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小升初英文奧數(shù)試題一

來(lái)源:濟(jì)南奧數(shù)網(wǎng) 2011-01-17 18:25:20

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  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]

  參考答案:

  1、A 考察我們學(xué)過(guò)的簡(jiǎn)單的進(jìn)制問(wèn)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
 

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