First, the application of the score 1. One tank of water used 1/2 and 5 barrels, leaving 30%. How many buckets of water are there in this cylinder? 2. The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left? 3. After 2/3 of the expressway is completed, it is16.5km away from the midpoint. What is the total length of this highway? 4. The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch? 5. There is a batch of chemical fertilizers in the warehouse, and 2/5 of the total amount was taken out for the first time, and less than 1/3 of the total amount was taken out for the second time. At this time, there are 24 bags left in the warehouse. How many bags are taken out twice? 6. The distance between Party A and Party B is 1 152km. A bus and a truck leave from two places at the same time. Trucks run 72 kilometers per hour, 2/7 faster than buses. How many hours did it take for two cars to meet? 7. A coat is more expensive than a pair of trousers 160 yuan, in which the price of trousers is 3/5 of that of a coat. How much is a pair of trousers? 8. There are 60 black rabbits in the feeding group, and there are more white rabbits than black rabbits 1/5. How many white rabbits are there? 9. The school wants to dig an 80-meter-long sewer. 1/4 was dug on the first day, and 1/2 was dug on the second day. * * How many meters have you dug in two days? How many meters are left? The sixth grade mathematics application problem 2 Second, the application problem of ratio 1, the circumference of a rectangle is 24 cm, and the length-width ratio is 2: 1. What is the area of this rectangle? 2. The sum of sides of a cuboid is 96 cm, and the ratio of length, width and height is 3∶2 ∶ 1. What is the volume of this cuboid? 3. The total length of a cuboid is 96 cm, the height is 4 cm, and the length-width ratio is 3 ∶2. What is the volume of this cuboid? 4. There are 42 computer interest groups in a school, of which the ratio of male to female is 4 ∶3. How many boys are there? There are two baskets of fruit, and the fruit in basket A weighs 32kg. After taking out 20% from basket B, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit? 6. Make a 600g bean paste bun, and the ratio of flour, red beans and sugar is 3:2: 1. How many grams of flour, red beans and sugar do you need? 7. Xiaoming read a story book. On the first day, he read 1/9 of the book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book? 8. The ratio of the three internal angles of a triangle is 2:3:4. What are the degrees of these three internal angles? Sixth grade math application problem 3 III. Percentage application problem 1. The output value of a chemical fertilizer plant increased by 20% this year, 5 million yuan more than last year. How much is this year worth? 2. The fruit company stores a batch of apples, and delivers them after selling 30% 160 boxes, which is more than the original apples110. How many boxes of apples are there? 3, a commodity, the original price is 20% less than the current price, the current price 1028 yuan, what is the original price? The interest earned from the education savings is tax-free. Dad saved Xiao Xiao's education savings for three years, with an annual interest rate of 5.40%. Upon maturity, * * * received the principal and interest of 22,646 yuan. What is the principal of the education savings fund that Dad gave Xiao Xiaocun? 5. The clothing store bought two clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money? 6. The father is 43 years old and the daughter is 1 1 year old. A few years ago, my daughter was 20% older than my father. 6, less than 2/5 tons, 20% for () tons, () tons of 30% for 60 tons. 7, a 200-page book, read 20%, and left () pages unread. 40% of the number A is equal to 50% of the number B. The number A is 120 and the number B is (). 8. A factory used 5400 tons of water in the second half of April, saving 20% compared with the first half. How many tons of water were used in the first half of the year? 9. Zhang Ping has 500 yuan money and plans to deposit it in the bank for two years. There are two deposit methods. One is to save it for two years, with an annual interest rate of 2.43%. One is to save it for one year with an annual interest rate of 2.25%. When the first year expires, take out the principal and after-tax interest and deposit it for another year. Which method can I choose to get more after-tax interest? 