新加坡
SASMO是新加坡和东南亚国家的奥数竞赛，英文全称是Singapore and Asian Schools Math Olympiad。这个竞赛是大众性活动，举办目的是为了培养学生对数学的兴趣。（说到这儿，有点惋惜中国的华罗庚杯赛了，好好地说没就没了）
来几道SASMO练习题，做做头脑体操吧。
1. What is the maximum number of parts that can be obtained from cutting a circular cake using 3 straight cuts?
2. If x and y are positive integers, find the values of x and y which satisfy the equation x²+4y²= 41.
3. Find the dimensions of all the rectangles with integral sides whose area and perimeter are numerically equal.
4. A whole number is between 40 and 70. When it is divided by 3, the remainder is 1. When it is divided by 7, the remainder is 2. Find the number.
1. 用 3 条直线切割一个圆形蛋糕最多可以得到多少块？
2.如果x和y是正整数，求满足方程x²+4y²= 41的x和y的值。
3. 求面积和周长数值相等的所有边为整数的矩形的尺寸。
4. 一个整数在40到70之间。除以3，余数为1。除以7，余数为2。求该数。
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