SASMO競賽七年級（初中一年級）樣題及答案

新加坡國際奧林匹克數學學術活動?(SINGAPORE & ASIAN SCHOOLS MATH OLYMPIAD)，簡稱?SASMO，創立于2006年，是新加坡國際數學學術活動中心 SIMCC 主辦的其中一項國際數學學術活動。

與傳統的奧數比賽相比，SASMO 團隊在題目設計中投入了無數的時間和心血，使得參賽者在 SASMO 數學學術活動中可以表現的更加出色——SASMO 學術活動以現實和高標準的方式來拓展學生未被開發的潛力，激發出其內在的數學家思想以及更高階思維技巧(HOTS)。

今天這篇文章將會對于Grade 7的部分學術活動樣題做展示：

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.

 

9.

 

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

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