数奥常用英文
小升初英文奥数题系列
小升初英文奥数题系列一第一期英文奥数推出之后，家长和同学们都反映非常好，说受益匪浅。
因此我们推出系列二。
但同时也有些问题，很多家长反映孩子觉得比较难。
首先希望家长多多辅导孩子，其实奥数知识同学们是都会的，但是有些英文单词不认识，希望家长帮助孩子共同提高。
另外，我们只是希望那些比较优秀的同学和学有余力的同学来做，没有必要所有同学都要会做。
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 with twenty sides (cosign) 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 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 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。
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°。
英奥词汇
英文奥数常用高频词汇第一讲关于年龄的问题sum 和the sum of A and B A和B的和the sum of the ages of A and B A和B两个的年龄之和the difference between A and B A和B的差异/差别/差距as old as sb. 像某人一样的年纪sb.’s present age 某人的现在年龄in … years’ time ……年后第二讲关于平均的问题formulae 公式total 总数unit 单位average 平均the average class score for…某个学科考试中全班同学的平均成绩average height 平均身高average mark 平均成绩mark / score 分数score … marks 得了……分数solution 解答reasoning 推理solve by reasoning 通过推理的办法来解答solve by drawing 通过画图的办法来解答consecutive number 连续的数字the average mass 平均总重量board the lift （坐）上了电梯table 表contunal assessment 连续测评thumbnail 大头钉original 原先的，原来的，初始的value 值第三讲数列问题sequence 顺序in a … sequence 以……的顺序第四讲速度：相遇问题speed 速度apart 分离，分开walking speed 走路的速度at a speed of…(m/min) 以……的速度（例如：英里/分钟）the distance between A and B A和B之间的距离distance 距离，路程the whole trip 整个行程time 时间entrance 入口，大门total distance covered 总共走过的距离/路程to and fro 来回第五讲速度问题equation 方程式ratio 比率logical reasoning 逻辑推理solve dynamic speed problems 解决动态的速度问题distance travelled =distance covered 走过的距离/路程at a constant speed of … (km/h) 以一个……样的恒速depart from…从……出发destination 目的地clue 提示第六讲从书的页码引发的问题digit 数字the ones place 个位the tens place 十位digit “0” in the ones place 数字“0”出现在个位digit “0” in the tens place 数字“0”出现在十位第七讲面积问题area 面积square 正方形triangle 三角形trapezium 梯形isosceles triangle 等腰三角形square grid 正方形网格线respectively 分别（地）parallelogram 平行四边行side 边长perimeter 周长figure 数字quadrilateral 四边形perimeter 周长base 底边parallel sides 平行的边figure 图形hectare 公顷find 求出，look for求出find the area of the shaded region 求出阴影部分的面积partially 部分（地）overlap 重叠a square of side 5 cm 边长为5厘米的正方形the midpoint of Line BC 线段BC的中心点All unit are in hectares. 所有的单位为公顷 4 triangle plots 四块三角形的地a plot of land 一块地第八讲求组合图形的周长和面积perimeter 周长area 面积circle 圆semi-circle 半圆radii 半径diameter 直径sector 扇形pattern 图案，图形work out 求出layer 层 a 10 * 10m square 一个10米乘以10米的正方形a 15-metre-long rope 一根15米长的绳子60 degrees anticlockwise 逆时针60度rotate 旋转anticlockwise 逆时针clockwise 顺时针rotate sth. around point A … degrees anticlockwise / clockwise 将某物体绕着A点逆/顺时针旋转60度given that…(, …) 假设……（，……）unroll 展开annulus 圆环Find the sum of the perimeters of the 3 circles. 求出三个圆的周长和。
小升初英语奥数题
小升初英文奥数题11、Did you know In the decimal number system base 10 ten different digits, 0 to 9, are used to write all the numbers. In the binary number system base 2 two different digits are used, i.e. 0 and 1. Which one of the following numbers is not a valid number in the octal number system base 8你知道吗在十进制数字系统中十个不同的数字,用从0到9就可以写出所有的数字了；在二进制数字系统中使用了二个不同的数字0和1.请问在八进制数字系统中,下列的哪一个数字是不存在的A 128B 127C 126D 125E 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides icosagon is_____.一个规则的20多边形总共可以画出多少条对角线3、If a and b are integers, 103=1, 1507=3, and then 3796 is equal to_____.如果a和b都是整数,那么3796是等于多少4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.假设二个数字的比值是2:3,当每个数字加上4以后,比值就变成了5:7.那么这二个数字之和是多少5、The greatest number of Mondays which can occur in 45 consecutive days is____在日历中,续45天中最多可以出现多少个星期一6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.索尔在玩一个电子游戏,击中一次得4分,打偏则扣6分.20个回合后他的得分是30分,那么他打偏了多少次7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m behindA and whenB finishesC is 20 m behind B. How far in metres was C from A when A finishedLet’s assume all the athletes run at a constant speed有A,B,C三个女孩进行100米赛跑.当A到达终点时,B落后A 10米,当B到达终点时,C落后B 20米.那么当A到达终点时,C落后A多少米假设所有的人都是匀速的8、The areas of the faces of a rectangular box are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.一个长方形盒子的表面积依次为84cm2,70 cm2 ,30 cm2,那么这个盒子的体积是多少9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these threeRemember the weights may be placed on either side你有三个重物：1kg,3kg,9kg,还有一个等臂天平.那么你可以用这三个重物称多少个不同物体记得这些重物可以放在天平的任意一边小升初英文奥数题21. An ant covers adistance of 90 metrers in 3 hours .The average speed of the ant in decimetres per minute is____.一只小蚂蚁用了3个小时爬行了90米,那么它的平均速度是每分钟多少分米2.The Ancient Romans used the follwing different numerals in their number system as follows:Ⅰ=1 C=100 V=500 Ⅹ=10 M=1000 ,etc L=50 . They used these numerals to make up numbers as follows:Ⅰ=1,Ⅱ=2,Ⅲ=3,Ⅳ=4,Ⅴ=5,Ⅵ=6,Ⅶ=7,Ⅷ=8,Ⅸ=9,Ⅹ=10.So ,for example,XCIX is 99.What is the value of XLVI古罗马人用下面的符号来计数：…….,比如XCIX是99,XLVI等于多少3.In a certain town some people were affected bya'flu' epidemic .In the first month20% of the population contracted the ful whilst 80% were healthy.In the following month 20% of the sick people recovred and the 20% of the healthy people contractedthe disease . What fraction of the population is healthy at the end of the healthy month在某个小镇里一些人感染了流行性感冒.在第一个月里有20%的分感染了,但80%的人是健康的.在接下来一个月里,有20%的病人恢复了健康,但是20%的健康的人也感染了.那么现在总共健康的人数的百分比是多少4.Mpho,Barry ,Sipho,Erica and Fatima are sitting on a park bench .Mpho is not sittingon the far right. Barry is not sitting on the far left. Sipho is not sitting at either end .Erica si sitting to the right of Barry ,but not necessarily next tohim .Fatima is not sitting next to Sipho.Sipho is not sitting next to Barry .Who is sitting at the far rightMpho,Barry ,Sipho,Erica 和 Fatima坐在公园的长椅上.Mpho坐在不远的右边,Barry坐在不远的左边,Sipho不坐在长椅的任何一头,Eric坐在Barry的右边,但是并不需要挨着他,Fatima也不挨着Sipho,Sipho也不挨着Barry,那么谁坐在最右边5.Of the 28 T shirts in a drawer ,six are red ,five are blue ,and the rest arewhite.IfBob selects T-shirhs at random whilst packing for a holiday ,what is the least numberhe must remove from the drawer to be sure that he has three T-shirts of the same colour 抽屉里有28件T-恤衫,6个红色的,5个蓝色的,剩下的都是白色的,如果他随意取出T-恤衫去度假,要确保他有3件是同一颜色的,请问他从抽屉中拿出的T-恤衫的最少数量是多少件6.In an alien language ,jalez borg farn means "good maths skills".Nurf klar borg means"maths in harmony" and darko klar farn means"good in gold" .What is "harmony gold "in this language在外星人语言中,jalez borg farn 意思是 "good maths skills".………7.Five children ,Amelia ,Bongani ,Charles,Devine and Edwina ,were in the classroom when one of them broke a window. The teacher asked each of them to make a statement about the event,knowing that three of them always lie and two always tell the truth.Their statements were as follows :Amelia :"Charles did not break it ,nor did Devine." Bongani:"I didn't break it ,nor did Devine ." Charles:"I didn 't break it ,but Edwina did ." Devine;"Amelia or Edwina broke it ."Edwina:"Charles broke it."Who broke the window五个熊孩子,Amelia ,Bongani ,Charles,Devine and Edwina,在教室里玩疯了,突然有一个打破了窗户.老师先让每个人坦白一下事件,其实老师心里知道有三个孩子总是撒谎,二个爱讲实话.下面是他们的辩词：Amelia：不是Charles干的,也不是Devine干的.Bongani：我没有打破窗户,Devine也没有.Charles：我没有,是Edwina 干得.Devine：是Amelia或者Edwina 干得.Edwina：是Charles干得.那么到底是谁打破了窗户8. Did you know A palindrome你知道吗回文数字是一种顺读和倒读都一样的数.比如35453. 2002年就是一个这样的例子.那么2002和它前一个回文数字年的差别是多少小升初英文奥数题31、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010在2004年,六月16号是星期三,那么在2010年六月16是星期几呢如果一个数的一半是30,那么这个数的四分之三是多少3、The sum of the digits of the following product 999×555 is999×555的积的数位上的数字之和是多少4、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.三个正整数之和是28,那么这三个正整数之积最大可能是多少5、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____.