10. Xiaoli's mother deposited 5,000 yuan in the bank for a year, with an annual interest rate of 2.25%. When withdrawing money, the bank withheld and remitted 20% interest tax. How much interest tax was paid at maturity? 1 1. The flour yield of a wheat is 85%. Grinding 13.6 tons of flour requires this kind of wheat. The sixth grade mathematics application problem 4 Fourth, the application problem of circle 1, draw a circle with a circumference of 12.56 cm, mark the center and radius with letters, and then find out the area of this circle. There is a circular lawn in the school. Its diameter is 30 meters. What is the area of this lawn? If you put a pot of chrysanthemums every 1.57 meters around the lawn, how many pots of chrysanthemums should you prepare? 3. The radius of a circle and a sector is equal, the area of the circle is 30 square centimeters, and the central angle of the sector is 36 degrees. Find the area of the sector. In the distance of 720 meters, the front wheel turns 40 times more than the rear wheel. The circumference of the rear wheel is 2m, so find the circumference of the front wheel. 5. The diameter of the circular flower bed is 10 cm, and there are 2-meter-wide paths around it. What is the area of this path? 6. The school has a circular open space with a diameter of 40 meters. It is planned to build an annular flower bed in the center, and the rest will be paved with 6m wide cement pavement. What is the area of cement pavement? 7. There is a ring. The circumference of the inner circle is 3 1.4 cm, the circumference of the outer circle is 62.8 cm, and what is the width of the ring? 8. The minute hand of the wall clock is 20 cm long. After 45 minutes, how far did the tip of this minute hand move? 9. The hour hand of a big clock is 0.3 meters long. How many meters has the tip of this hour hand traveled in 1 day? How many square meters is the sweeping area? The sixth grade math application problem 5 1, lifeguards and tourists * * * a total of 5 6 people, each rubber boat has the last lifeguard and 7 tourists. How many tourists are there? How many lifeguards are there? 2. Uncle Wang's vegetable field is 800 square meters, ready to grow tomatoes. The rest are planted with cucumber and eggplant according to the area ratio of 2︰ 1. What are the areas of the three vegetables? Form a rectangle with a 28-meter-long iron wire. The length-width ratio of this rectangle is 5:2. What is the length and width of this rectangle? 4. Form a triangle with 84 cm long iron wire, and the length ratio of three sides of the triangle is 3︰4︰5. How many centimeters are the three sides of this triangle? 5. The ratio of degrees of three internal angles of a triangle is 1︰2︰3. What is the biggest angle in this triangle? What triangle is this triangle? 6. The road team needs to build a 432-meter-long road, which has been repaired. The remaining tasks are divided into two road repair teams according to 5︰4. How many meters do the two road repair teams need to repair? 7. In the activity of "learning from Lei Feng", the students in grade five and grade six did 80 good deeds on average, and the ratio of the number of good deeds in grade five and grade six was 3︰5. How many good deeds did the fifth and sixth grade students do respectively? 8. The distance between the two cities is 225 kilometers. A bus and a truck left two cities relatively at the same time and met after 2.5 hours. As we all know, the speed ratio of trucks and buses is 4: 5. How many kilometers do buses and trucks travel per hour? 9. Weld a 282.6 cm long iron bar into a circular iron ring. What is its radius? 10. For round bottom boilers, the circumference of the bottom circle is 1.57m, and what is the bottom area? (The number shall have two decimal places) 1 1. Xiaodong has a bike. The diameter of the wheel is about 66 cm. If the average speed is 100 laps per minute, then the distance from home to school is 4 144.8 meters. How many minutes will it take? 12. The minute hand of the wall clock is 20 cm long. After 30 minutes, how many centimeters did the tip of the minute hand walk? 13. The radius of the circular cowshed is 15cm. How long does it take to circle the cowshed three times? (joints are ignored. ) If a stake is installed every 2 meters, how many stakes will be installed? 14. The range of automatic rotary sprinkler irrigation device on the park lawn is 10 meter. How wide can it spray irrigation? 