英语奥数题

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四年级奥数题精选200题

四年级奥数题精选200题一、算式谜1.在下面的数中间填上“+”、“-”;使计算结果为100。

1 2 3 4 5 6 7 8 9=1002. ABCD＋ACD＋CD=1989;求A、B、C、D。

3. □4□□－3□89=3839。

4. 1ABCDE×3=ABCDE1;求A、B、C、D、E。

二、找规律5．找找规律填数76;2;75;3;74;4;( ); ( )；2;3;4;5;8;7;( );( )；2;1;4;1;8;1;( );( )。

6．在( )内填入适当的数1;1;2;3;5;8;( );( )；1;1;1;3;5;9;( );( )；0;1;2;3;6;11;( );( )；7．找规律在( )内填上合适的数(1)0;1;3;8;21;55;( )；(2)2;6;12;20;30;42;( )；(3)1;2;4;7;11;16;( )。

(1)1;6;7;12;13;18;19;( )；8.选择一个锐角三角形的一个内角是44度;其余两个角可能是（）36度和100度90度和46度75度和61度18度和96度9.简便计算12×102－2469×56+32×56-5613×94+13×10-13×410.解决问题一个三角形的三个内角分别为∠1;∠2和∠3;∠2=2∠1;∠3=∠2;求∠1=？三、排列组合11.小华、小花、小马三个好朋友要在一起站成一排拍一张照片。

三个人争着要站在排头;无法拍照了。

后来照相师傅想了一个办法;说："我给你们每人站在不同位置都拍一张;好不好？"这下大家同意了。

那么;照相师傅一共要给他们拍几张照片呢？12.二（1）班的小平、小宁、小刚、小超4人排了一个小块板;准备"六、一"演出。

在演出过程中;队形不断变化。

（都站成一排）算算看;他们在演出小快板过程中;一共有多少种队形变化形式？13."69"顺倒过来看还是"69";我们把这两个顺倒一样的数;称为一对数。

小学英语奥数题

小学英语奥数题1、Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is 60 feet. What is the distance in feet between the first and last trees?2、At the end of 2005 Walter was half as old as his grandmother. The sum of the years in which they were born is 3860. How old will Walter be at the end of 2006?3、The digits 1,2,3,4 and 9 are each used once to form the greatest possible even five-digit number. What is the digit in the tens place?4、Every edge of a cube is colored either red or green. In order to have at least one red edge on every face of the cube, find the minimum number of edges that must be colored red.5、When 31513 and 34369 are such divided by a certain 3-digit number, the remainders are equal. Find this remainder.6、Three signal lights were set to flash every certain specified time. The first light flashes every 12 seconds, the second flashed every 30 seconds and the third one every 66 seconds, the signal lights flash simultaneously at 8:30 am. At what time will the signal lights next flash。

外国语学校小升初入学考试中英文奥数题库1

外国语学校小升初英语奥数训练题第一部分1、三个素数的倒数之和是，则这三个素数中最大的是多少？1. The sum of the reciprocals of three prime numbers is, so what is the greatest one among the three prime numbers?2、有一个分数，它的分子加2，可以约简为；它的分母减2，可以约简为。

这个分数是多少？2. There is a fraction. If its numerator adds 2, it can be reduced to be; if its denominatorsubtracts 2, it can be reduced to be. So what is this fraction?3、一个数分别除以，，，所得的商都是自然数。

这个数最小是多少？3. A number is divided by, and respectively and thequotients are all natural numbers. So whatis the minimum value of this number?4、一片竹林，去年不开花的竹子比开花的2倍还多55棵，今年又多了100棵开花，这时开花的竹子恰好是不开花的4倍，这片竹林有多少棵竹子？4. There is a bamboo forest. Last year, the non-blooming bamboos were two times and 55 more than the blooming bamboos. With another 100 bamboos blooming this year, the blooming bamboos are four times as many as the non-blooming bamboos. So, how many bamboos are there in this forest?（红色的地方我有点不确定，葛老师您看看应该怎么翻）5、从中去掉两个分数，余下的分数之和为1。

小升初英文奥数题

英文奥数1．maths(English)1）Find the sum of all the prime numbers Between 20 and 30.2）Divide the sum of the first five odd numbers by the sum of the first two prime numbers.3）Subtract 2 from the sum of the first five even numbers. The difference is then divided by the first odd number following 5. What is the quotient4）Find the value of[4+8]÷[5×4-6]and give the answer correct to 2 decimal places 1）All the prime numbers between 20 and 30 are 23 and 29，The sum of all the prime numbers Between 20 and 30 = 23 + 29 = 522）The first five odd numbers are 1, 3, 5, 7and 9The sum of the first five odd numbers = 1 + 3 + 5 + 7 + 9= 253）The first two prime numbers are 2 and 3The sum of the first two prime numbers = 2 + 3= 54）The first five even numbers are 2, 4, 6, 8 and 10The sum of the first five even numbers= 2 + 4 + 6 + 8 + 10= 305）The difference between the sum of the first five even numbers and 2= 30 - 2= 286）The first odd number following 5 is 7The quotient = 28 / 7= 47）The value of [4+8]÷[5×4-6]= 12 ÷ ( 20 - 6 ) = 12 ÷ 14= ( Corr. to 2 decimal places )2．Six trees are equally spaced along one side of a straight road. the distance from the first tree to the fourth is 60 feet . what is the distancein feet between. The first and last trees3．At the end of 2005 walter was half as old as has snm of the years in which they were born is 3860 .how old will walter be at the end of 20064．The digits 1,2,3,4 and 9 are each used once to form the greatest possible even five-digit number. What is the digit in the tens place*************************************************1、In 2004, 16 June falls on a Wednesday. On what day of the week wi ll 16 June fall in 20102、In a magic square the sum of the numbers in each row, in eachdiagonal and in each column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is_ ___.4、The sum of the digits of the following product999×5555．Three positive integers have a sum of 28. The greatest possible p roduct that these integers canhave is_____.6、Jack was trying to tessellate regular pentagons. He managed thefollowing figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow is 36 cm2, the area of the whole hexagon in cm2 is_____. 8、In what follows, □and Δare different numbers.When 503 is divided by □the remainder is 20.When 503 is divided by Δthe remainder is 20.When 493 is divided by □x Δthe remainder is_____.9、A lady, her brother, her son and her daughter (all related by bi rth) playedvolleyball. The worst player's twin (who is one of the four pla yers) and thebest player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst player(s)A) brother only B) daughter onlyC) son and daughter only D) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in wha tposition in that row will the number 320 be1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.参考答案：1、Wednesday2、123、454、27（求数位上上的数字之和）5、28=9+9+10，因此答案为8106、36度7、1088、503-20=483 483=3×7×23＝21×23，因此□x Δ＝483，因此此题余数是10.9、D 10、25，20##**##***************###############·········****#####附一道考试真题：At10:30, the angle less than 180°Formet by hour hand and minuteHand of normal clock is***( 英汉词典：angle角；less than小于；to from形成；hour hand 时针；Minute hand 分针；normal正常，正规； clock 钟，时钟）***上面是一道关于时钟问题的英文奥数题，猜猜是什么意思附参考答案：如果做过相关的时钟问题，借助于所给的解释可以理解到：求10：30分时，时针与分针所形成的小于180的夹角是多少答案：135°。

五年级英语小学六年级奥数题及答案

一．连词组句。

1．groups, all, chairs, are, in, desks, the, and(.)2．In, your, class, there, any, are, computers(?)3．Corner, have, we, twelve, computers, the, in, computer(.) 4．Corner, science, your, do, what, do, you, in(?)5．Cartoons, at, we, read, storybooks, and, look(.)二、句型转换(一) 根据答句写问句。

