小升初英文奥数题11.doc

小升初英文奥数题 1 1、I n 2004, 1 6 June falls on a Wednesday. On what day

of the week will 16 June fall in201 0?

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 999x 555

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

these integers can have is __________ .

5、I n what follows, □ and △are different numbers.When 503 is divided by □ the remainder is

20.When 503 is divided by △the remainder is 20.When 493 is divided by □ x A t he 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 ---------------------- r ow

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=3x 7x 23=21x 23, lilllta x A=483,因Uhl 七题余

数是10. 6、D 7、25, 20 2009小升初英文奥数题[2]

1、Did you know? I n the decimal number system (base 1 0) 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) 1 28

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, 1 0A3= 1,152A7= 3, and then 379A6 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 1 00 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nx (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1、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

I n 2004, 1 6 June falls on a Wednesday. On what day of the week w山16 June fall in 2010?翻2004年6月16号是星期三，那么2010年6月16号是星期儿呢？2004 年6月16号是星期三，那么2010年6月16号是星期几呢？还是星期三

平年365+7=52......1 闰年366-7=52......2 所以若第二年为平年，则那年的今天星期序号是现年今天后一天；闰年则后两天。2005, 2006, 2007, 2009, 2010 为平年,2008 为闰年于是加起来应该多7天，叩一个星期，所以还是星期三

前面几位仁兄方法是对的，但错在多加了一天。04年为闰年没错，但它多的一天在2月，而题目给出的是6月了，所以不应该再加那一天

回答者：ydxf回答时间：2009-04-09 21:34:28举报In 2004, 1 6 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?翻2004年6月16号是星期三，那么2010年6月16号是星期儿呢？

回答者:少女时光回答时间:2009-04-09 21:38:04举报今年小丽的年龄是她妈妈年龄的2/7, 5年后，小丽的年龄将是她妈蚂的3/8,今年小丽多少岁？Xiaoli this year is the age of her mother's age two seventhjive year s later, Xiaoli age will be her mother's three eight. Xiaoli how old this year?

回答者:hfm051回答时间:2009-04-09 21:40:32举报—?般每年的初一和初二希望杯数学竞赛初赛有2道用英语表述的数学题，一道选择题，一道填空题，你可以在网上找一下。另外为了提高阅读用英语写的数学文章，你可以找一些与初等数学有关的原版数学教材进行课外阅读。

2、Atl0:30,the angle less than 180°

Formet by hourhand and minute

Hand ofa normal clock is

(英汉词典：angle角;less than小于;tofrom形成；hour hand时针;

Minuti hand分针；normal正常，正规；clock钟，时钟)

上而是一道关于时钟问题的英文奥数题，猜猜是什么意思？

附参考答案：如果做过相关的时钟问题，借助于所给的解释可以理解到：求10： 30分时，时针与

分针所形成的小于180的夹角是多少？答案：135。。

3、 1 N Tn 2004, 16 June falls on a Wednesday. On what day of the week wi 11 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 999X555

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

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

A lady, her brother, her son and her daughter (al 1 related by birth) played volleybal 1. 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 --------------- r ow 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：

K 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、503-20二483 483=3X7X23=21 X23,因此□ x ^=483,因此此题余数是10.

6、I)

7、25, 20

4、1、Did you know? Tn 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=l,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 wel 1 as an equal arm balance, as shown. How many di fferent weight objects can you weigh wi th 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nX (n-3) 4-2

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

前两期英文奥数推出之后，家长和同学们都反映非常好，说受益匪浅，甚至有的学校还考到了原题。因此现在我们推出系列三。

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

2、

The Ancient Romans used the followms different numerals in thei

number system:

I = 1c= 100

V =■D= 500

X =10M二1000, etc.

L =50

I hey used these numerals to make up numbers as follows:

I = 1VI =6

II =2VII =7

ni =3vin

=8

IV =4IX =9

v ■x =10.

etc.

So. for example. XCIX is 99.

What is the value of XL\T?|

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 heal thy people contracted the disease. What fraction of

the popul ation is heal thy at the end of the second month?