15. The circular roundabout is 50m in diameter, with a circular flower bed with a diameter of10m in the middle and lawns in other places. What is the area of the lawn? 16. A circular flower bed with a perimeter of 3 1.4m is built in the downtown garden, and a circular path with a width of 1m is built around the flower bed. What is the area of this path? 17, Xiaoming bought stamps with 50 cents and 80 cents *** 16, and * * * spent them 10.7 yuan. How many stamps does Xiao Ming buy each? In 2002, China Academy of Sciences and China Academy of Engineering had a total of 1263 academicians, including male academicians 1 185. What percentage of academicians are women? 19, Team A and Team B dig canals. It takes 8 days for Team A to dig alone, and it takes 12 days for Team B to dig alone. Now, after two teams dug for a few days at the same time, team B was transferred, and the remaining team A finished digging in three days. Bravo team dug for a few days. There is a two-digit number, and the sum of its digits is 7. If you subtract 27 from this number, the number you get is exactly the reverse order of the number. Find this number. Sixth grade math application problem 6 1, a rope is 4/5 meters long. First,1/4m is needed, and then1/4m is needed. How many meters does a * * * need? There are 50 goats, 3 more than 4/5 goats. How many sheep are there? 3. Read a book with 120 pages. You read the whole book 1/3. How many pages are exactly 5/6 of the whole book? 4. A bottle of oil is 4/5 Jin, and 3/ 10 Jin has been used. 1/2 how many kilograms of oil does it take? 5. A bag of rice 120kg. On the first day, you eat 1/4, and on the second day, you eat the rest 1/3. How many Jin did you eat the next day? 6. For a batch of goods, one car can transport 1/8 at a time, and how many parts can be transported four times? If the cargo weighs 1 16 tons, how many tons have been shipped? 7. A factory used 28 tons of water in September,1planned saving in October 1/7. /kloc-How many tons do you plan to save in October? 8. The base of parallelogram is 24 meters long and its height is 3/4 of the base. What is its area? 9. Human blood accounts for113 of body weight, about two-thirds of blood is water, and dad's weight is 78kg. How many kilograms is his blood? 10, Grade 6 students participated in tree planting, boys planted 160 trees, and girls planted 5 more trees than 3/4 boys. How many trees do girls plant? 1 1. The number of students in the fourth grade of Guangxin Primary School is 4/5 of that in the fifth grade, and that in the third grade is 2/3 of that in the fourth grade. If the number of students in grade five is 120, how many are there in grade three? 12, two cars A and B leave from A and B at the same time, with a distance of 420km. After 5 hours, A walked 3/4 of the whole journey and B walked 2/3 of the whole journey. How many kilometers are the two cars apart? 13, 120 trees were planted in grade five, and the number of trees planted in grade six was 7/5 of that in grade five. How many trees were planted in the fifth and sixth grades? 14. A road of 12/5km was built. 2/3km was built in the first week and 1/3 was built in the second week. How many kilometers were built in two weeks? 15. A highway is 7/8 kilometers long. 1/8km was built on the first day. How many kilometers will the total length of 1/2 be more? 16, Xiaohua read a 96-page story book. The first day he read 1/4, and the next day he read 1/8. How many pages have you read in two days? 17. A book has 150 pages. On the first day, Xiao Wang read110, and on the second day, he read115. Which page should he start from on the third day? 18, the school transported 2/5 tons of cement, and the yellow sand transported was 5/8 of the cement, which was 1/8 tons more. How many tons of yellow sand were shipped? 19, Xiao Wei and Xiaoying contributed 2 :5 to Project Hope. Xiaoying donated 35 yuan. How much did Xiao Wei donate? The TV factory plans to increase its output by two-fifths this year compared with last year. Last year,1/50,000 TV sets were produced. Tens of thousands of TV sets are planned to be added this year? The sixth grade math application problem 7 1, a village wants to dig a canal with a length of 2700 meters, and has already dug 1050 meters. How many meters does it take to dig two thirds of this canal? 