有如下几个例子,□和Δ都代表不同的数字,□除以503的余数是20. Δ除以503的余数也是20,那么493除以□×Δ之积的余数是多少6、A lady, her brother, her son and her daughter all related by birth played volleyball. The worst player's twin who is one of the four players and the best player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst players一位女士,她的弟弟,她的儿子,她的女儿,都打排球.妈妈和她的弟弟是双胞胎,她自己的女儿和儿子也是双胞胎.最差的球员的双胞胎之一和最好的球员性别是相反的,最差的球员和最好的年龄是一样的.那么谁不可能是最差的A brother onlyB daughter onlyC son and daughter onlyD lady and daughter only7、If you continue the given number pattern, in what row and in what position in that row will the number 320 be如果你继续把下面这组数字模式写下去,那么在多少排、在这一排的什么位置将会是数字3201 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.10.Two ants start at point A and walk at the same pace .One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6cm by 3 cm rectangle .What is the minimun distance ,in centimetres,any one must cover before they meet again二只可怜的小蚂蚁都以同样的速度从A点出发.其中一只爬行了3cm×3cm的正方形,另一只爬行了6cm×3cm的长方形.那么如果二只蚂蚁再次相遇,每只必须爬行的最小距离的多少参考答案11、A 考察我们学过的简单的进制问题,显然8进制中没有8出现2、170 找规律,公式为n×n-3÷23、1 定义新运算,就是求379÷6的余数.4、40,16和245、76、57、28米,根据距离比求出速度比,三者的速度比为1：9/10：18/258、420 分解质因数9、13种21、单位换算,注意单词,90×10÷3×602、463、68%4、Erica5、7,抽屉原则6、nurf darko.注意一一对应,borg=maths,farn=good,jalez=skills,klar=in,nurf=harmony,darko=gold.7、Charles8、100131、Wednesday2、453、27求数位上上的数字之和4、28=9+9+10,因此答案为8105、503-20=483 483=3×7×23＝21×23,因此□ x Δ＝483,因此此题余数是10.6、D 7、25,2010、108△ABO的面积为16,等腰△DOC的面积占长方形面积的18％,那么阴影△AOC的面积是多少2、已知△ABC中,AB=AC=16, △ABC面积是64,P是BC上任意一点,P到AB,AC的距离分别是X、Y,那么X+Y=______3、从1到999这999个自然数中有______个数的各位数字之和能被4整除.4、如图乘法竖式中,"学而思杯"代表0 ~ 9中的一个数字,相同的汉字代表相同的数字,不同的汉字代表不同的数字,那么"学而思杯"分别代表的数字是_______5、学学和思思结伴骑车去图书馆看书,第一天他们从学校直接去图书馆；第二天他们先去公园再去图书馆；第三天公园修路不能通行．则这三天从学校到图书馆的最短路线分别有_______种不同的走法.1、10个不同非0自然数的和为1001,则这10个数的最大公约数的最大值_____2、"学而思杯思而学"是一个七位回文数字,其中相同的汉字代表相同的数字,不同的汉字代表不同的数字．已知这个七位数第1位能被2整除,前2位组成的2位数能为3整除,前3位组成的3位数数能被4整除,…… ,前7位数组成的七位数能被8整除．那么"学而思杯思而学"=_______ ．3、如图,△ABC是等腰直角三角形,DEFG是正方形,线段AB与CD相交于K点．已知正方形DEFG的面积48,AK: KB=1: 3,则△BKD的面积是_________4、甲、乙两队各出5名队员按事先排好的顺序出场参加象棋擂台赛,双方先由1号队员比赛,负者被淘汰,胜者再与负方2号队员比赛,……直至有一方队员全被淘汰为止,另一方获得胜利．各个队员的胜负排列便形成一种比赛过程．已知每次比赛都没有和局,问所有可能的比赛过程有多少种参考答案：一、填空题每题5分,共25分1、17702、153、24192004、35、14,63,147二、填空题每题7分,共35分1、3.52、83、2484、32015、16,8,81、132、42858243、124、25。
英语奥数词汇整理 第一讲至第十五讲
第一讲 速算与巧算（小数、分数） empty 空格at most 最多the same 一样的decimal number 小数fraction 分数appropriate 合适的，恰当的第二讲 定义新运算even 偶数的pay(paid) 付钱greedy 贪婪的in all 总共，合计result 结果，答案decimal part 小数部分integer number 整数equal 等于unit digit 个位tens digit 十位rational number 有理数 addition 加法subtraction 减法multiplication 乘法calculation 计算natural number 自然数 difference 差common multiple 公倍数 smallest common multiplecommon divisor 公因子 biggest common divisordefine 定义decimal 小数部分 integer 整数部分第三讲 奇偶问题a brand tag 商标牌 mix 混合sum 和add 加odd number 奇数even number 偶数renumber 重新编号 consecutive 连续的natural number 自然数sequence 顺序rules 规则total score 总分single unitproduct 乘积double-digit number 两位数difference 差characters 特征remainder 余数quotient 商divisor 除数第四讲 同余定理order 顺序repeat 重复direction 方向，趋势 A is divided by B A被B除 exactly 恰好的remainder 余数natural number 自然数第五讲 排列组合square 正方形the same 一样的tell the truth 说出真相correct 正确的；改正 3-digit number 三位数字digital number 数位repetitive 重复的stand in line 站成一排side by side 并排prime number 质数natural number 自然数integer number 整数neighboring number 相邻的数 even number 偶数odd number 奇数stand for 代表circle 圆圈next to 下一个，紧挨着第六讲 极值问题either...or... 要么..要么..total 总和score 分数，总和add up to 总和达，加起来到 product 乘积full mark 满分average 平均at most 最多at least 最少lowest 最低highest 最高integer 整数average age 平均年龄fully used 充分利用 heaviest 最重的第七讲 巧求平面图形面积fake 假的graph 图形triangle 三角形area ratio 面积比例 shaded area 阴影面积 trapezoid 梯形quadrangle 四边形parallelogram 平行四边形 intersect 交叉extended 延长square 正方形rectangle 长方形cost 成本price 标价changes 找零第九讲 比和比例的应用Rate...to... A比B的比率 fraction 分数numerator 分子denominator 分母reduction 化简original 最初的upslope 上坡flat slop 平路downslope 下坡length 长度rectangle 长方形perimeter 周长ratio 比例cuboid 立方体width 宽height 高take...from... 从...拿出...in order to... 目的是goods 物品score 分数fold 折叠 第十讲 分数、百分数应用题lighter 更轻的fake 假的weights 重量scale 秤goods 物品in all 全部volume 体积original 原来的average 平均的take part in 参加第十一讲 和倍问题3 times 三倍于twice 两倍4 times more than 比..多四倍 total 总共the same...as 和...一样 standard time 标准时间 age 年龄add...to... 把...加到...上 take...from... 从...拿出... multiply...by... 几倍于...divide...by... 分成几份... ton 吨第十二讲 差倍问题multiply 相乘half of 一半pail 桶evenly 平均地stationary 文具amount 数量result 结果take...from... 从...拿走... add...to... 把...加上... in all 所有的iron wire 钢丝length 长度 第十三讲 和差问题totaling 总和age 年龄average 平均weight 重量pail 桶how heavy 多重except 除了in all 全部level 等级in 4 years 四年后 difference 不同的 price 价格第十四讲 行程问题backwards 逆流 at the same time 同时 direction 方向 back and forth 来回 dock 码头downstream 顺流a round trip 往返旅行 circle 环绕runway 跑道in 1 minutes 一分钟以后 reach 到达catch up with 赶上per minute 每分钟perimeter 周长all the still water 静水current velocity 目前水速第十五讲 盈亏问题count 数量at least 至少cost price 成本pile 堆。
小学奥数练习卷(英文版)
练习19Multiple choice( )1. He is still hungry, he wants to have______ milk.A. one moreB. another oneC. some moreD. many more( )2. I went to the park_______ yesterday.A. on a bicycleB. by the bicycleC. in a bicycleD. by bicycles( )3.The bicycle________ me 300 yuan.A. spentB. tookC. leftD. cost( )4.The computer doesn’t work. I’m afraid you______ use it today.A. mayB. can’tC. needn’tD. mustn’t(）5. I don't think Liu Xiang will be encouraged to_____more time away from sport.A. takeB. payC. costD. spend( )6.I like my history teacher because he often ______ us about many interesting events in h istory and he’s really humorous A．says B．tells C．speaks D．talks( )7.Tommy has breakfast _______ 6:30 every morning.A. at aroundB. around atC. in aroundD. around in( )8.Can you think ___________?A. his job is whatB. what is his jobC. what his job isD. is what his job( )9.He sings ________ and he is a __________ singer。
数学竞赛英语词汇
数学英语词汇Aabbreviation 简写符号；简写absolute error 绝对误差absolute value 绝对值accuracy 准确度acute angle 锐角acute-angled triangle 锐角三角形add 加addition 加法addition formula 加法公式addition law 加法定律addition law(of probability) （概率）加法定律additive property 可加性adjacent angle 邻角adjacent side 邻边algebra 代数algebraic 代数的algebraic equation 代数方程algebraic expression 代数式algebraic fraction 代数分式；代数分数式algebraic inequality 代数不等式algebraic operation 代数运算alternate angle （交）错角alternate segment 交错弓形altitude 高；高度；顶垂线；高线ambiguous case 两义情况；二义情况amount 本利和；总数analysis 分析；解析analytic geometry 解析几何angle 角angle at the centre 圆心角angle at the circumference 圆周角angle between a line and a plane 直 与平面的交角angle between two planes 两平面的交角angle bisection 角平分angle bisector 角平分线 ；分角线angle in the alternate segment 交错弓形的圆周角angle in the same segment 同弓形内的圆周角angle of depression 俯角angle of elevation 仰角angle of greatest slope 最大斜率的角angle of inclination 倾斜角angle of intersection 相交角；交角angle of rotation 旋转角angle of the sector 扇形角angle sum of a triangle 三角形内角和angles at a point 同顶角annum(X% per annum) 年（年利率X%）anti-clockwise direction 逆时针方向；返时针方向anti-logarithm 逆对数；反对数anti-symmetric 反对称apex 顶点approach 接近；趋近approximate value 近似值approximation 近似；略计；逼近Arabic system 阿刺伯数字系统arbitrary 任意arbitrary constant 任意常数arc 弧arc length 弧长arc-cosine function 反余弦函数arc-sin function 反正弦函数arc-tangent function 反正切函数area 面积arithmetic 算术arithmetic mean 算术平均；等差中顶；算术中顶arithmetic progression 算术级数；等差级数arithmetic sequence 等差序列arithmetic series 等差级数arm 边arrow 前号ascending order 递升序ascending powers of X X 的升幂associative law 结合律assumed mean 假定平均数assumption 假定；假设average 平均；平均数；平均值average speed 平均速率axiom 公理axis 轴axis of parabola 拋物线的轴axis of symmetry 对称轴Bback substitution 回代bar chart 棒形图；条线图；条形图；线条图base （1）底；（2）基；基数base angle 底角base area 底面base line 底线base number 底数；基数base of logarithm 对数的底bearing 方位（角）；角方向（角）bell-shaped curve 钟形图bias 偏差；偏倚billion 十亿binary number 二进数binary operation 二元运算binary scale 二进法binary system 二进制binomial 二项式binomial expression 二项式bisect 平分；等分bisection method 分半法；分半方法bisector 等分线 ；平分线boundary condition 边界条件boundary line 界（线）；边界bounded 有界的bounded above 有上界的；上有界的bounded below 有下界的；下有界的bounded function 有界函数brace 大括号bracket 括号breadth 阔度broken line graph 折线图Ccalculation 计算calculator 计算器；计算器cancel 消法；相消canellation law 消去律capacity 容量Cartesian coordinates 笛卡儿坐标Cartesian plane 笛卡儿平面category 类型；范畴central line 中线central tendency 集中趋centre 中心；心centre of a circle 圆心centroid 形心；距心certain event 必然事件chance 机会change of base 基的变换change of subject 主项变换change of variable 换元；变量的换chart 图；图表checking 验算chord 弦chord of contact 切点弦circle 圆circular 圆形；圆的circular function 圆函数；三角函数circular measure 弧度法circumcentre 外心；外接圆心circumcircle 外接圆circumference 圆周circumradius 外接圆半径circumscribed circle 外接圆class 区；组；类class boundary 组界class interval 组区间；组距class limit 组限；区限class mark 组中点；区中点classification 分类clnometer 测斜仪clockwise dirction 顺时针方向closed convex region 闭凸区域closed interval 闭区间coefficient 系数coincide 迭合；重合collection of terms 并项collinear 共线collinear planes 共线面column (1)列；纵行；(2) 柱combination 组合common chord 公弦common denominator 同分母；公分母common difference 公差common divisor 公约数；公约common factor 公因子；公因子common logarithm 常用对数common multiple 公位数；公倍common ratio 公比common tangetn 公切commutative law 交换律comparable 可比较的compass 罗盘compass bearing 罗盘方位角compasses 圆规compasses construction 圆规作图complement 余；补余complementary angle 余角complementary event 互补事件complementary probability 互补概率completing the square 配方complex number 复数complex root 复数根composite number 复合数；合成数compound bar chart 综合棒形图compound discount 复折扣compound interest 复利；复利息computation 计算computer 计算机；电子计算器concave 凹concave downward 凹向下的concave polygon 凹多边形concave upward 凹向上的concentric circles 同心圆concept 概念conclusion 结论concurrent 共点concyclic 共圆concyclic points 共圆点condition 条件conditional 条件句；条件式cone 锥；圆锥（体）congruence (1)全等；(2)同余congruent 全等congruent figures 全等图形congruent triangles 全等三角形cconjugate 共轭consecutive integers 连续整数consecutive numbers 连续数；相邻数consequence 结论；推论consequent 条件；后项consistency condition 相容条件consistent 一贯的；相容的constant 常数constant speed 恒速率constant term 常项constraint 约束；约束条件construct 作construction 作图construction of equation 方程的设立continued proportion 连比例continued ratio 连比continuous 连续的continuous data 连续数据continuous function 连续函数continuous proportion 连续比例contradiction 矛盾converse 逆(定理)converse theorem 逆定理conversion 转换convex 凸convex polygon 凸多边形coordinate 坐标coordinate geometry 解析几何；坐标几何coordinate system 坐标系系定理；系；推论correct to 准确至；取值至correspondence 对应corresponding angles (1)同位角；(2)对应角corresponding sides 对应边cosine 余弦cosine formula 余弦公式cost price 成本counter clockwise direction 逆时针方向；返时针方向counter example 反例counting 数数；计数criterion 准则critical point 临界点cross-multiplication 交叉相乘cross-section 横切面；横截面；截痕cube 正方体；立方；立方体cube root 立方根cubic 三次方；立方；三次(的)cubic equation 三次方程cuboid 长方体；矩体cumulative 累积的cumulative frequecy 累积频数；累积频率cumulative frequency curve 累积频数曲cumulative frequcncy distribution 累积频数分布cumulative frequency polygon 累积频数多边形；累积频率直方图curve 曲线curve sketching 曲线描绘(法)curve tracing 曲线描迹(法)curved line 曲线curved surface 曲面curved surface area 曲面面积cyclic quadrilateral 圆内接四边形cylinder 柱；圆柱体cylindrical 圆柱形的Ddata 数据decagon 十边形decay 衰变decay factor 衰变因子decimal 小数decimal place 小数位decimal point 小数点decimal system 十进制decrease 递减decreasing function 递减函数；下降函数decreasing sequence 递减序列；下降序列decreasing series 递减级数；下降级数decrement 减量deduce 演绎deduction 推论deductive reasoning 演绎推理definite 确定的；定的distance 距离distance formula 距离公式distinct roots 相异根distincr solution 相异解distribution 公布distrivutive law 分配律divide 除dividend (1)被除数；(2)股息divisible 可整除division 除法division algorithm 除法算式divisor 除数；除式；因子divisor of zero 零因子dodecagon 十二边形dot 点double root 二重根due east/ south/ west /north 向东/ 南/ 西/ 北definiton 定义degree (1)度；(2)次degree of a polynomial 多项式的次数degree of accuracy 准确度degree of precision 精确度delete 删除；删去denary number 十进数denary scale 十进法denary system 十进制denominator 分母dependence (1)相关；(2)应变dependent event(s) 相关事件；相依事件；从属事件dependent variable 应变量；应变数depreciation 折旧descending order 递降序descending powers of X X的降序detached coefficients 分离系数(法)deviation 偏差；变差deviation from the mean 离均差diagonal 对角diagram 图；图表diameter 直径difference 差digit 数字dimension 量；量网；维(数)direct proportion 正比例direct tax, direct taxation 直接税direct variation 正变（分）directed angle 有向角directed number 有向数direction 方向；方位discontinuous 间断(的)；非连续(的)；不连续(的)discount 折扣discount per cent 折扣百分率discrete 分立；离散discrete data 离散数据；间断数据discriminant 判别式dispersion 离差displacement 位移disprove 反证Eedge 棱；边elimination 消法elimination method 消去法；消元法elongation 伸张；展empirical data 实验数据empirical formula 实验公式empirical probability 实验概率；经验概率enclosure 界限end point 端点entire surd 整方根equal 相等equal ratios theorem 等比定理equal roots 等根equality 等(式)equality sign 等号equation 方程equation in one unknown 一元方程equation in two unknowns(variables) 二元方程equation of a straight line 直线方程equation of locus 轨迹方程equiangular 等角(的)extreme value 极值equidistant 等距(的)equilaeral 等边(的)equilateral polygon 等边多边形equilateral triangle 等边三角形equivalent 等价(的)error 误差escribed circle 旁切圆estimate 估计；估计量Euler's formula 尤拉公式；欧拉公式evaluate 计值even function 偶函数even number 偶数evenly distributed 均匀分布的event 事件exact 真确exact solution 准确解；精确解；真确解exact value 法确解；精确解；真确解example 例excentre 外心exception 例外excess 起exclusive 不包含exclusive events 互斥事件exercise 练习expand 展开expand form 展开式expansion 展式expectation 期望expectation value, expected value 期望值；预期值experiment 实验；试验experimental 试验的experimental probability 实验概率exponent 指数express…in terms of….. 以………表达expression 式；数式extension 外延；延长；扩张；扩充exterior angle 外角external angle bisector 外分角external point of division 外分点extreme point 极值点Fface 面factor 因子；因式；商factor method 因式分解法factor theorem 因子定理；因式定理factorial 阶乘factorization 因子分解；因式分解factorization of polynomial 多项式因式分解FALSE 假(的)feasible solution 可行解；容许解Fermat’s last theorem 费尔马最后定理Fibonacci number 斐波那契数；黄金分割数Fibonacci sequence 斐波那契序列fictitious mean 假定平均数figure (1)图(形)；(2)数字finite 有限finite population 有限总体finite sequence 有限序列finite series 有限级数first quartile 第一四分位数first term 首项fixed deposit 定期存款fixed point 定点flow chart 流程图foot of perpendicular 垂足for all X 对所有Xfor each /every X 对每一Xform 形式；型formal proof 形式化的证明format 格式；规格formula(formulae) 公式four rules 四则four-figure table 四位数表fourth root 四次方根fraction 分数；分式fraction in lowest term 最简分数fractional equation 分式方程fractional index 分数指数fractional inequality 分式不等式free fall 自由下坠frequency 频数；频率frequency distribution 频数分布；频率分布frequency distribution table 频数分布表frequency polygon 频数多边形；频率多边形frustum 平截头体function 函数function of function 复合函数；迭函数functional notation 函数记号Ggain 增益；赚；盈利gain per cent 赚率；增益率；盈利百分率game （1）对策；（2）博奕general form 一般式；通式general solution 通解；一般解general term 通项geoborad 几何板geometric mean 几何平均数；等比中项geometric progression 几何级数；等比级数geometric sequence 等比序列geometric series 等比级数geometry 几何；几何学given 给定；已知golden section 黄金分割grade 等级gradient (1)斜率；倾斜率；(2)梯度grand total 总计graph 图像；图形；图表graph paper 图表纸graphical method 图解法graphical representation 图示；以图样表达graphical solution 图解greatest term 最大项greatest value 最大值grid lines 网网格线group 组；grouped data 分组数据；分类数据grouping terms 并项；集项growth 增长growth factor 增长因子Hhalf closed interval 半闭区间half open interval 半开区间head 正面（钱币）height 高（度）hemisphere 半球体；半球heptagon 七边形Heron's formula 希罗公式hexagon 六边形higher order derivative 高阶导数highest common factor(H.C.F) 最大公因子；最高公因式；最高公因子Hindu-Arabic numeral 阿刺伯数字histogram 组织图；直方图；矩形图horizontal 水平的；水平horizontal line 横线 ；水平线hyperbola 双曲线hypotenuse 斜边Iidentical 全等；恒等identity 等（式）identity relation 恒等关系式if and only if/iff 当且仅当；若且仅若if…., then 若….