小升初英文奥数题11.doc
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。
小升初英语类数学题汇总及答案
小升初英语类数学题专项练习（一）1、An ant ant（蚂蚁）（蚂蚁）（蚂蚁） covers covers covers a a distance distance of of 90 metres metres in in 3 hours. hours. The The The average average average speed speed speed of of the ant in decimetres ant in decimetres（分米）（分米）（分米） per minute is____. per minute is____.2、3、In In a a a certain certain certain town town town some some some people people people were were were affected affected affected by by by a a a ’’flu flu’’ epidemic epidemic（流感）（流感）（流感）. . . In In In the the first month 20% of the population contracted the flu whilst 80% were healthy. In In the the the following following following month month month 20% 20% 20% of of of the the the sick sick sick people people people recovered recovered recovered and and and 20% 20% 20% of of of the the the healthy healthy healthy people people contracted the disease.What fraction What fraction（分数）（分数）（分数） of the population is healthy at the end of the second month? 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 （公园长椅）（公园长椅）. . Mpho is not sitting on the far right. Barry is not sitting on the far left. Sipho is not sitting at either end （两头）（两头）. Erica is sitting to the right of Barry, . 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 Of the 28 T––shirts in a drawer （抽屉）（抽屉）, six are red, five are blue, and the rest , 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 remove from from the drawer drawer to to be sure that he has three T –shirts of the same colour?6、In an alien language In an alien language（外语）（外语）（外语）, jalez borg farn means , jalez borg farn means “good maths skills good maths skills””. Nurf klar borg means klar borg means ““maths in harmony maths in harmony”” and darko klar farn means and darko klar farn means ““good in gold good in gold””. What is What is ““harmony gold 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 statement（陈述）（陈述）（陈述） about about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows: Amelia: Amelia: ““Charles did not break it, nor did Devine.” Bongani: Bongani: ““I didn I didn’’t break it, nor did Devine.t break it, nor did Devine.”” Charles: Charles: ““I didn I didn’’t break it, but Edwina did.t break it, but Edwina did.”” Devine: Devine: ““Amelia or Edwina broke it.Amelia or Edwina broke it.”” Edwina: Edwina: ““Charles broke it.Charles broke it.”” Who broke the window?8、Did you know? A palindrome （回文数）（回文数） is a is a is a number which reads number which reads number which reads the same forwards the same forwards the same forwards as as backwards e.g. 35453. The 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 = 、If a Åb = a+3a+3a+3×b then the value of 2+2 Å(3 Å5) is____. ×b then the value of 2+2 Å(3 Å5) is____.1010、、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 must cover before they meet again?小升初英语类数学题专项练习（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 the octal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____. 翻译：正20边形的对角线有几条？边形的对角线有几条？4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum to 5 : 7.The sum（和）（和）（和） of the two original numbers is____. of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutive days is____翻译：连续45天内，最多有几个星期一？天内，最多有几个星期一？6、Saul Saul plays plays plays a a a video video video game game game in in in which which which he he he scores scores scores 4 4 4 for for for a a a hit hit hit and and and lost lost lost 6 6 6 for for for a a miss. miss. After 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 from A when A finished?(Let A finished?(Let’’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangular box （长方体盒子）（长方体盒子） are 84 are 84 cm 2, 70 cm 2and 30 cm 2.The volume of the box in cm 3is____.9、You have 3 weights You have 3 weights（砝码）（砝码）（砝码）: 1 kg, 3 kg and 9 kg as well as an equal arm balance : 1 kg, 3 kg and 9 kg as well as an equal arm balance （天平）（天平）. How many different weight objects can you weigh with these three? . How many different weight objects can you weigh with these three? [Remember the weights may be placed on either side]小升初英语类数学题专项练习（三） 1.1.Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.2.A bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle （车辆）（车辆） travel? Choices travel? Choices travel? Choices for the smaller for the smaller for the smaller number: 147 151 number: 147 151 number: 147 151 159 1593.One 3.One number number number is is four four times times times another another another number. number. number. The The larger larger number number number is is also also 87 87 87 more more more than than the smaller number. Find the numbers. Choices for the smaller number: 29 30 334.A clown clown（小丑）（小丑）（小丑） weights weights 60 lb lb（磅）（磅）（磅） more more than a trapeze artist artist（空中飞人）（空中飞人）（空中飞人）. . The trapeze artist weighs two thids as much as the clown. How much does each weigh? choicesfor the weight of the trapeze artist : 110 120 1255. The U.S. Senate 5. The U.S. Senate（参议院）（参议院）（参议院） has 100 members, all Democrats has 100 members, all Democrats has 100 members, all Democrats（民主党人）（民主党人）（民主党人） or or Republicans Republicans（共和党人）（共和党人）（共和党人）. . Recently Recently there there were 12 more Democrats Democrats than than Republicans. Republicans. How How many Senators from each political party were there at that time? Choices for the number of Republicans: 38 42 446.The ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there? how many girls are there? Choices for the number of boys: 191 202 2077. Elena has one and a half times as much money as Ramon.Together they have 225. how much money does each have?Choices for Ramom's amount;80 90 958.8.Western state college is 18 years older than southern state. western is also 2 and the half times as old as southern. southern. how old how old how old is is is each? Choice for each? Choice for each? Choice for southern state's southern state's age:12 14 18【2015年洛阳二外小升初真题】年洛阳二外小升初真题】1. When my dad celebrated his 31st birthday, I was 8 years old. Now my dad is twice the age of I am. What the age of I am. What’’s my age now?2. A bottle of juice sells at the price of 1 Yuan. The juice is worth 0.9 Yuan more than the bottle is. How much does an empty bottle cost?3. Can you add the operations to the formula to make it correct?8 __ 4 __ 2 __ 9 = 254. Please put the following numbers into the circles so that you get 40 when you add all the numbers on each side of the triangle? 6, 18, 6, 9, 8, 7, 19, 4, 215. Mr. and Mrs. Bing has 7 daughters, each daughter has a brother. How many sons do Mr. and Mrs. Bing have?6. What 6. What’’s the next number?4, 6, 10, 18, 34, _____【2013年洛阳二外小升初真题】年洛阳二外小升初真题】1.There 1.There are are are some some some chickens chickens chickens and and and rabbits rabbits rabbits in in in a a a cage(cage(cage(笼子）笼子）笼子）.You .You .You can can can see see see 9 9 9 heads heads heads at at at the the the top topand 24 feet at the bottom. How many chickens and rabbits are there in the cage?（6分）分）2.100 students were in a math contest(contest(竞赛）竞赛）竞赛）.The .The average average（平均数）（平均数）（平均数） of of their final score （分数）（分数） is is 63.The 63.The average average average of of the boy boy’’s score is 60.The average average of of the girl girl’’s score is 70.How many of them are boys? How many of them are girls? （8分）分）3.Jack and Jim are friends. The ratio(ratio(比）比）比）of of Jack Jack’’s and Jim Jim’’s pocket money is 3:2.If Jack gives Jim 10 yuan, the ratio of their pocket money will become 5:4.So how much money does Jack have?money does Jack have?（（8分）分）4.Mike has a lot of apples. He needs to get them to town and sell them. It takes(花费）费）3 days to get all the apples to town with 8 big trucks. It takes 8days to get 75% 3 days to get all the apples to town with 8 big trucks. It takes 8days to get 75% of the apples to town with 5 small trucks. Now Mike has 3 big trucks and 4 small trucks, how many days will it take to get all the apples to town?（8分）分）小升初英语类数学题专项练习（一）参考答案1、单位换算、单位换算 90 90 90××1010÷（÷（÷（33×6060）＝）＝）＝5 52、 463、 25174、 Erica5、 抽屉原则抽屉原则 7 76、 注意一一对应，注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. darko=gold. 答案是答案是Nurf darko.7、 Charles8、 2002-1991=11 9、 58 1010、、 36小升初英语类数学题专项练习（二）参考答案1、A A 考察我们学过的简单的进制问题，显然考察我们学过的简单的进制问题，显然8进制中没有8出现出现2、170 170 找规律，公式为找规律，公式为n ×（×（n-3n-3n-3）÷）÷）÷2 23、3 3 就是求就是求379减去6的平方的差的各位数。
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。
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。
小升初英语奥数专题
Page 17
1. If half of a number is 30, then threequarters of that number is ________.
Page 18
2. The sum of the digits of the following product 999*555 is ________.
80 %
eighty percent
基数词 + percent
half / (百)分数 + of + 可数名词复数 谓语动词用复数
half / (百)分数 + of + 不可数名词 谓语动词用单数
3.78
three point seven eight
Page 15
倍数表达
一倍 三倍
once，两倍 twice， three times (三倍或以上
基数词＋times)
This box is five times as big as that one. =This box is four times bigger than that one.