4、Mpho, Barry, Si pho, 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 si tting at the far ri ght?

5^0f the 28 T?shirts in a drawer, six are red, five are blue, and the rest arewhite. 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、Tn an al ien 1 anguage, jal ez borg farn means “good maths skills” . Nurf kl ar borg means “maths in harmony" and darko klar farn means “good in gold” . What is “harmony gold" in this language?

7、

Five chi 1dren, classroom when one of Amelia, Bongani, Charles, Devine and Edwina, were in the them broke a window. The

teacher asked each of them to make

a statement about the

tell the truth. Their event, knowing that three of them always lie and two always statements were as follows:Amelia: "Charles did not break

it, nor did Devine. " Bongani: "I didn' t break it, nor did Devine. ” dicin' t break it, but

Edwina did. ” Devine : "Amelia or Edwina broke "Charles broke it. ” Who broke the window?

Charles: “I

i t. " Edwi na:

8、

Did you know? backwards e. g. 35453. is the difference between 2002 and the number of the previous palindromic year?

A palindrome is a number which reads the same Next year 2002 is an example of a palindromic forwards as number. What

9^ If a ?b = (3Xb) then the value of 2+(2Xa)十(3 ?5) 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 cmrectangle. What is the minimum distance, in centimetres, any one mustcover before they meet again?

参考答案：

1、 单位换算，注意单词，90X104- (3X60) =5

2、 46

3、 0.68

4、 Erica

5、 抽屉原则7

6、 注意一一对应，borg= maths, farn 二good, jalez 二ski 11 s. Klar=in, Nurf 二harmony, darko=gold.答案是 Nurf darko.

7^ Charles

8、 1001

9、 67

10、 108 第一题:蚂蚁3小时走90米,问平均每分钟走多少厘米？ 第二题:古罗马的数字表示方式:I=1, V=5, X=10, L=50, C=100, D=500, M=1000,等，因此 1=1, 11=2, 111=3, IV=4, V=5, VI=6, VII=7, VIII=8, IX=9, X=10,等。 例如：XCIX=99,问XLVI 表示的数值是多少？

第三题：一个城镇受到流感病毒侵袭，第一个月里总人口 的20%感染了病毒，其它80%的人是健康的；下一个月里, 病人中20%康复了，但原来的健康人中石20%的人乂感染 了。问第二个月底健康的人口占总人口的百分数是多少？ 第四题:Mpho, Barry, Sipho, Erica 和Fatima 坐在公园的长 凳上，Mpho 不在最右边，Barry 不在最左边，Sipho 不在 两端，Erica 在Barry 的右边，但不一定紧靠

他，Fatima没咨在Sipho的旁边,Sipho不在Barry旁边。问：谁坐在最右边？

第五题：抽屉中的28件T-shirts中，6件是红色的，5件是蓝色的，其它的是白色的。如果Bob随机选择T-shirts 在假期穿，为确保他有三件相同颜色的T-shirts,他至少要从抽屉中拿出多少件T-shirt?

5、

1.The sum of the digits of the following product 999x555

2.Three positive integers have a sum of 28. The greatest possible product that these integers can have is.

3.1n what follows, □ and △are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by △the remainder is 20.When 493 is divided by □ x A the remainder is.

4.6、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst playefs twin (who is one of the four players) and the best player arc of opposite scx.Tlic worst player and the best player arc of the same agc.Who cannot be the worst playcr(s)?

A)brother only

B)daughter only

C)son and daughter only

D)lady and daughter only

E)lady only

5、If you continue the given number pattern, in what row and in whatposition in that row will the number 32() be?

-------------- r ow 1

2 3 ................... row 2

4 5 6 ........ .......... row 3

789 10 ---------------- row 4

Tlic answers arc given in the order of row ; position.