2. Young Pioneers in a school collected tree species, the fourth grade 1/2kg, the fifth grade was more than the fourth grade 1/3kg, and the sixth grade was 6/5 more. How many kilograms of tree species were collected in the sixth grade? The warehouse shipped 240 tons of rice, 5/6 tons of soybean and 3/4 tons of flour. How many tons of flour were delivered? 4. A basket of apples is 9/ 10 Jin, and a basket of apples is 1/9. Party A and Party B are equal. How many kilograms do you want for a basket of apples? 5. Two-thirds of a barrel of oil was poured out, just 36 kilograms. How many kilograms was there in this barrel of oil? 6. Two engineering teams, Team A and Team B, built a 360m road, and the length ratio of Team A and Team B was 5: 4. How many meters did Team A build more than Team B? 7. The number of workers in the first workshop of garment factory is 150, and the number of workers in the second workshop is 2/5 of that in the first workshop. The number of workers in the two workshops is just 5/6 of the total number of factory workers. How many workers are there in the whole factory? 8. A batch of fruits 120 tons, of which pears account for 2/5 of the total and apples account for 4/5. How many kilograms of apples are there? 9. The sum of numbers A and B is 120. Give 1/3 of A and B, and the ratio of A to B is 2:3. What is the original A? 10, Xiaohong collected 24 specimens, and after giving Xiao Fang 4 specimens, Xiaohong was just 4/5 of Xiao Fang. How many specimens does Xiao Fang have? 1 1, and two barrels of oil * * * weigh 27kg. After 2 kg of oil was used in the big barrel, the weight ratio of the remaining oil to the small barrel oil was 3: 2. How many kilograms of oil was there in the barrel? 12. The length of a cuboid is 144 cm, and the ratio of length to width to height is 4:3:2. What is the volume of a cuboid? 13, Xiaohong has 60 stamps, Xiaoming has 40 stamps, and how many stamps does Xiaohong give to Zhang Xiaoming? The stamp ratio between them is 1: 4? 14, Wang Hua walked from home to school at a speed of 4 kilometers per hour, and it took 1/6 hours to complete two-thirds of the whole journey. How far is Wang Hua's home from school? 15, 3 looms weave 72 meters in 3/2 hours. How many meters does each loom weave on average per hour? 16. How many meters can a car travel with 9/2 kilometers and 9/25 liters of gasoline? 17, there is a triangular iron sheet with an area of 3/5 square meters. Its bottom is 3/2 meters. How many meters is its height? 18, the fruit shop delivered 50 baskets of pears and apples, of which the number of pears was 2/3 of that of apples. How many baskets of pears and apples have been sent? 19. A right triangle is surrounded by a 24 cm wire. The ratio of the lengths of the three sides of this triangle is 3: 4: 5. What is the area of this right triangle? What is the height of the hypotenuse in centimeters? 20. The circumference of a rectangle is 49 meters, and the ratio of length to width is 4: 3. What is the area of this rectangle? The sixth grade math application problem 8 1. Two people, A and B, walked past A and B at the same time. A walks 100 meters per minute, and the speed ratio with B is 5: 4. Five minutes later, they just walked three-fifths of the distance. How many meters is there between A and B? 2. A primary school expanded its school building and originally planned to invest 280,000 yuan. The actual investment is less than the original plan 1/7. What is the actual investment? 3. The toy factory planned to produce 2000 game machines, which actually exceeded110. How much was actually produced? A wire is 40 meters long. First 3/8 meters, then 3/8 meters. How many meters is left in this wire? 5. The price of a book first increases 1/6, and then decreases 1/6. Is this book high in original price or current price? 6. A book is *** 100 pages. Xiao Ming reads 1/5 on the first day, 1/4 on the second day and the rest on the third day. How many pages did he read on the third day? 7. Compared with September, bright primary school1October saved 72 tons of water 1/9 and 10. How many tons of water was saved in September? 8. Build a highway. After 3/7 of the total length, there is still 1.7 meters from the midpoint of this highway. How long is this road? 9. There are 60 computers in bright primary school, more than Ai Wu primary schools 1/5. How many computers are there in Ai Wu primary school? 