The method and answer of a sixth grade math problem 1+（1-1/2)+(1-1/3)+(1-1/4)+(1-1/5).+(1-1/2009)=?

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• 1. A project can be completed by several machines within the specified time. If two machines are added, it will only take seven eighths of the specified time to complete. If two machines are reduced, it will be delayed by two-thirds of an hour. How many hours does it take to complete the project by one machine?
• 2. If the equation (m-2) x ^ | m | - 1 - (n-2) x ^ 2 = 2 is a one variable linear equation about X, then M = (), n = ()
• 3. 1. The mass ratio of pesticide to water is 1 ∶ 100. If you want to prepare 404kg of pesticide, how many kg of pesticide and water are needed? 2. Calculate and paint. Paint the 20 squares in the figure below with red and blue at the ratio of 2:3. How many squares should each be painted? (5 squares horizontally and 4 squares vertically) 3. During the tree planting day, the school carried out tree planting activities to beautify the campus. The ratio of willow trees planted to poplar trees is 3:5. It is known that 60 willows have been planted and how many poplar trees have been planted? 4. As shown in the figure below, the length to width ratio of a rectangle is (5) ∶ (3). It is known that the circumference of a rectangle is 96cm. What are its length and width respectively? 5. Xiao Ming and Xiao Hong are both stamp collectors. The ratio of their stamps is 7:5. It is known that Xiao Ming has 24 more stamps than Xiao Hong. How many stamps do they each have? 6. The sum of numerator and denominator of a number is 92. If 16 is subtracted from numerator and denominator at the same time, the ratio of numerator and denominator is 1 ∶ 3 7. The ratio of the number of volleyball and football in the school sports room is 9 ∶ 10, and the ratio of football and basketball is 5 ∶ 7?
• 4. 1. A batch of "influenza A (H1N1)" drugs are transported by large and small trucks at the same time, which can be completed in 6 hours. If they are transported by large trucks alone, they can be completed in 10 hours. If they are transported by small trucks alone, how many hours will it take? 2. If you buy a car by installment, you need to increase the price by 7%. If you buy it by cash, you can enjoy a "95% discount". Uncle Wang calculated it and found that the installment is 7200 yuan more than the cash purchase. Do you know the original price of the two cars? 3. The inner diameter of the water pipe is 2cm, and the flow rate of water in the pipe is 8cm per second? You don't have to answer the second question.
• 5. There is a pool in which there is a certain amount of water. The pool is equipped with a water inlet pipe and several identical drainage pipes. If the water inlet pipe and five drainage pipes are opened for 8 minutes at the same time, all the water in the pool can be discharged. If the water inlet pipe and eight drainage pipes are opened for 4 minutes at the same time, all the water in the pool can be discharged, Turn off six of the drain pipes. In a minute, the pool will be empty. How many drain pipes are installed on the pool? (please analyze the answer, otherwise do not choose the best answer!)
• 6. Xiao Ming made a glass of juice, first drank 1 / 2 of it, then filled it with milk, then drank 1 / 3 of it, then filled it with milk, and finally drank it all. So Xiao Ming drank more juice or milk?
• 7. 35% more than 20%, 22T less than 25t
• 8. For a job, Party A can finish it in 9 days and Party B can finish it in 6 days. Now Party A has done it for 3 days, and Party B will continue to finish the rest of the work. How many days does Party B need to finish all the work?
• 9. There are ten steps in front of the gate of Huangqiao Grand Theater. Each step is 6 meters long, 0.8 meters wide and 0.2 meters high. 1 how many square meters does the ten steps cover? If the steps are paved with floor tiles, at least how many square meters should they be paved? It's better to write down what you think and what you calculate in each step! If it's good, extra points!
• 10. Two cars start from place a at the same time and drive along a highway to place B. car a travels 8 kilometers more per hour than car B. car a arrives at place C 40 minutes earlier than car B. when car B arrives at place C, car a just arrives at place B. It is known that the distance from place C to place B is 40 kilometers How many kilometers per hour does car B travel?
• 11. 1. The number of defective machine tools is one ninth of the number of genuine machine tools. After review, it was found that one of the genuine machine tools is unqualified. At this time, the number of defective machine tools is three-thirds of the number of genuine machine tools. How many machine tools are there in total? 2. A box of sugar weighs 500g. If you eat two fifths of this box of sugar and the rest weighs 340g, how much does the original sugar weigh? 3. A shopping mall delivered a batch of soap and sold 15 boxes less than one sixth of the soap. At this time, 87.5% of the soap was not sold. How many boxes are there in total? 4. There are 52 workers in a workshop, one fourth of them are male workers, one less than one third of them are female workers. How many are male and female workers in this workshop? 5. The speed of the local train is 5 / 7 of that of the express train. The two trains leave from station a and station B at the same time and go in opposite directions. They meet 36 kilometers away from the midpoint. How many kilometers did the express train travel when they meet? Try not to use equations to solve these five problems, Equations are OK. Send the answers
• 12. Practical questions: ① A rectangular reed mat with a length of 9.42 meters and a width of 6.28 meters is enclosed to form a grain storage bin. There are several different enclosure methods? What's the maximum volume? (the joint is not included) (the number obtained remains the whole cubic meter) ② A cone-shaped sand beach is 12.56 meters long and 9 meters high. How long can it be paved on a 5-meter-wide road with 2 cm thick sand? ③ A cylinder has a base area of 62.8 square centimeters and a height of 8 centimeters. A cone has the same volume and base area as it. What is the height of the cone? Fill in the blanks: ① A cylinder and a cone are of equal height and equal bottom. The sum of their volumes is 64 cubic decimeters, and the volume of a cone is () cubic decimeters? Judgment questions: ① The volume of a cone and a cylinder are equal, the area of the bottom is equal, and the cone is two-thirds higher than the cylinder
• 13. In sunny days, it takes 12 days for team a to complete the task, and 15 days for team B to complete the task. In rainy days, the work efficiency of team a will decrease by 50%, and that of team B will decrease by 25%. In the last two construction teams to start and complete the two projects at the same time, there will be more difficulties in rainy days_____ Day two One by one, one answer, two answers, two answers, three answers,
• 14. Young pioneers participated in the exhibition of environmental protection. 120 people went to the exhibition on the first day, 30 less than 1.5 times the number on the second day. How many people went to the exhibition on the second day?
• 15. Primary school sixth grade mathematics problem 100, urgent
• 16. The sixth grade Mathematical Olympiad questions and answers 100
• 17. One fifth of the students in class 6 (1) participated in the cleaning, and then two students took the initiative to participate in the cleaning One fifth of the original students in class 6 (1) participated in the cleaning, and then two students took the initiative to participate. The actual number of participants was one-third of the number who did not. How many students participated in the cleaning?
• 18. There are three digital cards of 0.35, which make up a three digit number. What is the percentage of 0 at the end?
• 19. Pave a 2-meter-wide path around a 37.68-meter-long circular pool. How many square meters is the area of the path?
• 20. We only need to use fraction four mixed operations A bookshelf has two layers, the upper and the lower, with a total of 128 books. The ratio of the number of books on the upper and the lower layers is 5:3. How many more books are there on the upper layer than on the lower layer? (mixed operation with four fractions.) Here's how it works 5+3=8 Upper layer: 128 / 8 * 5 = 80 (this) Lower layer: 128 / 8 * 3 = 48 (this) 80-48 = 32