First, the travel problem.

(A) the pursuit and problems encountered

1. From A to B, it takes 3.6 hours longer to walk than to take a bus. It is known that the walking speed is 8 kilometers per hour and the bus speed is 40 kilometers per hour. What is the distance from a to b?

2. Someone rides a bike from home to school. If you drive at a speed of 15 km/h, you can arrive 15 minutes earlier than the scheduled time; If you drive 9 kilometers per hour, you can arrive 15 minutes later than the scheduled time; How many kilometers is the distance from home to school?

On the 3.800-meter runway, two people are practicing middle and long distance running. A runs 320 meters per minute, and B runs 280 meters per minute. They all started from the same place and direction at the same time. They will meet in a few minutes.

4.5. The passenger train is 200 meters long and the freight train is 280 meters long. They are driving in opposite directions on parallel tracks. It takes 16 seconds from the time when two cars meet to the time when two cars leave each other. As we all know, the speed ratio of passenger cars to trucks is 3: 2. How many meters do two cars travel per second?

(B) the clock problem

1.8 to 9: 00, when does the minute hand and the hour hand coincide? When do the minute hand and the hour hand form a right angle? When does the minute hand and the hour hand form an angle?

(3) the problem of navigation

1. A ship is sailing between two docks. The current speed is 3 kilometers per hour. It takes 2 hours to sail downstream and 3 hours to sail upstream. What's the distance between the two docks?

An airplane flies between two cities with the wind speed of 24 kilometers per hour. It takes 2 hours and 50 minutes to fly with the wind and 3 hours to fly against the wind. How to find the distance between two cities?

Second, the engineering problems

1. For a project, it takes 10 days for Party A to do it alone, and 15 days for Party B to do it alone. After four days of cooperation, the rest will be done by Party B alone. How many days will it take Party B to do it alone?

2. A project is completed by two teams, Team A and Team B. It takes 16 days for Team A to complete it alone, and 12 days for Team B to complete it alone. If Team A works for four days first, and then two teams work together, how many days will it take to complete 5/6 of the project?

As we all know, the pool has a water inlet pipe and a water outlet pipe. The water inlet pipe can fill the empty pool 15 hours, and the water outlet pipe can fill the pool for 24 hours. For an empty pool, if the water inlet pipe is opened for 2 hours first, and then two pipes are opened at the same time, how long will it take to fill the pool?

It takes 40 hours for one person to sort out a batch of books. Now it is planned that some people will work for four hours first, and then two people will work with them for eight hours to finish the work. Assuming that these people are equally efficient, how many people should be arranged to work first?

Third, the question of competition points.

1. An enterprise conducted an English test for the candidates. The test questions consist of 50 multiple-choice questions. The scoring standard stipulates that if the answer to each question is correct, you will get 3 points; Do not choose, get 0 points; If they are wrong, deduct 1 point. It is known that someone didn't do 5 questions and got 103. How many questions did the man make wrong?

2. Eight classes in Grade 7 of a school held a football friendly match, and the scoring system was adopted. If you win a game, you will get 3 points, if you draw a game, you will get 1 point, and if you lose a game, you will get 0 point. After a class played 1 with seven other teams, it scored 17 points with an unbeaten record. How many games did this class win?

3. In a basketball match, * * * hit 15 balls (including 2-pointers and 3-pointers) and * * * scored 34 points. How many 2-pointers and 3-pointers did Xiaoming hit?

Fourth, the issue of age.

1, A is older than B. 15 years old. Five years ago, A was twice as big as B. How old is B now?

Xiaohua's father is 25 years older than Xiaohua now. Eight years later, Xiaohua's father is more than three times older than Xiaohua and five years old. Ask Xiaohua's age now.

Verb (abbreviation of verb) proportion problem

1. A washing machine factory produces three types of washing machines *** 1500. It is known that the number ratio of three types of washing machines, A, B and C, is 2: 3: 5. How many washing machines are produced by three models?

There are ***28 workers in the factory. It is known that 1 person can produce 12 screws or 18 nuts a day. How to distribute them so that the products produced in one day just match? (1 screw and 2 nuts)

Sixth, the issue of distribution.

1, Xiao Ming has been watching it for several days. If he reads 32 pages a day, there are still 3 1 pages left. If you read 36 pages a day, you need to read 39 pages on the last day to finish reading. How many pages are there in this book?

2. The number of people in Team A is twice that of Team B. After transferring 12 people from Team A to Team B, the number of people left in Team A is half of the original number of people in Team B, which is 15 more. How many people are there in Team A and Team B respectively?

There are several workers in Workshop A and Workshop B respectively. If 100 people are transferred from Workshop B to Workshop A, the number of people in Workshop A is 6 times that of the remaining people in Workshop B; If 100 people are transferred from workshop A to workshop B, then the number of people in the two workshops is equal. How many people are there in Workshop A and Workshop B?

VII. Quantitative issues

1, a three-digit number, each digit is twice the hundred digits, and the ten digits are greater than the hundred digits 1. If these figures are reversed with hundreds of figures, the new figure is 49 times less than the original figure, so the original figure is found.

Eight, geometric problems

1. The circumference of the rectangle is 26 cm. If the length of this rectangle is reduced by 1㎝ and the width is increased by 2㎝, it can become a square. Then the length and width of the original rectangle are several centimeters each.

2. Fill a conical container with a bottom diameter of 30cm and a height of 8cm with water, and then pour the water into an empty cylindrical container with a bottom diameter of10cm. How high is the water in the cylindrical container?

IX. Profit and profit rate

1. A clothing store will increase the cost of a certain clothing by 40%, then mark the price and sell it at a 20% discount. As a result, each piece of clothing still earned 15 yuan. What is the cost of each piece of clothing?

2. The selling price of a commodity is 900 yuan/piece. In order to participate in the market competition, the store will give 40 yuan a 10% discount on the selling price and still make a profit of 10%. What is the purchase price of this commodity?

3. If a store sells two clothes at the same time at the price of each piece in 60 yuan, and one of them makes a profit of 25% and the other loses 25%, is it a profit or a loss?

X. Programme issues

1. It is known that the taxi charging standard in our city is as follows: 2 yuan is charged if the mileage does not exceed 2 kilometers; If the bus mileage exceeds 2 kilometers, the excess part will be charged 1.4 yuan per kilometer except 2 yuan. A tourist took a taxi from the passenger center to Sanxingdui and handed it over to 10.4 yuan. Try to estimate how many kilometers it is from the passenger center to Sanxingdui.

2. A communication company has launched two local mobile communication services, A and B. A user needs to pay the monthly fee of 15 yuan, and then pay the 0.3 yuan every call 1 minute; Type B users don't pay the monthly fee, but pay it to 0.6 yuan every 1 minute. According to a month's call time, which method is more favorable?

3. Some of the same rooms need painting. Three masters painted eight rooms a day, and as a result, 40㎡ of the walls were not finished in time. Meanwhile, five apprentices painted the walls of nine rooms. Each master draws 30㎡ more walls than his apprentice. How many square meters is the wall area to be painted in each room?