冲南外奥数中英版数学试卷-精品

在图表中有 7 个相同的圆，每个圆的面积是 10，求阴影部分的面积。
15. In a certain class consisting of 54 students, some boys and some girls,
4
3
exactly of the boys and exactly
of girls walk to school. What is the
7
5
greatest possible number of students in this class who walk to school?
Answer: ________
某个班级有 54 名学生，一些男孩和一些女孩，恰好男孩的 级中步行上学的学生最多是多少？
4 ，女孩的 3 步行上学，这个班
7
sum of every four consecutive numbers is divisible by 3?
Answer： 有多少种方法排列数字 21, 31, 41, 51, 61, 71 和 81，使得每四个连续数字的和能被
3 整除？
2
7. Given: ABCD is a trapezoid, AD∥ BC, AD:BC=1:2, S AOF : S DOE 1:3 , S BEF 24cm , Find
numbers within the rectangle is a multiple of 4?
Answer：
1234
56 78 9 10 11 12
13 14 15 16
在右边的图表中，有多少个长方形能使得长方形内的数字的和是 11． What is the sum of the digits of the following product 9999 Answer: ________ 9999 × 6666乘积各数位的和是多少？
is 7. What is the area of the shaded region?
让两个 8×12 的长方形一个角重叠 ,从一个长方形底部右角到
另一个长方形的右边交叉点的距离是
7,阴影部分的面积是多
12
少?
8
8
7
12
5. A spy had to send the 4-digit code abcd to headquarters. For security reasons, he
2
2
2
1. The areas of the faces of a cuboid are 84 cm , 70 cm and 30 cm . Find the volume of the
cuboid in cm 3.
Answer：
一个立方体的各个表面积是 84 平方厘米， 70 平方厘米和 30 厘米，这个立方体的体积是多
Answer: ________ 按下列数字的规则，数字 2009 将会有哪一排？
14． There are 7 identical circles in the figure and each area is 10. Find the area of shaded region. Answer: ________
用 2-8 填入右边图表中的七个空的圆圈中，每个数字只能使用一次，并且每个数字 要大于它左右相邻的两个数字或者小于左右相邻的两个数字，有多少种填法？
10. How many rectangles are there in the diagram on the right such that the sum of the
sent instead the 9 separate 4-digit codes shown. In each of the 9 codes, at least one of
the digits a, b, c, and d occurs in its correct position. What is the value of abcd ?
3
1
3
m
3
3
3
1 1
1 1
3
1
1
3
3
3
3
1，m+n 等于多少？
3. At a local village gala, the entire population turned up, 500 people. The event raised
Tickets were priced as follows:
4. Let two 8 × 12 rectangles share a common corner and overlap. The distance from the bottom
right corner of one rectangle to the intersection point along the right edge of that rectangle
少立方厘米？
2. The fraction
3
can be wrritten in the form
3
3
1
3
11
3
3
3
1
1
1
1333 Nhomakorabea3
common divisor of m and n is 1, Find m+n. Answer：
n where the greatest
m
分数
3
可以写成 n ，m 和 n 最大的共同的除数是
5
the area of AOF ． Answer：
A
D
8. 已 知 ABCD 是 一 个 梯 形 ， AD∥BC, AD:BC=1:2, S AOF : S DOE 1:3 , S BEF 24cm 2 , 求 AOF 的面积．
F
O
E
B
C
9. In how many different ways can the seven empty circles in the diagram on the right be filled in with the numbers 2 through 8 such that each number is used once, and each number is either greater than both its neighbors, or less than both its neighbors. Answer：
￡ 7.48 per man, ￡ 7.12 per woman and ￡ 0.45 per child. How
many children were there?
Answer： 在一个本地的盛会上，所有的人口
500 人，筹集了 3000 元，票价为：男人每人 7.48 元 ,女
人每人 7.12 元 ,儿童每人 0.45 元 ,有多少个儿童 ?
Answer：
一个间谍发送一个四位数的密码， abcd 给总部，由于安全原因，他发送了 9 个不同的
四位数密码 （如图） 来代替， 这 9 个密码中 , a,b,c,d,中至少有一个位置是正确的， abcd
的值是多少？
6. In how many ways can one arrange the numbers 21, 31, 41, 51, 61, 71 and 81 such that the
一个数字放在右边格子的空四边形中， 使得每一行包含 1, 2, 3, 4, 5 中的每一个数字，每一列也包含 1, 2, 3, 4, 5 中的每一个数字，在 格子底部右下角的正方形中填什么数字？
13． If you continue the given number pattern, in what row will the number 2009 be? 7 -------------- row 1 14 21 -------------- row 2 28 35 42 -------------- row 3 49 56 63 70 -------------- row 4
4 的倍数？ × 6666 ?
12． A digit is placed in each empty square in the grid to the right so that each row contains each of the digits 1, 2, 3, 4, 5 and each column contains each of the digits 1, 2, 3, 4, 5. What digit is placed in the square at the bottom right corner of the grid? Answer: ________