1．Yes, we often read in the library.2. We often play the violin in the club.3. We call it a foal.4. They often do project work here.（二）根据题意转换句型。

1. We often play the piano in the room.2. We read storybooks the library.3. There are some girls in our class.(一般疑问句)4．We have six classes a day. (否定句)5．Do the boys often play football? (肯定回答)6. Lucy works in a hospital. （一般疑问句）三．选择题：1．How many English you have a week?A. classesB. classC. a class2. Are there sheep on the farm?A. anyB. aC. an3. The photos shows how they learn.A. weB. usC. our4. They us around their school now.A. showingB. are showingC. shows5. __music classes do you have?A. Is there aB. How manyC. Are6. We often play games __groups.A. inB. atC. to7. They __on the paper.A. do printB. do printingC. print8. There is __art corner in our school.A. aB. anC. some9. They often do __in the class.A. listenB. listeningC. listens10. I often read __.A. storiesbookB. storybooksC. storybook11. Is there __apple on the table?A. anyB. anC. a12. Mark __from Britain.A. comeB. comingC. comes选择题：1.We play __rugby in our school.A. aB. theC. / 2．Those books are __the girls.A. forB. toC. on3. The boys __football.A. playingB. playsC. are playing4. We often do printing __the paper.A. inB. onC. for5. Is that __blue jacket?A. KateB. Kate’sC. Kates6. Are there __apples?A. anB. aC. any7. What __she do in the club?A. doB. doesC. is8. Are there __computers in the classroom?A. someB. anyC. a9. We play games __groups.A. onB. atC. in10. There __any bread on the table.A. isn’tB. isC. are11. __do you play volleyball?A. WhatB. WhereC. Who12. Are there any mugs on the table?Yes, __.A.There is notB. they areC. there are13. We often go __science field trips.A. inB. atC. on14.Our __are about flowers.A. studyB. studysC. studies15. How __you and your trip?A. isB. aboutC. do 16．Let’s __games after school.A. playingB. playC. to play17. There __any water in the bottle.A. isB. isn’tC. aren’t18. I study birds __the forest.A. onB. inC. to19. We like __hockey.A. playingB. playC. to play20. They are __TV now.A. watchingB. watchesC. watch21. Let __help you.A. isB. usC. does22. All of __are interested __music.A. they…atB. them…inC. their …in23. He often takes care __the boy.A. ofB. forC. to24. Your book is here. Put __away.A. itB. itsC. it’s25. Here __the money.A. amB. isC.are26. __is this bag?A. How manyB. How muchC. How nice27. What can I do __you?A. toB. atC. for28. __they have a football? Yes, they do.A. CanB. AreC. Do29. __are you doing? I’m singing.A. WhereB. WhatC. How30. Don’t speak! Listen to __.A. myB. meC. mine31. I like the __of the dress.A. moneyB. colourC. green32. I want a new a bag __my birthday.A. forB. inC. to33. Let’s meet __the gate.A.toB. atC. in34. How __orange?A. anyB. manyC. about35. The coat is beautiful. Try __on.A. themB. itC. its36. The sports shoes __too big for me.A. isB. areC. can37. Can you show __that one?A. IB. meC. mine38. How much __the shoes?A. isB. areC. about38.I want a pair __sandals.A. toB. ofC. about39. Hello, may I __to Mr Zhang?A. sayingB. speakC. tell40. I’m ill. I have a __cold.A. bigB. smallC. bad41. Her father will take __to the hospital.A. sheB. herC. hers42. Take good care __us.A. ofB. offC. for连词组句：句型转换：1.I, have, this, a, book, can, at, one (?) 1.The new toothbrush is five yuan.2.Much, is, it, how(?) 2. Can I help you? (同义句)3.it, take, we, will(.) 3. Can I have a look at this lamp?(同义句)4.the, is, money, here(.) 4. I can drink a glass of water. (一般疑问句)5.want, do, anything, you, else(?) 5. They want a towel. (否定句)6.Walkman, a, I, can, have(?) 6. What can I do for you? (同义句)7.English, want, I, to, to, listen(.) 7. I’ll take it. (同义句)8.Like, not, I, the, do, colour(.) 8. Please pass me the pen. （同义句）9.Pass, please, you, blue, can, me, the, one(?) 9. It’s eighty yuan.b, to, buy, I, want, a(.) 10. He can dance. (一般疑问句)11.Is, trip, Peter, week, on, going, a, next, field(.) 11. I like them very much.12.A, want, of, I, pair, sandals(.) 12. I want to buy a walkman. (同义句)13.For, too, are, big, they, me(.) 13. What can I do for you? （同义句）14.Try, on, them, can, I(?) 14. There is a book on the desk. （一般疑问句）15.That, show, me, pair, you, can(?) 15. He works in a hospital.16.Worry, do, your, lessons, not, about(.) 16. My uncle is a driver.17.Doctor, you, should, go, see, to, a(.) 17. How much is your new dress?(复数)18.Will, hospital, my, to, me, take, mum, the(.) 18. There are three people in my family.句型转换：19．Everyone in my class likes studying English.(一般疑问句。

英语奥数题10道(教师版)xuhong

1. The school planted willows every 5 meters on one side of the sidewalk which is in front of the teaching building, from the beginning to the end of the sidewalk, there were 10 willows in total, How long is the sidewalk?（植树问题）5×(10-1)=45（米）2. Fan fan spends 30 seconds climbing from the first to the third floor, if he keeps his speed, how long it will take for Fan fan to climb to the seventh floor in total?（上楼梯问题）30÷（3-1）=15（秒）15×（7-3）=20（秒）3. Mr. Wang cut a bundle of wires for 8 times, The length of each section is 10 meters, How long is this wire?（锯木头问题）（8+1）×10=90（米）4.Wang gang has cocks and hens ,the number of the chickens is 45 in total, the number of cocks is 4 times of the hens, how many hens and cocks does Wang gang have?（和倍问题）45÷（4+1）=9只……母鸡9×4=36只……公鸡5. A transports flour and rice; its total weight is 2450 kg , the weight of rice is 2 times and 50 kg more than flour; what's the weight of the rice and flour respectively? （和倍问题）（2450-50）÷（2+1）=800千克……面粉800×2+50=1650千克……大米6. There are 840 apple trees、pear trees、peach trees in a orchard, the number of pear trees is 2 times to the peach trees, the apple trees is 3 times to the peach trees . What's the number of these three kinds of trees respectively? （和倍问题）840÷（1+2+3）=140棵……桃树140×2=280棵……梨树140×3=420棵……苹果树7. The age of A 4 years ago is the age of B 6 years later, the sum of age of A 4 years later and the age of B 3 years ago is 37. How old is A and B now?（年龄问题）解：设B今年的年龄为x岁，则A的年龄为(x+4+6)岁，（X+4）+（X-3）=37X=1313+4+6=23岁8. The sports department spent 340 Yuan in buying 5 footballs and 2 volleyballs. The price of volleyball is 12 Yuan cheaper than the price of football. How much is the football?（鸡兔同笼）（340+12×2）÷（5+2）=52元9. the following is a multiplication formula, each letter stands for a number, different letters represent different digital, A is not 0,then,what"s the numbers A,B,C,D stands for?（算式谜）A=1，B=7，C=5，D=810. The teacher wants give some sweets to some children, if give each children 4 , then there will be 20 more. if give each children 5, there will be 5 less, please calculate the number of the children and the sweets.（盈亏问题）（20+5）÷（5-4）=25人25×4+20=120块。