我来试翻-下，请指正

1.999x555的各位数字之和是（27）

999和任意数相乘的结果，各位数字之和都为27

2.三个正整数之和为28,他们积的最大值是⑻0）

9*9*10=810

3.□和△代表不同数字,503/□的余数是20,503/△的余数是20,那么493/（nxA）的余数是（10或493）

这个题出得有点问题，

503-20=483=3*7*23,假如□?△>493,例如21*69,则余数为493

不然为10

4.一位女士,她兄弟，她的儿子和女儿（都是亲的）打排球.最差球手的率生同胞和最佳球手异性,最差球手和最佳球手同龄,谁不可能是最差球手（之一）？

A.Jlff兄弟

B.只有女儿

C.只有儿子和女儿

D.只有女士和女儿

E.只有女士

也就是说最差球手和最佳球手同性且同龄，最差球手是双胞胎之一

这样只有一种可能:儿子是最差，女士的弟弟与儿子同龄是最佳

备选答案中似乎没合适的

5.如过继续下面的数字列表,320在第儿行,以及该行的什么位置（也就是第儿列）

1 (1)

2,3 (2)

4,5,6 ................ 第3 行

7,8,9,10............ 第4 行

按照”行冽”的形式给出答案:(25,20)

小升初英文奥数题

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

2、

The Ancient Romans used the following different numerals in thei J number svstem:

I =1 C =100

V = D =500

X =10M = 1000, etc.

L =50

Fhey used these numerals to make up numbers as follows:

I =1VI =6

n =VII =7

ni =3VIII =8

rv =4IX =9

v 一X =10.

etc.

So. for example. XCIX is 99.

What is the value of XLVI?|

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 si tting 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 arewhite.

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?

9、 If a ?b = (2Xa)?(3Xb) then the value of 2 ?(3 ?5) 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 cmrectangle.

What is the minimum distance, in centimetres, any one mustcover before they meet again?

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 chi ldren, 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. n 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: u 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?

参考答案：

1、 单位换算，注意单词，90X104- (3X60) =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, dark 。

二gold.答案是 Nurf darko.

7、 Charles

8、 1001

9、

67

10、108

6、Teams X and Y work separately on two different projects.

On sunny days, team X can complete the work in 12 days

while team Y needs 15 days.

On rainy days, team X's efficiency decreases by 50%

while team Y's efficiency decreases by 25%.

Given that the two teams started and ended the projects at the same time, how many rainy days are there?

设：晴天x天，雨天y天，两人总工程量分别为A, Bo

1 /1

2 Ax+1 /12 A*（ 1 -50%）y=A

l/15Bx+l/15B*（l-25%）y=B

x=6,y= 12

7、The digits 1, 2, 3,4 and 9 are each used once to form the greatest possible even five-digit number. What is the digit in the tens place?

这道题中文意思是：1、2、3、4、9五个数，每个数只用一次，组成一个最大的五位偶数，那么其十位数字是什么？

8^ There are five balls with different weights.Everyball is less than（少于）100g。Now weigh （称）every two balls, and you will get

113,116,110,117,118,114,112,121,120,and115g .What is the weight of the heaviest （最重的）ball?

5个球总重量为289g（10组重量相加除4）最重球重量=总重量.两球重最小的两组

= 289-110-112= 67g

9^ Six trees are equally spaced along one side of a straight road.

The distance from the first tree to the fourth is 60 feet . What is

the distance in feet between the first and last trees?

At the end of 2005 Walter was half as old as his grandmother. The sum of the years in which they were born is 3860 . How old will Walter be at the end of 2006?

The di gits 1,2, 3,4 and 9 are each used once to form the greatest possible even five-digit number. What is the digit in the tens place?

10> Xiao Ming bought 4 pencils ? Each cost X yuan. He paid 2. 5yuan and got 0. I back. How

much did each pencil cost?

小明买了4支铅笔，每支X元。他付了 2. 5元，找回0.1元。问每支铅笔多少钱？

2. 5-0. 1=2. 4元是小明买铅笔一共花费的钱

买了4支，用总共花费的2. 4元除以4,就等于每支的价钱，即：2. 4/4=0. 6元

所以每支铅笔0.6元。

? 10> There are40 chikens on farm. The hens are 8 more than the cocks. How many hens? The h ens are? The cocks are.

