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元。

7. 5台挖土机每天工作8小时,4天可挖长40米、宽20米、深3米的一条沟,6台挖土机每天工作5小时,要挖长100米、宽15米、深3米的一条沟,需要_________ 天。

8. 五条同样长的线段拼成一个五角星(如右图),如果每条线段上恰有1994个点被染成红色,那么在这个五角星上红色点至少有_________ 个。

9.如果某整数同时具备如下三条性质:(1)这个数与1的差是质数;(2)这个数除以2所得的商也是质数;(3)这个数除以9的余数是5。我们称这个整数为幸运数,那么在两位数中,最大的幸运数是_________ 。

10.右图是边长为1的正方形和一个梯形拼成的"火炬"。梯形的上底长1.5米,A为上底的中点,B为下底的中点,线段AB恰好是梯形的高,长为0.5米,CD长为米。那么图中阴影部分的面积是_________ 平方米。

11.甲、乙两个小朋友各有一袋糖,每袋糖不到20粒,如果甲给乙一定数量的糖后,甲的糖就是乙的2倍,如果乙给甲同样数量的糖后,甲的糖就是乙的糖粒数的3倍,那么,甲、乙两个小朋友共有糖_________ 粒。

12.甲、乙两人分别从A、B两地同时出发,相向而行,出发时他们速度比是3:2,他们第一次相遇后,甲的速度提高了20%,乙的速度提高了30%,这样,当甲到达B地时,乙离A还有14千米,那么,A、B两地间的距离是_________ 千米。

预赛(A)卷

1.计算: =_________ 。

2.使算式 (□-) 成立,方框内应填的数是_________ 。

3.如图,横、竖各12个方格,每个方格都有一个数,已知横行上任意三个相邻数之和为20,竖列上任意三个相邻数之和为21。图中已填入3、5、8和x四个数,那么x代表的数是_________ 。
4.在右边残缺的算式中,只写出五个3,那么这个算式的商数是_________ 。

5.甲、乙、丙、丁四个同学排成一排,从左往右数,如果甲不排在第一个位置上,乙不排在第二个位置上,丙不排在第三个位置,丁不排在第四个位置上,那么不同的排法共有_________ 种。

6.李明到商店买一盒花球、一盒白球,两盒的数量相等,花球原价是1元钱2个,白球原价是1元钱3个。节日降价,两种球的售价都是2元钱5个,结果李明少花了4元钱,那么他共买了_________ 个球。

7.把100个人分成四队,一队人数是二队人数的倍,一队人数是三队人数的倍,那么四队有_________ 个人。

8.小明从家到学校有两条一样长的路,一条是平路,另一条是一半上坡路,一半下坡路,小明上学,从两条路走所用时间一样多。已知下坡的速度是平路的倍,那么上坡的速度是平路的_________ 倍。

9.如果某整数同时具备如下三条性质:(1)这个数与1的差是质数;(2)这个数除以2所得的商也是质数;(3)这个数除以9的余数是5。我们称这个整数为幸运数,那么在两位数中,最大的幸运数是_________ 。

10.在1,2,……,1994这1994个数中选出一些数,使得这些数中的每两个数的和都能被26整除,那么这样的数最多能选出_________ 个。

11.如图,由正方形和半圆形组成的图形。其中P点为半圆周的中点,Q为正方形一边的中点。那么阴影部分面积是_________ 。(圆周率π=3.14)
12.A、B两点把一个周长为1米的圆周等分成两部分(如图),蓝精灵从B点出发在这个圆周上沿逆时针方向作跳跃运动,它每跳一步的步长是米。如果它跳到A点,就会经过特别通道AB滑向B点,并从B点继续起跳。当它经过一次特别通道,圆的半径就扩大一倍。已知蓝精灵跳了1000次,那么跳完后圆周长等于_________ 米。

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