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Fifth grade olympiad math problems
1, 25 divided by twice a number, the quotient is 3+ 1. Find this number. [4] 2. The school's green area this year is 1800 square meters, an increase of 40 square meters over last year, more than twice that of last year. What was the area of green space last year? This washing machine factory produces 260 washing machines every day this year, which is 40 less than the average daily output last year. How many washing machines did it produce every day last year? [3]4. The chemical fertilizer factory transported 47 tons of chemical fertilizer with two cars, the big car transported 8 times and the small car transported 6 times. This cart transports 4 tons at a time. How many tons does this car transport at a time? [3]5. A piece of cloth is 36 meters long, and 10 adult clothes and 8 children's clothes were cut. Adult clothes are 2.4 meters long, and how many meters are children's clothes? 6. Car A travels 48 kilometers per hour and car B travels 56 kilometers per hour. The two cars walked back to each other at the same time from two places at a distance of 12 km. A few hours later, the distance between the two cars was 272 kilometers. [4]7. The farm * * * has 4,800 chickens, and the number of hens is 300 1.5 times more than that of cocks. How many cocks and hens are there? 8. The elder brother and younger brother add up to 35 years old. My brother is three years older than my brother. How old are brother and younger brother? [4]9. Two cars, A and B, drive in opposite directions from two places 528 kilometers apart at the same time. When they met six hours later, car A was 6 kilometers faster than car B every hour. How many kilometers do they drive per hour? 10, Xiao Zhang used to go to 7.4 yuan to buy apples, and used 2 Jin more oranges from 0.6 yuan. How much are oranges per kilogram? [4] 1 1. The number of literary books purchased by school libraries is more than that of scientific books 156, and the number of literary books is three times more than that of scientific books. 12. How many books on literature and technology have you bought? [4] 12. The number of books owned by Party A is three times that of Party B, with an average of 82 books for each party. How many books do Party A and Party B have respectively? [4]13, a two-story bookshelf, with three times as many books on the upper floor as on the lower floor. If you move 60 books from the upper floor to the lower floor, there are as many books on the two floors. [4] 14, there are two goldfish tanks, A and B. The number of goldfish in the first tank is half of that in the second tank. For example, starting from B, I will drive at a speed of 40 kilometers per hour when I return, which is later than the planned time 1 hour. Find the distance between Party A and Party B [5] 16. Students grow sunflowers. There are three times fewer trees planted in the fifth grade than in the fourth grade. 10. The fifth grade planted 62 more trees than the fourth grade. How many trees are there in each grade? 17, TV factory produces a batch of TV sets. If it produces 40 TV sets a day, it will take 6 days longer than originally planned. If it produces 60 TV sets a day, it can be completed four days ahead of schedule. Find the original planned production time and the total number of TVs in this batch. [5]19, a ruler and a knife * * 1.9 yuan, four rulers and four. 20. Two granaries, A and B, have the same amount of grain. 130 tons is shipped from warehouse a, and after 230 tons is shipped from warehouse b, the surplus grain of warehouse a is three times that of warehouse b, and how many tons are stored in each granary? 2 1, coal piles a and b * * *100t. If 10 ton is transported from pile A to pile B, the quality of coal in pile A is exactly 1.5 times that of pile B. How many tons are there in reactor A and reactor B? 22. After warehouse A stores 32 tons of grain and warehouse B stores 57 tons of grain, warehouse A stores 4 tons and warehouse B stores 9 tons every day. A few days later, warehouse B stored twice as much grain as warehouse A? 23. These two wires are the same length. After cutting the first wire by 2 meters, the length of the second wire is 1.8 times of that of the first wire. How long are the original two lines? [4] 24, a batch of bananas, after selling 140 kg, the quality of the original bananas is exactly five times that of the remaining bananas. How many kilograms are there in this batch of bananas? 