外国语学校小升初入学考试中英文奥数题库1
外国语学校小升初入学考试中英文奥数试题库
外国语学校小升初入学考试中英文奥数试题库Document number:PBGCG-0857-BTDO-0089-PTT1998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20061155,则这三个素数中最大的是多少 1. The sum of the reciprocals of three prime numbers is 20061155, so what is the greatest one among the three prime numbers2、有一个分数,它的分子加2,可以约简为74;它的分母减2,可以约简为2514。
这个分数是多少 2. There is a fraction. If its numerator adds 2, it can be reduced to be 74; if its denominator subtracts 2, it can be reduced to be 2514. So what is this fraction 3、一个数分别除以1411,2110,4920,所得的商都是自然数。
这个数最小是多少 3. A number is divided by 1411, 2110 and 4920 respectively and the quotients are all natural numbers. So what is 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12110181614121+++++中去掉两个分数,余下的分数之和为1。
关于小升初英文奥数试题及答案
小升初英文奥数试题及答案关于小升初英文奥数试题及答案近两年很多重点中学,在小升初的时候都考察英文奥数题,比如爱知中学的双语班考试。
需要提醒同学们的是,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。
希望同学们克服害怕的心理,考出好成绩。
1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?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 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 is 20.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.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。
小升初英文奥数试题及答案
小升初英文奥数试题及答案一、选择题(每题2分,共10分)1. Which of the following is the largest prime number?A. 15B. 17C. 19D. 21Answer: B2. What is the sum of the interior angles of a triangle?A. 180 degreesB. 360 degreesC. 90 degreesD. 120 degreesAnswer: A3. If a train travels at a speed of 60 km/h for 2 hours, how far does it travel?A. 120 kmB. 100 kmC. 80 kmD. 60 kmAnswer: A4. The ratio of boys to girls in a class is 3:2. If there are18 boys, how many girls are there?A. 12B. 24C. 6D. 8Answer: A5. What is the next number in the sequence: 3, 6, 11, 18, 29, ...?A. 43B. 37C. 50D. 52Answer: A二、填空题(每题3分,共15分)6. The product of two prime numbers is always _______.Answer: composite7. If the area of a rectangle is 36 square meters and its length is 9 meters, what is the width?Answer: 4 meters8. The smallest multiple of a number is _______.Answer: the number itself9. In a set of numbers {2, 4, 6, 8, 10}, the median is_______.Answer: 610. If you roll a fair six-sided die, the probability of rolling an even number is _______.Answer: 1/2 or 0.5三、解答题(每题10分,共20分)11. A farmer has 24 apples. He wants to divide them equally among his 4 children. How many apples does each child get?Answer: Each child gets 6 apples.12. Solve the following equation for x:2x + 3 = 9Answer: To solve for x, first subtract 3 from both sides of the equation:2x + 3 - 3 = 9 - 32x = 6Then divide both sides by 2:x = 6 / 2x = 3四、应用题(每题15分,共30分)13. A library has 3 times as many fiction books as non-fiction books. If there are 180 fiction books, how many non-fiction books are there?Answer: If the library has 180 fiction books and this number is 3 times the number of non-fiction books, we canfind the number of non-fiction books by dividing the numberof fiction books by 3:Number of non-fiction books = 180 / 3 = 60 books14. A car travels 120 miles in 3 hours. What is the speed of the car in miles per hour?Answer: To find the speed of the car, we divide the total distance traveled by the total time taken:Speed = Distance / TimeSpeed = 120 miles / 3 hours = 40 miles per hour五、附加题(20分)15. In a school, there are 120 students in total. 2/3 of the students are boys, and the remaining are girls. If eachstudent plants one tree, how many trees are planted in total?Answer: First, we find the number of boys in the schoolby calculating 2/3 of 120:Number of boys = (2/3) * 120 = 80 boysSince the remaining students are girls, we subtract the number of boys from the total number of students to find the number of girls:Number of girls = Total students - Number of boysNumber of girls = 120 - 80 = 40 girlsNow, we know that each student plants one tree, so thetotal number of trees planted is the total number of students: Total trees planted = Number of boys + Number of girlsTotal trees planted = 80 + 40 = 120 trees End of the Test。
