英语奥数题(终审稿)
英语奥数试题及答案
英语奥数试题及答案试题一:根据题目,如果一个数的平方等于其数字的平方和,这个数被称为“完全平方数”。
例如,25是一个完全平方数,因为 \( 5^2 + 2^2 = 25 \)。
找出下一个完全平方数。
答案:下一个完全平方数是 \( 50^2 \),即 2500。
因为 \( 5^2 + 0^2 = 25 \),而 50 的数字平方和为 \( 5^2 + 0^2 = 25 \),所以\( 50^2 = 2500 \)。
试题二:在数学中,如果一个数的立方等于其数字的立方和,这个数被称为“完全立方数”。
例如,1和8是完全立方数,因为 \( 1^3 = 1 \) 和 \( 2^3 + 0^3 + 0^3 = 8 \)。
找出下一个三位的完全立方数。
答案:下一个三位的完全立方数是 216,因为 \( 2^3 + 1^3 + 6^3 = 8 + 1 + 216 = 225 \),而 \( 216^3 = 8^3 \times 2^3 + 1^3 + 6^3 = 512 + 1 + 216 = 728 \)。
试题三:在英语中,有些单词可以颠倒顺序后形成另一个单词,例如 "level"(水平)和 "level"(水平)。
找出一个由五个字母组成的单词,它可以颠倒顺序后形成另一个单词。
答案:一个例子是 "deed"(行为)和 "deed"(行为)。
颠倒顺序后仍然是"deed"。
试题四:如果一个数的数字可以重新排列以形成另一个数,并且这两个数的和是一个完全平方数,这个数被称为“可重组数”。
找出一个两位数的可重组数。
答案:一个两位数的可重组数是 42,因为 42 和 24 是可重组的,并且它们的和 \( 42 + 24 = 66 \) 是一个完全平方数,即 \( 8^2 \)。
试题五:在英语中,有些单词是回文,即它们正读和反读都是一样的。
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。
英语奥数题10道(教师版)xuhong
1. The school planted willows every 5 meters on one side of the sidewalk which is in front of the teaching building, from the beginning to the end of the sidewalk, there were 10 willows in total, How long is the sidewalk?(植树问题)5×(10-1)=45(米)2. Fan fan spends 30 seconds climbing from the first to the third floor, if he keeps his speed, how long it will take for Fan fan to climb to the seventh floor in total?(上楼梯问题)30÷(3-1)=15(秒)15×(7-3)=20(秒)3. Mr. Wang cut a bundle of wires for 8 times, The length of each section is 10 meters, How long is this wire?(锯木头问题)(8+1)×10=90(米)4.Wang gang has cocks and hens ,the number of the chickens is 45 in total, the number of cocks is 4 times of the hens, how many hens and cocks does Wang gang have?(和倍问题)45÷(4+1)=9只……母鸡9×4=36只……公鸡5. A transports flour and rice; its total weight is 2450 kg , the weight of rice is 2 times and 50 kg more than flour; what's the weight of the rice and flour respectively? (和倍问题)(2450-50)÷(2+1)=800千克……面粉800×2+50=1650千克……大米6. There are 840 apple trees、pear trees、peach trees in a orchard, the number of pear trees is 2 times to the peach trees, the apple trees is 3 times to the peach trees . What's the number of these three kinds of trees respectively? (和倍问题)840÷(1+2+3)=140棵……桃树140×2=280棵……梨树140×3=420棵……苹果树7. The age of A 4 years ago is the age of B 6 years later, the sum of age of A 4 years later and the age of B 3 years ago is 37. How old is A and B now?(年龄问题)解:设B今年的年龄为x岁,则A的年龄为(x+4+6)岁,(X+4)+(X-3)=37X=1313+4+6=23岁8. The sports department spent 340 Yuan in buying 5 footballs and 2 volleyballs. The price of volleyball is 12 Yuan cheaper than the price of football. How much is the football?(鸡兔同笼)(340+12×2)÷(5+2)=52元9. the following is a multiplication formula, each letter stands for a number, different letters represent different digital, A is not 0,then,what"s the numbers A,B,C,D stands for?(算式谜)A=1,B=7,C=5,D=810. The teacher wants give some sweets to some children, if give each children 4 , then there will be 20 more. if give each children 5, there will be 5 less, please calculate the number of the children and the sweets.(盈亏问题)(20+5)÷(5-4)=25人25×4+20=120块。
全新的小学英语奥数题
1、An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant? Optional: Also solve for a square, octahedron, icosahedron, and dodecahedron.AnswerThe answer is 10.If the spider started at a corner diagonally on the same face as the ant the answer would be 9, and if the spider started at an adjacent corner the answer would be 7.Here are answers for other figures:Square: 4Octahedron: 6Dodecahedron: 35Icosahedon: 152、(无答案)、(无答案)The principal of a new elementary school sounded the alarm for fire training. It took a very long time to empty the building. It was evident that the schoolchildren were at ri sk. The school has three exterior doors. The main door is served by a wide corridor, th e side door by a narrower corridor, and the rear door by a dog-legged corridor.By experimenting with the classrooms adjacent