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2012年走美杯四年级初赛真题及答案

2012年走美杯四年级初赛真题及答案
2012年走美杯四年级初赛真题及答案

2012年第十届走美杯四年级试题

一、填空题Ⅰ(每题8分,共40分)

1.2012+2011+2010+......+1007-1006-1005-1004- (1)

__________。

2.某年7月恰有4个星期一和四个星期四,这月的15号是星期________。

3.从正整数1~N中去掉一个数,剩下的N~1个数的平均值是16.3;去掉的数是_______。

4.葛大财主请园艺师为其整修花园,要求一个月完成,3月1日开始31日结束,每天的工钱为一钱黄金。葛大财主是出了名的守财奴,园艺师要求每天结束时结算工钱,葛大财主恰有一块31钱的金条。聪明绝顶的葛大财主只做了______次(填最少次数)切割,就解决了这个问题。

5.在台球“斯诺克”比赛中,有红球15个,黄、绿、棕、蓝、粉、黑球各一个,其中红球落袋积1分,黄、绿、棕、蓝、粉、黑球落袋分别积2、3、4、5、

6、7分。比赛中,第一阶段先要将15个红球全击落袋,而每击落1个红球

后必须再击落1个其他颜色的球,红球落袋不拿回,而其它颜色球在此阶段被击落袋后再放回台面;第二阶段要按黄、绿、棕、蓝、粉、黑的顺序依次将这些球击落袋。那么,“斯诺克”比赛中最高能得______分。

二、填空题Ⅱ(每题10分,共50分)

6.小华需要构造一个3×3的乘积魔方,使得每行、每列、每条对角线上三个正整数的乘积都相等;现在他已经填入了2,3,6三个数,那当小华的乘积魔方构造完毕后,x等于______。

7.十进制下的三位数TWO和四位数FOUR满足:TWO+TWO=FOUR,其中不同的字母代表不同的数字,FOUR的最小可能的值是______。

8.今年,丹丹和父亲、母亲和弟弟的年龄和是120岁。当父亲的年龄是丹丹年龄的3倍时,母亲的年龄恰好也是弟弟年龄的3倍,当时弟弟12岁。那么丹丹今年______岁。

9.玉米炮有单筒玉米炮、双筒玉米炮、三筒玉米炮三种。单筒玉米炮每次发射1根玉米,可以消灭20个僵尸;双筒玉米炮每次发射2根玉米,每根玉米消灭17个僵尸,三筒玉米炮每次发射3根玉米,每根消灭16个僵尸。玉米炮一共开炮10次,发射23根玉米,消灭______个僵尸。

10.有五个互不相等的非零自然数。如果其中一个减少45,另外四个数都变成原先的2倍,那么得到的仍然是这五个数。这五个数的总和是______。11.如图,大正六边形的面积是24平方厘米,其中放了三个一样的小正六边形。

阴影面积是_____平方厘米。

12.甲、乙、丙三人同时同向骑车,各自的速度都保持不变,乙在甲、丙的正中间。甲20分钟追上乙,又过10分钟追上丙。再过______分钟乙追上丙。三、填空题Ⅲ(每题12分,共60分

13.六位数2□012□个为上填_______时,万位上无论填入0~9中哪一个数,都不能被11整除。

14.1个4×4的棋盘,在每个小方格上染上黑白两色之一,染法与国际象棋盘的染法相同。允许任意选择一个矩形(矩形的边都在格子上),被选中的矩形中的内个小正方格改变颜色(黑变白,白变黑)。至少需要______次上述操作,才能使棋盘上的格子都同色。

15.将一个5×5×5的正方体分割成若干个3×3×3,2×2×2和1×1×1的小正方体。1×1×1的小正方体最少有________个。

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