英文奥数

1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?

　　2、If half of a number is 30, then three-quarters of that number is____.

　　3、The sum of the digits of the following product 999×555

　　4、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.

　　5、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_____.

　　6、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and the best player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst player(s)?

　　A) brother only

　　B) daughter only

　　C) son and daughter only

　　D) lady and daughter only

　　E) lady only

　　7、If you continue the given number pattern, in what row and in whatposition in that row will the number 320 be?

　　1 -------------- row 1

　　2 3 -------------- row 2

　　4 5 6 -------------- row 3

　　7 8 9 10 -------------- row 4

　　The answers are given in the order of row ; position.

　　参考答案：

　　1、Wednesday

　　2、45

　　3、27（求数位上上的数字之和）

　　4、28=9+9+10，因此答案为810

　　5、503-20=483 483=3×7×23＝21×23，因此□ x Δ＝483，因此此题余数是10.

　　6、D

　　7、25，20
 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