全新的小学英语奥数题

1、An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant? Optional: Also solve for a square, octahedron, icosahedron, and dodecahedron.AnswerThe answer is 10.If the spider started at a corner diagonally on the same face as the ant the answer would be 9, and if the spider started at an adjacent corner the answer would be 7.Here are answers for other figures:Square: 4Octahedron: 6Dodecahedron: 35Icosahedon: 152、（无答案）、（无答案）The principal of a new elementary school sounded the alarm for fire training. It took a very long time to empty the building. It was evident that the schoolchildren were at ri sk. The school has three exterior doors. The main door is served by a wide corridor, th e side door by a narrower corridor, and the rear door by a dog-legged corridor.By experimenting with the classrooms adjacent to each of these doors, it was determin ed that:About 1.5 minutes elapse between the announcement of an emergency and the first de parture through each door.Students and staff can file through the doors at these rates approximately 55 per minut e through the main door, 30 per minute through the side door, and 25 per minute through the rear door.About 450 persons are inside the building.Calculate for the problem the minimum time until the building emptiesa.4.1b.1.5c.5.3d.5.6e.8.183、Ahmad bought 4 boxes of marbles and 5 packs of cards for $12.30. John bought 3 packs of cards and 2 packets of drinks for $8.70. Soon Lee bought 2 boxes of marbles, 5 packs of cards and 3 packets of drinks. How much did Soon Lee pay altogether?（Ahmad 买了4盒弹子，5盒卡片，合计12.30; John 买了3盒卡片，2包饮料，合计8.7；不久，Lee 买了2盒弹子，5盒卡片和3包饮料，请问Lee 总共化了多少？）多少？）4、joshua and corrine had an equal amount of money. joshua spent $15 per day while corrine spent $28. when joshua had $180 left corrine had $76 left. how much did corrine had at first?(Joshua 和 Corrine 有相等数量的钱，Joshua 每天化15 而Corrine 每天化28，当Joshua 剩180时Corrine 只剩下76，请问Corrine 开始的时候有多少钱？)5.Mr Tan had 1.5 litre of white paint in Tin A and 1.25 litre of blue paint in Tin B. He poured 750 ml of blue paint from Tin B into Tin A. Next, he poured some of the mixture in Tin A back into Tin B. if 7/11 of the final mixture in Tin B was made up of blue paint, what was the volume of the mixture in Tin A that Mr Tan had poured into Tin B?(Mr Tan 有一罐1.5升白漆（Tin A), 一罐1.25 升蓝漆(Tin B). Mr Tan 从B 罐里倒出750ml 蓝漆到A 罐，接着，他又把混合在A 罐里的漆倒回到B 罐。

小升初英语奥数题

小升初英文奥数题11、Did you know In the decimal number system base 10 ten different digits, 0 to 9, are used to write all the numbers. In the binary number system base 2 two different digits are used, i.e. 0 and 1. Which one of the following numbers is not a valid number in the octal number system base 8你知道吗在十进制数字系统中十个不同的数字,用从0到9就可以写出所有的数字了；在二进制数字系统中使用了二个不同的数字0和1.请问在八进制数字系统中,下列的哪一个数字是不存在的A 128B 127C 126D 125E 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides icosagon is_____.一个规则的20多边形总共可以画出多少条对角线3、If a and b are integers, 103=1, 1507=3, and then 3796 is equal to_____.如果a和b都是整数,那么3796是等于多少4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.假设二个数字的比值是2:3,当每个数字加上4以后,比值就变成了5:7.那么这二个数字之和是多少5、The greatest number of Mondays which can occur in 45 consecutive days is____在日历中,续45天中最多可以出现多少个星期一6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.索尔在玩一个电子游戏,击中一次得4分,打偏则扣6分.20个回合后他的得分是30分,那么他打偏了多少次7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m behindA and whenB finishesC is 20 m behind B. How far in metres was C from A when A finishedLet’s assume all the athletes run at a constant speed有A,B,C三个女孩进行100米赛跑.当A到达终点时,B落后A 10米,当B到达终点时,C落后B 20米.那么当A到达终点时,C落后A多少米假设所有的人都是匀速的8、The areas of the faces of a rectangular box are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.一个长方形盒子的表面积依次为84cm2,70 cm2 ,30 cm2,那么这个盒子的体积是多少9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these threeRemember the weights may be placed on either side你有三个重物：1kg,3kg,9kg,还有一个等臂天平.那么你可以用这三个重物称多少个不同物体记得这些重物可以放在天平的任意一边小升初英文奥数题21. An ant covers adistance of 90 metrers in 3 hours .The average speed of the ant in decimetres per minute is____.一只小蚂蚁用了3个小时爬行了90米,那么它的平均速度是每分钟多少分米2.The Ancient Romans used the follwing different numerals in their number system as follows:Ⅰ=1 C=100 V=500 Ⅹ=10 M=1000 ,etc L=50 . They used these numerals to make up numbers as follows:Ⅰ=1,Ⅱ=2,Ⅲ=3,Ⅳ=4,Ⅴ=5,Ⅵ=6,Ⅶ=7,Ⅷ=8,Ⅸ=9,Ⅹ=10.So ,for example,XCIX is 99.What is the value of XLVI古罗马人用下面的符号来计数：…….,比如XCIX是99,XLVI等于多少3.In a certain town some people were affected bya'flu' epidemic .In the first month20% of the population contracted the ful whilst 80% were healthy.In the following month 20% of the sick people recovred and the 20% of the healthy people contractedthe disease . What fraction of the population is healthy at the end of the healthy month在某个小镇里一些人感染了流行性感冒.在第一个月里有20%的分感染了,但80%的人是健康的.在接下来一个月里,有20%的病人恢复了健康,但是20%的健康的人也感染了.那么现在总共健康的人数的百分比是多少4.Mpho,Barry ,Sipho,Erica and Fatima are sitting on a park bench .Mpho is not sittingon the far right. Barry is not sitting on the far left. Sipho is not sitting at either end .Erica si sitting to the right of Barry ,but not necessarily next tohim .Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry .Who is sitting at the far rightMpho,Barry ,Sipho,Erica 和 Fatima坐在公园的长椅上.Mpho坐在不远的右边,Barry坐在不远的左边,Sipho不坐在长椅的任何一头,Eric坐在Barry的右边,但是并不需要挨着他,Fatima也不挨着Sipho,Sipho也不挨着Barry,那么谁坐在最右边5.Of the 28 T shirts in a drawer ,six are red ,five are blue ,and the rest arewhite.IfBob selects T-shirhs at random whilst packing for a holiday ,what is the least numberhe must remove from the drawer to be sure that he has three T-shirts of the same colour 抽屉里有28件T-恤衫,6个红色的,5个蓝色的,剩下的都是白色的,如果他随意取出T-恤衫去度假,要确保他有3件是同一颜色的,请问他从抽屉中拿出的T-恤衫的最少数量是多少件6.In an alien language ,jalez borg farn means "good maths skills".Nurf klar borg means"maths in harmony" and darko klar farn means"good in gold" .What is "harmony gold "in this language在外星人语言中,jalez borg farn 意思是 "good maths skills".………7.Five children ,Amelia ,Bongani ,Charles,Devine and Edwina ,were in the classroom when one of them broke a window. The teacher asked each of them to make a statement about the event,knowing that three of them always lie and two always tell the truth.Their statements were as follows :Amelia :"Charles did not break it ,nor did Devine." Bongani:"I didn't break it ,nor did Devine ." Charles:"I didn 't break it ,but Edwina did ." Devine;"Amelia or Edwina broke it ."Edwina:"Charles broke it."Who broke the window五个熊孩子,Amelia ,Bongani ,Charles,Devine and Edwina,在教室里玩疯了,突然有一个打破了窗户.老师先让每个人坦白一下事件,其实老师心里知道有三个孩子总是撒谎,二个爱讲实话.下面是他们的辩词：Amelia：不是Charles干的,也不是Devine干的.Bongani：我没有打破窗户,Devine也没有.Charles：我没有,是Edwina 干得.Devine：是Amelia或者Edwina 干得.Edwina：是Charles干得.那么到底是谁打破了窗户8. Did you know A palindrome你知道吗回文数字是一种顺读和倒读都一样的数.比如35453. 2002年就是一个这样的例子.那么2002和它前一个回文数字年的差别是多少小升初英文奥数题31、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010在2004年,六月16号是星期三,那么在2010年六月16是星期几呢如果一个数的一半是30,那么这个数的四分之三是多少3、The sum of the digits of the following product 999×555 is999×555的积的数位上的数字之和是多少4、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.三个正整数之和是28,那么这三个正整数之积最大可能是多少5、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____.有如下几个例子,□和Δ都代表不同的数字,□除以503的余数是20. Δ除以503的余数也是20,那么493除以□×Δ之积的余数是多少6、A lady, her brother, her son and her daughter all related by birth played volleyball. The worst player's twin who is one of the four players and the best player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst players一位女士,她的弟弟,她的儿子,她的女儿,都打排球.妈妈和她的弟弟是双胞胎,她自己的女儿和儿子也是双胞胎.最差的球员的双胞胎之一和最好的球员性别是相反的,最差的球员和最好的年龄是一样的.那么谁不可能是最差的A brother onlyB daughter onlyC son and daughter onlyD lady and daughter only7、If you continue the given number pattern, in what row and in what position in that row will the number 320 be如果你继续把下面这组数字模式写下去,那么在多少排、在这一排的什么位置将会是数字3201 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.10.Two ants start at point A and walk at the same pace .One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6cm by 3 cm rectangle .What is the minimun distance ,in centimetres,any one must cover before they meet again二只可怜的小蚂蚁都以同样的速度从A点出发.其中一只爬行了3cm×3cm的正方形,另一只爬行了6cm×3cm的长方形.那么如果二只蚂蚁再次相遇,每只必须爬行的最小距离的多少参考答案11、A 考察我们学过的简单的进制问题,显然8进制中没有8出现2、170 找规律,公式为n×n-3÷23、1 定义新运算,就是求379÷6的余数.4、40,16和245、76、57、28米,根据距离比求出速度比,三者的速度比为1：9/10：18/258、420 分解质因数9、13种21、单位换算,注意单词,90×10÷3×602、463、68%4、Erica5、7,抽屉原则6、nurf darko.注意一一对应,borg=maths,farn=good,jalez=skills,klar=in,nurf=harmony,darko=gold.7、Charles8、100131、Wednesday2、453、27求数位上上的数字之和4、28=9+9+10,因此答案为8105、503-20=483 483=3×7×23＝21×23,因此□ x Δ＝483,因此此题余数是10.6、D 7、25,2010、108△ABO的面积为16,等腰△DOC的面积占长方形面积的18％,那么阴影△AOC的面积是多少2、已知△ABC中,AB=AC=16, △ABC面积是64,P是BC上任意一点,P到AB,AC的距离分别是X、Y,那么X+Y=______3、从1到999这999个自然数中有______个数的各位数字之和能被4整除.4、如图乘法竖式中,"学而思杯"代表0 ~ 9中的一个数字,相同的汉字代表相同的数字,不同的汉字代表不同的数字,那么"学而思杯"分别代表的数字是_______5、学学和思思结伴骑车去图书馆看书,第一天他们从学校直接去图书馆；第二天他们先去公园再去图书馆；第三天公园修路不能通行．则这三天从学校到图书馆的最短路线分别有_______种不同的走法.1、10个不同非0自然数的和为1001,则这10个数的最大公约数的最大值_____2、"学而思杯思而学"是一个七位回文数字,其中相同的汉字代表相同的数字,不同的汉字代表不同的数字．已知这个七位数第1位能被2整除,前2位组成的2位数能为3整除,前3位组成的3位数数能被4整除,…… ,前7位数组成的七位数能被8整除．那么"学而思杯思而学"=_______ ．3、如图,△ABC是等腰直角三角形,DEFG是正方形,线段AB与CD相交于K点．已知正方形DEFG的面积48,AK: KB=1: 3,则△BKD的面积是_________4、甲、乙两队各出5名队员按事先排好的顺序出场参加象棋擂台赛,双方先由1号队员比赛,负者被淘汰,胜者再与负方2号队员比赛,……直至有一方队员全被淘汰为止,另一方获得胜利．各个队员的胜负排列便形成一种比赛过程．已知每次比赛都没有和局,问所有可能的比赛过程有多少种参考答案：一、填空题每题5分,共25分1、17702、153、24192004、35、14,63,147二、填空题每题7分,共35分1、3.52、83、2484、32015、16,8,81、132、42858243、124、25。

