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 product
999×555
5、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 the
following figure.
The size of angle .a. is______.
7、If the area of the shaded region of the regular hexagon in the diagram
below 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) 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 only
C) son and daughter only
D) lady and daughter only
E) lady only
10、If you continue the given number pattern, in what row and in what
position in that row will the number 320 be?
1 -------------- row 1
2 3 -------------- row 2
4 5 6 -------------- row 3
7 8 9 10 -------------- row 4
The answers are given in the order of row ; position.
答案：
1、Wednesday
2、12
3、45
4、27(求数位上上的数字之和)
5、28=9+9+10，因此答案为810
6、36度
7、108
8、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。
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。
几个有趣的奥数题及答案
几个有趣的奥数题及答案奥数题目通常具有挑战性，需要学生运用逻辑思维和数学技巧来解决。
以下是几个有趣的奥数题目及其答案：1. 问题一：一个数字由0到9这10个数字组成，每个数字恰好使用一次。
如果这个数字能被4整除，那么这个数字是什么？答案：这个数字是1029567438。
我们可以通过检查每个数字的组合来找到能被4整除的数字。
一个数字如果能被4整除，那么它的最后两位组成的数也必须能被4整除。
通过尝试，我们可以发现这个数字满足条件。
2. 问题二：一个班级有40名学生，每个学生至少参加一个兴趣小组。
如果数学小组有20人，英语小组有18人，且有5人同时参加了数学和英语小组，那么只参加数学小组的学生有多少人？答案：只参加数学小组的学生有15人。
根据容斥原理，数学小组和英语小组的总人数是20 + 18 - 5 = 33人。
由于班级总共有40人，所以只参加数学小组的学生数为40 - 33 = 7人。
但是，这7人包括了同时参加两个小组的5人，所以只参加数学小组的学生数是7 - 5 = 2人。
3. 问题三：一个长方体的长、宽、高分别是20厘米、15厘米和10厘米。
如果从这个长方体中切下一个最大的正方体，那么这个正方体的体积是多少？答案：这个正方体的体积是1000立方厘米。
由于正方体的所有边长相等，我们需要找到长方体三个维度中的最小值，即10厘米。
因此，正方体的体积是10厘米× 10厘米× 10厘米 = 1000立方厘米。
4. 问题四：一个数列的前5项是1, 1, 2, 3, 5，接下来的3项是什么？答案：接下来的3项是8, 13, 21。
这是一个斐波那契数列，其中每一项都是前两项的和。
因此，5 + 3 = 8，8 + 5 = 13，13 + 8 = 21。
5. 问题五：一个圆的半径是10厘米，一个正方形的边长等于这个圆的直径。
求正方形的面积。
答案：正方形的面积是200平方厘米。
圆的直径是20厘米，所以正方形的边长也是20厘米。
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。
英语奥数题
英语奥数题一、听力部分（共30分）1. 听单词，选出你所听到的单词。
（每题1分，共10题）（1）A. cat B. cap C. car。
答案：A。
解析：“cat”的发音为[kæt]，“cap”的发音为[kæp]，“car”的发音为[kɑː(r)]，根据听到的发音选择A。
（2）A. dog B. box C. fox。
答案：A。
解析：“dog”的发音是[dɒg]，“box”的发音是[bɒks]，“fox”的发音是[fɒks]，听到的是“dog”的发音所以选A。
（3）A. pen B. ten C. hen。
答案：A。
解析：“pen”的发音是[pen]，“ten”的发音是[ten]，“hen”的发音是[hen]，听到的是“pen”的发音，所以答案为A。
（4）A. book B. look C. good。
答案：A。
解析：“book”的发音是[bʊk]，“look”的发音是[lʊk]，“good”的发音是[gʊd]，听到的是“book”的发音，所以答案为A。
（5）A. red B. bed C. led。
答案：A。
解析：“red”的发音是[red]，“bed”的发音是[bed]，“led”不是正确的单词，听到的是“red”的发音，所以答案为A。
（6）A. big B. pig C. dig。
答案：A。
解析：“big”的发音是[bɪg]，“pig”的发音是[pɪg]，“dig”的发音是[dɪg]，听到的是“big”的发音，所以答案为A。
（7）A. cup B. cut C. but。
答案：A。
解析：“cup”的发音是[kʌp]，“cut”的发音是[kʌt]，“but”的发音是[bʌt]，听到的是“cup”的发音，所以答案为A。
（8）A. map B. tap C. lap。
答案：A。
解析：“map”的发音是[mæp]，“tap”的发音是[tæp]，“lap”的发音是[læp]，听到的是“map”的发音，所以答案为A。