1. Calculation: 20022003× 20032002-20022002× 20032003 =.
2. Cut a piece of paper into 6 pieces, and take out several pieces from the obtained paper, and cut each piece into 6 pieces; Then take out some pieces of paper from all the pieces of paper, and cut each piece of paper into 6 pieces ... and so on, and stop cutting once. The total number of sheets obtained may be between 2000, 200 1, 2002 and 2003.
Last year, girls accounted for the total number of students who participated in various sports interest groups in a school. The students in the whole school are the same as last year. In order to welcome the 2008 Olympic Games, the number of students participating in various sports interest groups in the whole school has increased by 20% this year, among which girls account for the total number. Then, the number of girls participating in sports interest groups this year has increased by% compared with last year.
4. A class of natural numbers, the sum of their digits is 2003, then the smallest one of such natural numbers is.
Xiaoming's home phone number is an ingenious seven-digit ABCDEF. The middle is divided into a three-digit ABC and a four-digit DEFG, or a four-digit ABCD and a three-digit EFG, but whether it is the sum of the first three digits and the last four digits, or the sum of the first four digits and the last three digits, it is two equal four digits. Liang Xiao later installed a telephone. Liang Xiao asked his uncle in the telecommunication bureau to give him a number with the characteristics of Xiaoming's telephone number, with seven digits larger than Xiaoming's. The uncle of the telecommunications bureau said that Xiao Ming's family has the most like this. Then Xiaoming's home phone number is.
6. Eight sixth-grade students and two teachers from a school went for a spring outing in A.D., and the school only prepared 180 bottles of soda. The director of general affairs told the teacher that each person provided 3 bottles of soda (including the teacher), and the insufficient part could be purchased in the park and reimbursed after returning to school. When we arrived at the park, the store posted a notice: every five empty bottles can be exchanged for a bottle of soda water. So everyone was asked by the teacher to return the empty bottle after drinking soda. Then use the best way to plan, at least buy a bottle of soda and go back to school for reimbursement.
7. Xiaoming sits at the window of the train, which runs from the southern end of the bridge to the northern end. Xiao Ming took 80 seconds to measure * * *. Dad asked Xiao Ming how long the bridge was. Xiao Ming immediately started timing from a telephone pole next to the railway, and it took him 25 seconds to reach the tenth telephone pole. If the distance between every two telephone poles on the roadside is 50 meters, calculate the length of the bridge. So, the length of this bridge is 100 meter.
8. As shown in the figure, in the triangle ABC,
BD=2DC, AE=2ED. So, FC=7.
Yao AF=
9. In the following formula, A and B are two natural numbers, and C, D, E and F respectively represent four different numbers from 0 to 9, so the minimum value of A+B is.
10. Beijing kid Xiao Jing arranged the natural number 1 ~ 2008 in the following format:
1 2 3 4 5 6 7
8 9 10 1 1 12 13 14
15 16 17 18 19 20 2 1
22 23 24 25 26 27 28
29 30 3 1 32 33 34 35
… … … … … … …
He asked Xiao Hu, a Shanghai child, to frame 12 numbers with a 3×4(3 rows and 4 columns) rectangle, so that their sum was 20 10. Then the largest number in 12 is.
1 1. There are 44 three-wheeled agricultural vehicles, four-wheeled vans and six-wheeled trucks in a parking lot with 17 1 wheels. It is known that there are twice as few four-wheeled small Barbie six-wheeled trucks, so there is a three-wheeled agricultural vehicle in this parking lot.
12. It consists of four squares with side length of 1, as shown in the right figure.
A symmetrical figure with a square with a vertex of 14 as its vertex.
Points can get many different triangles, so in these three
Among these angles, there is a triangle with an area of 1. (area
Of the three variants of the triangle of 1, at least one side is horizontal or vertical)
Final examination paper of primary school mathematics Olympics in 2003
2. Calculation:1-× {1-× [1-× (1-)]} =
3. 1234565432 1+ 12345432 10+ 123432 100+ 1232 100+ 12 10000+ 1000000=
If the product of an eight-digit number and 3 is as follows, then the seven-digit number should be.
5. There is a rectangular square paper with 2000 squares horizontally and 1000 squares vertically. Now start from the upper left corner, draw one by one to the right along the border, then draw one by one to the bottom from top to bottom, then draw one by one from right to left to the left boundary, then draw one by one from bottom to top to the previously drawn squares, and so on until all the squares are drawn. Then the last drawn grid is rows from top to bottom and columns from left to right.
6. Two right triangles with the same shape and size? ABC and? DEF, placed as shown on the right, has an area of 2003 square centimeters, and the vertex of each triangle just falls on the hypotenuse of another triangle. The overlapping part of these two right triangles is a rectangle, so the area of the quadrilateral ADEC is square centimeters.
7. There are some fractions divided by, and all three are integers, so the smallest of these fractions is.
The number of students in a school is three figures, with an average of 36 students in each class. If the school's hundred digits and ten digits are reversed, the number of students in the school is less than the actual number 180, then the number of students in the school can be reached at most.
9. For a project, it takes 36 days for Party A to complete it alone, 30 days for Party B to complete it alone, and 48 days for Party C to complete it alone. At present, Party A, Party B and Party C are working at the same time. During the working period, Party C rested for an integer number of days, while Party A and Party B worked until the project was completed, and finally it took an integer number of days to complete the project. Then c has a day off.
10. The following figure is a decimal division formula, in which the two letters expressed in the formula require: a.
1 1. As shown in the figure on the right, black and white beads are arranged from top to bottom, and each layer is arranged one by one from left to right. The first time there were more white beads than black beads in 2003, it happened to be on the first floor.
12. The ratio of red balls to white balls in the bag is 19: 13. After several red balls are put in, the ratio of the number of red balls to the number of white balls is 5: 3; After adding some white balls, the ratio of red balls to white balls becomes 13: 1 1. It is known that there are 80 fewer red balls than white balls. So there is a ball in the bag.
13. In order to use electricity reasonably, a city encourages users to install "peak-valley" meters. The original electricity price in this city was 0.53 yuan per kilowatt hour. After the modification of the new meter, every night from 10 to 8: 00 am is a "low valley", with a charge of 0.28 yuan per kilowatt hour, and the rest of the time is a "peak hour" with a charge of 0.56 yuan per kilowatt hour. In order to refit the new meter, each user must charge a refitting fee of 100 yuan. Suppose a user consumes 200 kWh of electricity every month, and the electricity consumption in two different periods is 100 kWh. Then users can save 1000 yuan by refitting the meter 12 months.