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20 19 seventh grade basic application problems of Olympic mathematics
The vigorous development of Mathematical Olympiad in the introduction of # Junior High School Mathematical Olympiad has greatly stimulated children's interest in learning mathematics and has become a beneficial activity to guide them to actively explore and grow up healthily. The following is the relevant information compiled by KaoNet for you. I hope it will be useful to you.

Tisch

1. The expressway was originally planned to be built 450 meters a day and completed in 80 days. It is now required to be completed 20 days in advance. How many meters do you need to repair every day on average?

This farm tool factory produces a batch of farm tools. The original plan was to produce 120 pieces a day, and the task could be completed in 28 days. In fact, 20 pieces are produced every day, so that the task can be completed a few days in advance.

The flour mill transports a batch of flour by car. Originally planned to use 9 cars with 24 bags per car/kloc-0.5 times, but now it is changed to 6 cars with 30 bags per car. How many times can it be transported?

4. To build a highway, it was originally planned to work 7.5 hours a day, and eight people could finish it in six days. In fact, two workers have been added to prepare for four days, so how many hours will it take to work every day?

5. A project, it is estimated that 30 people 15 days can complete the task. After four days of work, three more people were added. If everyone works equally efficiently, how many days can we finish the task ahead of schedule?

There are 120 workers in a construction site, and the canteen has prepared meals for these workers for 30 days. I actually worked for 5 days. Due to the tight construction period, 30 workers were transferred, and the meals originally prepared in the canteen were only enough for a few days.

7. A project was originally planned to be completed in 10 day, with 8 people working 6 hours a day. Now, in order to speed up the work progress, two people are added, and the working hours are increased by two hours every day, so that the project can be completed a few days in advance.

extreme

1. The road team will build a road with a length of 180 km. It turned out that it was built 6 kilometers a day. /kloc-speed up after 0/5 days, and build 7.5 kilometers a day. How many days will it take to complete this road?

2. The construction site needs 106 tons of sand. First, automobile transportation 15 times, 2.4 tons each time. The rest is shipped by truck, 5 tons each time. How many times are they shipped out?

Zhang Li bought four fables and four English humors, gave them 20 yuan and took them back to 7.6 yuan. Every fable 1.6 yuan. How much is each English humor?

In the past, there were 30 boats in People's Park, which brought in 540 yuan every day. Now there are more 15 boats. How much does it earn every day?

5. The TV factory originally planned to produce 1680 color TV sets in 36 days, but half of them were completed in the first 16 days. The rest of the plan will be completed within 6 days. How many sets are produced on average every day?

6. There are five machines weighing 600kg, 400kg, 800kg,1000kg and 700kg respectively. These machines are transported by two trucks with a load of 2 tons. How can they be loaded and transported at one time?

Tisso

1. Xiao Wang went into a store, spent half of the money he brought, then spent 10 yuan, walked out of this store and went into another store. Spent half of the remaining money, and he spent 10 yuan. At this time, his money ran out. How much money did Xiao Wang bring before he entered the first store?

There are two packs of exercise books. If you take out nine books from one bag and put them in the second bag, the number of books in the two bags of exercise books is the same. If you take 12 copies from the second package, the number of copies in the first package is three times that in the second package. How many exercise books are there in each of the two packs?

3. When two numbers are divided, the quotient is 5, the remainder is 2, and the sum of dividend, divisor, quotient and remainder is 267. How much is the dividend greater than the divisor?

Xiao Ming took the English and Chinese exams today, and their average score was 92. He also took a math test, which was one point higher than the original average. How many points did he get in the math exam?

5. Use a 2-meter-long piece of wood and saw it into four pieces with the same length to make stool legs. How high is this stool?

6. My mother took Xiaoming to see her grandmother by coach, and she had to walk 308 kilometers on the way. They set off at 8 am, and the bus travels at an average speed of 80 kilometers per hour. Can you arrive at noon 12?