则；如果…..则illustration 例证；说明image 像点；像imaginary circle 虚圆imaginary number 虚数imaginary root 虚根implication 蕴涵式；蕴含式imply 蕴涵；蕴含impossible event 不可能事件improper fraction 假分数inclination 倾角；斜角inclined plane 斜面included angle 夹角included side 夹边inclusive 包含的；可兼的inconsistent 不相的(的)；不一致(的)increase 递增；增加increasing function 递增函数interior angles on the same side of the transversal 同旁内角interior opposite angle 内对角internal bisector 内分角internal division 内分割internal point of division 内分点inter-quartile range 四分位数间距intersect 相交intersection (1)交集；(2)相交；(3)交点interval 区间intuition 直观invariance 不变性invariant (1)不变的；(2)不变量；不变式inverse 反的；逆的inverse circular function 反三角函数inverse cosine function 反余弦函数inverse function 反函数；逆函数inverse problem 逆算问题inverse proportion 反比例；逆比例inverse sine function 反正弦函数inverse tangent function 反正切函数inverse variation 反变(分)；逆变(分) irrational equation 无理方程irrational number 无理数irreducibility 不可约性irregular 不规则isosceles triangle 等腰三角形increasing sequence 递增序列increasing series 递增级数increment 增量independence 独立；自变independent event 独立事件independent variable 自变量；独立变量indeterminate (1)不定的；(2)不定元；未定元indeterminate coefficient 不定系数；未定系数indeterminate form 待定型；不定型index,indices 指数；指index notation 指数记数法inequality 不等式；不等inequality sign 不等号infinite 无限；无穷infinite population 无限总体infinite sequence 无限序列；无穷序列infinite series 无限级数；无穷级数infinitely many 无穷多infinitesimal 无限小；无穷小infinity 无限(大)；无穷(大)initial point 始点；起点initial side 始边initial value 初值；始值input 输入input box 输入inscribed circle 内切圆insertion 插入insertion of brackets 加括号instantaneous 瞬时的integer 整数integral index 整数指数integral solution 整数解integral value 整数值intercept 截距；截段intercept form 截距式intercept theorem 截线定理interchange 互换interest 利息interest rate 利率interest tax 利息税interior angle 内角Jjoint variation 联变(分)；连变(分)Kknown 己知LL.H.S. 末项law 律；定律law of indices 指数律；指数定律law of trichotomy 三分律leading coefficient 首项系数least common multiple, lowest common multiple (L.C.M) 最小公倍数；最低公倍式least value 最小值lemma 引理length 长(度)letter 文字；字母like surd 同类根式like terms 同类项limit 极限line 线；行line of best-fit 最佳拟合line of greatest slope 最大斜率的直 ；最大斜率line of intersection 交线line segment 线段linear 线性；一次linear equation 线性方程；一次方程linear equation in two unknowns 二元一次方程；二元线性方程linear inequality 一次不等式；线性不等式linear programming 线性规划literal coefficient 文字系数literal equation 文字方程load 负荷loaded coin 不公正钱币loaded die 不公正骰子locus, loci 轨迹logarithm 对数logarithmic equation 对数方程logarithmic function 对数函数logic 逻辑logical deduction 逻辑推论；逻辑推理logical step 逻辑步骤long division method 长除法loss 赔本；亏蚀loss per cent 赔率；亏蚀百分率lower bound 下界lower limit 下限lower quartile 下四分位数lowest common multiple(L.C.M) 最小公倍数Mmagnitude 量；数量；长度；大小major arc 优弧；大弧major axis 长轴major sector 优扇形；大扇形major segment 优弓形；大弓形mantissa 尾数mantissa of logarithm 对数的尾数；对数的定值部many-sided figure 多边形marked price 标价mathematical induction 数学归纳法mathematical sentence 数句mathematics 数学maximize 极大maximum absolute error 最大绝对误差maximum point 极大点maximum value 极大值mean 平均(值)；平均数；中数mean deviation 中均差；平均偏差measure of dispersion 离差的量度measurement 量度median (1)中位数；(2)中线meet 相交；相遇mensuration 计量；求积法method 方法method of completing square 配方法method of substitution 代换法；换元法metric unit 十进制单位mid-point 中点mid-point formula 中点公式mid-point theorem 中点定理million 百万minimize 极小minimum point 极小点minimum value 极小值minor (1)子行列式；(2)劣；较小的minor arc 劣弧；小弧minor axis 短轴minor sector 劣扇形；小扇形minor segment 劣弓形；小弓形minus 减minute 分mixed number(fraction) 带分数modal class 众数组mode 众数model 模型monomial 单项式multinomial 多项式multiple 倍数multiple root 多重根multiplicand 被乘数multiplication 乘法multiplication law (of probability) (概率)乘法定律multiplicative property 可乘性multiplier 乘数；乘式multiply 乘mutually exclusive events 互斥事件mutually independent 独立; 互相独立mutually perpendicular lines 互相垂直Nn factorial n阶乘n th root n次根；n次方根natural number 自然数negative 负negative angle 负角negative index 负指数negative integer 负整数negative number 负数neighborhood 邻域net 净(值)n-gon n边形nonagon 九边形non-collinear 不共线non-linear 非线性non-linear equation 非线性方程non-negative 非负的non-trivial 非平凡的non-zero 非零normal (1)垂直的；正交的；法线的(2)正态的(3)正常的；正规的normal curve 正态分记 伲怀１分记 伲徽 媲 伲徽 忧 ?normal distribution 正态分布，常态分布normal form 法线式notation 记法；记号number 数number line 数线number pair 数偶number pattern 数型number plane 数平面number system 数系numeral 数字；数码numeral system 记数系统numerator 分子numerical 数值的；数字的numerical expression 数字式numerical method 计算方法；数值法Ooblique 斜的oblique cone 斜圆锥oblique triangle 斜三角形obtuse angle 钝角obtuse-angled triangle 钝角三角形octagon 八边形octahedron 八面体odd function 奇函数odd number 奇数one-one correspondence 一一对应open interval 开区间open sentence 开句operation 运算opposite angle 对角opposite interior angle 内对角opposite side 对边optimal solution 最优解order (1)序；次序；(2)阶；级ordered pair 序偶origin 原点outcome 结果output 输出overlap 交迭；相交Pparabola 拋物线parallel 平行(的)parallel lines 平行(直线) parallelogram 平行四边形parameter 参数；参变量partial fraction 部分分数；分项分式polar coordinate system 极坐标系统polar coordinates 极坐标pole 极polygon 多边形polyhedron 多面体polynomial 多项式polynomial equation 多项式方程positive 正positive index 正指数positive integer 正整数positive number 正数power (1)幂；乘方；(2)功率；(3)检定力precise 精密precision 精确度prime 素prime factor 质因子；质因素prime number 素数；质数primitive (1)本原的；原始的；(2)原函数principal (1)主要的；(2)本金prism 梭柱(体)；角柱(体)prismoid 平截防庾短?probability 概率problem 应用题produce 延长product 乘积；积product rule 积法则profit 盈利profit per cent 盈利百分率profits tax 利得税progression 级数proof 证(题)；证明proper fraction 真分数property 性质property tax 物业税proportion 比例proportional 成比例protractor 量角器pyramid 棱锥(体)；角锥(体)Pythagoras’Theorem 勾股定理Pythagorean triplet 毕氏三元数组partial sum 部分和partial variation 部分变(分)particular solution 特解Pascal’s triangle 帕斯卡斯三角形pattern 模型；规律pegboard 有孔版pentadecagon 十五边形pentagon 五边形per cent 百分率percentage 百分法；百分数percentage decrease 百分减少percentage error 百分误差percentage increase 百分增加percentile 百分位数perfect number 完全数perfecr square 完全平方perimeter 周长；周界period 周期periodic function 周期函数permutation 排列perpendicular 垂线；垂直(于)perpendicular bisector 垂直平分线 ；中垂线 perpendicular line 垂直线pictogram 象形图pie chart 饼图；圆瓣图pinboard 钉板place holder 补位数字place value 位值plan (1)平面图；(2)计划plane figure 平面图形plot 绘图plus 加point 点point circle 点圆point of contact 切点point of division 分点point of intersection 交点point-slope form 点斜式polar axis 极轴polar coordinate plane 极坐标平面polar coordinate 极坐标系统Qquadrant 象限quadratic equation 二次方程(式) quadratic formula 二次公式quardratic function 二次函数quadratic inequality 二次不等式quadratic polynomial 四边形quantity 数量quartile 四分位数quotient 商；商式RR.H.S 右radian 弧度radian measure 弧度法radical 根式；根号；根数radius, radii 半径random 随机random experiment 随机试验random number 随机数range 值域；区域；范围；极差；分布域rate 率；利率ratio 比; 比率rational expression 有理式；有理数式rational function 有理函数rational index 有理数指数rational number 有理数rationalization 有理化raw data 原始数据raw score 原始分（数）real number 实数real root 实根reason 理由reciprocal 倒数rectangle 长方形；矩形rectangular block 长方体rectangular coordinate plane 直角坐标平面rectangular coordinates 直角坐rectilinear figure 直线图形recurrent 循环的recurring decimal 循环小数reduce 简化reducible 可约的；可化简的reference angle 参考角reflex angle 优角；反角region 区域regular 正；规则regular polygon 正多边形reject 舍去；否定relation 关系；关系式relative error 相对误差remainder 余数；余式；剩余remainder term 余项remainder theorem 余式定理removal of brackets 撤括号；去括号repeated trials 重复试验resolve 分解revolution 旋转；周转rhombus 菱形right angle 直角right circular cone 直立圆锥（体）right circular