① A + be + 倍数 + as +adj.原+ as +B. A是B的 …倍… ② C + be + 倍数 + adj.比+ than +D. C比D … …倍
3
2. Which is smaller 36 or 63? 3. Put these into order – smallest to biggest 21 12 9 19 10
4. What is 14 – 11? 5. Subtract 10 from 13
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.。
小升初英文奥数试题
小升初英文奥数试题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 p roduct999×5555、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 diagra 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 is 20.When 503 is divided by Δ the remainder i s 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 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 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.。
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。
小升初英语智力题,数学题和答案
1.Why is the letter E so important?2.Why are the letter G and letter S in "gloves" close to each other?3.What letter is an animal ?4.What letter is a question?5.What does everybody do at the same time?6.Who works only one day in a year but never gets fired?7.How many sides does a circle have?8.What animal can jump as high as a tree?9.What falls often but never gets hurt?10.Which month has 28 days?11.How can you make 6 out of three 7's?12.How can you make 6 out of three 5's?13.how can you make 1000 out of eight 8's?14.A police officer had a brother ,but the brother had no brother.How could that be?15.Have you heard the saying: what goes up must come down?16.You can see it, but you can't touch it. It may disappear, but has never really left you. It grows throughout the day. What is it?17.What common English verb becomes its own past tense by rearranging its letters?18.What can run but never walks, has a mouth but never talks, has a head but never weeps, has a bed but never sleeps?19.What object has keys that open no locks, space but no room, and you can enter but not go in?20.What two words have the most letters in it?Answers:1.Because it's the begining of everything!2.Because there is love between them!3. It's the letter B!4. It's the letter Y!5. Grow old!6. Santa Claus 圣诞老人7. Two. The inside and the outside!8. All animals,for trees can't jump!9. Snowflakes!10. Every month has at least 28 days!11.easy . 7- 7/7=6!12. easy. 5+5/5=6!13. easy. 8+8+8+8+88+888=1000!14. The police officer was a lady!15.your age16.shadow17.eat or ate18.a river19.a keyboard20.post office1.If the number"abcdefgh"times"h"is"111111111",then what numbereach letter for?What is the total number of a,b,c,d,e,f,g and h?如果abcdegh乘h等于111111111，求a,b,c,d,e,f,g,h分别是多少2. A construction site工地has got 5 trucks of cement.[si'ment] 水泥In each truck is X tons. When 13tons are used up,7tons are left. What is X?3. If the area of the shaded region阴影区域of the regular hexagon ['heksəgən, 'heksə.gən]六边形in the diagram图表below is 36 cm 2, the area of the whole hexagon in cm2 is （）4. Sometimes chickens eat some tiny stones, because（）A they can get some minerals from the stonesB they can't tell the differences between tiny stones and grainsC tiny stones can help them digestD they like playing wth stones5. What can you find from the words and numbers? 4, 6 and 8 is not good. You drink from 1, 2 and 3. Don’t 8, 7, 5 and 3 a glass, it will break.1 2 3 4 5 6 7 8C U P B O A R D6.It is a very popular sport in Spain. Some people are against it because it is bloody. In the sport, the player, called " matador", is dressed up and uses a piece of red cloth to irritate the animal. Very often people get hurt in the sport or the animal dies. What sport is it?A BoxingB WrestlingC BullfightD Judo['dʒu:dəu]柔道7.Each of the letters A, D, E, K, S, W and Y represents a different one of the digits 0,1,2,3,4,5,6,7 and 8 such that DAYS ×7=WEEK . What digit does E represent?8.The sequence序列below is arranged by using