小升初英语奥数题...

合集下载

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。

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。

2023年外国语学校小升初入学考试中英文奥数题库

外国语学校小升初英语奥数训练题第一部分1、三个素数旳倒数之和是20061155，则这三个素数中最大旳是多少？ 1. The sum of the reciprocals of three prime numbers is 20061155, so what is the greatestone among the three prime numbers?2、有一种分数，它旳分子加2，可以约简为74；它旳分母减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 itsdenominator subtracts 2, it can be reduced to be 2514. So what is this fraction?3、一种数分别除以1411，2110，4920，所得旳商都是自然数。

这个数最小是多少？3. A number is divided by 1411, 2110 and 4920respectively and the quotients are allnatural numbers. So what is the minimum value of this number?4、一片竹林，去年不开花旳竹子比开花旳2倍还多55棵，今年又多了100棵开花，这时开花旳竹子恰好是不开花旳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?（红色旳地方我有点不确定，葛老师您看看应当怎么翻）5、从12110181614121+++++中去掉两个分数，余下旳分数之和为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°。

小升初英语数学竞赛策略练习题40题

小升初英语数学竞赛策略练习题40题1.There are five apples and three oranges. How many fruits are there in total?A.SevenB.EightC.NineD.Ten答案：B。

本题考查数字的加法运算。

五个苹果加三个橘子，总数是八个。

A 选项是七，不符合；C 选项是九，不符合；D 选项是十，不符合。

2.There are ten pencils. Tom takes away three pencils. How many pencils are left?A.SixB.SevenC.EightD.Nine答案：B。

本题考查数字的减法运算。

十支铅笔拿走三支，还剩七支。

A 选项是六，不符合；C 选项是八，不符合；D 选项是九，不符合。

3.There are eight books on the desk. Lucy puts two more books on the desk. How many books are there on the desk now?A.TenB.ElevenC.TwelveD.Thirteen答案：A。

本题考查数字的加法运算。

八本书加上两本，现在桌上有十本书。

B 选项是十一，不符合；C 选项是十二，不符合；D 选项是十三，不符合。

4.There are twelve students in the classroom. Five students go out. How many students are left in the classroom?A.SevenB.EightC.NineD.Ten答案：A。

本题考查数字的减法运算。

十二个学生出去五个，还剩七个学生在教室里。

B 选项是八，不符合；C 选项是九，不符合；D 选项是十，不符合。

5.There are seven days in a week. How many days are there in two weeks?A.TenB.FourteenC.ElevenD.Twelve答案：B。

小升初英文奥数试题

小升初英文奥数试题2017精选小升初英文奥数7则试题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 meansmaths 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 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 tellthe truth. Their statements were as follows:Amelia: Charles did not break it, nor did Devine.Bongani: I didnt break it, nor did Devine.Charles: I didnt break it, but Edwina did.Devine: Amelia or Edwina broke it.Edwina: Charles broke it.Who broke the window?。

【优质文档】小升初英文奥数试题(二)-范文word版 (2页)

【优质文档】小升初英文奥数试题（二）-范文word版本文部分内容来自网络整理，本司不为其真实性负责，如有异议或侵权请及时联系，本司将立即删除！== 本文为word格式，下载后可方便编辑和修改！ ==小升初英文奥数试题（二）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 theoctal number system ( base 8)?A ) 128B ) 127C ) 126D ) 125E ) 1242、 The number of diagonals that can be drawn in a regularpolygon withtwenty sides ( icosagon ) is _____.3、 If a and b are integers , 103=1,1527=3, and then 3796 isequal 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 andlost 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 Afinishes , B is 10 m。

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。

小升初英文奥数试题

小升初英文奥数试题精选小升初英文奥数试题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 product 9995555、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 diagram below is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □ and are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by the remainder is 20.When 493 is divided by □ x the remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst players 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.。

小升初英语奥数题

小升初英文奥数考题有解析(三)

小升初英文奥数考题有解析（三）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 selectsT?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 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 brokeit.”Edwina: “Charles broke it.”Who brok e 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 theprevious palindromic year?9、If a Åb = (2×a)(3×b) then the value of 2 Å(3 Å5) 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。

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。

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。

小升初英文奥数题[1]

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 worst player and the best player are of the same cannot be the worst player(s)?
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。

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。

小升初英文奥数模拟考题附带解析(三)

小升初英文奥数模拟考题附带解析(三)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 selectsT?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 th is 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 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 brokeit.”Edwina: “Charles broke it.”Who b roke 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 theprevious palindromic year?9、If a Åb = (2×a)(3×b) then the value of 2 Å(3 Å5) 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。