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

2006

1155，则这三个素数中最大的是多少 1. The sum of the reciprocals of three prime numbers is 2006

1155, 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7

4；它的分母减2，可以约简为25

14。这个分数是多少 2. There is a fraction. If its numerator adds 2, it can be reduced to be 7

4; if its denominator subtracts 2, it can be reduced to be 25

14. So what is this fraction 3、一个数分别除以1411，2110，49

20，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 49

20 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12

110181614121+++++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

12

110181614121+++++ to make the sum of remaining fractions to be 1. So what are these two fractions 6、一个整数与它的倒数的和等于，这个整数是多少它的倒数是多少

6. The sum of an integer and its reciprocal is , so what is this integer and what is its reciprocal

7、四个非零自然数的和为38，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a 2+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 a 2+b=2008, 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

4

1211++++p p p 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 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 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

12. As shown in the picture, how many different ways are there to go 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 made some 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

14、 袋里有若干个球，其中红球占12

5，后来又往袋里放了6个红球，这时红球占总数的2

1。现在袋里有多少个球 14. There are some balls in a bag and the red balls account for 12

5 of the total amount. After adding another

6 red balls into the bag, the red balls account for 2

1 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, speaking “I’m ” “the ” “best ” from the head of the row to the end of the row (each student speaks one word at a time) and then speaking these three words from the end of the row to the head of it. So, how many students speak “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。求这条船在静水中的速度。

1. It takes a boat 5 hours to sail 48 km downstream and 16 km upstream. And it also takes the boat 5 hours to sail 32 km downstream and 24 km upstream. So what is the speed of this boat in still water