小升初英文奧數試題（2）

1、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.

Which one of the following numbers is not a valid number in the

octal number system (base 8)?

A) 128 B) 127 C) 126 D) 125 E) 124

2、The number of diagonals that can be drawn in a regular polygon with

twenty sides (icosagon) is_____.

3、If a and b are integers, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_____.

4、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.

5、The greatest number of Mondays which can occur in 45 consecutive

days is____

6、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.

7、Three girls A, B and C run in a 100 m race. When A finishes, B is 10 m

behind A and when B finishes C is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)

8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.

9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three?

[Remember the weights may be placed on either side]

參考答案：

1、A 考察我們學過的簡單的進制問題，顯然8進制中沒有8出現

2、170 找規律，公式為n×(n-3)÷2

3、1 定義新運算，就是求379÷6的余數。

4、40，16和24

5、7

6、5

7、28米，根據距離比求出速度比，三者的速度比為1：9/10：18/25

8、420 分解質因數

9、13種

以下是上地實驗（上地101）2009年小升初實驗班分班考試的相關內容，供您備戰上地101小升初分班考試參考！

　　上地101中學的新初一分班考試一般在軍訓結束后進行。分班考試時基本考語數英三科。

　　1、語文考一些常用字詞、語言運用（就是仿寫、表格歸納、寫廣告詞等）、閱讀（不是特別難），還寫了一篇作文（但是我們的題目是；令我難忘的一件事）

　　2、數學題量很少只有半張，但是題有些難，涉及簡便運算、方程、應用題、還有幾道有點像奧數的題。

　　3、英語個人認為很簡單。主要就是單選、寫句子、閱讀理解、單詞。題目不難，都是很常見的知識點。沒有寫作。