SASMO竞赛七年级（初中一年级）样题及答案

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 7的部分学术活动样题做展示：

1.

 

2. What is the maximum number of parts that can be obtained from cutting a circular disc using 3 straight cuts?

 

3. Find the next term of the following sequence: 2, 1, 3, 4, 7, …

 

4.

 

5. Divide the following shape into 4 identical parts.

 

6. A perfect number is a positive integer that is equal to the sum of its proper positive factors. Proper positive factors of a number are positive factors that are less than the number. For example, 6 = 1 + 2 + 3 is a perfect number because 1, 2 and 3 are the only proper positive factors of 6. Find the next perfect number.

 

7. If and are positive whole numbers such that < and ^b = ^a  , find a possible value for and for .

 

8.

 

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10. The diagram shows a triangle ABC where AB = AC, BC = AD and ∠BAC = 20°. Find ∠ADB.

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