to each of these doors, it was determin ed that:About 1.5 minutes elapse between the announcement of an emergency and the first de parture through each door.Students and staff can file through the doors at these rates approximately 55 per minut e through the main door, 30 per minute through the side door, and 25 per minute through the rear door.About 450 persons are inside the building.Calculate for the problem the minimum time until the building emptiesa.4.1b.1.5c.5.3d.5.6e.8.183、Ahmad bought 4 boxes of marbles and 5 packs of cards for $12.30. John bought 3 packs of cards and 2 packets of drinks for $8.70. Soon Lee bought 2 boxes of marbles, 5 packs of cards and 3 packets of drinks. How much did Soon Lee pay altogether?(Ahmad 买了4盒弹子,5盒卡片,合计12.30; John 买了3盒卡片,2包饮料,合计8.7; 不久,Lee 买了2盒弹子,5盒卡片和3包饮料,请问Lee 总共化了多少?)多少?)4、joshua and corrine had an equal amount of money. joshua spent $15 per day while corrine spent $28. when joshua had $180 left corrine had $76 left. how much did corrine had at first?(Joshua 和 Corrine 有相等数量的钱,Joshua 每天化15 而Corrine 每天化28, 当Joshua 剩180时Corrine 只剩下76,请问Corrine 开始的时候有多少钱?)5.Mr Tan had 1.5 litre of white paint in Tin A and 1.25 litre of blue paint in Tin B. He poured 750 ml of blue paint from Tin B into Tin A. Next, he poured some of the mixture in Tin A back into Tin B. if 7/11 of the final mixture in Tin B was made up of blue paint, what was the volume of the mixture in Tin A that Mr Tan had poured into Tin B?(Mr Tan 有一罐1.5升白漆(Tin A), 一罐1.25 升蓝漆(Tin B). Mr Tan 从B 罐里倒出750ml 蓝漆到A 罐,接着,他又把混合在A 罐里的漆倒回到B 罐。
新版苏教版小学四年级英语上册四年级期末奥数题
新版苏教版小学四年级英语上册四年级期末奥数题第一部分:选择题(每小题1分,共10分)1. What is the sum of 387 and 233?A. 620B. 500C. 610D. 62002. What is the difference between 365 and 87?A. 278B. 267C. 275D. 2773. Which is the smallest?A. 0.29B. 0.298C. 0.285D. 0.2954. Which is the largest?A. 4/5B. 1/2C. 6/7D. 5/65. Which describes the shaded part of the figure below?![figure](figure.png)A. halfB. one-thirdC. one-fourthD. one-fifth6. Anne has 56 dolls. She gives 9 dolls to Lily and 14 dolls to Mary. How many dolls does Anne have left?A. 23B. 26C. 33D. 437. John has 4 3/4 meters of satin. He used 2 1/4 meters to make a dress, how many meters are left?A. 2 1/4B. 2 1/2C. 1 2/3D. 28. A flower costs $4 each, and a planter costs $9 each. Miranda has $100 to spend on flowers and planters. What is the maximum number of flowers and planters she can buy?A. 20 flowers and 5 plantersB. 16 flowers and 8 plantersC. 12 flowers and 9 plantersD. 10 flowers and 10 planters9. 12 people are going on a picnic. They need 3 loaves of bread and 48 slices of cheese. Each loaf has 14 slices of bread. What fraction of the bread is left after the picnic?A. 2/7B. 3/7C. 4/7D. 5/74 ÷ ? = 1A. 5B. 3C. 4D. 2第二部分:填空题(每小题1分,共20分)1. 6-5+3=?2. 69÷3-7=?3. 50-18-22=?4. 6×7-19=?5. ¾ ÷ 4 =?6. 1/5 + 1/4=?7. 2/3 × 5 + 1/6 =?8. 273÷39 =?9. 8.4×5+3.2=?10. 引起火灾的原因包括:明火不离、玩火、打火机、__________________、超负荷待机电器。
小学英语数学奥数试卷
一、选择题(每题2分,共20分)1. 下面哪个单词的发音与其他三个不同?A. bookB. lookC. cookD. lock2. 下列哪个数是质数?A. 15B. 16C. 17D. 183. 下面哪个图形是正方形?A. ①B. ②C. ③D. ④(图中①为圆形,②为三角形,③为正方形,④为长方形)4. 下列哪个国家不是英语国家?A. 英国B. 美国C. 中国D. 澳大利亚5. 下列哪个词组表示“数学”?A. EnglishB. MathC. ScienceD. History6. 下列哪个数是偶数?A. 23B. 24C. 25D. 267. 下面哪个句子是正确的?A. I have two apples.B. I have two pen.C. I have two pencils.D. I have two pens.8. 下面哪个图形是立体图形?A. ①B. ②C. ③D. ④(图中①为平面图形,②为长方体,③为正方体,④为圆柱体)9. 下列哪个数是两位数?A. 10B. 100D. 1000010. 下面哪个单词表示“加法”?A. minusB. plusC. multiplyD. divide二、填空题(每题2分,共20分)11. 5 + 3 = _______,10 - 4 = _______,8 × 2 = _______,20 ÷ 5 =_______。
12. There are _______ days in a week. _______ is the longest month in a year.13. 2 × 3 = 6, 6 ÷ 2 = _______,3 × 4 = _______,4 ÷ 2 = _______。
14. My birthday is on _______ of June. There are _______ weeks in a month.15. I have _______ pencils. I need _______ more pencils.三、解答题(每题10分,共30分)16. 小明有10个苹果,小红有5个苹果,他们两个一共有多少个苹果?17. 小华的数学成绩提高了,从原来的85分提高到95分,提高了多少分?18. 一个长方形的长是8厘米,宽是5厘米,求这个长方形的面积。