25. Xiaoming went to climb the mountain. It took him 45 minutes to climb the mountain, and it took him 30 minutes to go down the mountain according to the original route. Every minute he goes up the mountain is 9 meters less than every minute he goes down the mountain, so as to find out the speed of going down the mountain. [4] 26. Party A and Party B respectively walk in the same direction from Party A and Party B which are18km apart, with Party B behind. When Party A caught up with Party B, he left 1. Find the speed of car A [4] 27. Car A and car B go from place A to place B at the same time. Car A travels 30 kilometers per hour, while car B travels 45 kilometers per hour. A car leaves two hours before B car leaves, and both cars arrive at B. Find the distance between A and B. Master and apprentice process the same parts, and apprentice processes 12 pieces per hour. How many parts does the main module process per hour? [5] 29. There are two barrels of oil, A and B. After injecting 15 liter of oil into one barrel, the quality of the two barrels of oil is equal; If barrel B is filled with 145 liters of oil, and the quality of barrel B is three times that of barrel A, then how many liters of oil are there in the original two barrels? [5] 30. The length of three railways A, B and C is 1 19 1 km, and the length of railway A is twice that of railway B. Find the length of a railway. [5] 365,438+0. An engineering team consists of 6 rough carpenters and 65,438+0 joiners. After completing a certain task, each roughneck gets 200 yuan, and the salary of each joiner is more than the average salary of the whole team. Ask each participant how much they get. [5] 32. Xiaoming scored an average of 96 points in the mid-term exam. The score of common sense is 3 points less than the average score of Chinese, mathematics, geography and common sense. Find the score of common sense. 33. The TV factory assembles a batch of TVs, which is scheduled to be completed in 25 days. If 35 sets are installed every day, 60 sets can be exceeded in 24 days. Find the number of sets that were originally planned to be assembled every day. 34. The master processes 50 sets per hour, 65438+ more than the apprentice. So the apprentice finished the task 1 hour earlier than the master. How many parts should each of them process? [5] 35. It costs 13.6 yuan to buy 2.5 kilograms of apples and 2 kilograms of oranges. As we all know, a kilogram of apples is more expensive than a kilogram of oranges. What is the unit price of these two fruits? [5]36. Pay 24 yuan for four pens and nine ballpoint pens. It is understood that two pens can buy three ballpoint pens. How much are these two pens? [4]37. For two-digit numbers, one digit is twice as much as ten digits. If the number in the tenth digit is reversed from the number in the second digit, the new two-digit number is 36. Find the original two digits. [5] 38. For two-digit numbers, the number of the tenth digit is less than that of the second digit 1, and the number of the tenth digit is 36+0. Add 2 to the second box; Double the third box; If the fourth box is reduced by half, there will be as many balls in these four boxes. How many balls are there in each box? [5]40. There are 72 long ropes and short ropes in the school gymnasium, and the number of short ropes is 8 times that of long ropes. How many long and short ropes are there? 4 1, Aunt Wang sold eggs, and she sold 12 kg in the morning and 18 kg in the afternoon, which was 27.6 yuan more than that in the morning. How much is the average egg per kilogram? 42. The railway length from Nanjing to Beijing is 1 166 km. An express train goes from Nanjing to Beijing, while a local train goes from Beijing to Nanjing. Five and a half hours later, two trains met. Speed of the express train118km, and how many kilometers is the local train? (two approaches) 43. The area of a triangle is 2. 1 m2, the height is1.2m, and how many meters is its base? 44. It took 15 days for the master and the apprentice to process a batch of parts together. The master processes 60 parts every day, and finishes the task by processing 360 more parts than the apprentice. How many parts does the apprentice process every day? 45. The canteen bought 7 bags of rice and 7 bags of flour, each with 525 kilograms. Each bag of rice weighs 50 kilograms, and each bag of flour weighs how many kilograms? 46. The toy factory produces 360 more panda toys than bear toys in a week, and the number of panda toys is five times that of bear toys. How many pieces of panda toys and bear toys have been produced respectively? 47. Li Shifu bought four pairs of socks and two pairs of shoes, which cost 95.2 yuan. It is known that each pair of shoes is 34 yuan and how much is each pair of socks? 48. The distance between Station A and bilibili is 900 kilometers. A truck and a bus leave from Station A and bilibili respectively at the same time. The speed of trucks is 80 kilometers per hour, and the speed of passenger cars is 120 kilometers per hour. How many hours did two cars meet on the road? 49. The fruit shop delivered 30 boxes of apples and 25 boxes of pears, weighing 975 kilograms. Each box of apples weighs 20 kilograms, and each box of pears weighs how many kilograms? 50. The area of a trapezoid is 72.9 square centimeters, the upper bottom is 10.4 centimeters, the lower bottom is 5.8 centimeters, and how many centimeters is the height?