小升初的英文奥数试题
小升初的英文奥数试题小升初的英文奥数试题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 arewhite. 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 kl ar farn means “good in gold”.What is “harmony gold” in this language?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 theevent, 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 b = (2×a)?(3×b) then the value of 2 (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 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、 108。
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°。
外国语学院小升初考试题及答案
外国语学院小升初考试题及答案第一部分:听力理解1. 以下哪个单词的中文意思是“桌子”?A. table(锅)B. chair(椅子)C. desk(书桌)D. bed(床)正确答案:C2. 听录音,根据所听内容完成下面的句子。
今天天气很_________。
正确答案:好3. 听录音,选出正确的图片。
![Image](image_url)正确答案:B第二部分:阅读理解阅读下面的短文,然后回答问题。
Michael 是一个八岁的小男孩。
他有一个妹妹,名叫Lisa,她比他小两岁。
Michael 和 Lisa 都喜欢读书,他们每晚都一起看故事书。
除了读书外,Michael 还喜欢踢足球,而 Lisa 则喜欢弹钢琴。
他们每天都一起做作业,互相帮助。
4. Michael 和 Lisa 是否喜欢读书?A. 是B. 否正确答案:A5. Michael 喜欢什么运动?A. 踢足球B. 弹钢琴C. 读书D. 做作业正确答案:A6. Lisa 喜欢什么乐器?A. 吉他B. 鼓C. 钢琴D. 小提琴正确答案:C第三部分:写作请根据下面的提示,写一篇介绍你的家人的短文。
提示:你的姓名、年龄;你家有几口人;你的家人的职业或爱好;你最喜欢的家人是谁,为什么。
范例参考:我叫小明,今年十岁。
我家有四口人,爸爸、妈妈、妹妹和我。
爸爸是医生,妈妈是老师,妹妹才三岁,还在上幼儿园。
我最喜欢的家人是妈妈,因为她非常关心我,总是给我最好的建议。
参考答案1. C2. 好3. ![Image](image_url)4. 是5. 踢足球6. 钢琴。
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 quotient?4)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= 0.86 ( 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 trees?3.At the end of 2005 walter was half as old as has grandmother.The snm of the years in which they were born is 3860 .how old will walter be at the end of 2006? 4.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 will 16 June fall in 2010?2、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 product that these integers 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 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) 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 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.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##**##***************###############·········****#####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°。
外国语学校小升数学初考试题及答案
外国语考试题一、填空(每题4分,共40分)3用循环小数表示,小数点后第2012位上的数字是。
1、272、有一个数,被3除余2,被4除余1,那么这个数除以12余。
3、一个真分数的分子和分母相差102,若这个分数的分子和分母都加上1,这个真分数是。
23,所得的新分数约分后得44、4时10分,时针和分针的夹角是度。
5、从1开始2012个连续自然数的积的末尾有个连续的零。
11,如果从甲筐取出7.5千克放入乙筐,6、有两筐苹果,甲筐占总数的203,甲筐原来有千克苹果。
这时乙筐占总数的57、一个三角形的三个内角之比为1:2:3,则这个三角形是三角形。
1倍,蕾8、蕾蕾读一本252页的书,已读的页数等于还没有读过页数的22蕾读过页。
9、2个篮球的价钱可以买6个排球,6个足球的价钱可以买3个篮球,买排球、足球、网球各1个的价钱可以买1个篮球,那么,买1个篮球的价钱可以买个网球。
10、某班有60人,他们着装白色或黑色上衣,黑色或蓝色裤子,其中有12人穿白色上衣蓝裤子,有34人穿黑裤子,29人穿黑上衣,那么穿黑上衣黑裤子的有人?二、计算题(每题5分,共20分)1、0.125×7.37+81×3.63-12.5×0.12、1174×(232-43)+1211÷21173、7131314268161674⎛⎫-+÷⨯ ⎪⎝⎭ 4、345345345345246123123123123⨯ 三、应用题(每题8分,共40分)1、果果和妈妈一起去超市,买洗漱用品花了总钱数的51多100元,买小食品花了余下的31少20元,又买了一个600元的饮水机,正好花完所带的钱,果果妈妈一共带了多少钱?2、甲、乙两人同时从山脚开始爬山,到达山顶后就立即下山,他们两人的下山的速度是各自上山速度的1.5倍。
而且甲比乙速度快,甲到达山顶时,乙离山顶180米,当乙到达山顶时,甲恰好下到半山腰,那么山脚到山顶多少米?3、一项工作,甲、乙两人合作8天完成,乙、丙两人合作9天完成。
小升初英文奥数题试题详解
小升初英文奥数题试题详解小升初英文奥数题11、In 2021, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2021?2、If half of a number is 30, then three-quarters of that number is____.3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.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_____.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.Theworst player and the best player are of the same age.Who cannot be the worst players?A brother onlyB daughter onlyC son and daughter onlyD lady and daughter onlyE lady only7、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.参考答案:1、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、D7、25,20感谢您的阅读,祝您生活愉快。
小升初英文奥数模拟考题附带解析(一)
