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Seven-year math problem
1. It takes 30 seconds for the train to completely pass the 300-meter-long iron bridge, and it takes 10 seconds to completely stay on the bridge. The length and speed of the train.

2. A class of students went to Beishan for an outing, 18km. There is only one car, so it needs to be divided into two groups. Group A takes the bus first, and Group B walks. The bus goes to Group A, Group A gets off and walks, and the bus goes back to Group B. Finally, the two groups arrive at Beishan at the same time. Given the car speed of 60km/h and the walking speed of 4 km/h, find the distance from point A to Beishan.

3. Peony Cup football match 1 1 round (that is, each team needs to play 1 1 game). 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. The team of Guoxing Sangao Club won four times as much as it lost, and the result was * * * 25 points. The team won the trophy.

In extracurricular activities, some students take part in group activities. Originally, there were 8 people in each group, and then they were regrouped, and each group had 12 people, which decreased by 2 groups. How many students are there?

5. There is a high-speed wind belt above the surface 10 km. Suppose there are two planes flying at the same speed in this wind belt, and one of them flies from A to B, the distance is 4000 meters, which takes 6.5 hours; At the same time, another plane flew from B to A in only 5.2 hours. What is the average speed of the plane and the wind?

6. A motorcade travels at a speed of 5 km/h, and after 20 minutes, a 15km/h harvester driven by a correspondent harvests wheat 12 hectares every day. Cutting 2/3 of the wheat field improved the efficiency to 5/4 times of the original, so it was completed 1 day ahead of schedule. How many hectares are there in the wheat field?

How many hours will it take him to catch up with the team?

7. According to the regulations of civil aviation, passengers in ordinary class can carry up to 20kg of luggage for free, and the excess can be purchased with 15% of the ticket price. A passenger carrying 35 kilograms of luggage will pay 1323 yuan for air tickets and baggage tickets.

8. Party A and Party B invest in the company according to the ratio of 2: 5, and agree to share the profits according to the investment ratio. If the profit in the first year is 14000 yuan, how much should Party A and Party B share respectively? Solutions of equations

9. When a store sells two goods with the same price, one of them gains 25% and the other loses 25%. Is it a profit or a loss to sell these two goods?

10. It takes 30 seconds for the train to completely pass the 300-meter-long iron bridge, and it takes 10 seconds to completely stay on the bridge. The length and speed of the train.

1 1. A workshop can produce 120 type A parts, 100 type B parts or 200 type C parts every day. Take 3 A-shaped parts, 2 B-shaped parts and 1 C-shaped parts as a set. Now it is required to produce the most complete set of products within 30 days. How many days does it take to produce three parts, A, B and C?

12. A middle school organized a spring outing for junior one students. It was originally planned to rent a number of 45-seat buses, but 15 people had no seats. If you rent the same number of 60-seat buses and have one more, the rest will be just full. We want to ask

(1) What is the number of students in Grade One? How many 45-seat buses were originally planned to be rented?

The sum of 13.A, B and C is 53, so the ratio of A to B is 4: 3, C is 2 less than B, B is () and C is ().

14. The length of the thick candle is the same as that of the thin candle. The thick candle burns for 5 hours and the thin candle burns for 4 hours. After the power failure, two candles are lit at the same time, and they are extinguished at the same time after the call. It turns out that the length of a thick candle is four times that of a thin candle. How long is the power outage?

15. For three digits, the number at 100 is larger than the number at 10 by 1, and the number at the third digit is 3/2 smaller than the number at 10. If the order of the three digits is reversed, the sum of the three digits and the original three digits is 1 17 1. Find this three-digit number

16. The distance between a and b is 3 1 km. An hour later, A rode a bicycle from A to B, and B rode a motorcycle from A to B. It was known that A was driving at a speed of 12 km, and B was driving at a speed of 28 km. How many hours will it take to catch up with A after B leaves?

17. Three classes in Grade One of Senior High School donated books to Hope Primary School, and one class collected books 152 volumes. The number of books donated by class two is the average of three classes, and the number of books donated by class three is 40% of the total number of books donated by grade three. How many books did Class Three donate?