英语奥数题

英语数学题1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.2、3、In a certain town some people were affected by a ’flu’ epidemic. In the first month 20% of the population contracted the flu whilst 80% were healthy.In the following month 20% of the sick people recovered and 20% of the healthy people contracted the disease.What fraction of the population is healthy at the end of the second month?4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench.Mpho is not sitting on the far right. Barry is not sitting on the far left.Sipho is not sitting at either end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry.Who is sitting at the far right?5、Of the 28 T–shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T–shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T–shirts of the same colour?6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means “maths in harmony” and darko klar farn means “good in gold”.What is “harmony gold” in this language?7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in theclassroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows:Amelia: “Charles did not break it, nor did Devine.”Bongani: “I didn’t break it, nor did Devine.”Charles: “I didn’t break it, but Edwina did.”Devine: “Amelia or Edwina broke it.”Edwina: “Charles broke it.”Who broke the window?8、Did you know? A palindrome is a number which reads the same forwards as backwards e.g. 35453. Next year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year?9、If a Åb = (3×b) then the value of 2+(2×a) Å(3 Å5) is____. 10、Two ants start at pointA and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 cmrectangle. What is the minimum distance, in centimetres, any one mustcover before they meet again?参考答案：1、单位换算，注意单词，90×10÷（3×60）＝52、 463、 0.684、 Erica5、抽屉原则 76、注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.7、 Charles8、 10019、 6710、 1081、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.Which one of the following numbers is not a valid number in theoctal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3、If a and b are integers, 10⊗3=1,152⊗7=3, and then 379⊗6 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutivedays is____6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 mbehind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three?[Remember the weights may be placed on either side]参考答案：1、A 考察我们学过的简单的进制问题，显然8进制中没有8出现2、170 找规律，公式为n×（n-3）÷23、1 定义新运算，就是求379÷6的余数。

六年级英语复习必看的五大题型

六年级英语复习必看题型⼀：单词和语法
1、简单的词组利于：look at等在⼩升初英语试卷中经常出现;
2、情态动词⽤法如must之类是⼩升初英语的必考内容;
3、⾮谓语动词也是⼩升初英语的必考内容;
4、虚拟语⽓是⼩升初英语的必考内容。

