小升初英文奥数题

1、小升初英文奥数题1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fallin 2010?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 999555x4、Three positive integers have a sum of 28. The greatest possible product tha

2、t thesein tegers can have is. the5、In what follows, and are differe nt nu mbeWZhe n 503 is divided by the rema in deris 20.When 503 is divided by the remai nder is 20.When 493 is divided by xrema in der is.6、A lady, her brother, her son and her daughter (all related by birth) played volleyball.The w

3、orst 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 onlyB) daughter onlyC) son and daughter onlyD) lady anddaughter onlyE) lady only7、If you continue th

4、e given number pattern, in what row and in what position in that rowwill the number 320 be?1row 12 3row 24 5 6row 37 8 910row 4The an swers are give n in the order of row ; positi on.翻译：4. 三个正整数之和为28,他们积的最大值是(810)9*9*10=8105. 序口代表不同数字，503/的余数是20,503/的余数是20,那么493/( )的余数是(10或493)这个题出得有点问题，503-20=483=3

5、*7*23,假如493,例如21*69,则余数为493，不然为106. 一位女士，她兄弟，她的儿子和女儿(都是亲的)打排球.最差球手的孪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.只有兄弟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6.如过继续下面的数字列表,320在第几行，以及该行的什么位置(也就是第几列)1第 1 行 2,3第 2 行 4,5,6第3 行 7,8,9,10第4 行按照”行洌"

6、的形式给岀答案:(25,20)参考答案：1、Wedn esday详解：In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010? 翻2004年6月16号是星期三，那么 2010年6月16号是星期几呢？ 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=521闰年 366- 7=522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

7、 为闰年于是加起来应该多 7天，即一个星期，所以还是星期三2、453、27 (求数位上上的数字之和)4、28=9+9+10 ，因此答案为 8105、503-20=483 483=3 X 7 X23 = 21 X23，因此口 x =心83，因此此题余数是 10.6、D 7、25 , 20小升初英文奥数题21、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, areused to write all the nu mbers .In the binary nu mber system

8、 (base 2) two differe nt digitsare used, i.e. 0 and 1.Which one of the follow ing nu mbers is not a valid nu mber in theoctal nu mber system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a regular polygon with twenty sides(icosago n) is.3、If a and b are in

9、tegers, 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 changesto 5 : 7.The sum of the two origi nal nu mbers is.5、The greatest nu mber of Mon days which can occur in 45 con secutive days is6、Saul plays a video game in which h

10、e scores 4 for a hit and lost 6 for a miss. After 20rounds his score is 30. The nu mber 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 andwhen B finishes C is 20 m behindB. How far in metres was C from A when A finished?(Let' sassume

11、all the athletes run at a con sta nt speed)8、The areas of the faces of a rectangulabox are 84 cm2,70 cm2and 30 cm2.The volumeof the box in cm3 is.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balanee, as shown.How many differe nt weight objects can you weigh with these three? Rem

12、ember theweights 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 X (n-3 )+23、1定义新运算，就是求 379 -6的余数。4、40 , 16 和 245、76、57、 28米，根据距1、离比求出速度比，三者的速度比为1 : 9/10 : 18/258、 420分解质因数9、13种小升初英文奥数题31、Did you know? In the decimal n umber system (base 10) ten differe nt digits, 0 to

13、9, are usedto write all the n umbers .In the binary n umber system (base 2) two differe nt digits are used,i. e. 0 and 1.Which one of the follow ing n umbers is not a valid n umber in theoctal n umber system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1242、The number of diagonals that can be drawn in a

14、regular polygon withtwenty sides (icosagon) is.3、If a and b are integers,10 and then 3796 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 consecut

15、ivedays is6、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 mbehind A and when B finishes C is 20 mbehind B. Howfar in metres was

16、 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 wei

17、ght 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 )+23、 1定义新运算，就是求 379+6的余数。4、40， 16和 245 、 76 、 58、420分解质因数9、13 种小升初英文奥数题41、An ant covers a distanee of 90 metres in 3 hours. The average speed of th

18、e ant in decimetresper min ute is2、3、In a eertain town some people were affected by a' flu ' epidemic. In the first month 20%of the populationcontractedthe flu whilst 80% were healthy.lnthe following month 20%of the sickpeople recovered and 20%of the healthy people contracted the disease.Wha

19、t fraction of the population is healthy at the end of the sec ond mon th?4、 Mpho, Barry, Sipho, Erica and Fatima are sitting ona park bench.Mpho is notsitting on thefar 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 nece

20、ssarily next to him. Fatima is not sitting next to Sipho.Siphois 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 Bobselects T?shirts at ran dom whilst pack ing for a holiday, what is the least n umber h

21、e 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,

22、 Amelia, Bongani, Charles, Devine and Edwina, were in the classroom when oneof them broke a wi ndow. The teacher asked each of them to make a stateme nt about the eve nt, knowing that three of them always lie and two always tell the truth. Their statements were as follows:Amelia:“Charles did not bre

23、ak 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 backwar

24、ds e.g. 35453.Next year 2002 is an example of a pali ndromic n umber. What is the differe nee betwee n 2002 and then umber of the previous pali ndromic year?9、If a b = (3 x b) then the value of 2(2 x a) (35) is.10、Two ants start at point A and walk at the same pace. One ant walks around a 3 cm by 3

25、cm square whilst the other walks around a 6 cm by 3 cmrectangle. What is the minimum distanee, incen timetres, any one mustcover before they meet aga in?参考答案：1、 ？单位换算，注意单词，90X 10+( 3X 60)=52、?463 、 ？0.684、 ？Erica5、？抽屉原则 76 、 ？ 注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko

26、=gold.案是 Nurf darko.7、 ？Charles8、？10019、？6710、？108 详解：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：1=1，V=5，X=10, L=50，C=100，D=500，M=1000，等，因此 1=1，11=2，III=3，IV=4，V=5，VI=6，Vll=7，Vlll=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，但原来的健康人中有20%的人又感染了。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?没有在 Sipho的旁边，Sipho不在Barry旁边。问：