小升初英文奥数模拟考题附带解析(一)1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?2、If half of a number is 30, then three-quarters of that number is____.3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.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_____.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 theworst player(s)?A) brother onlyB) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only7、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.参考答案:1、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□ xΔ=483,因此此题余数是10. 6、D 7、25,20。
小升初英语奥数题
小升初英文奥数题(1)1、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) 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_____.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。
冲南外奥数中英版数学试卷
1.The areas of the faces of a cuboid are 84 cm 2, 70 cm 2 and 30 cm 2. Find the volume of thecuboid in cm 3.Answer :一个立方体的各个表面积是84平方厘米,70平方厘米和30厘米,这个立方体的体积是多少立方厘米?2.The fraction333133113311113333can be wrritten in the formn mwhere the greatestcommon divisor of m and n is 1, Find m+n. Answer :分数333133113311113333可以写成n m,m 和n 最大的共同的除数是1,m+n 等于多少?3.At a local village gala, the entire population turned up, 500 people. The event raised Tickets were priced as follows: £7.48 per man,£7.12 per woman and£0.45 per child. Howmany children were there? Answer :在一个本地的盛会上,所有的人口500人,筹集了3000元,票价为:男人每人7.48元,女人每人7.12元,儿童每人0.45元,有多少个儿童?4.Let two 8×12 rectangles share a common corner and overlap. The distance from the bottomright 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? 让两个8×12的长方形一个角重叠,从一个长方形底部右角到另一个长方形的右边交叉点的距离是7,阴影部分的面积是多少?12128785. A spy had to send the 4-digit codeabcd to headquarters. For security reasons, hesent 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 :一个间谍发送一个四位数的密码,abcd 给总部,由于安全原因,他发送了9个不同的四位数密码(如图)来代替,这9个密码中, a,b,c,d,中至少有一个位置是正确的,abcd的值是多少?6.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 :有多少种方法排列数字21, 31, 41, 51, 61, 71 和81,使得每四个连续数字的和能被3整除?7.Given: ABCD is a trapezoid, AD ∥BC , AD:BC =1:2, :1:3AOFDOES S, 224cm BEFS, Findthe area of AOF .Answer :8.已知ABCD 是一个梯形,AD ∥BC , AD:BC =1:2, :1:3AOFDOESS , 224cm BEFS, 求AOF 的面积.9.In how many different ways can the seven empty circles inthe diagram on the 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 :用2-8填入右边图表中的七个空的圆圈中,每个数字只能使用一次,并且每个数字要大于它左右相邻的两个数字或者小于左右相邻的两个数字,有多少种填法?10.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 :CBA DEFO 1 2 3 4 5 6 7 8 10 1411 1512 9 1613在右边的图表中,有多少个长方形能使得长方形内的数字的和是4的倍数?11.What is the sum of the digits of the following product 9999×6666 ? Answer: ________9999×6666乘积各数位的和是多少?12.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 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: ________一个数字放在右边格子的空四边形中,使得每一行包含1, 2, 3, 4, 5中的每一个数字,每一列也包含1, 2, 3, 4, 5中的每一个数字,在格子底部右下角的正方形中填什么数字?13.If you continue the given number pattern, in what row will the number 2009 be?7 -------------- row 114 21 -------------- row 228 35 42 -------------- row 349 56 63 70 -------------- row 4Answer: ________按下列数字的规则,数字2009将会有哪一排?14.There are 7 identical circles in the figure and each area is 10. Find the area of shaded region. Answer: ________在图表中有7个相同的圆,每个圆的面积是10,求阴影部分的面积。
小升初英文奥数题及答案
小升初英文奥数题及答案小升初英文奥数题及答案1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?2、If half of a number is 30, then three-quarters of that number is____。
3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____。
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_____。
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 player(s)?A) brother onlyB) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only7、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。
深圳外国语学校小升初英语试卷及答案
一、基础知识大比拼(一)词汇(Vocabulary)Ⅰ. 按要求变换下列单词。
(5分)1. swim (现在分词)______________2. one (复数)________________3. say (第三人称单数)_____________4. see(过去时)_____________5. it’s (同音词)______________6. leave(反义词)______________7. wear(同音词) ______________8. right(同音词)______________9. Thursday(上一天)_______________10. I would(缩写)____________II. 根据所给的词的正确形式填空( 5分)1. This is my _________ (two) day in Shanghai.2. He _______ (has) lunch now.3. December is the ________ (12) month of a year.4. I usually get up at 6:30 and then brush my _______(tooth).5. They are ________________ (woman teacher).III.选择适当的选项替换句中划线部分,使其意思不变。
