[Toán 6] Bài toán bằng tiếng anh

K

kieuquocdat

Question 1: Find the last two digits of the sum:
2005^11+2005^12+2005^13+...+2005^2006 ?
Question 2: Find the number of different positive integer triples (x,y,z) satisfying the equations: x^2+y-z=100 and x+y^2-z=124 ?
Question 3: What is the lảgest positive integer n satisfying the following inequality:
n^2006<7^2007:)&gt;-:)&gt;-:)&gt;-:)&gt;-:)&gt;-
 
K

kieuphuong232

Đây chỉ là một số bài thôi, nếu cần thêm thì bạn nói mình nha!:)

1. What is the difference between the sum of the first 2008 even numbers and the sum of the first 2008 odd numbers?
2. The sides of a triangel have lengths that are consecutive whole numbers and its perimater is greater than 2008 cm. If the least possible perimeter of the triangle is x cm, find the value of x.
3. Find the value of 2008 x 20072007 – 2007 x 20082007.
4. When a rectangular sheet of paper with length 8 cm is folded exactly into half, the ratio of its lenghts to its width remains unchanged. If the square of the width of the original piece of paper = x [TEX]cm^2[/TEX], find the value of x.
5. The numbers 1 to 10 are arranged in the circles in such a way that the sum of the four numbers on the each line is 21. What is the value if n?
6. Find the value of (56789 + 67895 + 78956 + 89567 + 95678) : 5
7. One hundred numbers are places a long the circumference of the circle. When any five adjacent numbers are added, the total is almays 40. Find the difference between the largest and the smallest of these numbers.
8. In triangle PQR, PQ = 6 cm, PR = 4 cm and QR = 6 cm. If sides PQ and PR are tripled while OR remains unchanged, then
(1) the area is tripled
(2) the area increases by 9 times
(3) the altitude is tripled
(4) the area decreases to 0 [TEX]cm^2[/TEX].
(5) none of the above
9. Find the last 5 digits of the sum
1 + 22 + 333 + 4444 + 55555 + 666666 + 7777777 + 88888888 + 999999999
10. If an arc of 80° on cirle A has the same length as an arc of 60° on cirle B, and that the ratio of the area of cirle A to the area of the cirle B is a : b, find the smallest value of a + b.
 
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C

congchuahapi

Các cậu ơi, ai có các bài toán bằng tiếng Anh thì gửi cho mình bài với. Mình xin cảm ơn nhiều.
 
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