SASMO竞赛8年级样题

新加坡国际奥林匹克数学学术活动 (SINGAPORE & ASIAN SCHOOLS MATH OLYMPIAD)，简称 SASMO，创立于2006年，是新加坡国际数学学术活动中心 SIMCC 主办的其中一项国际数学学术活动。

与传统的奥数比赛相比，SASMO 团队在题目设计中投入了无数的时间和心血，使得参赛者在 SASMO 数学学术活动中可以表现的更加出色——SASMO 学术活动以现实和高标准的方式来拓展学生未被开发的潜力，激发出其内在的数学家思想以及更高阶思维技巧(HOTS)。

今天这篇文章将会对于Grade 8的部分学术活动样题做部分展示：

1. What is the maximum number of parts that can be obtained from cutting acircular cake using 3 straight cuts?

2. Evaluate 2014 x 2014 - 2013 x 2015.

3.

4.

5. Simplify(x-a)(x-b)(x-c)...(x-z).

6. If x and y are positivein tegers,find the values of x and y which satisf y the equation

7. Find the dimensions of all the rectangles with integral sides whose area and perimeter are numerically equal.

8. 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.

9. Find the value of

10. Find the sum of the terms in the nth pair of brackets:(1, 2, 3, 4), (5, 6, 7, 8), (9, 10, 11, 12), ...