六年级英语复习必看题型⼆：完形填空
完形填空会全⾯考察孩⼦的英语知识体系，词汇、语法、词组搭配等。

六年级英语复习必看题型三：阅读题
⼀般⼩升初英语试卷会有四道阅读题，四篇阅读题中，最后⼀篇⾮常难，有的甚⾄达到了⾼考英语⽔平。

但是，做阅读提有⼀些技巧，是可以强化的。

六年级英语复习必看题型四：英⽂奥数题
英⽂奥数题是孩⼦认为最难的题⽬，因为会出现很多孩⼦从来没有见过的⽣词，⽽且还要孩⼦有⼀些数学基础。

⼀般数学成绩好的孩⼦，英语不咋地，那么这类题就成为了他们的难题。

六年级英语复习必看题型五：摘要写作题
这类题型对于⼤多数孩⼦来说很简单，只要孩⼦了解⼀些基本的做题技巧，都能顺利。

孩⼦在考试之前，可以学习新概念英语教材，以为⼩升初英语写作题是从新概念英语教材中的摘要写作部分借鉴⽽来的。

几个四年级奥数题

例1刘佳同学期终考试，数学得90分，语文得94分，英语成绩比这3门的平均成绩高4分，问：英语得了多少分？分析：英语比平均成绩高的这4分，是“补”给了数学和语文，所以3门功课的平均成绩为：（90+94+4）÷2=94（分）英语成绩是：94+4=98（分）答：英语得了98分。

例2小阳前几次数学测验的平均分仅为85分，他只有这次考到100分，才能使他的平均分提高到88分的成绩。

到这次为止一共测验了多少次？分析：既然这次要考100分，平均分才能到88分，说明这次测验要给前几次测验补上100-88=12（分），这样才能使平均分提高88-85=3（分），那么共补了12÷3=4（次），加上这一次共测验5次。

例3 有5个数，其平均数为138，按从小到大排列，从小端开始顺序取3个数，其平均数为127，从大端开始顺序取3个数，其平均数为148，则第三个数是多少？分析与解答：一共有5个数，从小到大排列后取3个数的总数加上从大到小排列后取3个数的总数中重复计算了第3个数1次，所以减去5个数的总数就可以得到第三个数。

解：127×3+148×3-138×5=381+444-690=135答：第三个数是135。

例4 丽丽今年2岁，爸爸26岁，问几年后爸爸的年龄是丽丽的3倍？分析：经过若干年后，丽丽的年龄变大了，爸爸的年龄也变大了。

但他们的年龄差不变，今年他们相差26-2=24（岁），无论经过多少年，二人的年龄差仍然是24岁。

若干年后，二人年龄状况如上图。

从图中可以看出，丽丽和爸爸的年龄差24岁和（3-1）倍相对应。

解：24÷（3-1）=12（岁）12-2=10（年）答：10年后爸爸的年龄是丽丽的3倍。

例5 数学老师比小明大30岁，3年后，老师的年龄是小明的4倍，小明今年多少岁？分析与解答：今年数学老师比小明大30岁，3年后老师仍然比小明大30岁。

3年后老师与小明年龄情况如下从图中可以看出，数学老师和小明的年龄差30岁和(4-1)倍相对应。

2023年小升初必备英语奥数智力题

牛孩儿2023年小升初必备——英语奥数智力题（更新至11.25日）英语奥数题在前几年的外综推荐考试中出现过，很多孩子由于读不懂题目而与外总失之交臂。

现在英语考试的知识面越来越宽，除了在学习语法知识外，孩子们也要注意增长知识面哦。

而用英语学奥数，不仅让孩子学习了英语，又让孩子学习了数学（当然，前提是孩子要看得懂题目），挑战一下智力。

说不定这里面的题就会出现在你们以后的试卷里面哦！题目的难度会一点一点往上升~请小盆友们回帖写出自己的答案吧~老师会次日公布答案，敬请期待！7.18日：What number can replace （代替）the question mark?7.18日答案：88解析：73=12+6*6+5*5. 30=17+3*3+2*2. ？=23+4*4+7*7=88今日更新：Which number is 10 more than 95?A. 85B. 100C. 105D. 1107.19日答案：C解析：句意为：比95大10的数是多少？故答案为C. 105今日更新：Whose figure（图形）are congruent（同样的）？A. Andy's and Lou'sB. Andy's, Beth's and Lou'sC. Beth's, Ceil's and Lou'sD. Beth's and Ceil's7.21日答案：D今日更新：Which one should be next in the pattern below?7.22日答案：D今日更新：Which is the next number in the pattern?11, 14, 17, 20, 23, 26, 29, _?__A. 30B. 31C. 32D. 337.23日答案：C今日更新：On which day did the greatest number of people come to the talent show ?A. TuesdayB. WednesdayC. ThursdayD. Friday7.24日答案：C解析：题目问的是参与比赛最多的一天是哪一天今日更新：It is the size of a garden.How much fencing would be needed to go around the garden?A. 14 feetB. 24 feetC. 28 feetD. 48 feet7.25日答案：C今日更新：John will be 12 years old after 5 years from now. How old is John this year?本帖最后由博格兔兔于2023-7-29 12:33 编辑7.26日答案：7岁解析：约翰5年之后是12岁，今年几岁？12-5=7今日更新：If a and b are integers, 10☒3=1，157☒7=3，and then 379☒6is equal to _________7.28日答案：1解析：10除以3的余数是1,157除以7的余数是3，所以379除以6的余数是1今日更新：What number comes next?246,468,689,892 ( )7.29日答案：924今日更新：DIDIIDID is to 49499494 as DIIDIIDD is to:A）94494499 B）49949944 C）49499494 D）94944949 E）499449497.30日答案：B今日更新：What would be the next number in this series?0… 5… 1… 4… 2… ____7.31日答案：3解析：前面每两个数相加是5,0+5=5,1+4=5,所以下一个数字是3.今日更新:What's the next number?10、8 、11、9 、12、?8.1日答案：10今日更新：Shufen has 372 beads. 1/6 are blue ，how many are blue beads?(填数字)8.2日答案：62解析：372*1/6=62今日更新Which number can instead the question mark?8.3日答案：four今日更新：（）Amy is 12 years old(十二岁),John is 2 years younger than Amy. Sarah is 1 years older than John. How old is Sarah?A.15B.11C.13D.98.4日答案：B解析：Amy12岁，John比Amy小2岁，是10岁，Sarah比John 大一岁，所以是11岁。