numbers 1,2,and 3 only: 1,2,2,3,3,3,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,1,1,1,1,1,1,1,…What is the 100th number?9.The figure图形，数字as shown is made up of three squares正方形of sides 3cm,5cm,and 7cm respectively分别的.Find the area of the shaded triangle三角形.10.Two boys, Dudi and Gani, run back and forth来回的反复的between two points A and B at a constant['kɔnstənt]不变的speed with out stopping.Dudi’s speed is 1.5 times Gani’s speed. Dudi runs from A to B while Gani from B to A.They both start at the same time.The two boys meet for the first time at 800 meters away fromB.How fat are the boys from A when they meet for the second time?11.A triangle is partitioned[pa:'tiʃənd]分配的，隔离的into threetriangles and a quadrilateral[.kwɔdri'lætərəl]四边形by drawing two lines from vertices顶角to their opposite sides.The areas of the three triangles are 8,7and 7,as shown.What is the area of the shaded quadrilateral?12.Naokl wrote nine tests, each out 100.His average on these nine tests is 68. If his lowest mark is omitted省略, what is his highest possible resulting average?13.On the straight way leading to the castle, the general将军arranged 31 soldiers along this road. The distances between neighboring two soldiers are 1/30 mile, 1/29 mile, 1/28mile, 1/27mile,…1/2mile, 1 mile in turn. Please find the sum总数of distances between any two soldiers.在通往城堡的笔直的道路上，将军安排了31名哨兵，他们从城堡门口开始，依次排在道路上，相邻两名哨兵之间的距离顺次为1/30米，1/29米。
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。
英文奥数题
英文奥数题英文奥数题把正确答案填到横线上。
1. Subtract 10 from 40 is _________2. What is the total of 13 and 5 ? ________3. How much less is 12 than 20? _________4. What is ? of 8? _________5. What is next in the pattern?12 10 8 6 ?___________6. How much more is 15 than 9? ___________7. Add 3, 4, and 1 ___________8. Take 12 from 18 ___________9. Share 10 between 2 ___________10. Subtract 10 from 13 ____________11. Divide 9 by 3 ____________12.Which is smaller 36 or 63? ___________13.Put these into order – smallest to biggest 21 12 9 19 10 _______________________________14.What is 14 – 11? _______________15.Subtract 10 from 13 _______________16.What fraction is not shaded? ________________17.How many minutes in an hour? _______________18.What is 3 + 11? _______________19.Continue the pattern 21 – 19 – 17 – 15 - ? ________________20.M T W Th F Sa Su1 2 3 4 56 7 8 9 10 11 12 What day will it be on the 20th? _________________21.Double 5 ____________22.How many pennies in a pound? ________________23.What fraction is not blue? __________________24.What is one more and less of 17? _______________25.How many days are in a week? _______________26. 4. John is 10 – Ann is 2 years younger , and Don is 1 year older than she is. How old is Don? ______________27.Which are odd? 26 21 25 24 20 ________________28.Which are even? 18 19 11 28 _____________29.Draw an arrow facing West _________________30.Draw a rectangle ________________31.What is the difference between 8 and 15? ______________32.How many sides has a hexagon? _____________33.How many sides has an octagon? ________________34.How much less is 14 than 19? _______________35.How much more than 3 is 20? _______________36.I have no corners and 2 faces? _______________37. Which is missing?________38. I have 3 corners and 3 sides _____________39. How seconds in ? a minute? _____________40I am 3D shape with 2 edges, 2 circular faces and one other. Draw me __________________41Draw a line of symmetry on this shape42. Which numbers are missing? ____________43. Jane is half as old as me. I am 22 ，how old is Jane? _________________答案：1~5 30 18 8 4 4 6~10 6 8 6 5 3 11~15 3 36 (9,10,12,19,21) 3 3 16~20 1/4 60 14 13 Monday 21~25 10 100 1/3 16 and 18 726~30 9 (21 25) (18 28) or 31~35 7 6 8 5 1736~40 31 30 41~43 (56 and 65) 11。
小升初英语奥数题...
