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1、.外国语学校小升初英语奥数训练题第一部分1、 三个素数的倒数之和是,则这三个素数中最大的是多少？1. The sum of the reciprocals of three prime numbers is, so what is the greatest one among the three prime numbers?2、 有一个分数,它的分子加2,可以约简为；它的分母减2,可以约简为。这个分数是多少？2. There is a fraction. If its numerator adds 2, it can be reduced to be; if its denominatorsu
2、btracts 2, it can be reduced to be. So what is this fraction? 3、 一个数分别除以,所得的商都是自然数。这个数最小是多少？3. A number is divided by, and respectively and thequotients are all natural numbers. So whatis 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 i
3、s 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、
4、从中去掉两个分数,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 to make the sum of remaining fractionsto be 1. So what are these two fractions? 6、 一个整数与它的倒数的和等于20.05,这个整数是多少？它的倒数是多少？6. The sum of an integer and its reciprocal is 20.05, so what is this integer and what is its reciprocal? 7、 四个非零自然数的和为3
5、8,这四个自然数的乘积的是小值是多少？最大值是多少？7. The sum of four nonzero natural numbers is 38, so what can the minimum product of these four natural numbers be? And what can the maximum product be?8、 已知a是质数,b是偶数,且a2+b=2008,则a+b+1结果是多少？8. It is known that a is a prime number and b is an even number and that a2+b=2008,
6、so what is the result of a+b+1? 9、 一个质数p,使得p+2,p+4同时都是质数。则的结果是多少？9. There is a prime number p, which can make p+2 and p+4 to be prime numbers as well. So what is the result of? 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 al
7、l greater than 0. If they should satisfy the equation of a+b+c+d=20, how many groups of such even numbers are there?11、 在一个两位数的中间加上一个0,得到的新数比原来大8倍,原来的两位数是多少？11. Add a 0” to the middle place of a double-digit number, so that the new three-digit number is 8 times more than the original number. So what
8、 is the original double-digit number?12、 如图,从A到B有多少条不同的路线？只能向上或向左走 B A12. As shown in the picture, how many different ways are there to go from A to B? 13、 小马虎在考试中做一道计算题时,将一个数乘9错算成除以9,接着又将加上30错算成减去30,结果得18,如果按正确的运算顺序,所得的结果是多少？13. When doing a calculation in an exam, a careless student made some mist
9、akes. Rather than multiplying a number by 9 and then adding 30, he divided the number by 9 and then subtracted 30, so that the result was 18. If he did the calculation correctly, what would the result be? 14、 袋里有若干个球,其中红球占,后来又往袋里放了6个红球,这时红球占总数的。现在袋里有多少个球？14. There are some balls in a bag and the red
10、 balls account for of the total amount. After adding another 6 red balls into the bag, the red balls account for of the total amount. So how many balls are there in the bag now? 15、 有1567名同学排成一排玩游戏,从排头到排尾按顺序说我最棒3个字每人说一个字,再从排尾到排头重新按顺序说这3个字,其中有多少人两次都说我这个字？15. 1567 students stand in a row to play games
11、, speaking Imthebest from the head of the row to the end of the row and then speaking these three words from the end of the row to the head of it. So, how many students speak Im twice? 第二部分1、 一条船顺水航行48千米,再逆水航行16千米,共用了5小时；这条船顺水航行32千米,再逆水航行24千米,也用了5小时。求这条船在静水中的速度。1. It takes a boat 5 hours to sail48 k
12、m downstream and 16 km upstream. And it also takes the boat 5 hours to sail 32 km downstream and 24 kmupstream. So what is the speed of this boat in still water? 2、 有一所学校,男生占学生总人数的,学生总人数与男生人数都是三位数,组成这两个三位数的六个数字正好是1、2、3、4、5、6。问：这所学校有多少学生？2. In a school, boy students account for of all the students. I
13、t is known that the number of all the students and the number of boys are both three-digit numbers and the six digits making up these two three-digit numbers are 1, 2, 3, 4, 5 and 6. So how many students are there in this school? 3、 六个小朋友在一起做游戏。他们每人想一相整数写在卡片上交给老师,老师用不同的方式把其中5人写的数加在一起,得到以下6个数：87、92、9
14、8、99、104、110。那么卡片上写的数中最接近平均数的是什么数？3. Six children playgames. Each of them writes down an integer on a card and gives the card to a teacher. The teacher adds up any 5 of the six numbers in different ways and gets the following six numbers: 87, 92, 98, 99, 104and 110.So what number on the six cards is
15、 closest to the average number? 4、 现在一副去掉大小王的扑克牌,共52张。把它们洗匀后,分成A、B两组,各26张。请问：在1000次洗牌中,A组中的黑牌数和B组中的红牌数,有几次会完全相同？4. There is a set of playing cards, a total of 52 cards, which does not include the big king and the little king.After being shuffled, the cards are divided into A and B groups, 26 cards in each group. So in 1000 times of shuffle, how many times will the number of black cards in Group A be exactly equal to the number of red cards in Group B? 5、 给10位学生发铅笔,每人3支还剩下一些,每人4支又不够。如果剩下的和不够的同样多,那么共有多
