通用版六年级下册数学期末试题-小升初冲刺班英数(含答案)

1、第一讲整除姓名 成绩本期主要数学术语英语的表述：the least common multiple 最小公倍数，the greatest common factor最大公因数，length 长 度，perimeter周长，product乘积,natural number自然数，be divided by被、除1. A=24, the least common multiple of A and B is 168, the greatest common factor of A and B is 4, B=?1.甲数是24,甲、乙两数的最小公倍数是 168,最大公因数是4,求乙数。2. The

2、greatest common factor of A and B is 6, the least common multiple of A and B is 36, the larger number isri t the multiple of the smaller number, A=? B=?2.已知甲、乙两数的最大公因数是 6,最小公倍数是36,并且大数不是小数的倍数， 求甲、乙两数各是多少？3. After snowing, Da Liang and his father measure the perimeter of a parterre together. They sta

3、rt at the same point and the same direction. The length of Da Liang's each step is 54cm, The length of Da Liang's father's each step is 72cm, their steps sometimes overlapping. After walking around the parterre once, the overlapping steps are 60. How long is the length of the parterre?3.

4、大雪后的一天，大亮和爸爸共同步测一个圆形花圃的周长，他俩的起点和走的方向完全相同，大亮每步长54厘米，爸爸平均步长72厘米，他们脚印有重合的时候， 走了一圈，只留下了 60个脚印，你知道圆形花坛的周长是多少厘米吗？4. Make up the numbers 26 33、34、35、63、85、91and 143 into several groups. To make sure the greatest common factor of any two numbers is 1, how many groups should be made up at least?4.把26、33、34、3

5、5、63、85、91和143分成若干组。要使每一组中任意两个数的 最大公因数为1,那么至少要分成几组？5. The greatest common factor of A and B is12, the least common multiple of A and B is 180, the larger number isri t the multiple of the smaller number, A=? B=?5.两个数最大公因数是12,最小公倍数是180,且大数不是小数的倍数，求这两个数。6. The length of a road is 96m, we plan to plant

6、 trees on both sides of the road. And we plan to plant trees every 4 m on the road. But we find that the distance is too close after we draw the signs. So we plant the trees every 6m on the road. How many signs needn't to be marked?6.在一条长96米的路两侧，计划每隔4米栽一棵树，画好“记号”后发现距离过近， 改为每隔6米栽一棵树，不要重新做的“记号”有多少

7、个？（两段无需做“记号”）7. The length of a rope is 180cm, we mark it from the beginning every 3cm and every 4cm. And then we cut it at the points that there are no marks. How many sections can we cut?7.有一根180厘米长的绳子，从一端开始每隔 3厘米做一个记号，每隔4厘米也做一 个记号，然后沿有记号的地方剪断。绳子共被剪成了多少段？8. A kindergarten borrows some books from a

8、 library. If the kindergarten borrows 35 books and the teacher divides the books equally to his children, there is 1 book lacked. If the kindergarten borrows 56 books and the teacher divides the books equally to his children, there are 2 booksspared. If the kindergarten borrows 69 books and the teac

9、her divides the books equally to his children, there are 3 books lacked. How many children at most are there in the class?8.某幼儿园借阅图书，如借35本，平均分给每个小朋友差1本；如借56本，平均分 给每个小朋友后还剩2本；如果借69本，平均分给每个小朋友则差3本。这个班的小 朋友最多有多少人？9. Put the numbers 14 33、35、30、39、75、143、169 into two groups, and make sure the product of

10、 each group equal. Can you try? Have a try.9.将14、33、35、30、39、75、143、169八个数平均分成两组，使这两组的乘积相等。你能做到吗，试试吧？10. 24' can be written in 24=2>3>4, but 18' can't. Please find the smallest natural number, multiply it by 18, then we can get a product which can be multiplied by three continuous

11、natural numbers.10. “24”能写成三个连续自然数的乘积（24= 2刈必），但是18却不行。请找一个 最小的自然数，使得用它乘18后，所得的积能写成三个连续自然数的乘积。11. A、B、C、D are not the same natural numbers, AB C D=1988, please find the maximal value of A+B+C+D.11.已知A、B、C、D是四个互不相同的自然数，且 ABC- D=1988,求A + B + C+ D的最大值。12. The greatest common factor of A and B is 42, t

12、he least common multiple of A and B is 2940, the sum of the two numbers is 714. A=? B=?12.两个数的最大公因数是42,最小公倍数是2940,且两个数的和是714,这两个数 各是多少？13. The sum of four natural numbers is 1111, what is the greatest common factor of the four numbers? (The greatest common factor of the four numbers must be the maxi

13、mum.)13.现有4个自然数，它们的和是1111,如果要求这4个数的最大公因数尽可能大, 那么这4个数的最大公因数最大可能是多少？14. When 119 is divided by 2, the arithmetical compliment is 1.When 119isdivided by 3, the arithmeticalcomplimentis 2.When 119isdivided by 4, the arithmeticalcomplimentis 3.When 119isdivided by 5, the arithmeticalcomplimentis 4.When 1