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。
2023年小升初英文奥数题
小升初英文奥数题一1、In 2023, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2023?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 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 what position in that row will the number 320 be?1 -------------- row 123 -------------- row 2456 -------------- row 3789 10-------------- row 4The answers are given in the order of row ; position.翻译:4. 三个正整数之和为28,他们积的最大值是(810) 9*9*10=8105. □和△代表不同数字,503/□的余数是20,503/△的余数是20,那么493/(□×△)的余数是(10或493)这个题出得有点问题, 503-20=483=3*7*23,假如□×△>493,例如21*69,则余数为493 ,不然为106.一位女士,她兄弟,她的儿子和女儿(都是亲的)打排球.最差球手的孪生同胞和最佳球手异性,最差球手和最佳球手同龄,谁不也许是最差球手(之一)?A.只有兄弟B.只有女儿C.只有儿子和女儿D.只有女士和女儿E.只有女士也就是说最差球手和最佳球手同性且同龄,最差球手是双胞胎之一,这样只有一种也许:儿子是最差,女士的弟弟与儿子同龄是最佳备选答案中似乎没合适的6.如过继续下面的数字列表,320在第几行,以及该行的什么位置(也就是第几列)1.....................第1行2,3...................第2行4,5,6.................第3行7,8,9,10.. (4)按照"行,列"的形式给出答案:(25,20)参考答案:1、Wednesday详解:In 2023, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2023? 翻2023年6月16号是星期三,那么2023年6月16号是星期几呢?2023年6月16号是星期三,那么2023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)所以若次年为平年,则那年的今天星期序号是现年今天后一天;闰年则后两天。
英语奥数题10道
小外的考试中,每年都会有几道英文数学题,近两年更多的重点中学,在选拔的时候都考察到了英文数学题。
下面就是几道这种类型的题目,我们将分批次让大家提前感受小卷的必考题型之一——英文数学题。
做这种题目的时候,其实你不需要完全读懂题目的意思,而是应该根据自己所学的只是猜测题目需要求什么。
所涉及到的知识都是比较简单的奥数知识。
1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fal l in 2010?2、In a magic square the sum of the numbers in each row, in each diagonal and in e ach column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these i ntegers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed thefollowing figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) playedvolleyball. The worst player's twin (who is one of the four players) and thebest player are of opposite ***.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in whatposition in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.答案:1、Wednesday2、123、454、27(求数位上上的数字之和)5、28=9+9+10,因此答案为8106、36度7、1088、503-20=483 483=3×7×23=21×23,因此□ x Δ=483,因此此题余数是10.9、D10、25,20。
2020年关于小升初英文奥数试题及答案
2020年关于小升初英文奥数试题及答案1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?2、In a magic square the sum of the numbers in each row, in each diagonal and in each column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed thefollowing figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagrambelow is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □and Δare different numbers.When 503 is divided by □the remainder is 20.When 503 is divided by Δthe remainder is 20.When 493 is divided by □x Δthe remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) playedvolleyball. The worst player's twin (who is one of the four players) and thebest player are of opposite ***.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter 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。
小升初英文奥数题及答案
小升初英文奥数题及答案小升初英文奥数题及答案1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?2、If half of a number is 30, then three-quarters of that number is____。
3、The sum of the digits of the following product 999×5554、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____。
5、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____。
6、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and the best player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother onlyB) daughter onlyC) son and daughter onlyD) lady and daughter onlyE) lady only7、If you continue the given number pattern, in what row and in whatposition in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position。
外国语学校小升初入学考试中英文奥数试题库
