小升初英文奥数题

1、小升初英文奥数题一1、 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 999x 5554、Three positive integers have a sum of 28. The greatest possible product t

2、hat thesein tegers can have is.5、 In what follows, and are differe nt nu mbers. When503 is divided by the rema in der is 503 is divided by the rema in der is 493 is divided by x A the rema in der is.6、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst p

3、layers 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 worstplayer(s)?A) brother only B) daughter only C) son and daughter only D) lady and daughter only E) lady only7、If you continue the given

4、 number pattern, in what row and in what position in that rowwill the number 320 be?1 row 12 3 row 24 5 6 row 378 9 10row 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. 和代表不同数字，503/ 的余数是 20,503/ 的余数是20,那么493/( Ox )的余数是(10或493)这个题出得有点问题，503-20=483

5、=3*7*23, 假如OXA 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,列

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 Wed nesday. On what day of the week will 16 Ju ne fallin 2010?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 365十7=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 为闰年

7、于是加起来应该多 7天，即一个星期，所以还是星期三2、45 3 、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 7X 23= 21 X 23，因此口 x =483，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,are used to write all the numbers. In the binary number system (bas

8、e 2) two different digits are used, . 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 (icosagon) is.3、If a and b are integers,

9、 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 : 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 he scores 4 fo

10、r a hit and lost 6 for a miss. After20 rounds 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 20m behind B. How f ar in metres was C from A whenA finished?(Let sassume all the athletes r

11、un at a con sta nt speed)8、The areas of the faces of a rectangulabox are 84 cm2,70 cm2and 30 volume of the boxin cm3 is.9、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balanee, as shown. Howmany differe nt weight objects can you weigh with these three? Remember the weights maybe pl

12、aced 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、57、28米，根据距1、离比求出速度比，三者的速度比为1: 9/10 : 18/25& 420分解质因数9、13种小升初英文奥数题31、Did you know? Inthe decimal nu mber system (base 10) ten differe nt digits, 0 to9, areused to write all the number

13、s. In the binary number system (base 2) two differentdigitsare used, . 0 and 1.Which one of the following numbers is not a valid number in theoctal number 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 withtwenty sides (icosagon) is

14、.3、If a and b are integers, 10?andthen 379?6 is equal to.4、Two numbers are in the ratio 2 : 3. When4 is added to each number the ratio changes to 5 : sum of the two original numbers is.5、The greatest number of Mondays which can occur in 45 consecutivedays is6、Saul plays a video game in which he scor

15、es 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 m behind B. How far in metres was C from A when A finished?(Let s assume all the at

16、hletes run at a constant speed)8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 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

17、 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 246、57、 28米，根据距离比求出速度比，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41、An ant covers a distanee of 90 metres in 3 hours. The average speed of the ant indecimetres per mi nute i

18、s.2、3、In a eertain town some people were affected by a flu epidemic. In the firstmon th 20% of the population con tracted the flu whilst 80% were the followi ng month 20%of the sick people recovered and 20% of the healthy people con tracted the fracti on of the populati on is healthy at the end of t

19、he sec ond mon th?4、Mpho, Barry, Sipho, Erica and Fatima are sitting on a park is not sitting on thefar right. Barry is not sitting on the far 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 is not sitting next to is

20、 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 ran dom whilst pack ing for a holiday, what is the least nu mber he must remove from the drawer to be sure that he has three T?shirts of the same colour?6、 In an a

21、lien Ianguage, jalez borg farn means“good maths skills” . Nurf klar borgmeansmaths in harmony ” and darko klar farn means “good in gold ” .What is“harmonygold ” in this Ianguage?7、Five children, Amelia, Bongani, Charles, Devine and Edwina, were in the classroomwhe n one of them broke a win dow. The

22、teacher asked each of them to make a stateme nt 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 Ed

23、winadid. ” Devine: “Amelia or Edwina broke it. ” Edwina: “Charles broke it. ” Who broke the win dow?8、Did you know? A palindrome is a number which reads the same forwards as backwards .35453. Next year 2002 is an example of a palindromic number. What is the differeneebetween 2002 and the nu mber of

24、the previous pali ndromic year?9、If a ?b = (3 x b) then the value of 2?(2 x a) ?(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 dista nee, in cen timetres, any one

25、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、?4、?Erica5、?抽屉原则76、 ?注意一一对应，borg= maths, farn=good, jalez=skills. Klar=in, Nurf=harmony, darko=gold.答案是 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=50

26、0, M=1000,等，因此 1=1 ,11=2，III=3 ，IV=V=5, Vl=6，Vll=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%勺人是健康的；下一个月里，人中20%康复了，但原来的健康人中有20%勺人又感染了。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，Siphc 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