# 【大连家教吧】英文版奥数试题B

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]