cylinder 直立圆柱（体）right prism 直立棱柱；直立角柱(体) right pyramid 直立棱锥；直立角锥(体) right-angled triangle 直角二角形root 根rotation 旋转round angle 周角rounded number 舍数rounding(off) 舍入；四舍五入row 行；棋行rule 规则；法(则)ruler 直尺Ssalaries tax 俸税sample 抽样；样本sample space 样本空间satisfy 满足；适合scale 比例尺；标度；图尺scalene triangle 不等边三角形；不规则三角形scientific notation 科学记数法solution of triangle 三角形解法solve 解special angle 特殊角；特别角speed 速率sphere 球形；球面square (1)平方；(2)正方形square bracket 方括号square number 正方形数；平方数square root 平方根；二次根standard deviation 标准差；标准偏离secant 割second 秒second quartile 第二四分位数(1)截面；截线；(2)截点section (1)截面；截线 ；(2)截点section formula 截点公式sector 扇式segment 段；节segment of a circle 弓形selling price 售价semi-circle 半圆semi-vertical angle 半顶角sentence 句；语句sequence 序列series 级数set square 三角尺；三角板shaded portion 有阴影部分shape 形状side 边；侧sign 符号；记号signed number 有符号数significant figure 有效数字similar 相似similar figures 相似图形similar triangles 相似三角形similarity 相似(性)simple equation 简易方程simple interest 单利；单利息simplify 简化simultaneous equations 联立方程simultaneous inequalities 联立不等式simultaneous linear equations in two unknowns 联合二次线性方程式sine 正弦sine formula 正弦公式slant edge 斜棱slant height 斜高slope 斜率；斜度；倾斜；坡度slope-intercept form 斜率截距式；斜截式solid 立体；固体soild with uniform corss-section 有均匀横切面的立体solution 解；解法solution of equation 方程解Uuniform 一致(的)；均匀(的)uniform cross-section 均匀横切面uniform speed 匀速率uniformly distributed 均匀分布unique solution 唯一解uniqueness 唯一性unit 单位unit area 单位面积unit circle 单位圆unit volume 单位体积unknown 未知数；未知量unlike 异类项upper bound 上界upper limit 上限upper quartile 上四分位数Vvalue 值variable 变项；变量；元；变元；变数variable speed 可变速率variance 方差variation 变数；变分verify 证明；验证vertex, vertices 顶(点)；极点vertical 铅垂；垂直vertical angle 顶角vertical line 纵线 ；铅垂vertically opposite angles 对顶角volume 体积Wweight (1)重量；(2)权weighted average, weighted mean 加权平均数whole number 整数；完整数width 阔度without loss of generality 不失一般性Xx-axis x轴x-coordinate x坐标x-intercept x轴截距Yy-axis y轴y-coordinate y坐标y-intercept y轴截距Zzero 零zero factor 零因子zeros of a function 函数零值。
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。
英文奥数题
1、What is the square of the rectangle, which its perimeter is 30cm and the length is 2 times as itswidth.（和倍问题）一个长方形，周长（perimeter）是30厘米，长（length）是宽（width）的2倍，求这个长方形的面积。
2、Jia has 80yuan less than Yi .The money of Yi is 5 times more than Jia .Do you know the numberof their money?（和倍问题）甲的钱比乙的钱少80元，乙的钱比甲的钱多5倍。
甲、乙两人各有多少元？3、A number has 6 digits, it can be divided exactly by 9.Its primacy digit is 5 and all the digits aredifferent, so what’s the minimum number?（整除问题）digit：数字primacy：最早的，首个minimum：最小的3、The area of the quadrangular field is 52 hectares, the two catercorners divided it into 4small triangles. The areas of the two small triangles is 6 hectares and 7 hectares, so how about the area of the bigger triangles?（风筝定理）4、The circumference of parallelogram ABCD is 75 centimeters. When we take BC as base, theheight is 14cm and when we take CD as base, the height is 16cm.Find out the area ofparallelogram ABCD.（求面积）词汇表：面积：area 中点：midpoint四边形的：quadrangular 田地：field公顷：hectare 对角线：catercorners分成：divide into 三角形：triangle梯形：trapezoid 平行四边形：parallelogram周长：circumference 厘米：centimeters底：base 高：height5、A ship that leaks has been into some water and water ran into the boat in uniform speed. If 10 people dip water, it needs three hours to finish and if five people to do, it needs 8 hours. If we ask for people for 2 hours to finish. How many people we need? （牛吃草问题）牧场：pasture漏：leak船：boat匀速：uniform speed淘水：dip water完成：finish要求：ask for6、Calculate the value of the following formula and the answer to retain integer.33．3332-3.1415926÷0.618估算：estimating比较：compare计算：calculate值：value保留整数：retain integer整数：integral7、The sum of five consecutive odd numbers is1985, what’s the smallest one?（高斯求和）8、A natural number minuses 45 is a perfect square number, and it pluses 54 is also a perfect square number. Find out this natural number.（平方差公式）9、Four groups of young pioneers picked up seeds. The mean of A ,B,C is 24kg.The mean ofB,C,D is 26kg. The number of group D is 28kg. Do you know how many had group.A pick up? （平均数）10、There are two baskets of apples A and B.A is 19 kilograms more than B. How many kilograms We need to take out from A basket to B basket to make the apples in B basket three kilograms more than A?（和倍问题）11、A car spent six hours from A to B .It quiked 8 km per hour when it returned .As a result,it took an hour less. What’s the distance between A and B ?（行程问题）12、The ratio of A and B is 8:5.A and B are both reducing by 34,then A is two times than of B. Find out the two numbers.（比例应用题）比：ratio比例：proportion减少：reduce by杯子：glass商场：market13、The waterway is 100 kilometers from A to B。
奥数教程英文版
奥数教程英文版Mathematics has long been a subject of fascination and challenge for students around the world. From the fundamental operations of arithmetic to the intricate theories of calculus, the field of mathematics encompasses a vast and ever-evolving landscape of knowledge. One particular branch of mathematics that has gained significant attention in recent years is Olympiad mathematics, a highly competitive and demanding discipline that pushes the boundaries of mathematical understanding.The Olympiad mathematics curriculum is designed to challenge the most talented and dedicated students, offering them the opportunity to engage with complex problems and develop their analytical and problem-solving skills to the highest degree. However, the specialized nature of this curriculum can often present a significant barrier to entry, particularly for students who do not have access to comprehensive educational resources or guidance.This is where the need for an English textbook on Olympiad mathematics becomes increasingly apparent. By providing acomprehensive and accessible resource for students to explore the intricacies of this subject, we can help to democratize the world of Olympiad mathematics and make it more inclusive and accessible to a wider audience.One of the key advantages of an English textbook for Olympiad mathematics is the ability to reach a global audience. In many parts of the world, English has become the lingua franca of education and academic discourse, making it an essential tool for students and educators alike. By offering an Olympiad mathematics textbook in English, we can ensure that students from diverse linguistic backgrounds can engage with the material and develop their skills in this highly specialized field.Moreover, an English textbook can also serve as a valuable resource for educators who are tasked with teaching Olympiad mathematics. By providing a comprehensive and well-structured curriculum, teachers can more effectively plan their lessons, deliver engaging content, and support their students in their pursuit of mathematical excellence.The content of an Olympiad mathematics textbook in English should be carefully curated to ensure that it covers the full breadth and depth of the subject matter. This may include topics such as number theory, combinatorics, geometry, and algebra, as well as moreadvanced concepts such as graph theory, probability, and combinatorial optimization.Each chapter should be designed to build upon the previous one, with a clear progression of difficulty and complexity. The textbook should also incorporate a variety of practice problems and exercises, ranging from basic to highly challenging, to allow students to test their understanding and develop their problem-solving skills.In addition to