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1. Xiao Zhao, Xiaoqian, Sun Xiao and Xiao Li discuss which team won the final of the football match. Xiao Zhao said, "Team D will lose, but Team C can win." Penny said, "Team A and Team C are better than Team B, and there will be losses at the same time." Sun Xiao said: "Team A, Team B and Team C can all win." Xiao Li said, "Team A lost, while Team C and Team D obviously won."

They have said which team won. Can you guess which team won the championship?

Answer: Xiao Zhao's words indicate that Team D lost.

Small money means that team B lost.

Sun Xiao's words indicate that Team D lost.

Xiao Li's words showed that Team A lost.

So, Team C won.

A football made of only 32 pieces of black and white leather. Black leather is a regular pentagon and white leather is a regular hexagon. How many pieces are there in black and white leather?

A: Each piece of Cheren is 5 pieces of white.

Each white chess piece connects three black chess pieces and three white chess pieces.

Let black =x

White =y

There are:

x+y=32

5x/3=y

x= 12

y=20

Black = 12

White =20 yuan.

When Li Hong was in an extracurricular group activity, the teacher gave her a math problem. After some efforts, Li Hong finally found the answer that the teacher thought was correct. The topic is: each cock is worth 5 yuan money, each hen is worth 3 yuan money, and each chick is worth 1 yuan. Now someone has just bought a chicken at a cost of RMB. Excuse me: How many cocks, hens and chicks are there in this chicken?

Huan Li is a good friend of Wang Min. Shortly after the summer vacation, Wang Min received a letter from Li Huan, which said, "Welcome to my home. My family lives in Xinghua Street. The house number is two digits. The sum of the two numbers is 6, and the product of the two numbers is 9 times the quotient obtained by dividing the two numbers. " Can you help Wang Min guess the house number of Li Huan?

The teacher took five hats, three blue ones and two red ones. He blindfolded three clever students, A, B and C, put hats on them, put the rest away, and then untied the blindfolded eyes of B and C. At this time, the teacher announced that whoever could accurately tell the color of the hat on his head would have a prize. B and C looked at other people's hats and thought for a while, but they couldn't answer. At this time, the blindfolded classmate suddenly shouted: "I know, I am wearing a police tactical unit on my head." The teacher said happily, "Good! You guessed it! " Please tell me what A thinks.

A bicycle race entered the final stage, and five athletes took part in it. According to the results of the preliminaries, there are five possibilities for ranking this competition (each ranking can only have one person):

(1) Xiao Wang is second and Xiao Li is third;

(2) Xiao Li is the first and Ding Xiao is the fourth;

(3) Xiao Zhang is the third and Xiao Zhao is the fifth;

(4) Xiao Wang is second, and Ding Xiao is fourth;

(5) Xiao Zhao comes first, and Xiao Zhang comes second.

After the game, I learned that one of the above five guesses was correct. Please find out the champion of this competition.

Seven children are playing games together. Xiao Gang said, "Let me guess your age. No matter who you are, just multiply your age by 3, add 6, then divide by 3, and finally tell me the number, and I can guess his age immediately. " Therefore, the guess is very accurate. Do you know what is going on?

Mount Qomolangma is the main peak of the Himalayas, known as the "roof of the world", with an altitude of 4000 meters, which is the highest peak in the world. But a piece of paper is not convinced. It said, "Although I am thin, only 0.0 1 cm thick, after I fold it in half for 30 times in a row, my thickness will be more than ten times that of Mount Everest." Students! Do you think this paper is bragging? Please calculate it.

There are eight people playing chess at present. The scoring principle is 1 for each game won, 0.5 for each game and 0 for each game lost. In this way, everyone will get different scores. As we all know, the second player scored as many points as the last four players. Do you know who won and lost in the fourth and fifth place competitions?

10 Xiaojun and Qin Xiao are playing games. Qin Xiao said to Xiaojun, "You can remember any point on the clock. Then, every time you point to a point with my hand, you add 1 to the number you remember. When it reaches 20, the number I point to must be the point you remember. " The result is good. Do you know how Qin Xiao guessed?

1 1 nine good friends,

Thirty autumns apart,

Hometown just got together,

Meet and shake hands,

Welcome banquet drinks,

How many hands have you shaken,

Please count.

12 In order to welcome them, the workers raised balloons in Tianfu Square. Xiao Ming counted and said, "If you look at it the other way around, there are three red ones in every four." Xiaohua said, "Conversely, three of the four are yellow." They are right. Can you figure out how many red balloons and how many yellow balloons there are?

1 and the sum of three consecutive odd numbers is 15. What are their products?

2. Calculation: 34. 5×9.23—34.5+ 1.77×34.5

3. As shown in figure 1, the parallelogram is 20 square centimeters.

Please calculate the shadow below. (Unit: cm)

In order to welcome them, the workers raised balloons in Tianfu Square. Xiao Ming counted and said, "If you look at it the other way around, there are three red ones in every four." Xiaohua said, "Conversely, three of the four are yellow." They are right. Can you figure out how many red balloons and how many yellow balloons there are?

5. It is known that two squares of equal size have 9 equal circles, 16 equal circles.

Which do you think is the bigger difference between the two squares? (Figure 2) Known; Point p outside the circle is the three secant lines of the circle. The left one intersects with point A at point D, the right one intersects with point B at point E, and the middle one intersects with point C (between D, E, PA, PB and PC). The product of the sine of the middle secant (PC) and the large angle APB is equal to the product of the sine of the left secant (PA) and the right angle BPC, plus the product of the sine of the right secant (PB) and the left angle APC.

Verification: PCsin∠APB =PAsin∠BPC+PBsin∠APC.

6. The difference between father and son is 26 years old this year. After 15, the difference is 26 years old.

7. When n represents 1, 2,3,4,5,6. . . . . . ,2n,2n- 1。

8. During the Chinese New Year, grandpa had a batch of * coins and gave them to Xiaoming, Xiaohong and Xiaogang. Grandpa is going to give Xiaoming, Xiaohong and Xiaogang lucky money, which is one third, one quarter and one sixth of his total lucky money respectively. As a result, grandpa's money was only 75 yuan. How much money did grandpa have before?

9. Stores can still get 20% profit from the price of a China color TV. (20% of the purchase price) It is understood that the purchase price of each color TV of this brand is RMB. What is the price tag of this brand of color TV sets?

10, from 165438+ 10/year, interest tax will be levied on savings deposits nationwide, with the interest tax rate of 20%. Teacher Wang deposited RMB * in the bank on May 1 day with a fixed term of one year and an annual interest rate of 3.78%. Then, on the maturity date of the deposit, Mr. Wang Yi

The annual interest rate of 1 1 and the fixed savings of 1, 2 years, 3 years and 5 years are 2.25%, 2.43%, 2.70% and 2.88% respectively. Try to calculate the RMB principal involved in these four kinds of savings and the interest earned at maturity (stipulated by the state; Personal savings are subject to interest tax from 165438+ 10/month 1 year, and the interest tax rate is 20% of the interest. As a result, what can you find? (Prompt: Interest = principal × annual interest rate × savings period)