2023年小升初英语奥数题

常用数学术语旳英语体现：1立方one cubic 1平方米 one square metre几何geometry 点point线 line 面 plane直线 a straight 曲线 curved line近似值 an approximate value垂直线 a vertical 水平线 a horizontal line三角形旳底 the base of a triangle三角形旳两个腰 the two sides of a triangle直角 a rigt angle 锐角 an acute angl钝角an obtuse angle 长方形 a rectangle正方形 a square 多边形 a polygon圆心 the centre of a circle 圆旳直径the diameter of a circle 圆旳半径the radius of a circle 半圆 a semicircle弧 an arc 圆柱体 a cylinder球体 a spheroid常用加减乘除旳英语体现：四加五等于九If you add 4 to 5, you get 9.或：If you add 4 and 5, you get 9.五与四旳和是九 4 and 5 are / make 9.或：The sum of 5 and 4 is 9.或：Four plus five equals nine.五减二等于三If you take 2 from 5, you get 3.或：5 minus 2 equals 3.五与二之差为三The difference between 5 and 2 is 3.二乘三等于六 2 times 3 is / equals 6.或：3 multiplied by 2 equals 6.二与三旳积为六 The proudct of 2 and 3 is 6.六除以二等于三If you divide 6 by 2, the answer is 3.或：If you divide 2 into 6, the answer is 3.或：6 divided by 2 equals 3.比较两个数字大小旳英语体现：6不小于5 6 is greater than 5.或：6 is more than 5.6不不小于7 6 is less than 7.平方、立方及四次方旳英语体现：3旳平方等于9 The square of 3 is 9.3旳立方等于27 The cube of 3 is 27.3旳四次方等于81 The fourth power of 3 is / equals 81.平方根立方根旳英语体现：9旳平方根为3 The square root of 9 is 3.27旳立方根为3 The cube root of 27 is 3.正比反比旳英语体现：A与B成正比 A is in direct proportion to B.A与B成反比 A is in inverse proportion to B.两直线平行或垂直旳英语体现：直线AB平行于直线CD Line AB is parallel to Line CD直线AB垂直于直线CD Line AB is perpendicular to Line CD加plus 减minus 乘multiply 除divide分母denominator 分子numerator平方square 平方根square root二分之一one half 二分之三two thirds 三分之四three fourth 内角interior angle 锐角acute angle 钝角obtuse angle周角a complete revolution 直角right angle圆周circumference 圆心center 半径radius 直径diameter 弧arc 弧度degree of an arc比ratio三点一three point one面积area 体积volume 长度length分数fraction 小数decimals表格table 图表graph素数prime number 负数negative 自然数natural number代数algebra 方程/等式equation等腰三角形isosceles triangle 等边三角形equilateral triangle1、In , 16 June falls on a Wednesday. On what day of the week will 16 June fall in ?2、In a magic square the sum of the numbers in each row, in each diagonal and in each column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed the following figure. The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □and Δare different numbers.When 503 is divided by □the remainder is 20.When 503 is divided by Δthe remainder is 20.When 493 is divided by □x Δthe remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and the best player are of opposite ***.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in what position in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row; position.（二）1、Did you know? In the decimal number system (base 10) ten different digits, 0to 9 are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.Which one of the following numbers is not a valid number in the octal number syst em (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____.3、If a and b are integers, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutivedays is____6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m behind A and when B finishes C is 20 m behind B. How far in metres was C fro m A when A finished?(Let’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three? [Remember the weights may be placed on either side]（三）1、An ant covers a distance of 90 metres in 3 hours. The average speed of the a nt in decimetres per minute is____.2、3、In a certain town some people were affected by a ’flu’ epidemic. In the first month 20% of the population contracted the flu whilst 80% were healthy.In the following month 20% of the sick people recovered and 20% of the healthy people contracted the disease.What fraction of the population is healthy at the end of the second month?4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench.Mpho is not sitting on the far right. Barry is not sitting on the far left.Sipho is not sitting at eith er end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry.Who is sitting at the far right?5、Of the 28 T?shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T?shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T? shirts of the same colour?6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means“maths in harmony” and darko klar farn means “good in gold”.What is “harmony gold” in this lan guage?7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in the classroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows: Amelia: “Charles did not break it, nor did Devine.”Bongani: “I didn’t break it, nor did Devine.”Charles: “I didn’t break it, but Edwina did.”Devine: “Amelia or Edwina broke it.”Edwina: “Charles broke it.”Who broke the window?8、Did you know? A palindrome is a number which reads the same forwards as backwards e.g. 35453. Next year is an example of a palindromic number. What is the difference between and the number of the previous palindromic year? (3×b) then the value of 2 Å(3 Å5) is____. 9、If a Åb = (2×a)10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 cmrectangle. What is the minimum distance, in centimetres, any one mustcover before they meet again?英语奥数答案：1、Wednesday2、123、454、27(求数位上上旳数字之和)5、28=9+9+10，因此答案为8106、36度7、1088、503-20=483 483=3×7×23=21×23，因此□ x Δ=483，因此此题余数是10.9、D 10、25，20（二）1、A 考察我们学过旳简朴旳进制问题，显然8进制中没有8出现2、170 找规律，公式为n×(n-3)÷23、1 定义新运算，就是求379÷6旳余数。

英语奥数题

做杭州最好的教育社区 1、Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is 60 feet. What is the distance in feet between the first and last trees?2、At the end of 2005 Walter was half as old as his grandmother. The sum of the years in which they were born is 3860. How old will Walter be at the end of 2006?3、The digits 1,2,3,4 and 9 are each used once to form the greatest possible even five-digit number. What is the digit in the tens place?4、Every edge of a cube is colored either red or green. In order to have at least one red edge on every face of the cube, find the minimum number of edges that must be colored red.5、When 31513 and 34369 are such divided by a certain 3-digit number, the remainders are equal. Find this remainder.6、Three signal lights were set to flash every certain specified time. The first light flashes every 12 seconds, the second flashed every 30 seconds and the third one every 66 seconds, the signal lights flash simultaneously at 8:30 am. At what time will the signal lights next flash。

英语奥数题10道

小外的考试中，每年都会有几道英文数学题，近两年更多的重点中学，在选拔的时候都考察到了英文数学题。

下面就是几道这种类型的题目，我们将分批次让大家提前感受小卷的必考题型之一——英文数学题。

做这种题目的时候，其实你不需要完全读懂题目的意思，而是应该根据自己所学的只是猜测题目需要求什么。

所涉及到的知识都是比较简单的奥数知识。

1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fal l in 2010?2、In a magic square the sum of the numbers in each row, in each diagonal and in e ach column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these i ntegers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed thefollowing figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) playedvolleyball. The worst player's twin (who is one of the four players) and thebest player are of opposite ***.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in whatposition in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.答案：1、Wednesday2、123、454、27(求数位上上的数字之和)5、28=9+9+10，因此答案为8106、36度7、1088、503-20=483 483=3×7×23=21×23，因此□ x Δ=483，因此此题余数是10.9、D10、25，20。

奥数题

1. A、B两只兔子进行跳跃比赛，A兔子每次跳4 米，B兔子每次跳2 米，他们每秒只能跳一次，从起点开始，每隔12 米有一个陷阱，它们同时出发，哪只兔子会先掉进陷阱？此时另一只跳了多少米？2. 有酒精含量为36%的酒精溶液若干，加了一定量的水后稀释为酒精含量为30%的溶液，如果再稀释到18%，那么还要加水的量是上次加水量得几倍？3. 某商贸公司，替客户出售货物收取销售额的3%作为服务费，代客户购买物品收取商品定价的2%作为服务费。

今有一客户委托该公司出售自产的某种产品和代为购置新设备，已知该公司共扣除了客户服务费264元，客户恰好收支平衡。

问所购置的新设备花费了多少元？4. 某出版社出版某种书，今年每册书的成本比去年增加10%，但售价不变，因此每本利润下降了30%，那么今年这种书的成本在售价中所占的百分数是多少？5.如图，在一个棱长为24厘米的正方体密闭容器的下底固定了一个实心圆柱体，容器内盛有m毫升水时，水面恰好经过圆柱体的上底面。

如果将容器倒置，圆柱体有8厘米露出水面。

已知圆柱体的底面积是正方体底面积的1/8，求实心圆柱体的体积。

1.用1元钱买15张邮票，有邮票4分、8分、1角三种，那么每种都必须买的话有多少种买法？2. 把7米长的钢筋，用4个分点评分，每段的长度是7米的（）3. 某种砖长24厘米，宽12厘米，高5厘米，用这样的砖堆成一个正方体，用的砖的块数可以是（）A.41B.120C.1200D.24004.计算：（11/4—5/7+5/28）*84+1015.1+2—3+4+5—6+7+8—9+……+601+602—603+604+605—6066.A和B都是高度为10厘米的圆柱形容器，底面半径分别为1厘米和2厘米。

一水龙头单独向A注水，用1分钟可以注满，现将两容器在它们高度一半处用一个细管连接（连接管的容积忽略不计），仍用该龙头向A注水。

问：（1）2分钟时，容器A中水的高度是多少？（2）3分钟时，容器A中水的高度是多少？7. 小华从A到B，先下坡再上坡共用7 小时，如果两地相距24千米，下坡每小时行4千米，上坡每小时行3千米，那么原路返回要多少小时？7.一项工程，甲一人需1小时36分完成，甲、乙二人合作要1小时完成。

二年级英语奥数题 100道(含答案)

