騎摩托車，他們同時(shí)從 A B兩地相向

29、而行，在距3中點(diǎn)10千米處相遇。已知小王騎車的速度是小張的3，求A、B兩地間的距5離。Xiao Wang is riding a bike and Xiao Zhang is riding a motorcycle. They move face to face from A and B respectively at the same time. They meet at the place which is 10 kilometers away from the midpoint. Given that Xiao Wang s speed is three fifths of that o

30、f Xiao Zhang. What is the dista nee betwee n A and B18、小剛騎車從8路汽車的起點(diǎn)站出發(fā)，沿著8路車的行駛路線前進(jìn)。當(dāng)他騎了 1650米時(shí)，一輛8路公共汽車從起點(diǎn)站出發(fā)，每分鐘行450米。這輛汽車在行駛過程中每行5分鐘?？恳徽荆＼嚂r(shí)間為1分鐘。已知小剛騎車 速度是汽車行駛速度的-，這輛車出發(fā)后多少分鐘追上小剛？33. Xiao Gang starts from the origin station of No.8 bus by bike and goes along the route of No.8 bus. When he covers

31、 1650 meters, a No.8 bussets out from the origin station and moves 450 meters per minute. This bus pulls up for one minute at one bus stop every five minutes. Given that Xiao Gang s speed is two thirds of that of the bus, how manyminutes will it take the bus to catch up with Xiao Gang after its depa

32、rture19、甲、乙兩筐水果重量相等，如果從甲筐取出6千克水果放入乙筐，這時(shí), 甲筐比乙筐少丄，甲筐原有水果多少千克？44. There are two baskets of fruits, A and B,with the same weight. Ifone takes out 6 kilograms of fruits from A and put them in to B, the n,the fruits in A is a quarter less than those in B. How many kilograms of fruits are there in A in th

33、e first place20、下面的每個(gè)圖形中的數(shù)字都存在一定的規(guī)律，請找一找，再算出第四個(gè) 圖形中的“？ ”表示的數(shù)是多少？8131262234351213145342951165. There exists a certain regularity of the numbers in the followingpictures. Please find the regularity and figure out the number indicated by a questi on mark in the fourth picture.21、如果一個(gè)整數(shù)等于它各個(gè)數(shù)位上數(shù)的和的3倍，那么

34、這個(gè)數(shù)會是多少？6. If an in teger is three times as large as the sum of thefigures inits digit positions, then, what is the number22、有兩個(gè)大小不同的正方形 A B,如下圖，B的中心與A的一個(gè)頂點(diǎn)重合， 重疊部分的面積是A面積的1，你能知道正方形A的邊長是B的多少倍嗎？97. Square A and square B are different in size. As is shown in the following picture, the center of B and

35、one of the vertexes of A overlap each other. The area of the overlapped part is one ninth of that of A. Do you knowhow many times the side of A is as long as that of B23、上題中，如果A與B以下圖的方式重疊時(shí)，那么重疊部分面積又是B面積的幾分之幾？8. In the above problem, if A and B overlap like the followi ng picture, then, what portion

36、is the area of the overlapped part to that of B in terms of fracti on24、圖1中有8個(gè)面積都是4平方厘米的正三角形，依次疊放在同一條直線 上,從左到右，每個(gè)三角形底邊的中點(diǎn)恰好與下一個(gè)三角形的一個(gè)頂點(diǎn)重合，那么由這8個(gè)三角形所蓋住的面積是多少平方厘米?9. There are eight identical regular trianglesin the following picture.Each area is 4 cm 2. They overlap one another on the same straight l

37、ine.Fromleft to right the midpoint of the base line of every triangle overlaps with one of the vertexes of the next triangle. What is the area coveredby the eight triangles insquare centimeters25、下圖中有10個(gè)邊長都是2厘米的正方形，依次地排在一條直線上，而 且正方形的一個(gè)頂點(diǎn)，正好是下一個(gè)正方形的中心，那么由這10個(gè)正方形所蓋住的面積是多少？In the follow ing picture, ten squares with the same side len gth of 2 cmare arran ged on one straight li ne in order. One of the vertexes of onesquare is just