In the junior high school mathematics exam, the application question is the most comprehensive question in the whole paper. The best way to improve the ability of solving mathematical application problems is to do it! Let me sort out the application questions, hoping to help everyone!

I. Application of the equation

1. The planned investment of the school building is 450,000 yuan, and the actual investment is 400,000 yuan. What percentage has the actual investment saved?

2. The school planned to use 480 degrees of electricity in May, but actually used 60 degrees less. What percentage of electricity was actually saved? (Fujian Xiao Yun Primary School)

A factory planned to produce 400 TV sets in March, but actually produced 250 TV sets in the first half and 230 TV sets in the second half. What is the actual percentage of exceeding the plan? (Nanchang qingyunpu district)

4. At present, there are three water pipes, A, B and C. The water pipe A flows out the salt water with a salt content of 20% at a flow rate of 4g per second, B flows out the salt water with a salt content of 15% at a flow rate of 6g per second, and C flows out at a flow rate of 10g per second. After the pipe C is opened, stop the flow for 2 seconds, then flow for 5 seconds, then stop the flow for 2 seconds, then flow for 5 seconds ...

There are 75 students in the painting and calligraphy class and 48 students in the dance class in Guangxin Primary School. What percentage of painting and calligraphy classes are more than dance classes? (Nanning)

6. Xiaoming experimented with a bag of mung beans, among which there were 100 germinated seeds and 25 non-germinated seeds. Find the germination rate of this bag of mung beans. (Wenling City, Zhejiang Province)

8. For the disaster area, Xiaohua donated 4.2 yuan, 0.4 yuan more than Xiaoli. How much did Xiaohua donate more than Xiaoli? (Anyang City, Henan Province)

9. A dress was sold at a 20% discount 100 yuan, which was actually sold in 90 yuan. What is the actual discount? (Xianju County, Zhejiang Province)

10. The canteen sent 600 kg of rice, which has been eaten for 4 days, 50 kg per day. How many Jin do you eat every day for the remaining five days? (Nanjing jianye district)

1 1.3 boxes of oranges are 24 kilograms less than 3 baskets of apples. On average, each box of oranges weighs 20 kilograms, and how many kilograms does each basket of apples weigh? (Taizhou City, Zhejiang Province)

12. In the activity of collecting tree species for greening the motherland, 20 kilograms of tree species were collected by five classes in grade four and 60 kilograms by three classes in grade five in a school. How many kilograms of tree species were collected in each class on average? (Shanghai)

13. Da Qiao Town built a canal with a length of 2 100 meters, which lasted for 5 days, with an average of 240 meters per day. The remaining tasks should be completed within 3 days. How many meters do you need to repair every day on average? (Qinhuai District, Nanjing)

14. Xiaoming went to the store to buy three mini-soccer balls and gave them 20 yuan. He got back 1.85 yuan. How much is each football? (Yinchuan Experimental Primary School)

15. There are 4 teams in one class, and each team has 12 young pioneers. In the donation activity of "Project Hope", * * * donated 240 yuan. How much does each young pioneer donate on average? (Shanghai)

16. Yucai Primary School bought 2 small soccer balls and 25 long ropes, which cost 408.5 yuan. The price of each small football is 48 yuan. What's the price of each long rope? (nanchang district, Wuxi City, Jiangsu Province)

17. Wang Hua bought five copies of Interesting Mathematics and five copies of Story King, and bought one with 20 yuan. How much is each copy of interesting mathematics, 2.6 yuan and Story King? (Yanta District, Xi City)

18. The convoy has to transport 89 tons of goods, and the first three times each transport 10.5 tons. The rest will be shipped in five installments. How many tons per shipment on average? (Shanghai)

19.4 students play singles on the table tennis table for 60 minutes. How many minutes did each student play on average? (Jian 'ou City, Fujian Province)

20. The average score of Chinese, mathematics and common sense in the final exam is 95, and the average score of Chinese and mathematics is 93. Q: How many points did you get in the common sense exam? (Jiangshan City, Zhejiang Province)

Class 2 1.5 (1) planted trees, with 6 trees for 26 boys and 5 trees for 24 girls. How many trees do boys and girls plant on average? (donghu district, Nanchang)

22. Dong Li used 5 yuan money to buy stationery. He has spent 1.5 yuan to buy pencils, and the rest of the money is used to buy exercise books, each of which is 0.35 yuan. How many exercise books can he buy? (Shanghai Changqing School)

23. If a batch of apples are divided equally among the children in the kindergarten class, each person can get 6 apples; If it is divided equally among the children in the kindergarten class, each person can get 3; How much can each child get if it is divided equally between the big class and the small class? (Nanjing jianye district)

24. Shixin Watch Factory originally planned to produce 75 watches every day, and completed the task in 12 days. It takes 10 days to actually complete the task. How many pieces are actually produced every day on average? (Wuhan Qingshan School)

25. The experimental primary school carried out the activity of "planting potted flowers in environmental protection week". Plant 1 14 pots every day for the first three days, and plant 750 pots in the last four days. How many potted flowers are planted every day during "Environmental Protection Week"? (Changsha Experimental Primary School)

The remaining 7.5 hours need to be cultivated. How much farmland is plowed per hour on average? (Yangxin County, Hubei Province)

27. A loom weaves105m in 7 hours. How many meters can a loom weave in eight hours at this speed? (Lin 'an City, Zhejiang Province)

28. A car travels for 3 hours 135 km. According to this calculation, how many kilometers do you drive in 8 hours? (Guilin, Guangxi)

