英语奥数题

1、An ant covers a distance of 90 metres in 3 hours. The average speed of the ant in decimetres per minute is____.

2、

   

3、In a certain town some people were affected by a ’flu’ epidemic. In the first month 20% of the population contracted the flu whilst 80% were healthy.
In the following month 20% of the sick people recovered and 20% of the healthy people contracted the disease.
What fraction of the population is healthy at the end of the second month?

4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench.
Mpho is not sitting on the far right. Barry is not sitting on the far left.
Sipho is not sitting at either end. Erica is sitting to the right of Barry,

but not necessarily next to him. Fatima is not sitting next to Sipho.
Sipho is not sitting next to Barry.
Who is sitting at the far right?

5、Of the 28 T–shirts in a drawer, six are red, five are blue, and the rest are white. If Bob selects T–shirts at random whilst packing for a holiday, what is the least number he must remove from the drawer to be sure that he has three T–shirts of the same colour?

6、In an alien language, jalez borg farn means “good maths skills”. Nurf klar borg means “maths in harmony” and darko klar farn means “good in gold”.
What is “harmony gold” in this language?

7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in the
classroom when one of them broke a window. The teacher asked each of them to make a statement about the event, knowing that three of them always lie and two always tell the truth. Their statements were as follows:
Amelia: “Charles did not break it, nor did Devine.”
Bongani: “I didn’t break it, nor did Devine.”
Charles: “I didn’t break it, but Edwina did.”
Devine: “Amelia or Edwina broke it.”
Edwina: “Charles broke it.”
Who broke the window?

8、Did you know? A palindrome is a number which reads the same forwards as backwards e.g. 35453. Next year 2002 is an example of a palindromic number. What is the difference between 2002 and the number of the previous palindromic year?

9、If a Åb = (3×b) then the value of 2+(2×a) Å(3 Å5) is____.

10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square whilst the other walks around a 6 cm by 3 cm
rectangle. What is the minimum distance, in centimetres, any one must
cover before they meet again?

参考答案：
1、
单位换算，注意单词，90×10÷（3×60）＝5
2、 46
3、 0.68
4、 Erica
5、
抽屉原则 7
6、
注意一一对应，borg= maths,farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold. 答案是Nurf darko.
7、 Charles
8、 1001
9、 67
10、 108

　1、Did you know? In the decimalnumber system (base 10) ten different digits, 0 to 9, are used to write all thenumbers. 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 numberin the
octal number system (base 8)?
A) 128 B) 127 C) 126 D) 125 E)124
　　2、The number of diagonals thatcan 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 thetwo original numbers is____.
　　5、The greatest number of Mondayswhich can occur in 45 consecutive
days is____
　　6、Saul plays a video game inwhich he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is30. The number of times he has missed is____.
　　7、Three girls A, B and C run in a100 m race. When Afinishes, B is 10 m
behind A and when B finishes C is 20 mbehind B. How far in metres was C from A when A finished?(Let’s assume all theathletes run at a constant speed)
　　8、The areas of the faces of arectangulabox are 84 cm2, 70 cm2and 30 cm2.The volume of the box incm3  is____.
　　9、You have 3 weights: 1 kg, 3 kg and 9 kgas well as an equal arm balance, as shown. How many different weight objectscan 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