二年级英语奥数题 100道(含答案)第一部分：语言运用1. —How many ____ do you see?—I see four.- birds- dogs- pens ✅- books2. —Excuse me, is this your _____?—No, it isn't.- book- ruler ✅- backpack- pencil3. ______ is my favorite color.- Blue ✅- Red- Yellow- Green...第二部分：数学题1. If you have 23 candies and you give 10 candies to your friend, how many candies do you have left?- 10- 13 ✅- 23- 332. What is the value of the digit 5 in the number 859?- 5- 50- 500 ✅- 50003. What is 33 + 48?- 81 ✅- 84- 88- 90...第三部分：写作题请根据下面的图片写一篇作文，介绍你最喜欢的季节。

（文章至少50个字）Sample Answer我最喜欢的季节是春天。

春天里，天气非常好，温度适宜，阳光明媚。

万物开始复苏，花儿开了，草儿绿了。

在春天里，我可以与朋友一起去公园里野餐、玩耍，也可以在户外尽情畅玩。

春天是开始新生活的季节，我热爱春天！结语以上是二年级的英语奥数题，希望你们都做得很好哦！。

小升初英语奥数题

英语数学题Part Ⅰ: Questions 1 to 10, 10 marks each1.At the right is shown a 4 × 4 grid. We wish to fill in the grid such that each row, each column, and each 2 × 2 square outlined by the thick lines contains the digits 1 through 4. Some grids have already been filled in. Find the number of ways we can complete the rest of the grid.Answer ：2.The areas of the faces of a cuboid are 84 cm 2, 70 cm 2 and 30 cm 2. Find the volume of the cuboid in cm 3.Answer ：3.The fractioncan be wrritten in the formwhere the greatest 3331113*********++++++++nmcommon divisor of m and n is 1, Find m +n . Answer ： 4.Find the sum of all the integers N > 1 with the properties that the each prime factor of N is either 2, 3, 5 or 7, and N is not divisible by any perfect cube greater than 1.Answer ：5.A large fresh water reservoir has two types of drainage system, small pipes and large pipes. 6 large pipes, on their own, can drain the reservoir in 12 hours. 3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours. How long will 5 small pipes, on their own, take to drain the reservoir?Answer ： minutes 6.At a local village gala, the entire population turned up, 500 people. The event raised £3,000. Tickets were priced as follows: £7.48 per man, £7.12 per woman and £0.45 per child. How many children were there?Answer ：7.Each of the distinct letters in the following addition problem represents a different digit. If A=4, find the number represented by the word “MEET”.Answer ：8.Let two 8×12 rectangles share a common corner and overlap. The distanceT M ER E C L O U E P E T P M +from the bottom right corner of one rectangle to the intersection point along the right edge of that rectangle is 7. What is the area of the shaded region?Answer ： 9.A spy had to send the 4-digit code to headquarters. For security reasons, he sent abcd instead the 9 separate 4-digit codes shown. In each of the 9 codes, at least one of the digits a , b , c , and d occurs in its correct position. What is the value of ?abcd Answer ：10.In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 such thatthe sum of every four consecutive numbers is divisible by 3?Answer ：Part Ⅱ: Questions 11 to 14, 20 marks each11.Town A and town B are connected by a highway, with a service station at the midpoint. Mikeand Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by 25% after he passes through the service station. When Sam reaches the service station, Mike is 15 km ahead of Sam. What’s the distance between A and B ?Answer ：12.Given: ABCD is a trapezoid, AD ∥BC , AD :BC =1:2, ,:1:3AOF DOE S S ∆∆=, Find the area of ．224cm BEF S ∆=AOF ∆Answer ：13.In how many different ways can the seven empty circles in the diagram onthe right be filled in with the numbers 2 through 8 such that each number is used once, and each number is either greater than both its neighbors, or less than both its neighbors.Answer ： 14.How many rectangles are there in the diagram on the right such that the sum of thenumbers within the rectangle is a multiple of 4?Answer ：CB1234567810141115129161315.What is the sum of the digits of the following product 9999×6666 ?Answer: ________16. A digit is placed in each empty square in the grid to the right so that each row contains each of the digits 1, 2, 3, 4, 5 and each column （纵队）contains each of the digits 1, 2, 3, 4, 5. What digit is placed in the square at the bottom right corner of the grid?Answer: ________17. If you continue the given number pattern, in what row will the number 2009 be? 7 -------------- row 1 14 21 -------------- row 2 28 35 42 -------------- row 3 49 56 63 70 -------------- row 4Answer: ________18. Dave can answer each problem on a certain test in 6 minutes. Michael can answer each problem in 1 minute. Suppose Michael rests for two hours in the middle of answering the problems but Dave works straight through the test without stopping. Suppose further that they finish the test at the same time. How long did it take Dave to answer all the problems?Answer: ________ minutes19. There are eight different 2-digit numbers , , , , , , and . AD BA BG CE DB DH EF FC They are less than 70 and all divisible by 7. Each of the distinct letters represents a different digit. The same letter represents the same digit. Given E =5, what is G ?Answer: ________20. There are 7 identical circles in the figure and each area is 10. Find the area of shaded region. Answer: ________21. In a certain class consisting of 54 students, some boys and some girls, exactlyof the boys 47and exactlyof girls walk to school. What is the greatest possible number of students in this 35class who walk to school?Answer: ________22. Each of the distinct letters in the following addition problem represents a different digit. If A=4, find the number represented by the word “MEET”.Answer: ________A T M E R E C L O U E P E T A A AA A P M+23. In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 such that the sum of every four consecutive numbers is divisible by 3?Answer: ________24. Balls of the same size and weight are placed in a container. There are red, yellow and blue 3 different colors and 15 balls in each color. If we want to get X red balls, Y yellow balls and Z blue balls from the container, with , then find the number of all possible 133X Y X Z Y ≥-≥-≥,,ways.Answer: ________25. Town A and town B are connected by a highway, with a service station at the midpoint. Mike and Sam start from A to B at the same time. When Mike reaches the service station, Sam is 16 km behind. Mike reduces speed by after he passes through the service station, and Sam increases 15speed byafter he passes through the service station. Finally, they arrive at B at the same time. 14What’s the distance between A and B ?Answer: ________26. Given: ABCD is a trapezoid, AD ∥BC , AD :BC =1:2, , :1:3AOF DOE S S ∆∆=, Find the area of ?224cm BEF S ∆=AOF ∆Answer: ________27. (1)How many rectangles are there in the diagram on the right such that the sum of the numbers within the rectangle is a multiple of 2?Answer: ________（请将答案填在答题纸第13题的位置处）(2) How many rectangles are there in the diagram on the right such that the sum of the numbers within the rectangle is a multiple of 4?Answer: ________（请将答案填在答题纸第14题的位置处）CB12345678101411151291613。