精心整理外国语学校小升初英语奥数训练题第一部分1155,则这三个素数中最大的是多少?1、三个素数的倒数之和是20061155, so what is 1. The sum of the reciprocals of three prime numbers is20064. There is a bamboo forest. Last year, the non-blooming bamboos were two times and 55 more than the blooming bamboos. With another 100 bamboos blooming this year, the blooming bamboos are four times as many as the non-blooming bamboos. So, how many bamboos are there in this forest?(红色的地方我有点不确定,葛老师您看看应该怎么翻)5、 从12110181614121+++++中去掉两个分数,余下的分数之和为1。
这两个分数是哪两个分数? 5. Take out two fractions from 12110181614121+++++ to make the sum of remaining fractions to be 1. So what are these two fractions?多少?9. There is a prime number p, which can make p+2 and p+4 to be prime numbers as well. So what is the result of 41211++++p p p ? 10、 彼此不等且大于0的偶数a ,b ,c ,d 满足a+b+c+d=20,这样的偶数组(a,b,c,d)共有多少组?10. There are four different even numbers a, b, c and d, which are all greater than 0. If they should satisfy the equation of a+b+c+d=20, how many groups of such even numbers (a, b, c, d) are there?11、在一个两位数的中间加上一个0,得到的新数比原来大8倍,原来的两from A to B? (One can only walk up or towards left)13、小马虎在考试中做一道计算题时,将一个数乘9错算成除以9,接着又将加上30错算成减去30,结果得18,如果按正确的运算顺序,所得的结果是多少?13. When doing a calculation in an exam, a careless student madesome mistakes. Rather than multiplying a number by 9 and then adding 30, he divided the number by 9 and then subtracted 30, so that the result was 18. If he did the calculation correctly, what would the result be?5,后来又往袋里放了6个红球,这时红14、袋里有若干个球,其中红球占12speak “I’m” twice?第二部分1、一条船顺水航行48千米,再逆水航行16千米,共用了5小时;这条船顺水航行32千米,再逆水航行24千米,也用了5小时。
英语奥数真题及答案
英语奥数真题及答案英语奥数真题及答案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) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3、If a and b are integers, 10?3=1,152?7=3, and then 379?6 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.5、The greatest number of Mondays which can occur in 45 consecutivedays is____6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.7、Three girls A, B and C run in a 100 m race. When A finishes,B is 10 mbehind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three?[Remember the weights may be placed on either side]参考答案:1、A 考察我们学过的简单的.进制问题,显然8进制中没有8出现2、170 找规律,公式为n×(n-3)÷23、1 定义新运算,就是求379÷6的余数。
3 25英语奥数
3 25英语奥数1. When is the exact time the minute hand and hour hand to be a right angle,between eight o’clock and nine o’clock. (八时27又3/11 分)2. There are 18 insects which are spiders, dragonflies and cicadas. They have118 legs and 20 pairs of swing. How many insects of each of them?3. 1/6□2=1/6×1/71/4□3= 1/4×1/5×1/61/5□4 =1/5×1/6×1/7×1/8Please: 1/2□4 – 1/4□3 =__________________.1/n□4 = 1/1680 what is “n”_________________.4. Any vary eight natural numbers, is that possible to have sixnatural numbers X1, X2, X3, X4, X5, X6, to make (X1-X2).(X3-X4).(X5-X6) is the multiple of 105, why?根据意思写谚语Write the aphorism according to the meaning.1. When we meet the difficulty, if you don’t forward you will have to fall back.__________________________.2. You can tell what kind of person he is with the time passing by.__________________________.3. To study is just like climb mountains and cross the ocean, you have to bediligent and hard working.__________________________.4. Practice makes perfect.__________________________.排序arrange the right order.1.Qing Dynasty, Song Dynasty, Ming Dynasty, Tang Dynasty____________________________________________________________.2.Watch the lanterns, pay respects to sb at his tomb, pay a New Year call, toenjoy the full moon, have a competition of dragon boat race.____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ _3.nuclear energy, coal, wood, oil_________________________________________________________4.cursive handwriting, inscriptions on bones or tortoise shells of the ShangDynasty;standard script of handwriting;inscriptions on ancient bronze objects____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ 成语write the idiom.1.3322_______________________________________________________2.one five _________________________________________________3.111111 _____________________________________________________4.0000 _______________________________________________________5.12345 ______________________________________________________6.1234569 ____________________________________________________7.1256789___________________________________________________8.7086 ______________________________________________________9.six nine _____________________________________________________。