常用数学术语的英语表达：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三角形的底 the base of a triangle三角形的两个腰 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 圆的直径 the diameter of a circle 圆的半径 the radius of a circle 半圆 a semicircle弧 an arc 圆柱体 a cylinder球体 a spheroid常用加减乘除的英语表达：四加五等于九 If you add 4 to 5, you get 9.或：If you add 4 and 5, you get 9.五与四的和是九 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 6.二与三的积为六 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.比较两个数字大小的英语表达：6大于5 6 is greater than 5.或：6 is more than 5. 6小于7 6 is less than 7.平方、立方及四次方的英语表达：3的平方等于9 The square of 3 is 9.3的立方等于27 The cube of 3 is 27.3的四次方等于81 The fourth power of 3 is / equals 81.平方根立方根的英语表达：9的平方根为3 The square root of 9 is 3.27的立方根为3 The cube root of 27 is 3.正比反比的英语表达：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.两直线平行或垂直的英语表达：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 equilateraltriangle 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 numberis____. 4、The sum of the digits of the following product 999×5555、Three positive integers have a sum of 28. The greatest possible productthat these integers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed the followingfigure. 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 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) 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.（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 the octal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon 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 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 cm2and30 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 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 ofBarry,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 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 2002 is an example of a palindromic number. What is the difference between 2002 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（二）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。
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。
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小升初英文奥数题 1 1、I n 2004, 1 6 June falls on a Wednesday. On what dayof the week will 16 June fall in201 0?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 999x 5554、Three positive integers have a sum of 28. The greatest possible product thatthese integers can have is __________ .5、I n what follows, □ and △are different numbers.When 503 is divided by □ the remainder is20.When 503 is divided by △the remainder is 20.When 493 is divided by □ x A t he 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 only B) daughter only C) son and daughter only D) lady and daughter only E) 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 123 ---------------------- row 2456 ---------------------- r ow3 7 8 9 10 ----------------------- row 4The answers are given in the order of row ; position.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=3x 7x 23=21x 23, lilllta x A=483,因Uhl 七题余数是10. 6、D 7、25, 20 2009小升初英文奥数题[2]1、Did you know? I n the decimal number system (base 1 0) 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)? A) 1 28B) 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, 1 0A3= 1,152A7= 3, and then 379A6 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 consecutive daysis ____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 1 00 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 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 30cm2.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, asshown. 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nx (n-3)-23、1定义新运算，就是求379-6的余数。
4.40,16和24 5、7 6、5 7、28米，根据距1、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I n 2004, 1 6 June falls on a Wednesday. On what day of the week w山16 June fall in 2010?翻2004年6月16号是星期三，那么2010年6月16号是星期儿呢？2004 年6月16号是星期三，那么2010年6月16号是星期几呢？还是星期三平年365+7=52......1 闰年366-7=52......2 所以若第二年为平年，则那年的今天星期序号是现年今天后一天；闰年则后两天。
2005, 2006, 2007, 2009, 2010 为平年,2008 为闰年于是加起来应该多7天，叩一个星期，所以还是星期三前面几位仁兄方法是对的，但错在多加了一天。
04年为闰年没错，但它多的一天在2月，而题目给出的是6月了，所以不应该再加那一天回答者：ydxf回答时间：2009-04-09 21:34:28举报In 2004, 1 6 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?翻2004年6月16号是星期三，那么2010年6月16号是星期儿呢？回答者:少女时光回答时间:2009-04-09 21:38:04举报今年小丽的年龄是她妈妈年龄的2/7, 5年后，小丽的年龄将是她妈蚂的3/8,今年小丽多少岁？Xiaoli this year is the age of her mother's age two seventhjive year s later, Xiaoli age will be her mother's three eight. Xiaoli how old this year?回答者:hfm051回答时间:2009-04-09 21:40:32举报—•般每年的初一和初二希望杯数学竞赛初赛有2道用英语表述的数学题，一道选择题，一道填空题，你可以在网上找一下。
另外为了提高阅读用英语写的数学文章，你可以找一些与初等数学有关的原版数学教材进行课外阅读。
2、Atl0:30,the angle less than 180°Formet by hourhand and minuteHand ofa normal clock is(英汉词典：angle角;less than小于;tofrom形成；hour hand时针;Minuti hand分针；normal正常，正规；clock钟，时钟)上而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。
3、 1 N Tn 2004, 16 June falls on a Wednesday. On what day of the week wi 11 16 Junefall 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 999X5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is.5、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 A the remainder is .A lady, her brother, her son and her daughter (al 1 related by birth) played volleybal 1. 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 --------------- r ow 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：K 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8105、503-20二483 483=3X7X23=21 X23,因此□ x ^=483,因此此题余数是10.6、I)7、25, 204、1、Did you know? Tn 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 (base8)?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, 10®3=l,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 to5 : 7. The sum of the two original numbers is.5^ The greatest number of Mondays which can occur in 45 consecutive days is6、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 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 wel 1 as an equal arm balance, as shown. How many di fferent weight objects can you weigh wi th 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nX (n-3) 4-23、1定义新运算，就是求379^6的余数。