14、19isdivided by 6, the arithmeticalcomplimentis 5.How many numbers also have this property?14.数119很奇特：当被2除时，余数为1;当被3除时，余数为2;当被4除时，余 数为3;当被5除时，余数为4;当被6除时，余数为5。具有这种性质的三位数还有 多少个？1、28; 2、42 和 23; 3、21.6 米；4、3; 5、36 和 60; 6、一边做：33 个，两 边做：66 个；7、90 段；8、18 人； 9、第一组：14、39、75、143,第二组：35、30、39、143;10、28; 11、15

15、2; 12、420, 294;13、101;14、179,239, 299, .959第二讲奇偶性3姓名成绩本期主要数学术语英语的表述：odd number 奇数 even number 偶数 Three-digit 三位数 sum 和 row NF natural numbers 自然数 integer number 整数1. Is the sum of 1 + 2X 3 + 4X 5+6X 7+ 100 x 101 the odd number or the evennumber? Why?1. 1 + 2X3+4X 5+ 6X7+ 100X 101的和是奇数还是偶数？为什么？2. 5 c

16、ups whole cup up on the table, each of which two flip cup. After several flip can make 7 cups whole cup down?2. 5只杯子全部杯口朝上放在桌子上，每次翻转其中的2只杯子。能否经过若干次翻转，使得7只杯子全部杯口朝下？3. Change each digit of a three-digit number randomly, then get a new three-digit number, is the sum of the new three-digit number and th

17、e old three-digit number 999? Why?3.任意改变某三位数的各位数字的顺序后得到一个新的三位数，试问这个新三位数与原来的三位数的和能不能等于 999?为什么？4. There are 7 rows of chairs in a classroom and there are 7 desks in each row. After a week, each student must exchange his/her seat with the student who sits next to him/her. Can they exchange? Why?4.教室里有

18、7排椅子，每排7张，每张椅子上坐一个学生。一周后，每个学生都必须 和他相邻（前、后、左、右）的某一同学交换座位。问：能不能换成？为什么？5. Fill in a natural number in each 0( the natural number can be the same), to make the differences of any two adjacent numbers in O equal to the number marked as shown in Figure. Can you fill in? Why?5. 在右图的每个。中填入一个自然数（可以相同），使得任意两个

19、相邻的。中的数字 之差（大数减小数）恰好等于它们之间所标的数字。能否办到？为什么？6. There are 15 articles in a symposium. After compose type, the pages of these articles are 1, 2, 3, ，15. If we bind these articles in a volume according to one order and write the pages unified. How many pages are the odd number of each article?7. 一本论文集编入15

20、篇文章，这些文章排版后的页数分别是 1, 2, 3,，15页。如 果将这些文章按某种次序装订成册，并统一编上页码，那么每篇文章的第一面是奇数 页码的最多有几篇？8. There are some numbers in a line: 1 1, 2, 3, 5, 8, 13, 21, 34, 55,At the end of the 1000th of this series, how many even numbers are there in this series?9. 一审数排成一行：1,1,2,3,5,8,13,21, 34,55,到这用数的第1000个数为止，共有多少个偶数？10.

21、Teacher wrote on the blackboard three integers, then wipe off a switch left two numbers, so continue to operate it and eventually get 88,66,99. Q: Can the original is written in three integers 1,3,5?8.老师在黑板上写出三个整数，然后擦去一个换成所剩两数之和，这样继续操作下去, 最后得到88, 66, 99。问：原来写的三个整数能否是1, 3, 5?11. The 888 gifts distrib

22、uted to several children. Q: the gift of children assigned odd is odd or even?9.将888件礼品分给若干个小朋友。问：分到奇数件礼品的小朋友是奇数还是偶数?12. Below left is a plan view of a house, the figure represents the box room, each room has a door leading to any one of the neighboring room. Some people want to start from a room, t

23、urn not repeatedly traveled every room, his ideas can be realize d10.左下图是一套房子的平面图，图中的方格代表房间，每个房间都有通向任何一个 邻室的门。有人想从某个房间开始，依次不重复地走遍每一个房间，他的想法能实现 吗？13. Below left is 14 squares of the same size graphic. How can cut to 7 by the two adjacent squares rectangle s11.左下图是由14个大小相同的方格组成的图形。试问能不能剪裁成7个由相邻两方 格组成的

24、长方形？14. For the left table, each time to make any of these two minus or plus the same number, whether after several post (plus or minus the number of times can be different), into the lower right table ? Why ?3能否经过若干次后（各12.对于左下表，每次使其中的任意两个数减去或加上同一个数, 次减去或加上的数可以不同），变为右下表？为什么？715. In rooms A, B, C, D,

25、 E, F, G of seven lights were arranged in a row, each lamp installation of a switch. There are A, B, C, D which four lights on, and the remaining three did not light. Xiaohua from A to G pulling the switch, so pull 1999 times, which lights on ? Which no bright lights?13.房间里有A、B、C、D、E、F、G共7盏灯依次排成一排，每盏灯安装一个开关。 现在有A、B、C、D这4盏灯亮着，其余3盏没亮。小华从A到G拉动开关，这样拉 动1999次后，哪些灯还亮着？哪些灯没亮？16. There are large and small two boxes, where big box built 1001 white pawn and 1000 the same size of the black pawn, a small box containing a sufficient number of black chess pieces. Jen took out time