小升初最容易出的30道奥数题

工程问题1.甲乙两个水管独自开,注满一池水,分别需要20小时,16小时,丙水管独自开,排一池水要10小时,若水池没水,同时翻开甲乙两水管,5小时后,再翻开排水管丙,问水池注满还是要几多小时? 之马矢奏春创作2.修一条水渠,独自修,甲队需要20天完成,乙队需要30天完成.如果两队合作,由于彼此施工有影响,他们的工作效率就要降低,甲队的工作效率是原来的五分之四,乙队工作效率只有原来的十分之九.现在计划16天修完这条水渠,且要求两队合作的天数尽可能少,那么两队要合作几天?3.一件工作,甲,乙合做需4小时完成,乙、两合做需5小时完成.现在先请甲、丙合做2小时后,余下的乙还需做6小时完成.乙独自做完这件工作要几多小时?4.一项工程,第一天甲做,第二天乙做,第三天甲做,第四天乙做,这样交替轮流做,那么恰好用整数天完工; 如果第一天乙做,第二天甲做,第三天乙做,第四天甲做,这样交替轮流做,那么完工时间要比前一种多半天.已知乙独自做这项工程需17天完成,甲独自做这项工程要几多天完成?5.师徒俩人加工同样多的零件.当师傅完成了1/2时,徒弟完成了120个.当师博完成了任务时,徒弟完成了415这批零件共有几多个?6.一批树苗,如果分给男女生栽,平均每人栽6棵; 如果单份给女生栽,平均每人栽10棵.单份给男生栽,平均每人栽几棵?7.一个池上装有3根水管.甲管为进水管,乙管为出水管,20分钟可将满池水放完,丙管也是出水管,30分钟可将满池水放完.现在先翻开甲管,当水池水网溢出时,翻开乙,丙两管用了18分钟放完,当翻开甲管注满水是,再翻开乙管,而不开丙管,几多分钟将水放完?8.某工程队需要在规定日期内完成,若由甲队去做,恰好如期完成,若乙队去做,要超越规定日期三天完成,若先由甲乙合作二天,再由乙队独自做,恰好如期完成,问规定日期为几天?数字数位问题10 、把1至2005这2005个自然数依次写下来获得」一个多位数123456789..2005.这个多位数除|以9余数是几多?11.A和B是小于100的两个非零的分歧自然数.求A+B分之A-B 的最小值..12 ,已知AB.C都是非自然数,A2+B/4+C/16的近似值市6.4 那么它的准确值是几多?13.一个三位数的各位数字之和是17.其中十位数字比个位数字年夜1.如果把这个三位数的百位数字与个位数字对换得至」一个新的三位数,则新的三位数比原三位数年夜198,求原数.14.一个两位数,在它的前面写上3.所组成的三位数比原两位数的7倍多24,求原来的两位数.15.把一个两位数的个位数字与十位数字交换后获得一个新数,它与原数相加,和恰好是某自然数的平方,这个和是几多?16.一个六位数的末位数字是2,如果把2移到首位,原数就是新数的3倍,求原数.18.如果现在是上午的10点21分那么在经过28799.9一共有20个9)分钟之后的时间将是几点几分?19.有五对夫妇围成一圈,使每一对夫妇的夫妻二人动相邻的排法有( )20.若把英语单词hell的字母写错了则可能呈现的毛病共有()21.慢车车长125米,车速每秒行17米,快车车长140米,车速每秒行22米,慢车在前面行驶,快车从后面追上来,那么,快车从追上慢车的车尾到完全超越慢车需要几多时间?22.在300米长的环形跑道上,甲乙两个人同时同向并排起跑,甲平均速度是每秒5米,乙平均速度是每秒4.4米,两人起跑后的第一次相遇在起跑线前几米?23.一个人在铁道边,听见远处传来的火车汽笛声后,在经过57秒火车经过她前面,已知火车鸣笛时离他1360米,(轨道是直的),声音每秒传340米,求火车的速度(得出保管整数)24.猎犬发现在离它10米远的前方有一只奔跑着的野兔,马上紧追上去,猎犬的步子年夜,它跑5步的路程,兔子要跑9步,可是免子的举措快,猎犬跑2步的时间,兔子却能跑3步,问猎犬至少跑几多米才华追上兔子.25.AB两地,甲乙两人骑自行车行完全程所用时间的比是4:5如果甲乙二人分别同时从AB两地相对行使,40分钟后两人相遇,相遇后各自继续前行,这样,乙达到A地比甲达到B地要晚多少分钟?26.一船以同样速度往返于两地之间,它顺流需要6小时;逆流8小时.如果水流速度是每小时2千米,求两地间的距离?27.快车和慢车同时从甲乙两地相对开出,快车每小时行33千米,相遇是已行了全程的七分之四,已知慢车行完全程需要8小时,求甲乙两地的路程.28.小华从甲地到乙地.3分之1骑车3分之2搭车以乙地返回甲地.5分之3骑车.5分之2搭车,结果慢了半小时,已知,骑车每小时12千米搭车每小时30千米,问:甲乙两地相距几多千米?比例问题29.甲乙两人在河边垂钓,甲钓了三条,乙钓了两条,正准备吃,有一个人请求跟他们一起吃于是三人将五条鱼平分了,为了暗示感谢过路人留下10元,甲、乙怎么分?30,一种商品,今年的本钱比去年增加了10分之1,但仍坚持原售价,因此,每份利润下降了5分之2,那么,今年这种商品的本钱占售价的几分之几?。

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英语数学题1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.2、3、Inacertain town some people were affected by a ’flu’ epidemic. In the first month 20% of the population contracted the flu whilst 80% were healthy.In the following month 20% of the sick people recovered and 20% of the healthy people contracted the disease.What fraction of the population is healthy at the end of the second month 4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench. Mpho is not sitting on the far right. Barry is not sitting on the far left.Sipho is not sitting at either end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatima is not sitting next to Sipho. Sipho is not sitting next to Barry.Who is sitting at the far right5、Of the 28 T–shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T–shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T–shirts of the same colour6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means “maths in harmony” and darko klar farn means “good in gold”.What is “harmony gold” in this language7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in theclassroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows:Amelia: “Charles did not break it, nor did Devine.”Bongani: “I didn’t break it, nor did Devine.”Charles: “I didn’t break it, but Edwina did.”Devine: “Amelia or Edwina broke it.”Edwina: “Charles broke it.”Who broke the window8、Did you know A palindrome is a number which reads the same forwards as backwards . 35453. Next year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year9、If a b = (3×b) then the value of 2+(2×a) (3 5) is____. 10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 cm rectangle. What is the minimum distance, in centimetres, any one must cover before they meet again？参考答案：1、?单位换算，注意单词，90×10÷（3×60）＝52、?463、?4、?Erica5、?抽屉原则 76、?注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.7、?Charles8、?10019、?6710、?1081、Did you know In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, . 0 and 1.Which one of the following numbers is not a valid number in the octal number system (base 8)？A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3、If a and b are integers, 10??????????????and then 379?6 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : sum of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutive days is____6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 mbehind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished(Let’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm volume of the box in cm3? is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three？[Remember the weights may be placed on either side]参考答案：1、A 考察我们学过的简单的进制问题，显然8进制中没有8出现2、170 找规律，公式为n×（n-3）÷23、1 定义新运算，就是求379÷6的余数。

4、40，16和245、76、57、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/258、420 分解质因数9、13种1. Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle travel Choices for the smaller number: 147 151 159number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29 30 33clown weights 60 lb more than a trapeze artist. The trapeze artist weighs two thids as much as the clown. How much does each weigh choices for the weight of the trapeze artist : 110 120 1255. The . Senate has 100 memebers, all Democrats or Republicans. Recently there were 12 more Democrats than Republicans. How many Senators from each political party were there at that time Choices for the number of Republicans: 38 42 44ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there how many girls are there Choices for the number of boys: 191 202 2077. Elena has one and a half times as much money as they have 225. how much money does each haveChoices for Ramom's amount;80 90 958. Western state college is 18 years older than southern state. western is also 2 and the half times as old as southern. how old is each Choice for southern state's age:12 14 18answers:?????? 1.设较小数为x. x+x+57=185 x=64.2.设轿车行驶了x千米. 318+x=3x x=159千米轿车行驶了159千米,公车行驶了318+159=477千米.3.设较小数为x. 4x=x+87 x=29.+x=3x/2 x=120the number of Republicans be x. x+x+12=100 x=446.设有x名男生 x+x+17=431 x=207名有男生207名,女生431-207=224名.7.设Ramom有x元. x+3x/2=225 x=90元8.设southern states college 有x年历史. x+18=5x/2x=12年.。