小升初英文奥数题

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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? TUESDAY

2、If half of a number is 30, then three-quarters of that number is_45___. 3、The sum of the digits of the following product 999×555 27 4、Three positive integers have a sum of 28. The greatest possible product that these integers can have is810_____.

5、In what follows, □ and Δ are different numbers.When 503 is divided by □ the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □ x Δ the remainder is_10____.

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)?THE LADY

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?25ROW 20POSITION

1 -------------- row 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: 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=3×7×23=21×23,因此□ x Δ=483,因此此题余数是10. 6、D 7、25,20

小升初英文奥数题(二) 1、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 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 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, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_1____. 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__240__.

5、The greatest number of Mondays which can occur in 45 consecutive days is_7___

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_5___.

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)28

8、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is420____.

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]13 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

一、填空题(每题5分,共25分)

1、1×2×3+3×4×5+5×6×7+7×8×9+9×10×11=__10680________ 2、思思和学学在探讨年龄问题:学学说,当你像我这么大时,我已经35岁了;思思说,当你像我这么大时,我才5岁。则思思15____岁。

3、10个人站一排照相,其中三个人是甲乙丙,则甲不在乙丙之间的拍照方式有_____种。

4、依次从1开始写自然数,一直写到2009,则这个多位数12345678910111213……20082009除以9的余数是3_____

5、车过河交渡费3元,马过河交渡费2元,人过河交渡费1元,某天过河的车和马的数目之比为2: 9,马和人的数目之比为3: 7,共收渡费315元,求这天过河的车、马和人的数目各是多少?14.63.147

二、填空题(每题7分,共35分) 1、在长方形ABCD内部有一点O,形成等腰△ABO的面积为16,等腰△DOC的面积占长方形面积的18%,那么阴影△AOC的面积是多少? 2、已知△ABC中,AB=AC=16, △ABC面积是64,P是BC上任意一点,P到AB,AC的距离分别是X、Y,那么X+Y=__8____

3、从1到999这999个自然数中有______个数的各位数字之和能被4整除。 4、如图乘法竖式中,"学而思杯"代表0 ~ 9中的一个数字,相同的汉字代表相同的数字,不同的汉字代表不同的数字,那么"学而思杯"分别代表的数字是_______

5、学学和思思结伴骑车去图书馆看书,第一天他们从学校直接去图书馆;第二天他们先去公园再去图书馆;第三天公园修路不能通行.则这三天从学校到图书馆的最短路线分别有_______种不同的走法。 三、填空题(每题10分,共40分)[/b]

1、10个不同非0自然数的和为1001,则这10个数的最大公约数的最大值_1____ 2、"学而思杯思而学"是一个七位回文数字,其中相同的汉字代表相同的数字,不同的汉字代表不同的数字.已知这个七位数第1位能被2整除,前2位组成的2位数能为3整除,前3位组成的3位数数能被4整除,…… ,前7位数组成的七位数能被8整除.那么"学而思杯思而学"=__4285824_____ .

3、如图,△ABC是等腰直角三角形,DEFG是正方形,线段AB与CD相交于K点.已知正方形DEFG的面积48,AK: KB=1: 3,则△BKD的面积是_________

4、甲、乙两队各出5名队员按事先排好的顺序出场参加象棋擂台赛,双方先由1号队员比赛,负者被淘汰,胜者再与负方2号队员比赛,……直至有一方队员全被淘汰为止,另一方获得胜利.各个队员的胜负排列便形成一种比赛过程.已知每次比赛都没有和局,问所有可能的比赛过程有多少种? 一、填空题(每题5分,共25分) 1、1770 2、15 3、2419200 4、3 5、14,63,147

二、填空题(每题7分,共35分) 1、3.5 2、8 3、248 4、3201 5、16,8,8

三、填空题(每题10分,共40分) 1、13 2、4285824 3、12 4、252