the core content, the textbook should also include supplementary materials such as historical context, real-world applications, and links to additional resources. This will help to situate the mathematical concepts within a broader context and inspire students to explore the subject matter beyond the confines of the textbook.One of the key challenges in creating an Olympiad mathematics textbook in English is ensuring that the content is both rigorous and accessible. The language used should be clear and concise, with a focus on explaining complex ideas in a way that is easy to understand. The textbook should also include a glossary of mathematical terms and symbols to help students navigate the specialized vocabulary.Another important consideration is the visual presentation of thetextbook. The inclusion of high-quality illustrations, diagrams, and mathematical visualizations can greatly enhance the learning experience and help students to better grasp the underlying concepts.Overall, the development of an English textbook for Olympiad mathematics has the potential to significantly impact the field of mathematics education. By providing a comprehensive and accessible resource for students and educators alike, we can help to cultivate a new generation of mathematical thinkers and problem-solvers, who are equipped with the skills and knowledge necessary to excel in this highly competitive and rewarding discipline.。
奥数英语题单词归纳
1. 数论natural number 自然数 positive number 正数 negative number 负数 odd integer, oddnumber 奇数 even integer, even number 偶数 integer, whole number 整数 positivewhole number 正整数negative whole number 负整数 consecutive number 连续整数real number, rational number 实数,有理数 irrational（number）无理数inverse 倒数compositenumber 合数prime number 质数reciprocal 倒数common divisor 公约数 multiple 倍数 (minimum) common multiple (最小)公倍数 (prime) factor (质)因子 common factor 公因子ordinary scale, decimalscale 十进制 nonnegative 非负的 tens 十位 units 个位mode 众数 mean平均数 median中值commonratio 公比2. 基本数学概念arithmetic mean 算术平均值weighted average 加权平均值geometric mean 几何平均数 exponent指数,幂 base 乘幂的底数,底边 cube 立方数,立方体 square root 平方根cube root 立方根common logarithm常用对数 digit 数字 constant 常数 variable 变量inverse function 反函数 complementaryfunction 余函数linear 一次的,线性的 factorization 因式分解 absolute value绝对值, round off 四舍五入数学3. 基本运算add,plus 加subtract 减difference 差multiply, times 乘product 积 divide除divisible 可被整除的 divided evenly 被整除 dividend 被除数,红利 divisor 因子,除数,公约数 quotient 商 remainder 余数 factorial 阶乘 power 乘方 radical sign, root sign 根号round to 四舍五入 to the nearest 四舍五入4. 代数式,方程,不等式algebraic term 代数项like terms, similar terms 同类项numerical coefficient数字系数literal coefficient 字母系数inequality 不等式 triangle inequality 三角不等式 range 值域original equation 原方程 equivalent equation 同解方程,等价方程 linear equation 线性方程5. 分数,小数proper fraction 真分数 improper fraction 假分数 mixed number 带分数vulgarfraction,common fraction 普通分数simple fraction 简分数complex fraction繁分数numerator 分子denominator 分母 (least) common denominator （最小）公分母quarter四分之一 decimal fraction 纯小数 infinite decimal 无穷小数 recurring decimal 循环小数tenths unit 十分位6. 集合union 并集 proper subset 真子集 solution set 解集7. 数列arithmetic progression(sequence) 等差数列geometric progression(sequence) 等比数列8. 其它approximate 近似 (anti)clockwise (逆) 顺时针方向 cardinal 基数ordinal 序数directproportion 正比distinct 不同的estimation 估计,近似 parentheses 括号 proportion 比例permutation 排列 combination 组合 table 表格 trigonometric function 三角函数 unit 单位,位几何 GEOMETRY9. 角alternate angle 内错角 corresponding angle 同位角 vertical angle 对顶角central angle圆心角interior angle 内角exterior angle 外角 supplementary angles 补角complementary angle 余角 adjacent angle 邻角 acute angle 锐角 obtuse angle 钝角right angle 直角round angle 周角 straight angle 平角included angle 夹角10. 三角形equilateral triangle 等边三角形 scalene triangle 不等边三角形 isosceles triangle 等腰三角形right triangle 直角三角形oblique 斜三角形 inscribed triangle 内接三角形11. 收敛的平面图形,除三角形外semicircle 半圆 concentric circles 同心圆 quadrilateral 四边形 pentagon 五边形hexagon六边形 heptagon 七边形 octagon 八边形 nonagon 九边形 decagon 十边形 polygon 多边形parallelogram 平行四边形equilateral 等边形plane 平面square 正方形,平方 rectangle 长方形regular polygon 正多边形rhombus 菱形 trapezoid 梯形12. 其它平面图形arc 弧 line, straight line 直线 line segment 线段 parallel lines 平行线 segment of acircle 弧形13. 立体图形cube 立方体,立方数rectangular solid 长方体regular solid/regular polyhedron正多面体circular cylinder 圆柱体cone 圆锥 sphere 球体 solid 立体的14. 图形的附属概念plane geometry 平面几何trigonometry 三角学bisect 平分circumscribe 外切 inscribe内切 intersect 相交 perpendicular 垂直 Pythagorean theorem 勾股定理（毕达哥拉斯定理） congruent 全等的 multilateral 多边的 altitude 高 depth 深度 side 边长circumference, perimeter周长 radian 弧度 surface area 表面积 volume 体积 arm 直角三角形的股 cross section 横截面积center of a circle 圆心 chord 弦 diameter 直径radius 半径angle bisector 角平分线diagonal 对角线化 edge 棱 face of a solid 立体的面 hypotenuse 斜边 included side 夹边 leg三角形的直角边 median（三角形的）中线 base 底边,底数opposite 直角三角形中的对边midpoint 中点 endpoint 端点 vertex (复数形式vertices)顶点 tangent 切线的transversal 截线intercept 截距15. 坐标coordinate system 坐标系 rectangular coordinate 直角坐标系origin 原点 abscissa 横坐标ordinate 纵坐标 number line 数轴quadrant 象限 slope 斜率 complex plane 复平面。
奥数英语词汇
数学mathematics, maths(BrE), math(AmE)定理theorem 计算calculation 运算operation证明prove 假设hypothesis, hypotheses(pl.) 命题proposition算术arithmetic 加plus(prep.), add(v.), addition(n.) 被加数augend, summand加数addend 和sum 减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend 减数subtrahend 差remainder乘times(prep.), multiply(v.), multiplication(n.) 乘数multiplicator被乘数multiplicand, faciend 乘以times 积product除divided by(prep.), divide(v.), division(n.) 被除数dividend除数divisor 商quotient 等于equals, is equal to, is equivalent to 大于is greater than 小于is lesser than 大于等于is equal or greater小于等于is equal or lesser than 运算符operator 数字digit数number 自然数natural number 整数integer小数decimal 小数点decimal point 分数fraction分子numerator 分母denominator 比ratio正positive 负negative 零null, zero, nought, nil十进制decimal system 二进制binary system 十六进制hexadecimal system权weight, significance 进位carry 截尾truncation四舍五入round 下舍入round down 上舍入round up代数algebra 公式formula, formulae(pl.) 等式，方程式equation一次方程simple equation 二次方程quadratic equation 不等式inequation阶乘factorial指数，幂exponent 乘方power二次方，平方square 三次方，立方cube 四次方the power of four, the fourth power n次方the power of n, the nth power集合aggregate 元素element空集void 子集subset 交集intersection并集union 补集complement 常量constant 变量variable奇偶性parity 周期性periodicity 图象image数列，级数series 极限limit 无穷大infinite(a.) infinity(n.)无穷小infinitesimal几何geometry 点point 线line面plane 体solid 线段segment射线radial 平行parallel 相交intersect角angle 角度degree 弧度radian锐角acute angle 直角right angle 钝角obtuse angle平角straight angle 周角perigon 底base边side 高height 三角形triangle锐角三角形acute triangle 直角三角形right triangle 直角边leg斜边hypotenuse 勾股定理Pythagorean theorem 钝角三角形obtuse triangle不等边三角形scalene triangle 等腰三角形isosceles triangle 等边三角形equilateral triangle四边形quadrilateral 平行四边形parallelogram 矩形rectangle长length 宽width 菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square 梯形trapezoid 直角梯形right trapezoid等腰梯形isosceles trapezoid 五边形pentagon 六边形hexagon七边形heptagon 八边形octagon 九边形enneagon十边形decagon 十一边形hendecagon 十二边形dodecagon多边形polygon 正多边形equilateral polygon圆circle圆心centre(BrE), center(AmE) 半径radius 直径diameter圆周率pi 弧arc 半圆semicircle扇形sector 环ring 圆周circumference周长perimeter 面积area 轨迹locus, loca(pl.)相似similar 全等congruent四面体tetrahedron五面体pentahedron 六面体hexahedron 平行六面体parallelepiped立方体cube 七面体heptahedron 八面体octahedron九面体enneahedron 十面体decahedron 十一面体hendecahedron十二面体dodecahedron 二十面体icosahedron 多面体polyhedron棱锥pyramid 棱柱prism 棱台frustum of a prism旋转rotation 轴axis 圆锥cone圆柱cylinder 圆台frustum of a cone 球sphere半球hemisphere 底面undersurface 表面积surface area体积volume 空间space坐标系coordinates坐标轴x-axis, y-axis, z-axis 横坐标x-coordinate 纵坐标y-coordinate原点origin 周期period 内心incentre(BrE), incenter(AmE) 外心excentre(BrE), excenter(AmE) 旁心escentre(BrE), escenter(AmE)垂心orthocentre(BrE), orthocenter(AmE) 重心barycentre(BrE), barycenter(AmE)内切圆inscribed circle 外切圆circumcircle统计statistics平均数average 加权平均数weighted average 比例propotion百分比percent 百分点percentage 百分位数percentile排列permutation 组合combination 概率，或然率probability分布distribution图表graph条形统计图bar graph 柱形统计图histogram 折线统计图broken line graph曲线统计图curve diagram 扇形统计图pie diagram。