农场有40只鸡，母鸡比公鸡多8只，试问母鸡公鸡各儿只？

40-8=32, 32-2=16(H) 16+8=24 (只)所以母鸡24 只,公鸡16 只。The hens are 24.The cocks are

16.

11、Jack is twice as old as Bill,who is eight yeaars younger than Ben,who is four years younger

than "fed,who is half as old gain as Jack.

how old is bill?

要写出每个人几岁

是B的2倍.B比BEN小8,BEN比T小4,T是J的1.5倍.

B6

J 12

BEN 14

T 18

12> Al and bill live at apposite ends of the same street.Al had to deliver a parcel at bill's home,Bill one

at Al's home.they started at the same moment,each walked at constant speed and returned home immediately after leaving the parcel at its destination.they met the first time at the distance of a yard from Al's home and the second time at the distance of b yards from Bill's home.

(Dhow long is the street?

(2)if a=300 and b=400,who walk faster?

艾尔和比尔住在同一条街的两端，艾尔要送一个包裹到比尔家里，比尔则送另一个包裹到艾尔家里，他俩同时以各自恒定速度出发，把包裹送到对方家中后即时返mi,他们第一次相遇地点距离艾尔家A码,第二次和遇地点距离比尔家里B码。

1)这条街有多远

2)如果a=300, "400,谁步行速度较快？

13^ In what follows, □ and △ are different numbers.

When 503 is divided by □ the remainder is 20.

When 503 is divided by A the remainder is 20.

When 493 is divided by □ x A the remainder is.

在什么情况如下，口和△是不同的号码。

当503除以口，余数是20 o

当503除以△,余数是20。

当493除以口x △余数是。

503-20=483 483=3*7*23因为余数必须小于除数，所以一个数是21, 一个是23

21*23=483, 493/483=1......10 余数是10

14、Twelve friends met for dinner at Oscar's Overstuffer House,and each ordered one

meal.The portions were so large,there was enough food for 18 people.If they share,how many meals should they have just enough food for 12 of them?

12个朋友在Oscar's Overstuffer饭馆聚餐。他们每人都点了一份饭菜。但是，点的饭菜是分量太大，足够18个人吃了。如果他们分餐的话，那么他们应该买多少份饭菜就够他们12个人吃的呢？

12个人买了18个人的饭菜，那么每份饭菜够1.5个人吃的。要够12个人吃的，那么买8份就够了。

15、Take a look at the three stacks of numbered blocks on the right.can you rearrange the blocks by exchanging one (and only one)from each

of the three stacks so that the sum of the numbers in each of the three stacks is the same?

看右边三堆编了号的方块。你能通过交换每堆中的一个（仅一个）方块来把他们重新组成拥有同样数n （就是说那些编的数字的。每堆的数字的“总数"相同，就是求和啦!）方块的三堆吗？16、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?

有五个孩子，A, B, C, D, E （名字的首字母），其中的1个打破了窗玻璃。老师单独询问了他们，他们都发表了意见，其中3个说谎，2个说了实话，如E

A：不是C干的，也不是D B：我没干，也不是D干的C：我没干，是E干的

D：不是A干的就是E干的

E：是C干的到底是谁干的？

回答：是C干的

17、Barking dogs do not bite（吠犬不咬人）

The best fish swims near the bottom（好鱼居深渊）

To kill two birds with one stone（—石二鸟）

When the cat is away,the mice will play（ili中无老虎,猴子称大王）

18^ Chicken cages and the rabbits, a total of 40 head, legs 132 and asked a few chickens and rabbits have?