10. There are 60 computers in bright primary school, which is less than that in Ai Wu primary schools 1/5. How many computers are there in Ai Wu primary school? 1 1, eat a bag of rice for two weeks, the first week 1/3, and the second week is 5 kg more than the first week. How much does this bag of rice weigh? 12, Xiao Ming reads a book, and the number of pages he has read is 3/2 of the number of pages he has never read. He reads 30 pages, and the number of pages he has read is 7/3 of the number of pages he has never read. How many pages are there in this book? 13. The number of white rabbits raised in the feeding group is 3/5 of that of small gray rabbits, and there are 24 more small gray rabbits. How many rabbits are there? 14. A fishing boat catches1200kg in the morning, less than in the afternoon 1/7. How many kilograms can it catch a day? 15, a barrel of oil, poured out for the first time 15, poured out for the second time15 kg, and poured out for the third time13, leaving 25/3 kg. How many kilograms is this barrel of oil? 16, one road has been repaired with the total length of13. If you build 60 meters, you will build half of its total length. How long is this road? 17. There are 480 cows in the pasture, more than last year 1/5. How much more than last year? 18, a piece of material, it takes 3 hours for Party A to finish typing alone, and 5 hours for Party B to finish typing alone. How many hours do Party A and Party B play together to finish half of this material? 19, a multifunctional cleaning teacher, students in group a can finish cleaning in13 hours, and students in group b can finish cleaning in14 hours. If Party A and Party B work together, how many hours can they clean the whole classroom? 20. A project was completed by Party A in 0/8 days and Party B in 0/5 days. Both parties made joint efforts, but Party A took a leave of absence for 4 days. So how many days did Party A actually complete the task? The sixth grade math application problem 9 1. There is a batch of parts, 12 days for both parties to process, 9 days for both parties to process, 18 days for both parties to process and three people to process at the same time. How many days can it be finished? Xiaoming can buy 12 pencils or 4 erasers with his money. He bought three pencils first, how many erasers can he buy with the rest of the money? 3. Processing a batch of parts. On the first day and the second day, 2/9 of this batch of parts was completed. On the third day, 80 parts were processed, just finishing the processing task. How many parts are there in this batch? This TV factory planned to produce 5000 TV sets in May, but actually produced 6000 TV sets. What percentage did it exceed? 5. The original price of a computer is 6800 yuan, and now it is reduced by 1700 yuan. What is the percentage reduction? 6. For a section of road, it takes 20 minutes for Party A to complete the journey, and 15 minutes for Party B to complete the journey. What's the Internet speed of Party A? 7. A manuscript was originally planned to be copied in five days, but it was copied in four days. What percentage has the actual work efficiency improved over the plan? 8. Take out 1/5 from the coal in pile A and give it to pile B. At this time, the weights of the two piles of coal will be equal. How much is the weight of raw coal in pile B less than that in pile A? Class 9.6 (1) has 32 boys and 28 girls. Class 6 (2) is 95% of Class 6 (1). How many students are there in Class Six (2)? 10, a scarf, if sold at 100 yuan, you can earn 25%, if sold at 120 yuan, what percentage can you earn? 1 1, bought 55 footballs, and bought 20% less basketball than football. How many basketballs are there? 12, a pile of sand, the first time 40%. The second shipment is 30%, leaving 48 tons. How many tons is this pile of sand? 13. A flour mill can grind 13000 kg of flour with 20 tons of wheat. Find the flour yield of wheat? 14. In100g of water, add 25g of salt. What's the salt content of this brine? 15, the oil yield of a rapeseed is 33%, if you want to squeeze out 100 kg rapeseed oil. How many kilograms of rapeseed are there at least? 16,200 parts were processed in Li Shifu, and 4 parts were rejected after inspection. What's the pass rate? According to this calculation, how many parts are unqualified after processing 700 parts? 