18. The brine for one cup of 15% salt is 200g. How much salt should I add to make the salt water contain 20%?

19.2, A and B are 3300m apart. A and b go in opposite directions at the same time. A walks 82 meters per minute, and B walks 83 meters per minute. It's been 15 minutes. How many minutes before we meet?

20. 1, two cars, A and B, drive from two places 480 kilometers apart at the same time. A car was traveling at a speed of 45km/h, and a car stopped due to car trouble on the way 1 h. Five hours later, two cars met. How many kilometers per hour is the B train?

2 1.3, a and b two trains leave from two places at the same time, with opposite directions. It is known that car A travels 45 kilometers per hour and car B travels 32 kilometers per hour. When they met, car A traveled 52 kilometers more than car B ... How many kilometers was there between Party A and Party B?

The two sisters walked 770 meters from home to the Children's Palace at the same time. My sister walks 60 meters per minute, and my sister rides her bike to the Children's Palace at a speed of 160 meters per minute and returns immediately. She met her sister on the road. Then my sister walked for a few minutes. (200 1 Shanghai Jinshan District Upgrade Examination Paper)

23. Xiaoming and Xiaohua start from A and B at the same time and go in opposite directions. Xiaoming walks 60 meters every minute, Xiaohua rides a bike 190 meters every minute, and they meet at a distance of 650 meters in a few minutes?

24.a and B are 300 kilometers apart, and two cars start from both places at the same time and drive in opposite directions. They returned immediately after they arrived at their destination. Eight hours later, they met again. It is known that car A travels 45 kilometers per hour. How many kilometers does bus B travel per hour?

25. The four tour groups A, B, C and D have 69 tourists, 85 tourists, 93 tourists and 97 tourists respectively. Now the four tour groups should be organized separately, so that one person in each group can go sightseeing by car. It is known that after the three groups of A, B and C are divided into several groups of A people in each group, the remaining number is the same. Then, after each group of A people is divided into several groups, how many people will win the Ding Tour Group?

26. There are the same number of balls in five boxes. If you take out 60 balls from each box, the remaining balls in five boxes are equivalent to the number of balls in the original two boxes. How many balls are there in each box?

27. A train is 200 meters long. It passes through a 200-meter-long tunnel at a speed of 10 meter per second. How many seconds does it take to enter the tunnel from the front and leave the tunnel from the back?

28. A person walks 5 kilometers per hour. It takes 8 minutes less to ride a bike than to walk every 1 km. What's the speed of cycling?

29. A piece of cloth is15m long and1.2m wide. How many edges can you cut with this cloth?

30. There is a seven-digit number, which can be divided into three digits and four digits, but whether it is divided into the first three digits, the last four digits, or the first four digits and the last three digits, the sum of the two digits is always equal. What is the smallest of these seven figures?

3 1 How many triangles are there? All three sides are integers, and the longest side is 1 1?

32. Several people are repairing the road. If three people can be transferred, the task can be completed in 20 days; If 8 people can be transferred, 10 days to complete the task; Only two people can be transferred now. How many days can the task be completed?

33. Party A and Party B sell apples. On the first day, Party A sells 1 yuan for every three apples and 1 yuan for every two apples. The next day, Party A and Party B sold them together, and every five apples were sold to 2 yuan. It is known that everyone brings the same value of apples every day. All apples are always sold out. If their total income is 120 yuan on the second day, what is their total income on the first day?

34. A rectangle can divide a plane into two parts. How many parts can three rectangles divide a plane at most? How about ten rectangles?

35. Teachers and students of a school donated 1995 yuan to the disaster area. There are 35 teachers in this school, 14 classes, each class has the same number, with more than 30 students but no more than 45 students. If the average amount of money donated by everyone is an integer, what is the average donation?

36. Class A, Class B and Class C of Grade 5 in bright primary school organized a literary evening and gave a performance 14. If each class performs at least three programs, how many kinds of performances are there in these three classes?

37. The bottom of the pool is equipped with a normally open drain pipe and the top is equipped with a water inlet pipe with the same thickness. Four water inlet pipes are opened, and it takes 5 hours to fill the pool. Two water inlet pipes are opened, and it takes 15 hours to fill the pool. Now it needs to fill the pool in two hours. How many water inlet pipes should be opened at least?

People in the back are not allowed to copy mine. Otherwise it's a pig. . . . .