小升初英语奥数测试试卷（二）

    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, 10?3=1,152?7=3, and then 379?6 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]

    参考答案：

    1、A 考察我们学过的简单的进制问题，显然8进制中没有8出现

    2、170 找规律，公式为n×（n-3）÷2

    3、1 定义新运算，就是求379÷6的余数。

    4、40，16和24

    5、7

    6、5

    7、28米，根据距离比求出速度比，三者的速度比为1：9/10：18/25

    8、420 分解质因数

    9、13种