英文奥数题
英文奥数题1. An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.2. The Ancient Romans used the following different numerals in thei number system:They used these numerals to make up numbers as follows:So, for example, XCIX is 99.What is the value of XLVI?3. In a certain town some people were affected by a ’flu’ epidemic. In the first month 20% of the populationcontracted the flu whilst 80% were healthy.I n the following month 20% of the sick people recovered and 20% ofthe healthy people contracted the disease. What fraction of the population is healthy at the end of the secondmonth?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 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 thathe 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 awindow. The teacher asked each of them to make a statement about the event, knowing that three of them alwayslie and two always tell the truth. Their statements were as follows:Amelia: “Charles did not break it, nor didDevine.”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 year2002 is an example of a palin dromic number. What is the difference between 2002 and the number of the previouspalindromic year?9、If a Åb = (2×a)+(3×b) then the value of 2 Å(3 Å5) is____.9. Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst theother walks around a 6 cm by 3 cmrectangle. What is the minimum distance, in centimetres, any one must coverbefore 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、67第9题图:试题二1. Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write allthe numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.Which one of the following numbers is not a valid number in theoctal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242. The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3. If a and b are integers, 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 thetwo 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 is30. 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 Afinished?(Let’s assumeall the athletes run at a constant speed)8. The areas of the faces of a rectangular box are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3is____.9. You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weightobjects can you weigh with these three?[Remember the weights may be placed on either side]参考答案:1. A 考察我们学过的简单的进制问题,显然8进制中没有8出现2. 170 找规律,公式为n×(n-3)÷23. 1 定义新运算,就是求379÷6的余数。
小学英语奥数3
2009年南京外国语学校英语综合能力测试试卷答案注解))年南京外国语学校英语综合能力测试试卷((答案注解1.本试卷满分150分,考试时间90分钟。
2.请考生用蓝黑色钢笔或圆珠笔答题。
3.请考试用英文或者数字答题,将答案写在答题纸相应的位置上。
第一部分:温故知新(14分)同学们,请根据学过的英语课本中的内容把下列句子补充完整,注意要使语法正确哦!每空一词。
The_____1_light___on my right is not very bright tonight. 注:6AUnit5 原文,注意单词押韵,结尾-ight Get the mouse on my__2_blouse __out of the house. 注:6B Unit3 原文,注意单词押韵,结尾-ouse How many brown cows did you see just_____3_now__? 注:6B Unit5 原文,注意单词押韵,结尾-owThe girl with the yellow bowl is watching snow by the____4__window__. 注:6B Unit6 原文,注意单词押韵,结尾-owHis sweater is black.Mine is_______5___white_____. 注:5-9填反义词。
His pen is long,mine is_____6___short_____.His bag is big,mine is_____7_small____.He is tall.I am____8_short___.His cat is thin,my cat is ___9__fat___.The seasonsIn_____10_autumn__,when the leaves start to fall, 注:6B Unit5 原文,四季I like to run, jump and kick a ball.In______11__winter__,when there's lots of snow,I stay at home and wait for____12_spring_____,And the fine weather it's going to bring.I wait for __13_summer___when the sun is hot,Then I can play games and swim a _____14_lot_____. 注:注意单词押韵,结尾-ot第二部分:欢乐校园(11分)一、情景交际,礼貌用语。