The best fish swims near the bottom

To kill two birds with one stone

When the cat is away,the mice will play

1. Find all prime numbers that less than 100 and greater than 4

2. Class 1 and Class 2's students will go on a trip to the science museum.But they only have 1 bus .So they decide that Class 1 's student go there by bus first ,and then ,they get off the bus.The bus turn around to pick Class 2's students up.Class Ts students go there on foot while the Class 2's students go there by bus. The speed of the bus is 60km/h,the speed of the Class 1's students is 4km/h,and the Class 2's students is 3km/h.How to make them arrive at the science museum at the same time?（上下车时间不计）

第二道是90年代的一道全国奥数决赛试题，努力吧

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

1 ................ row 1

2 3 --------------- row 2

4 5 6.................... r ow 3

7 8 9 10 ---------------- row 4

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

第n排有n个数，且个相邻排数的个数构成等差数列，则前n排共有(n+1) *n/2个数，令(n+1) *n/2=320求出n,得24点多，意味着320在25排里，二(n+1) *n/2中n取24

时等于300,即24排最后个数是300,而25排最后为300+25>320,则320在25排第20 个数

row 25

position 20

20、Each letter represents a figure in the following equality.Plerse judge what these six figures a b c x y z is equal?

方程是：7*ABCXYZ=6*XYZABC

翻译：

在下面的方程中，每个字母代表一个数字，

请求出这六个数字的积是什么？

解:设abc为x,则xyz为y.

7*(1000*x+y)=6*(1000*y+x)

7000x+7y=6000y+6x

6994x=5993y

538x=461y

538=y 461 =x

abcxyz=461538

21、l.the length of the perimeter of a right triangle is 60 inches and the length of the altitude perpendicular to the hypotenuse is 12 inches.find the sides of the triangle.

2.Bob has 10 pockets and 44 silver dollars.he wants to put the dollars into the pockets so distributed that each picket contains a different number of dollars.can he do so?

1.一个直角三角形的周长是60英寸，斜边的高线是12英寸，求三角形两边长。

2.鲍勃有10个口袋，44个银元，他想把这些银元放到这10个口袋中，那么怎么分布才能使每个口袋包含不同数量的银元，他能做到吗？

22、Town A and Town B are connected by a highway,with a service station at the midpoint.Mike and Sam start from A to B at the same time.When Mike reaches the service station,Sam is 16km behind.Mike reduces speed by 25 percent(0.25) after he passes through thr service station.When Sam reaches the service station,Mike is 15km ahead of Sam.What's the distance between A and B?

设Mike的速度为x, Sam的速度为y, Mike到达服务区所用的时间为t,贝史|得(1)tx-16=ty (2) (l-0.25)x/y=15/16,整理(2)得x=(5/4)y,代入(1)得t*(5/4)y-16=ty,得出ty=64km, 所以tx=80km,即一*半的路程为8()km,所以总路程为16()km.

23 、

6、The perimeter《周长）of a triangle is 2007 cm . The longest side is 330 cm longer than the middle . which is 330 cm

longer than the shortest side . How long is the shortest side?

7.You have a lot of 1cm3 volume cubes . Build a column （柱体〉witha3cmX

3cm ba^c （底而）How tall is the column if its surface area（表面积）is 318

平方BI米？

8.If you read a two-digit number （两位敷）backwords. you get a L2 times （倍）greater number ? Find this number

please.

9、In four years Xiao Gang's age plus Xiao Lan's age will be 31 . Five years ago . Xiao Gang was 7 years old . How old is Xiao

Lan now?

10、Using all of the digits 1 .2 3 .4 同id 5 only once for each number . you can make 120 different numbers r If you put

these numbers in an increasing order （升序），what number is the 50th?

24、There are 10students playing games.

Now they must stand in fine rows,and each row must have four students.

Please draw the picture about it.

有10个学生玩游戏

现在他们必须站5排，而且每排必须有4个学生

清画出图来

顺便答案我也知道了是一个五角星

25> Did you know?A palindrome is a number which reads the same forwards as backwards

e.g.35453.Next year 2002 is an exampie of a palindromic number, what is the difference between2002 and the number of the previous palindromic year?

你知道吗，回文数字是从前往后和从后往前读起来一样的数字，比如35453,明年2002也是这样的同文数字。题目是2002年和上一个回文数年差多少

上一个回文数年是1991