英语的数学题

Ⅰ 用英文出的数学题

There istwo squares.One is ABCD and another is EFGH.Their areas' difference is 37.Q:What is the area of CDFG?

PICTURE：

中文：正方形ABCD与正方形BEFG放在一起。两个正方形面积之差等于37平方厘米。问：四边形CDGF的面积是多少？

解答：设正方形ABCD的边长是a,正方形BEFG的边长是b
四边形CDGF的面积
=(FG+CD)×CG÷2
=(b+a)×(a-b)÷2
=(a²-b²)/2
=37/2㎝²
=18.5㎝²

解答看不懂可以追问我

Ⅱ 英文的数学题

原题是：The ratio of blue marbles to green marbles in a bag is 2 to 5. there are 25 green marbles. How many marbles in which color would you have to add to make the ratio 1 to 3?
题意如下：在一个袋子里面，蓝色的弹珠和绿色的弹珠的比例为2：5，绿回色的弹珠有25个。问答：要增加哪种颜色的弹珠使得袋中两者的比例为1：3？增加多少？

解：
（-）设增加的是蓝珠。 增加前蓝珠的比列占总弹珠的2/7=8/28.增加后若蓝色：绿色为1：3，则蓝色占总弹珠的1/4=7/28<8/28.所以增加后蓝色：绿色为3：1.
根据题意可知：
（25÷1/4*3/4）-（25÷5/7*2/7）=65（个）
所以增加65个蓝色弹珠后，绿色弹珠和蓝色弹珠的比例为1：3

（二）设增加的是绿珠。则蓝珠不变。同理可知增加绿珠后蓝珠：绿珠=1：3，而不是3：1.
根据题意可知：
（25÷5/7*2/7）÷1/4*3/4-25=5
所以增加5个绿色弹珠后，蓝色弹珠和绿色弹珠的比例为1：3

Ⅲ 英语数学题

^1.The sum of n different natural numbers is less than50.the greatest possible value of n is----
2.Let a be the average of all odd prime numbers less than 50.The inreger,most close to a is----
3.If two even natural numbers x,y satisfy equation x
答案：
1. Since there are some controversies, I suppose 0 does not belong to natural numbers in this case. The answer is quite straight foward, 1+2+3+4+5+6+7+8+9=45. If we add 10, then the sum will exceed 50. So the greatest possible n is 9.

2. First of all, you can list all the odd prime numbers less than 50:3 5 7 11 13 17 19 23 29 31 37 41 43 47. Add them up, and calculate the average. The average a is equal to 23.3. Therefore the integer, most close to a is 23.

3. x^2+100=y^2,then (y-x)(x+y)=100, since x and y are natural numbers, x+y>0, y should be larger than x. I am afraid there is either something wrong with the problem or a typing mistake.
You can show me the original version of the problem 3.

Ⅳ 用英语出的数学题（初中水平）

1. Two numbers differ by 57. Their sum is 185. Find the numbers. Choices for the smaller number:54 64 74.

2.A bus went 318 km farther than a car. The car went one third as far as the bus. How far did each vehicle travel? Choices for the smaller number: 147 151 159

3.one number 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 33

4.A clown 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 : 110 120 125

5. The U.S. 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 44

6.The ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there? how many girls are there? Choices for the number of boys: 191 202 207

7. Elena has one and a half times as much money as Ramon.Together they have 225. how much money does each have?
Choices for Ramom's amount;80 90 95

8. 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 18