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。
2小学奥数词汇专项
小学奥数词汇专项number n.数，数字natural number 自然数prime number 质数composite [ˈkɔmpəzit] number 合数positive number 正数mean 平均数odd adj.奇数even n.偶数even integer [ˈɪntɪdʒə(r)], even number偶数integer（whole number) n.整数value 值minimum 最小值maximum n.最大的，最大值minimum n.最小的，最小值least possible value 最小可能值divisor [dɪˈvaɪzə(r)]n.约数，除数multiple n.倍数，若干least common multiple 最小公倍数positive integer 正整数fraction n.分数proper fraction 真分数vulgar [ˈvʌlɡə] fraction 普通分数denominator [dɪˈnɒmɪneɪtə(r)] 分母mixed number 带分数least common denominator最小公分母numerator [ˈnju:məreɪtə(r)] 分子remainder [rɪˈmeɪndə(r)] 余数simple(common)fraction 简分数decimal [ˈdesɪml] n.小数circulating decimal 循环小数decimal point 小数点decimal faction 纯小数mixed decimal 混合小数percentage 百分比proportion 比例quarter 四分之一more than 大于less than 小于not more than 不大于digit n.数字，阿拉伯数字units' digit 个位数字tens digit 十位数字units 个位tens 十位tenths 十分位sum n.和，总数subtract 减minus (take away) 减，负，负数subtrahend [ˈsʌbtrəhend] 减数minuend [ˈminjuend] 被减数multiply（times) 乘multiplicand [ˌmʌltipliˈkænd] 被乘数multiplication 乘法multiple 乘数difference 差subtract 减subtrahend [ˈsʌbtrəhend] 被减数divide 除equal 相等，等于divided evenly 被整除devidend 被整除，红利average n.平均数power 乘方quotient [ˈkwəʊʃnt]商product 积round off(round to) 四舍五入equation n.方程satisfy v.满足increase n.增加reduce v.减少line 直线line segment 线段length 长parallel lines 平行线triangle n.三角形regular triangle 正三角形isosceles [aɪˈsɔsəˌli:z] triangle等腰三角形rectangle n.矩形，长方形square n.正方形，平方parallelogram [ˌpærəˈleləgræm]n.平行四边形trapezia [trəˈpi:ziə] n.梯形rhombus [ˈrɒmbəs] 菱形cube n.正方体，立方体，立方cuboid [ˈkju:bɔɪd] adj.长方体column n.圆柱taper [ˈteɪpə(r)] n.圆锥measure n.尺寸，v.度量circle n.圆semicircle 半圆radius [ˈreɪdiəs] n.半径diameter [daɪˈæmɪtə(r)] n.直径surface area 表面积polygon [ˈpɔli:ˌgɔn] 多边形angle 角，角度right-angle 直角right-triangle 直角三角形acute [əˈkju:t] -angle 锐角obtuse [əbˈtju:s]angle 钝角side 边长perimeter [pəˈrɪmɪtə] n.周长circumference [səˈkʌmfərəns]周长，圆周width 宽area n.面积volume 体积apiece [əˈpi:s] 每人arithmetic[əˈrɪθmətɪk]progression(sequence)等差数列altitude 高bisect [baɪˈsekt] 平分divisor [dɪˈvaɪzə(r)] 因子factor 因子prime factor 质因子common factor 公因子common multiple 公倍数common divisor 公因数common fraction 普通分数complex fraction 繁分数consecutive number 连续整数consecutive even integer 连续偶数consecutive odd integer 连续奇数direct proportion 正比inverse proportion 反比distinct 不同的factorial [fækˈtɔ:riəl] 阶乘inverse 倒数reciprocal 倒数progression 数列the extremes of a proportion 比例外项the means of a proportion 比例内项。
奥数词汇
奥数词汇一、图形类线（线段，直线，射线line (line segment, straight line, radial line)角（锐角，直线,钝角angles (acute angle, right angle, obtuse angle)三角形triangle(直角三角形right angled triangle, 等腰三角形isosceles triangle)四边形（长方形，正方形，平行四边形，梯形）quadrilateral (rectangle, square, parallelogram, trapezoid)圆形（圆，扇形circle (circle,sector)体（长方体，立方体，圆柱体，圆锥体solid (rectangular solid, cube, circular cylinder,cone)二、计算类长度单位length measure (千米kilometer, 米meter, 分米decimeter, 厘米centimeter, 毫米millimeter)面积单位area measure (平方千米square kilometer, 公顷hectare, 平方米square meter, 平方分米square decimeter, 平方厘米square centimeter)体积面积cubic measure (立方米cubic meter, 立方分米cubic decimeter, 立方厘米cubic centimeter)重量单位weight measure (吨ton, 千克kilogram, 克gram)时间单位time measure (世纪century, 年year, 月month, 周week, 日day, 小时hour, 分minute, 秒second)角度问题angle measure (度degree, 分minute, 秒second)周长perimeter, 面积area, 体积volume, 表面积surface area, 阴影shadow直径diameter, 半径radius, 边长side length (长length, 宽width, 高height, 底边base, 棱长edge length)三、计算类加add/plus/and, 减minus/subtract/difference, 乘times/multiply, 除divide, 平方square个entry, 十ten, 百hundred, 千thousand, 万ten thousand, 百万million, 十亿billion十分之一tenth, 百分之一centesimal, 千分之一thousandth和sum, 差remainder, 积product, 商quotient, 倍times, 相等equal, 大于bigger/larger小于smaller/less than, 增加increase, 减少decrease, 扩大extend, 缩小reduce, 被除数dividend, 除数divisor, 余数remainder, 整除divisible四、应用类路程distance, 速度speed, 时间time, 顺速direct speed, 逆速indirect speed, 船速ship/boat speed, 水速water speed, 顺行direct 逆行recessive,相遇encounter/meet追击chase, 同时same time, 同地same place十二生肖mouse, cow, tiger, rabbit, dragon, snake, horse, sheep, monkey, chicken, dog and pig星期几表示Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday 月的表示January, February, March, April, May, June, July,August, September, October, November, December序数词first, second, third, forth, fifth…顺序表示(第一次first time, 第一个first one, 第一天first day, 第一列first row, 第一行first line 等)平均数mean, 周期cycle/period, 质数prime number, 合数composite number, 最小公倍数minimum common multiple, 最大公约数maximum common divisor,自然数natural number, 整数inter/ whole number, 分数fraction, 小数decimal, 奇数odd inter/odd number, 偶数even integer/even number五、补充运算calculation, 被乘数faciend/multiplicand, 等于be equivalent to, 数字digit, f 分子numerator, 比ration, 公式formula, 方程式equation, 不等式inequation, 平行paraller, 相交intersect, 直角边leg, 等边三角形equilateral triangle, 五边形pentagon, 六边形hexagon, 七边形heptagon, 八边形octagon, 多边形polygon, 中心centre, 半圆semicircle, 体积volume, 平均数average, 比例propotion, 百分比percent, 百分点percentage, 图表graph, 中点midpoint, 零null, 四舍五入round, 阴影部分graphic area, 图形figure, 因数factor, 利润profit, 分别respectively, 盐水brine, 倒入pour into, 容器container, 浓度concentration, 重新排列rearrange, 高速公路high way, 连续的continuous, 定理super position。
英语奥林匹克竞赛单词表
agree with .同意意见（想法）；符合；一致
angry animal another answer any any more anybody anyone anything anytime anywhere appear apple April are aren't arm around arrive art artist as as as as if
after class .课后 after school .放学后；下课后
afternoon again again and again against age ago agree ah aha air airport alike alive all all all all by oneself all day all kinds of all over all right all the same all the time all the year round allow almost alone along already also although always am amaze amazing America American among an and and so on angel
Australian n.澳大利亚人
basketball n.篮球
be able to be afrrald of be amazed at be angry witb be born be busy doing be excited about be famous for be fed up with be filled with be full (of)
n.下午；午后 adv.又；再 .再三地；一再地；反复地 prep.与„„对抗；对着 n.年龄 adv.以前 v.同意；赞成 interj.啊；呀 interj.啊哈 n.天空；空气 n.航空站；飞机场 adj.相似的；相像的 adj.活着的 adv.都；完全 adj.所有的；整个 pron.全体；全部 .独立；单独 .一整天；一天到晚 .各种各样的 .遍及 .好；行；不错 .仍然；还是 .一直；始终；老是 . 一年到头 v.允许；准许 adv.几乎；差不多 adv.独自；单独地 prep.沿着；顺着 adv.一道；一起 adv.已经 adv.也 conj.虽然；尽管 adv.总是；一直；经常 v.是 v.使„„大为惊讶；使惊谔 adj.令人惊奇的；惊人的 n.美国 n.& adj.美国人（的） prep.在„„当中 art.一(个；件„„)(用于元音素开 头词前) conj.和；又；而 .等等 n.天使；守护神
五年级英语奥林匹克竞赛单词