5分)( ) 1. Thank you .A. You’re welcomeB. ThanksC. That’s OK( ) 2. This is a full bag .A. one is fullB. is a full oneC. box is full ( ) 3. Good morning , boys and girls .A. classB. boysC. girls( ) 4. Is this pen broken ? No, it’s OK.A. right B、nice C. all right( ) 5. Is everyone here today ?A. Everyone is here today .B. We are all here today .C. Are we all here today ?(二)交际用语(Daily English)I. 从II 栏中找出与I栏相对应的答语。
外国语学校小升初入学考试中英文奥数试题库
精心整理外国语学校小升初英语奥数训练题第一部分1155,则这三个素数中最大的是多少?1、三个素数的倒数之和是20061155, so what is 1. The sum of the reciprocals of three prime numbers is20064. 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12110181614121+++++中去掉两个分数,余下的分数之和为1。
这两个分数是哪两个分数? 5. Take out two fractions from 12110181614121+++++ to make the sum of remaining fractions to be 1. So what are these two fractions?多少?9. There is a prime number p, which can make p+2 and p+4 to be prime numbers as well. So what is the result of 41211++++p p p ? 10、 彼此不等且大于0的偶数a ,b ,c ,d 满足a+b+c+d=20,这样的偶数组(a,b,c,d)共有多少组?10. There are four different even numbers a, b, c and d, which are all greater than 0. If they should satisfy the equation of a+b+c+d=20, how many groups of such even numbers (a, b, c, d) are there?11、在一个两位数的中间加上一个0,得到的新数比原来大8倍,原来的两from A to B? (One can only walk up or towards left)13、小马虎在考试中做一道计算题时,将一个数乘9错算成除以9,接着又将加上30错算成减去30,结果得18,如果按正确的运算顺序,所得的结果是多少?13. When doing a calculation in an exam, a careless student madesome mistakes. Rather than multiplying a number by 9 and then adding 30, he divided the number by 9 and then subtracted 30, so that the result was 18. If he did the calculation correctly, what would the result be?5,后来又往袋里放了6个红球,这时红14、袋里有若干个球,其中红球占12speak “I’m” twice?第二部分1、一条船顺水航行48千米,再逆水航行16千米,共用了5小时;这条船顺水航行32千米,再逆水航行24千米,也用了5小时。
小升初英文奥数题[1]
5、In what follows, □ and Δ are different 503 is divided by □ the remainder is 503 is divided by Δ the remainder is 493 is divided by □ x Δ the remainder is_____.
3、The sum of the digits of the following product 999×555
4、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.
参考答案:
1、Wednesday 2、45 3、27(求数位上上的数字之和)4、28=9+9+10,因此答案为810
5、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、25,20
1 -------------- row 1
2 3 -------------- row 2
小升初英文奥数题试题详解
小升初英文奥数题试题详解小升初英文奥数题试题详解小升初英文奥数题11、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?2、If half of a number is 30, then three-quarters of that number is____.3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.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_____.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 player(s)?A) brother onlyB) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only7、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.参考答案:1、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、D7、25,20。
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20061155,则这三个素数中最大的是多少? 1. The sum of the reciprocals of three prime numbers is 20061155, 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74;它的分母减2,可以约简为2514。
这个分数是多少?2. There is a fraction. If its numerator adds 2, it can be reduced to be 74; if its denominator subtracts 2, it can be reduced to be 2514. So what is this fraction?3、一个数分别除以1411,2110,4920,所得的商都是自然数。
这个数最小是多少? 3. A number is divided by 1411, 2110 and 4920 respectively and the quotients are all natural numbers. So what is 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12110181614121+++++中去掉两个分数,余下的分数之和为1。
小升初的时候都考察英文奥数题。
最近两年很多重点中学,尤其是市重点,在小升初的时候都考察英文奥数题。
需要提醒同学们的是,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。
希望同学们克服害怕的心理,考出好成绩。
我们后面还会陆续推出,请家长同学们及时关注。
1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?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 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 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 only D) 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.。
