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]

    【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