五年级英语奥林匹克竞赛单词1.distinguish vt. 区分,辨别2. distress n. 痛苦,悲伤 vt. 使痛苦3. facility n. [pl.] 设备,设施;便利,方便4. faculty n.能力,技能;系,学科/院;全体教员5. mixture n. 混合,混合物6. mood n. 心情,情绪;语气7. moral a. 道德上的,有道德的8. prominent a. 突出的9. substance n. 物质;实质10. substantial a. 可观的;牢固的;实质的11. prompt vt. 促使 a. 敏捷的,及时的12 vivid a. 生动的13. waist n. 腰,腰部14. weld v./n. 焊接15. yawn vi. 打哈欠16. yield vi. (to)屈服于;让出,放弃 n. 产量17. zone n. 地区,区域18. strategy n. 战略,策略19. strategic a. 战略(上)的,关键的20. tense a. 紧张的 v. 拉紧 n. 时态21. tension n. 紧张(状态),张力22. avenue n. 林荫道,大街23. available a. 现成可用的;可得到的24. comparable a. (with,to)可比较的,类似的25. comparative a. 比较的,相对的26. dash vi. 猛冲,飞奔27. data n. 数据,资料28. dive vi. 跳水,潜水29. diverse a. 不同的,多种多样的30. entitle vt. 给...权利,给...资格31.disturb vt. 打搅,妨碍32. infer v. 推论,推断33. integrate v.(使)成为一体,(使)合并34. moist a. 潮湿35. moisture n. 潮湿36. promote vt. 促进;提升37. region n. 地区;范围;幅度38. register v./n.登记,注册39. stable a. 稳定的40. sophisticated a. 老于世故的,老练的;很复杂的41. splendid a. 极好的,壮丽的,辉煌的42. cancel vt. 取消,废除43. variable a. 易变的,可变的44. prospect n. 前景,前途;景象45. prosperity n.兴旺,繁荣46. aspect n. 方面;朝向;面貌47. cope vi. (with)(成功地)应付,处理48. core n. 果心,核心49. maintain vt. 维持,保持;坚持,主张50. mainland n. 大陆51. discipline n. 纪律;惩罚;学科52. domestic a. 本国的,国内的;家用的;家庭的53. constant a. 不变的,恒定的 n. 常数54. cliff n. 悬崖,峭壁55. authority n. 权威;当局56. audio a. 听觉57. attitude n. 态度58. community n. 社区,社会59. commit vt.犯(错误,罪行等),干(坏事等)60. comment n./vt. 评论1.accelerate vt. 加速,促进2.absolute a. 绝对的,无条件的;完全的3.liberal a. 慷慨的;丰富的;自由的4.transport vt. 运输,运送 n. 运输,运输工具d a. 温暖的,暖和的;温柔的,味淡的6.tender a. 温柔的;脆弱的7.nuisance n. 损害,妨害,讨厌(的人或事物)8.insignificant a. 无意义的,无足轻重的;无价值的9.export n. 出口(物) v. 出口,输出10. import n. 进口(物) v. 进口,输入11. impose vt. 把...加强(on);采用,利用12. religion n. 宗教,宗教信仰13.burst vi./n. 突然发生,爆裂14.dispose vi. 除掉;处置;解决;处理(of)15.blast n. 爆炸;气流 vi. 炸,炸掉16.consume v. 消耗,耗尽17.split v. 劈开;割裂;分裂 a.裂开的18.spit v. 吐(唾液等);唾弃19.spill v. 溢出,溅出,倒出20. extinct a. 绝灭的,熄灭的21.slide v. 滑动,滑落 n. 滑动;滑面;幻灯片22.bacteria n. 细菌23.breed n. 种,品种 v. 繁殖,产仔24.budget n. 预算 v. 编预算,作安排25.candidate n. 候选人26.campus n. 校园27.transform v. 转变,变革;变换28.transmit v. 传播,播送;传递29.transplant v. 移植30.shift v. 转移;转动;转变121. bother v. 打搅,麻烦122. interfere v. 干涉,干扰,妨碍123. internal a. 内部的,国内的124. beforehand ad. 预先,事先125. racial a. 人种的种族的126. radiation n. 放射物,辐射127. radical a.根本的;激进的128. range n. 幅度,范围 v. (在某范围内)变动129. wonder n. 惊奇,奇迹 v. 想知道,对...感到疑惑130. isolate vt. 使隔离,使孤立131. issue n. 问题,争论点;发行,(报刊)一期132. hollow a. 空的,中空的,空虚道133. hook n. 钩 vt. 钩住134. adequate a. 适当地;足够135. adhere vi. 粘附,附着;遵守,坚持136. ban vt. 取缔,禁止137. capture vt. 俘虏,捕获138. valid a. 有效的,有根据的';正当的139. valley n. 山谷,峡谷140. consistent a. 坚固定;一致的,始终如一的141. continuous a. 继续的,连续(不断)的142. continual a. 不断地,频繁的143. explode v. 爆炸;爆发;激增144. exploit v. 剥削;利用,开采145. explore v. 勘探146. explosion n. 爆炸;爆发;激增147. explosive a. 爆炸的;极易引起争论的148. remote a. 遥远的,偏僻的149. removal n. 除去,消除150. render vt. 使得,致使61. career n. 生涯,职业62. vessel n. 船舶;容器,器皿;血管63. vertical a. 垂直的64. obscure a. 阴暗,模糊65. extent n. 程度,范围,大小,限度66. external a. 外部的,外表的,外面的67. petrol n. 汽油68. petroleum n. 石油69. delay vt./n. 推迟,延误,耽搁70. decay vi. 腐烂,腐朽71. decent a. 像样的,体面的72. route n. 路;路线;航线73. ruin v. 毁坏,破坏 n. 毁灭,[pl.]废墟74. sake n. 缘故,理由75. satellite n. 卫星76. temple n. 庙宇77. tedious a. 乏味道,单调的,78. tend vi.易于,趋向79. tendency n.趋向,趋势80. ultimate a. 极端的,最大的,最终的 n. 极端81. adopt v. 收养;采用;采纳82. adapt vi. 适应,适合;改编,改写 vt. 使适应83. bachelor n. 学士,学士学位;单身汉84. casual a. 偶然的,碰巧的;临时的;非正式的85. trap n. 陷阱,圈套 v. 设陷阱捕捉86. vacant a. 空的,未占用的87. vacuum n. 真空,真空吸尘器88. oral a. 口头的,口述的,口的89. optics n. (单、复数同形)光学90. organ n. 器官,风琴91. excess n. 过分,过量,过剩92. expel v. 驱逐,开除,赶出93. expend v. 消费94. expenditure n. 支出,消费;经费95. expense n. 开销,费用96. expensive a. 花钱多的;价格高贵的97. private a. 私人的,个人的98. individual a. 个别的,单独的 n. 个人,个体99. personal a. 个人的,私人的;亲自的100. personnel n. [总称]人员,员工;人事部门101. the Pacific Ocean 太平洋102. the Atlantic Ocean 大西洋103. the Arctic Ocean 北冰洋104. the Antarctic Ocean 南冰洋105. grant vt. 授予,同意,准予106. grand a. 宏伟大,壮丽的,重大的107. invade v. 侵入,侵略,侵袭108. acid n. 酸,酸性物质 a. 酸的;尖刻的109. acknowledge v. 承认;致谢110. balcony n. 阳台111. calculate vt. 计算,核算112. calendar n. 日历,月历113. optimistic a. 乐观114. optional a. 可以任选的,非强制的115. outstanding a. 杰出的,突出的,显著的116. religious a. 宗教的117. victim n. 牺牲品,受害者118. video n. 电视,视频 a. 电视的,录像的119. videotape n. 录像磁带 v. 把...录在录像带上120. offend v. 冒犯,触犯。
英语奥数单词总汇
英语奥数单词总汇加：plus [plʌs]; add [æd]; and和：sum [sʌm]; total [ˈtəutəl]; addition [əˈdiʃən]减：minus [ˈmainəs]; subtract [səbˈtrækt]; take from差：difference; remainder [ri’meində]乘：time; multiply [ˈmʌltiplai]积：product [ˈprɔdʌkt]除：divide [diˈvaid]商：quotient [ˈkwəʊʃənt]等于：is; equal [ˈi:kwəl]; make; get2:3 ：the ratio [ˈreiʃiəu] of two to three126:3=42：the ratio of one hundred and twenty-six to three equals /is forty-two8的平方: the square [skwɛə] of eight; 8 squred二分之一：one half三分之一：one third四分之一：one fourth, one quarter [ˈkwɔ:tə]四分之三：three quarters一又四分之一：one and a fourth百分之一：one percent [pəˈsent]百分之九十九：ninety-nine out of a hundred万分之一：one of ten thousand长度单位：kilometers(千米)；meters(米)；decimeter(分米)；centimeter (厘米)；millimeter(毫米) 面积单位：square kilometers(平方千米)；square meters(平方米)；square decimeter (平方厘米)；square centimeter (平方厘米)；square millimeter(平方毫米)体积单位：cubic [ˈkju:bɪk] kilometers(立方千米)；cubic meters(立方米)；cubic decimeter (立方厘米) ；cubic centimeter (立方厘米)；cubic millimeter(立方毫米) liter [ˈlitɚ] (升)；milliliter(毫升)运算符号：operational [ˈɔpəˈreiʃənəl] symbol [ˈsimbəl]自然数：natural numbers尽可能大：as big as possibleDigit [ˈdɪdʒɪt]：阿拉伯数字，数字，数位，位Figure [ˈfiɡə]：数字，图形diagram [ˈdaiəɡræm]：图形三位数：3-digit number; 3-digit figure; three digits两位数：double-digit一位数：single figures十位：10-digit个位：single-digit百位： hundredth-digit中间三位数：middle three digits头三位数：first three digits汉字：Chinese characters代表：Represent交换：exchange底部：at the bottom代替：replace1.25分钟：a minute and a quarterA is three times larger than B. A比B大三倍。
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数奥常用英文
number n.数，数字natural number 自然数
prime number 质数composite number 合数
positive number 正数mean 平均数
odd adj.奇数even n.偶数
even integer, even number 偶数integer（whole number) n.整数
value 值minimum 最小值
maximum n.最大的，最大值minimum n.最小的，最小值
least possible value 最小可能值divisor n.约数，除数
multiple n.倍数，若干least common multiple 最小公倍数positive integer 正整数fraction n.分数
proper fraction 真分数vulgar fraction 普通分数denominator 分母least common denominator 最小公分母numerator 分子mixed number 带分数
remainder 余数simple(common)fraction 简分数decimal n.小数circulating decimal 循环小数
decimal point 小数点decimal faction 纯小数
mixed decimal 混合小数percentage 百分比
proportion 比例quarter 四分之一
more than 大于less than 小于
not more than 不大于digit n.数字，阿拉伯数字
units's digit 个位数字tens digit 十位数字
units 个位tens 十位
tenths 十分位sum n.和，总数
subtract 减minus(take away) 减，负，负数subtrahend 减数minuend 被减数
multiply（times) 乘multiplicand 被乘数
multiplication 乘法multiple 乘数
difference 差subtract 减
subtrahend 被减数divide 除
equal 相等，等于divided evenly 被整除
devidend 被整除，红利average n.平均数
power 乘方quotient 商
product 积round off(round to) 四舍五入equation n.方程satisfy v.满足
increase n.增加reduce v.减少
line 直线line segment 线段
length 长parallel lines 平行线
triangle n.三角形regular triangle 正三角形isoceles triangle 等腰三角形rectangle n.矩形，长方形square n.正方形，平方parallelogram n.平行四边形trapezia n.梯形rhombus 菱形
cube n.正方体，立方体，立方cuboid adj.长方体
column n.圆柱taper n.圆锥
measure n.尺寸，v.度量circle n.圆
semicircle 半圆radius n.半径
diameter n.直径surface area 表面积
polygon 多边形convex polygon 凸多边形regular polygon 正多边形angle 角，角度
right-angle 直角right-triangle 直角三角形acute-angle 锐角obtuse angle 钝角
side 边长perimeter n.周长circumference 周长，圆周width 宽
area n.面积volume 体积
apiece 每人
arithmetic progression(sequence) 等差数列altitude 高
bisect 平分divisor 因子
factor 因子prime factor 质因子
common factor 公因子common multiple 公倍数common divisor 公因数common fraction 普通分数complex fraction 繁分数consecutive number 连续整数consecutive even integer 连续偶数consecutive odd integer 连续奇数direct proportion 正比inverse proportion 反比
distinct 不同的factorial 阶乘
inverse 倒数reciprocal 倒数
progression 数列
the extremes of a proportion 比例外项
the means of a proportion 比例内项。