AMC 8 1996 Problem 3
AMC8 1996 年第 3 题
数列与规律★☆☆☆☆
The 64 whole numbers from 1 through 64 are written, one per square, on a checkerboard (an 8 by 8 array of 64 squares). The first 8 numbers are written in order across the first row, the next 8 across the second row, and so on. After all 64 numbers are written, the sum of the numbers in the four corners will be
1 到 64 的 64 个正整数被写在一个棋盘（8行8列共 64 格）上，每格一个数。前 8 个数按顺序写在第一行，接下来 8 个写在第二行，以此类推。所有 64 个数写完后，四个角落方格中的数之和是
- A.130
- B.131
- C.132
- D.133
- E.134
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
Obviously 1 is in the top left corner, 8 is in the top right corner, and 64 is in the bottom right corner. To find the bottom left corner, subtract 7 from 64 which is 57. Adding the results gives 1+8+57+64=130 which is answer .
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