2003 AMC 10A
1、What is the difference between the sum of the first even counting numbers and the sum of the first odd counting numbers?
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Solution
saipan
The first even counting numbers are .
The first 皇后大学odd counting numbers are 英语人才.
Thus, the problem is asking for the value of .
.
Alternatively, using the sum of an arithmetic progression formula, we can write .
2、Members of the Rockham Soccer League buy socks and T-shirts. Socks cost per pair and each T-shirt costs more than a pair of socks. Each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is , how many members are in the League?
Solution
Since T-shirts cost dollars more than a pair of socks, T-shirts cost bbc 中国新年怎样学习会计dollars.
千与千寻内地定档
Since each member needs pairs of socks and T-shirts, the total cost for member is dollars. invent
基础化妆Since dollars was the cost for the club, and was the cost per member, the number of members in the League is . 英文在线
3、A solid box is cm by cm by cm. A new solid is formed by removing a cube cm on a side from each corner of this box. What percent of the original volume is removed?