英語的數學題

Ⅰ 用英文出的數學題

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與正方形BEFG放在一起。兩個正方形面積之差等於37平方厘米。問：四邊形CDGF的面積是多少？

解答：設正方形ABCD的邊長是a,正方形BEFG的邊長是b
四邊形CDGF的面積
=(FG+CD)×CG÷2
=(b+a)×(a-b)÷2
=(a²-b²)/2
=37/2㎝²
=18.5㎝²

解答看不懂可以追問我

Ⅱ 英文的數學題

原題是：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?
題意如下：在一個袋子裡面，藍色的彈珠和綠色的彈珠的比例為2：5，綠回色的彈珠有25個。問答：要增加哪種顏色的彈珠使得袋中兩者的比例為1：3？增加多少？

解：
（-）設增加的是藍珠。 增加前藍珠的比列占總彈珠的2/7=8/28.增加後若藍色：綠色為1：3，則藍色占總彈珠的1/4=7/28<8/28.所以增加後藍色：綠色為3：1.
根據題意可知：
（25÷1/4*3/4）-（25÷5/7*2/7）=65（個）
所以增加65個藍色彈珠後，綠色彈珠和藍色彈珠的比例為1：3

（二）設增加的是綠珠。則藍珠不變。同理可知增加綠珠後藍珠：綠珠=1：3，而不是3：1.
根據題意可知：
（25÷5/7*2/7）÷1/4*3/4-25=5
所以增加5個綠色彈珠後，藍色彈珠和綠色彈珠的比例為1：3

Ⅲ 英語數學題

^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 用英語出的數學題（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