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英语奥数题公司内部档案编码:[OPPTR-OPPT28-OPPTL98-OPPNN08]英语数学题1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.2、3、Inacertain town some people were affected by a ’flu’ epidemic. Inthe 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 month4、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 thefar left.Sipho is not sitting at either end. Erica is sitting to the right of Barry,but not necessarily next to him. Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry.Who is sitting at the far right5、Of the 28 T–shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T–shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T–shirts of the same colour6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means “maths in harmony” and darko klar farn means “good in gold”.What is “harmony gold” in this language7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in theclassroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows:Amelia: “Charles did not break it, nor did Devine.”Bongani: “I didn’t break it, nor did Devine.”Charles: “I didn’t break it, but Edwina did.”Devine: “Amelia or Edwina broke it.”Edwina: “Charles broke it.”Who broke the window8、Did you know A palindrome is a number which reads the same forwards as backwards . 35453. Next year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year9、If a b = (3×b) then the value of 2+(2×a) (3 5) is____. 10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 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、4、Erica5、抽屉原则 76、注意一一对应,borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.7、Charles8、10019、6710、1081、Did you know In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, . 0 and 1.Which one of the following numbers is not a valid number in the octal number system (base 8)A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon withtwenty sides (icosagon) is_____.3、If a and b are integers, 10and then 3796 is equal to_____.4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : sum of the two original numbersis____.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 ata constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm volume of the box in cm3is____.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three[Remember the weights may be placed on either side]参考答案:1、A 考察我们学过的简单的进制问题,显然8进制中没有8出现2、170 找规律,公式为n×(n-3)÷23、1 定义新运算,就是求379÷6的余数。
4、40,16和24 5、7 6、5 7、28米,根据距离比求出速度比,三者的速度比为1:9/10:18/25 8、420 分解质因数9、13种1. Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle travel Choices for the smaller number: 147 151 159number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29 30 33clown weights 60 lb more than a trapeze artist. The trapeze artist weighs two thids as much as the clown. How much does each weigh choices for the weight of the trapeze artist : 110 120 1255. The . Senate has 100 memebers, all Democrats or Republicans. Recently there were 12 more Democrats than Republicans. How many Senators from each political party were there at that time Choices for the number of Republicans: 38 42 44ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there how many girls are there Choices for the number of boys: 191 202 2077. Elena has one and a half times as much money as they have 225. how much money does each haveChoices for Ramom's amount;80 90 958. Western state college is 18 years older than southern state. western is also 2 and the half times as old as southern. how old is each Choice for southern state's age:12 14 18answers: 1.设较小数为x. x+x+57=185 x=64.2.设轿车行驶了x千米. 318+x=3x x=159千米轿车行驶了159千米,公车行驶了318+159=477千米.3.设较小数为x. 4x=x+87 x=29.+x=3x/2 x=120the number of Republicans be x. x+x+12=100 x=446.设有x名男生 x+x+17=431 x=207名有男生207名,女生431-207=224名.7.设Ramom有x元. x+3x/2=225 x=90元8.设southern states college 有x年历史. x+18=5x/2 x=12年.。