SASMO競(jìng)賽七年級(jí)（初中一年級(jí)）樣題及答案

新加坡國(guó)際奧林匹克數(shù)學(xué)學(xué)術(shù)活動(dòng)?(SINGAPORE & ASIAN SCHOOLS MATH OLYMPIAD)，簡(jiǎn)稱?SASMO，創(chuàng)立于2006年，是新加坡國(guó)際數(shù)學(xué)學(xué)術(shù)活動(dòng)中心 SIMCC 主辦的其中一項(xiàng)國(guó)際數(shù)學(xué)學(xué)術(shù)活動(dòng)。

與傳統(tǒng)的奧數(shù)比賽相比，SASMO 團(tuán)隊(duì)在題目設(shè)計(jì)中投入了無(wú)數(shù)的時(shí)間和心血，使得參賽者在 SASMO 數(shù)學(xué)學(xué)術(shù)活動(dòng)中可以表現(xiàn)的更加出色——SASMO 學(xué)術(shù)活動(dòng)以現(xiàn)實(shí)和高標(biāo)準(zhǔn)的方式來(lái)拓展學(xué)生未被開(kāi)發(fā)的潛力，激發(fā)出其內(nèi)在的數(shù)學(xué)家思想以及更高階思維技巧(HOTS)。

今天這篇文章將會(huì)對(duì)于Grade 7的部分學(xué)術(shù)活動(dòng)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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