29. 120 kg of soybean can squeeze out 16.2 kg of soybean oil, and how many kg of soybean oil can be squeezed out of 2000 kg of soybean? (Using Proportional Solution) (Taishun County, Zhejiang Province)

30. Two mills in a processing plant can grind 14.4 tons of flour in 3 hours. According to this calculation, how many tons of flour can six mills grind in 8 hours? (Jian 'ou City, Fujian Province)

3 1. A garment factory received the task of producing 1200 shirts, and completed 40% in the first three days. According to this calculation, how many days will it take to complete the task? (Write two different solutions) (Shouchun School in Hefei Central District)

32. An engineering team wants to pave an expressway, which has been paved for 2.8 kilometers in the first 20 days. According to this calculation, how many days will it take to pave the remaining 4.2 kilometers? (Solving by Proportional Method) (Linhai City, Zhejiang Province)

33. Harvest Farm Tools Factory produces a batch of sickles. It was originally planned to manufacture 360 pieces every day, which was completed in 18 days. In fact, there are 72 more every day. According to this calculation, how many days will it take to complete the task? (Qingshan District, Wuhan)

Changfeng electric fan factory plans to produce 2800 electric fans. 672 units have been produced in the first six days. According to this calculation, how many days will it take to complete the task? (baixia district, Nanjing)

35. The school-run factory of Yumin Primary School originally planned to bind 2 1600 exercise books every day, but actually 360 more exercise books were bound every day than originally planned. How many days did it take to actually complete the production task? (Hongqiao District, Tianjin)

Xiaoqing reads a 260-page story book. She read 20 pages a day for the first three days. If the rest read 25 pages a day, how many days will it take? (Chengzhong District, Xining City)

37. The school bought 342 meters of plastic rope for short jump rope. First, cut five pieces of the same length, one piece is 9 meters. According to this calculation, how many plastic ropes can be used for short skipping? (Gulou District, Nanjing)

38. The unit price of two baskets of apples is the same. The apples in basket A weigh 64kg, and those in basket B weigh 48kg. After the two baskets are sold out, the remaining apples weigh the same. As we all know, basket B sells fewer apples than basket A, 56 yuan. How much can basket a sell for? (Shouchun School in Hefei Central District)

39. Shixin Watch Factory originally planned to produce 1000 watches in 25 days, but actually produced 50 watches every day. How many days did it actually finish the task ahead of schedule? (Kaifeng City, Henan Province)

40. The TV factory planned to produce 1200 TV sets in 30 days, but in fact, it produced 10 more TV sets every day than planned. How many days did it actually complete the task? (Dongyang City, Zhejiang Province)

4 1. The clothing factory wants to process a batch of school uniforms. It was originally planned to produce 250 sets a day, which could be completed in 30 days. In fact, it produces 300 sets every day. How many days did it actually take? (Answer in proportion) (Jingdezhen City, Jiangxi Province)

42. A batch of goods was originally planned to transport 65,438+08 tons per day, and the transportation was completed in 84 days. Actually, it needs to transport 2 1 ton every day. How many days does it actually take? (Solved in proportion) (Yinchuan No.21 Primary School)

43. The assembly team will assemble a batch of washing machines. It is planned to assemble 27 washing machines every day and complete the task in 20 days. Actually, 30 sets are assembled every day, and it only takes a few days to complete the task. (Beitang District, Wuxi City, Jiangsu Province)

44. The canteen of Daqing Primary School delivers 24 tons of coal, and it is planned to burn for 50 days. Actually saving 0.08 tons per day, how many days did it actually burn? (Yueqing City, Zhejiang Province)

45. The workshop produces a batch of parts, and 65 sets are produced every day. After 12 days of production, there is still a shortage of 130 sets. How many sets of parts are there in this batch? (Landslide Road Primary School, Jianghan District, Wuhan)

46. I hope that primary schools will decorate multimedia classrooms. It is planned to use glazed square bricks with a side length of 30 cm to pave the floor, which needs 900 pieces. How many pieces do you actually need to use square marble with a side length of 50 cm to pave the floor? (Answer with proportional knowledge) (donghu district, Nanchang)

47. To bind a batch of identical exercise books, it was originally planned that each book should have 16 pages, and 250 volumes can be bound. If 200 books are bound, how many pages should each book have? (Proportional solution) (Guilin, Guangxi)

48. The garment factory originally planned to make 120 suits, each with 4.8m cloth. After improving the cutting method, each suit saves 0.3 meters of cloth. How many suits can you make with the saved cloth? (Shanghai Changqing School)

49. The master processes 192 parts more than the apprentice. It is known that the number of parts processed by the master is four times that of the apprentice. How many parts do the master and apprentice process respectively? (Equation Solving) (Yinchuan No.21 Primary School)

50. Hong Guang Farm Tools Factory produced 600 farm tools in May, 25% more than in April. How many farm tools did it produce in April? (Qingshan District, Wuhan)

Second, the application of comparative law

1. The circumference of a rectangle is 24 cm, and the length-width ratio is 2: 1. How many square centimeters 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?

Third, the percentage of application problems.

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. The principal of the education savings fund that Dad gave Xiao Xiaocun.

how much is it?

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. A number 40%, B number 50%.

Equal, 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 _ _ _ _ tons of such wheat.

Fourthly, the application of circle.

1, draw a circle with a perimeter of 12.56 cm, mark the center and radius with letters, and then find the circle.

Area.

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?

Fifth, the application of scores.

1, a tank of water, used 1/2 and 5 barrels, with 30% left. How many barrels of water are there in this tank?

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?

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