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2007中大附中入学测试题

2007中大附中入学测试题
2007中大附中入学测试题

2007年中山大学附属中学择校考试数学试卷

姓名: 成绩:

一、 填空题:(16分)。

1、一个数去掉百分号后是1.55,原数是这个数的 。

2、3个b 比一个数少10,这个数是 。

3、甲、乙两数的比是5:4,甲数是20,甲数比乙数多 。

4、练习本3元一本,小云买了5本,付了x 元,应找回 元。

5、一个圆的周长是18.84米,它的面积是 平方米。

6、12、30、24的最小公倍数是 。

7、根据统计图表回答问题。已知六年级有男生11人,女生90人,平均每人捐款 元,六(3)班比六(四)班多捐款 %。

二、 选择题:(12分)。 1、100克减少20%,再增加20%,得 。 A 、100 B 、96 C 、104 D 、98 2、将边长是1分米的正方形的四个角剪去边长是1厘米的正方形,所得图形的周长是 。

A 、增加4厘米

B 、减少4厘米

C 、与原来一样

3、把一根长9分米的长方形木料,平均据成三个小长方体,表面积增加了2.4 平方分米,这根木料的体积是 立方分米。

A 、3.6

B 、5.4

C 、7.2

D 、10.8

4、甲、乙两人行走某段路程的天数之比是5:4,乙、丙两人行走该段路程的天数之比为3:2,那么甲走15天的路程丙要走 天。

A 、6

B 、7

C 、8

D 、10

5、彩电按原价销售,每台获利60元;现在降价销售,结果彩电销售量增加一倍,获得的总利润增加了0.5倍,则每台彩电降价了 元。

A 、5

B 、10

C 、15

D 、20

6、一张边长为a 米的正方形纸,如果在这张纸上剪四个相等且最大的圆,那么这张纸的利用率是 。

A 、78.5%

B 、75%

C 、82%

D 、80%

三、 填空:(10分)。

1、 三个连续偶数的平均数为a-1,这三个偶数中最小的一个是 。

2、 新粤灯具厂一月份生产2680支光管,二月份比一月份少生产250支,三月份比一月份多生产730支。新粤灯具厂一季度平均每个月生产光管 支。

3、 把两个相同的正方体拼成一个长方体,这个长方体的棱长总和是48厘米,这个长方体的体积是 立方厘米。

4、 小冬今年的年龄加上25所得的和乘以8,再减去100,差是180,

则小冬今年 岁。

5、 如图为一个阶梯的纵截面,一只老鼠沿长方形的两边

A →

B →D

的路线逃跑,一只猫同时沿阶梯(折线)A →D 的路线去追,结

果在距离C 点0.6米的D 处,猫捉住老鼠。已知猫的速度是老

鼠的

38,则阶梯A →C 的长度为 。 四、 直接写出得数:(16分)。

6.4÷1.6=

52×1.5= 3.8-5

42= 32×0.125= 5×54÷5×54= 72×5+72×9= 4-85-83= 390×0.02= 五、 计算:(16分)。

48×0.2×(

103-51) 4318÷6+2471×6

(8.8-23.4×31)÷95 412÷[(65-31)×1.2+5

4]

六、 求出阴影部分面积:(6分)。

七、 应用题:(24分)。

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2、有一桶油,桶重占油重量的23

2,用了44千克油后,剩下油的重量是桶重的21,桶内原有油多少千克?

3、陈叔叔今年35岁,恰好是小玲年龄的7倍,多少年后,陈叔叔的年龄是小玲年龄的3倍?

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