Find ten super problems in sixth grade mathematics
1. There were some apples, 30% of which were given to Xiao Zhang, the rest 20% to Xiao Wang and the rest to Xiao Li, so Xiao Li took 20 more apples than Xiao Zhang. 1* * How many apples are there? 2. A workshop plans to process a batch of parts in five days, and processed 1 multiple such parts on the first day. The next day, the remaining 1 is less than 150, the third day, the remaining 1 is more than 80, the fourth day, the remaining 1 is less than 20, the fifth day, and finally 1800 is processed. How many parts are there in this batch? 3. In the electronic piano competition, the players are divided into three groups: A, B and C. The number of players in Group A accounts for 4/05 of the total number, while that in Group B is 65/438+06 more than that in Group A, and the ratio of players in Group B to Group C is 6: 5. How many athletes will take part in the competition? A businessman rode a donkey across the desert of 1000 km to sell 4000 carrots. As we all know, donkeys can carry 1000 carrots at a time, but they have to eat one more carrot every kilometer. How many carrots can a businessman sell at most? 5.A and B walk in opposite directions from A and B, A walks and B rides a bike. It is known that they met again after 80 minutes, 100 minutes. How many times did B meet A before returning to B? 6.a and B are 360 meters apart. In the first half, Xiaohua walked at speed A, and in the second half, she walked at speed B, knowing that A: B = 5: 4. Q: What is the ratio of the first half of the journey to the second half? 7. On the circular runway with a circumference of 400 meters, there are two points, A and B, which are 100 meters apart. A and B run back to each other at the same time. After they met, B turned and ran in the same direction as A. When A ran to A, B just ran to B. If A and B run at the same speed and direction in the future, then when A catches up with B, B will be 8. On the highway, there is a cyclist and a pedestrian. Cyclists are three times faster than pedestrians. Every six minutes, a bus passes pedestrians, and every 10 minutes, a bus passes cyclists. If the departure time interval remains the same, the bus will leave every few minutes. 9. The three brothers got 24 apples, and the number of apples each got was equal to his age three years ago. If the third child gave half of the apples he got to the boss and the second child, then the second child gave half of the existing apples to the boss and the third child, and finally the boss gave half of the existing apples to the second and the third child, then everyone got exactly the same number of apples. How old are the three brothers now? 10. The annual interest rate of capital deposits in a school is 10%. If the backlog of funds is 100 yuan, it is equivalent to the loss of one year's interest 10 yuan. Now the school has decided to buy coal for heating in winter in early autumn. According to past experience, 15 tons of coal will be consumed under normal temperature in winter, but 10 tons of coal will be used if the temperature is warmer, and 20 tons of coal will be used if the temperature is colder. The price of coal varies according to the cold weather. In warmer, normal and cold weather, the price per ton of coal is 100 yuan, 150 yuan and 200 yuan respectively, while it is 100 yuan in early autumn. Without the long-term forecast of winter temperature in that year, how many tons of coal should the school enter in early autumn?