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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20061155,则这三个素数中最大的是多少? 1. The sum of the reciprocals of three prime numbers is 20061155, so what is the greatest one among the three prime numbers?2、 有一个分数,它的分子加2,能够约简为74;它的分母减2,能够约简为2514。
这个分数是多少?2. There is a fraction. If its numerator adds 2, it can be reduced to be 74; if its denominator subtracts 2, it can be reduced to be 2514. So what is this fraction?3、 一个数分别除以1411,2110,4920,所得的商都是自然数。
这个数最小是多少? 3. A number is divided by 1411, 2110 and 4920 respectively and the quotients are all natural numbers. So what is 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12110181614121+++++中去掉两个分数,余下的分数之和为1。
这两个分数是哪两个分数?5. Take out two fractions from12110181614121+++++ to make the sum of remaining fractions to be 1. So what are these two fractions?6、 一个整数与它的倒数的和等于20.05,这个整数是多少?它的倒数是多少?6. The sum of an integer and its reciprocal is 20.05, so what is this integer and what is its reciprocal?7、 四个非零自然数的和为38,这四个自然数的乘积的是小值是多少?最大值是多少?7. The sum of four nonzero natural numbers is 38, so what can the minimum product of these four natural numbers be? And what can the maximum product be?8、 已知a 是质数,b 是偶数,且a 2+b= ,则a+b+1结果是多少?8. It is known that a is a prime number and b is an even number and that a 2+b= , so what is the result of a+b+1?9、 一个质数p ,使得p+2,p+4同时都是质数。
则41211++++p p p 的结果是多少?9. There is a prime number p, which can make p+2 and p+4 to be prime numbers as well. So what is the result of 41211++++p p p ?10、 彼此不等且大于0的偶数a ,b ,c ,d 满足a+b+c+d=20,这样的偶数组(a ,b ,c ,d )共有多少组?10. There are four different even numbers a, b, c and d, which are all greater than 0. If they should satisfy the equation of a+b+c+d=20, how many groups of such even numbers (a, b, c, d) are there?11、 在一个两位数的中间加上一个0,得到的新数比原来大8倍,原来的两位数是多少?11. Add a “0” to the middle place of a double-digit number, so that the new three-digit number is 8 times more than the original number. So what is the original double-digit number?12、 如图,从A 到B 有多少条不同的路线?(只能向上或向左走)BA12. As shown in the picture, how many different ways are there to go from A to B? (One can only walk up or towards left)13、 小马虎在考试中做一道计算题时,将一个数乘9错算成除以9,接着又将加上30错算成减去30,结果得18,如果按正确的运算顺序,所得的结果是多少?13. When doing a calculation in an exam, a careless student made some mistakes. Rather than multiplying a number by 9 and then adding 30, he divided the number by 9 and then subtracted 30, so that the result was 18. If he did the calculation correctly, what would the result be?14、 袋里有若干个球,其中红球占125,后来又往袋里放了6个红球,这时红球占总数的21。
现在袋里有多少个球?14. There are some balls in a bag and the red balls account for125 of the total amount. After adding another6 red balls into the bag, the red balls account for 21 of the total amount. So how many balls are there in the bag now?15、 有1567名同学排成一排玩游戏,从排头到排尾按顺序说“我”“最”“棒”3个字(每人说一个字),再从排尾到排头重新按顺序说这3个字,其中有多少人两次都说“我”这个字?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 then speaking these three words from the end of the row to the head of it. So, how many students speak “I’m ” twice?第二部分1、 一条船顺水航行48千米,再逆水航行16千米,共用了5小时;这条船顺水航行32千米,再逆水航行24千米,也用了5小时。
求这条船在静水中的速度。
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 downstream and 24 km upstream. So what is the speed of this boat in still water?2、 有一所学校,男生占学生总人数的53,学生总人数与男生人数都是三位数,组成这两个三位数的六个数字正好是1、2、3、4、5、6。
问:这所学校有多少学生? 2. In a school, boy students account for 53 of all the students. It is known that the number of all the students and the number of boys are both three-digit numbers and the six digits making up these two three-digit numbers are 1, 2, 3, 4, 5 and 6. So how many students are there in this school?3、 六个小朋友在一起做游戏。
她们每人想一相整数写在卡片上交给老师,老师用不同的方式把其中5人写的数加在一起,得到以下6个数:87、92、98、99、104、110。
那么卡片上写的数中最接近平均数的是什么数?3. Six children play games. Each of them writes down an integer on a card and gives the card to a teacher. The teacher adds up any 5 of the six numbers in different ways and gets the following six numbers: 87, 92, 98, 99, 104 and 110. So what number on the six cards is closest to the average number?4、现在一副去掉大小王的扑克牌,共52张。