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Urgent for the seventh "Into the Wonderful Mathematics Garden", Volume A, Grade 8, 2009 China Youth Mathematics Forum Fun Mathematics Problem-solving Skills Exhibition Competition.
The 8th China Youth Mathematics Forum "Entering the Wonderful Mathematics Garden"

The first round of fun math problem-solving skills exhibition competition

Precautions:

1. Candidates should fill in the relevant information of candidates in the sealed line as required.

2. Calculators are not allowed.

Third grade examination paper (Volume A)

I. Fill in the blanks (8 points for each question, 40 points for * * *)

1. The picture on the right is formed by folding an English letter-shaped paper 1 time. Please tell me which English letter it is, except "L".

4. Fill in the number 10 from 0 to 9 in the figure below (two numbers have been filled in) to make the equation hold. The subtraction is _ _ _ _ _ _ _.

There are some balls in the box. Xiaoming took out half a box and put back one ball at a time. This was done seven times, and there were still three balls in the bag. There is a ball in the bag.

Two. Fill in the blank 2 (each question 10, ***50)

6. There are 44 squares with 16 points, as shown below. Please draw six straight lines through each point without interruption, and finally return to the starting point.

7. In the picture below, the same letters represent the same numbers, and different letters represent different numbers. Two digits = _ _ _ _ _ _.

8.20 10 is the year of the tiger. Please fill in the number 1 1 1 in the word "Wang" on the tiger's forehead. Don't repeat it, so the sum of three rows and one column is equal to 18.

9. Doudou and Xin Wei each have a box of glass balls, *** 108, and Doudou gave them to Xin Wei 10. Doudou has eight more glass balls than Xin Wei. It turns out that Xin Wei has _ _ _ _ _ glass balls.

10. Someone goes to a business building 15 floor, and there is no elevator below the 4th floor (the elevator can take the 4th floor). It takes him 30 seconds to walk from 1 floor to the second floor, and the elevator speed is 10 times that of walking. Excuse me: it takes _ _ _ _ _ seconds for him to reach the 15 floor.

Three. Fill in the blanks (12 points for each question, ***60 points)

11.There are two villages near Village A and Village B. People in Village A always tell lies, while people in Village B always tell the truth. People from two villages can communicate with each other (that is, people from village A can go to village B, and people from village B can also go to village A). A foreigner came to this place, but he didn't know which village. He asked, "Are you from this village?" Answer: "No". Foreigners are in the village.

12. Stack 15 cubes with a side length of 1 on the table (as shown in the figure) and spray red before separation. The area of the part painted red is _ _ _ _ _ square centimeters.

13, on the eve of the Spring Festival, a rich man gave a sum of money to a beggar gang. At first, he was prepared to give each person 100 yuan, but 350 yuan was left. He decided to give everyone more 20 yuan. At this time, five beggars came from other places. If each of them gets as much money as other beggars, the rich need to add 550 yuan. The first beggar.

14. Fold the paper tape with a length of 48 cm and a width of 2 cm twice along the length, then cut it every 2 cm from one end, and finally get _ _ _ _ _ squares.

15. A rabbit walks from A to B along the edge of a square. It is stipulated that you can only walk up or to the right, but you must cross a wooden bridge. M n This rabbit has _ _ _ _ different ways to walk.