17, Xiaohong's father deposited 5,000 yuan into the bank's current savings with a monthly interest rate of 0.60%. How much after-tax interest did he get after four months? How much principal and interest can I get back 18, Mr. Wang's monthly salary 1450 yuan, and personal income tax will be levied at 5% for the part exceeding 1200 yuan. What is Mr. Wang's monthly salary after tax? 19. The original price of a basketball 180 yuan is now sold at 75% off the original price. What's the current price of this kind of basketball? How much cheaper is each? Li Dan's family harvested 300 kilograms of corn last year and 249 kilograms the year before last. Last year, corn production increased by several percentage points over the previous year. The sixth grade math application problem 10 1. Mingming bought a calculator in the shop, and 68 yuan got a 15% discount. What is the original price of this calculator? Xiaohua's family harvested 4000 kilograms of rice the year before last. Last year, due to pests, the output decreased by 35% compared with the previous year. How many Jin of rice did Xiaohua's family collect last year? 3. The current price of a commodity is 18 yuan, with a loss of 25%. How much is the loss? If you want to make a profit of 25%, how much should you sell it? 4.30 kg of salt water with a salt content of 10%. How many kilograms of salt can be added to make salt water with a salt content of 25%? 5. The original price of a leather coat is 1800 yuan, but now it has been reduced. What's the discount on products sold in 270 yuan? 6. The insurance company has 120 employees, of which male employees account for 50% of female employees. How many male employees are there in this insurance company? 7. An engineering team built 600 meters on the first day, 20% of the total length on the second day and 25% on the third day. At this time, 75% of the total length was repaired. What is the total length of this highway? 8. Xiaojun bought a set of discounted clothes at the price of 72 yuan, which was cheaper than the original price by 8 yuan. How much is the discount on this suit? 9.1520kg salt water has a salt content of 25%. How many kilograms of water need to be evaporated to turn these brine into brine with a salt content of 50%? 0. The toy store sells two kinds of toys at the same time, the price is 120 yuan, one can earn 25% and the other can lose 25%. If these two toys are sold at the same time, is it a loss or a profit? If so, how much will it cost? If so, how much will it cost? 1 1 .314m round fish pond. What is the area of this fish pond? 12. A round vegetable field with a diameter of 20 meters. Now, how many square meters of plastic film are needed to cover vegetable fields? If the film price per square meter is 0.5 yuan, how much do these films cost? 13 The outer diameter of the bicycle wheel is 70cm. If the wheels rotate 100 cycles per minute on average, it takes about 25 minutes to get from Wangzhigang Town to Baoying County. How many kilometers is it from Wangzhigang Town to Baoying County? 14. Build a canal with a length of 1800 meters. After five days' work, the repaired canal accounts for13 of the unrepaired canal. According to this schedule, how many days will it take for the canal to be completed? 15, the sixth grade math interest group activity, the students didn't participate in 3/7, and then 30 people participated, so the students didn't participate in 2/3, how many people were there in the sixth grade? 16, 5/6 of the school art group is just 5/8 of the science and technology group. It is known that there are 24 people in the art troupe. How many people are there in the science and technology team of this school? 17, transport a batch of chemical fertilizer 25% first, and then transport 18 tons. At this time, 45% did not ship. How many tons of chemical fertilizer are there? 18. The school enclosed a rectangular vegetable field with a 40-meter-long iron wire (excluding joints). The width of the rectangle is known as 1/4. What is the area of this vegetable field in the school? 19. Build a canal with a length of 1800 meters. After five days' work, the repaired canal accounts for13 of the unrepaired canal. According to this schedule, how many days will it take for the canal to be completed? The speed of a car is seven-quarters that of a train. At the same time, two cars drove in opposite directions from two places and met at the midpoint of the distance 15km. How many kilometers has the train traveled?