小升初英文奥数题

1、1、2、3、4、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in2010?If half of a nu mber is 30, the n three-quarters of that nu mber is.The sum of the digits of the following product 999X 555Three p ositive in tegers have a sum of 28. The greatest po ssible p roduct that

2、theseby the remainder rema in der is .in tegers can have is.5、In what follows, and A are different numbers. When503 is divided is 503 is divided by A the rema in der is 493 is divided by x A thePlayed volleyball.6、A lady, her brother, her son and her daughter (all related by birth)The worst players

3、twin (who is one of the four players) and the best player are of opposite sex. The worst p layer and the best p layer are of the same age. Who cannot be the worst player(s)?C) son and daughter onlyD) lady and daughterA) brother only B) daughter onlyonly E) lady only7、If you continue the given number

4、 pattern, in what row and in what position in that row will the number 320 be?row 1row 2row 3row 48 9 10The an swers are give n in the order of row ; po siti 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/（）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*6

5、9,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 4,5,67,8,9,10 第4 行按照-行，列的形式给出答案：（25,20）参考答案：1、Wed

6、 nesday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* 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 为闰年于是加起来应该多 7天，即一个星期，所以还是星

7、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 x = 483,因此此题余数是 10. 625, 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 (base 2) two different digits a

8、re 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, 10?3=1,152?7=3, and then

9、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 for a hit and lost 6 for a m

10、iss. 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 s assume all the athletes run at a con sta nt sp eed

11、)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 balanee, as shown. How many differe nt weight objects can you weigh with these three? Remember the weights may be p laced on either side

12、参考答案：1、A考察我们学过的简单的进制问题，显然2、170找规律，公式为 nx( n-3 )- 24、40，16 和 247、28米，根据距1、& 420分解质因数8进制中没有8出现3、1定义新运算，就是求 379*6的余数。6、5离比求出速度比，三者的速度比为9、13 种小升初英文奥数题31: 9/10 : 18/25the decimal nu mbersystem (base 10) ten differe nt digits, 0 toused to write all the numbers. In the binary number system (base 2) two dif

13、ferent are used, . 0 and 1.1、Did you know? In9, aredigitsWhich 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 with twenty sides (icosagon) is3、 If a and b are int

14、egers, 10?andthen 379?6 is equal to4、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 is5、 The greatest number of Mondays which can occur in 45 consecutive days is6、Saul plays a video game in which he scores 4 for a hit and lo

15、st 6 for a miss. After20 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 const

16、ant 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 may be placed on eit

17、her 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 247、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 in decimetres per minute is.3、In a certain town

18、 some people were affected by a flu epidemic. In the firstmon th 20% of the pop ulation 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 popu lati on is healthy at the end of the sec ond mon th?4、

19、Mp ho, Barry, Sip ho, Erica and Fatima are sitt ing on a park is not sitt ing on thefar right. Barry is not sittingon the far is not sittingat either end. Erica is sittingto the right of Barry,but not n ecessarily n ext to him. Fatima is not sitt ing n ext to isnot sitti ng next to is sitt ing at th

20、e 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 p ack 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 alien Ianguage,

21、 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 classroom whe n one of them broke a win dow. The teacher asked

22、 each of them to make a stateme nt aboutthe 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 Edwinadid. ” Devine:

23、 Amelia or Edwina broke it. ” Edwina: Charles broke it. ” Who broke the win dow?reads the same forwards as backwards .number. What is the differeneebetween8、Did you know? A palindrome is a number which 35453. Next year 2002 is an example of a palindromic 2002 and the nu mber of the p revious p ali n

24、dromic 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 cmrecta ngle. What is the minimum dista nee, in cen timetres, any one mustcover before the

25、y meet aga in?参考答案:1、?单位换算，注意单词，90X 10+( 3X 60)=52、？464、？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.?Charles8、?1001?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 I=1，II=2，III=3

26、，IV=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%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Sip ho的旁边，Sipho不