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 rectangle box 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(xué)過的簡單的進(jìn)制問題，顯然8進(jìn)制中沒有8出現(xiàn)

2、170 找規(guī)律，公式為n×（n-3）÷2

3、1 定義新運(yùn)算，就是求379÷6的余數(shù)。

4、40，16和24

5、7

6、5

7、28米，根據(jù)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(zhì)因數(shù)

9、13種