Current location - Training Enrollment Network - Mathematics courses - This is math.
This is math.
1. The purchase price of a suit in a store is 200 yuan. If it is sold at 80% of the list price and can make a profit in 72 yuan, then the list price of this suit is RMB.

2. The price tag of a commodity is lost, and the salesman only knows that "its purchase price is 80 yuan, and after selling it at a 30% discount, it can still make a profit of 5%". Do you think the price that the salesperson should indicate on the tag is RMB?

3. The store will increase the cost price of a commodity by 50% and then sell it at a 20% discount, making a profit of RMB _ _ _ _ _ _.

4. Each book is priced at 8 yuan. If the number of books purchased does not exceed 10, the original price shall be paid; If you buy more than 10 at one time, the part that exceeds 10 will be 20% off. If the number of books purchased at one time is RMB, please fill in the following table:

X (Ben) 2 7 10 22

Yuan 16

During May Day, the department store offered a 20% discount for the whole audience. With a VIP card, you can continue to discount on the basis of 20% discount. Xiao Ming's mother bought a product with a price of 10000 yuan with a VIP card, and saved 2800 yuan. She can still enjoy the discount with a VIP card.

6. As shown in the figure, two iron bars stand upright in a horizontal barrel at the bottom of the barrel. After adding water to the bucket, the length of one exposed to the water is its own, and the length of the other exposed to the water is its own. The sum of the lengths of the two iron bars is 55 cm, and the depth of the water in the bucket is cm.

7. The ticket prices of the park are shown in the table below. If there are 27 middle school students visiting the park, they must pay at least _ _ _ _ _ _ _ _ _ yuan. Visitors can only buy tickets at the park ticket office. )

The number of tickets purchased is1~ 29,30 ~ 60,60 or more.

The price of each ticket is 10 yuan, 6 yuan and 8 yuan.

It is the duty of every citizen to pay taxes according to law. The new Individual Income Tax Law of People's Republic of China (PRC) stipulates that from March 1 day, 2008, citizens' monthly salary is not taxable, and the part exceeding 2,000 yuan is the monthly taxable income, which is calculated progressively according to the following table. Mr. Huang paid personal income tax in April, so Mr. Huang paid 55 yuan this month.

9. A store deals in an aquatic product, and the cost is that each kilogram of aquatic product is in 40 yuan. According to market analysis, if it is sold in 50 yuan per kilogram, it can sell 500 kilograms a month; Every time the sales price increases by 1 yuan, the monthly sales volume decreases by 10 kg. In view of the sales situation of this aquatic product, when the sales unit price is set at RMB, the profit is the largest.

10, a school conscientiously implemented the "three regulations" issued by Suzhou Education Bureau, and the campus life was rich and colorful. From 4 pm to 5 pm on Tuesday, 240 senior two students participated in art, music and sports activities respectively. Among them, the number of people who participated in sports activities was three times that of those who participated in art activities, and the number of people who participated in music activities was twice that of those who participated in art activities, so the number of people who participated in art activities was _ _ _ _ _.

1 1. The shopkeeper can only sell the goods at a profit of not less than 20%, but in order to get more profits, he marks them at a price higher than 80% of the purchase price. If you want to buy this 360 yuan-priced product, the shopkeeper will only sell it if the price is reduced by at most _ _ _ _ _.

Second, short answer questions

12, "home appliances to the countryside" farmers get benefits. Zheng Xiao, a villager, bought a double-door refrigerator. After deducting 13% of the government financial subsidy, he deducted 100 yuan from the shopping mall, and actually only spent 1.726.5438+03 yuan, so he bought it.

13. In order to implement the spirit of the State Council's instructions on promoting home appliances to the countryside, the relevant departments began to carry out pilot projects of home appliances to the countryside at the end of June 2007, and gave 13% direct financial subsidies to the sales prices of color TVs, refrigerators (including freezers) and mobile phones. According to enterprise data, as of the end of June 2008,

(1) What was the sales volume of household appliances of the pilot products in the same period in 2007?

(2) If the average price of selling household appliances is: each color TV 1.500 yuan, each refrigerator is 2000 yuan, and each mobile phone is 10000 yuan, and the number of refrigerators (including freezers) sold is known to be twice that of color TV, how many sets (sets) of color TV, refrigerators and mobile phones are sold respectively, and how many yuan of government subsidies are calculated respectively?

14. A student canteen stores 45 tons of coal. After five days of use, due to the improvement of equipment, the average daily coal consumption is reduced to half of the original, and the combustion is 10 day.

(1) How many tons of coal are consumed per day on average after the improvement of the equipment?

(2) Try to adapt the content of this question to our daily life and study, and make the listed equations the same or similar (no need to solve).

15. Since the implementation of new traffic management measures in Beijing, the passenger volume of urban public transport has increased significantly. According to statistics, from 2008 10, 1 1 to February 28th, 2009, the average daily total passenger volume of ground bus and rail transit was16.96 million.

17. During May Day, Xiaoming, Liang Xiao and other students went to the park to play with their parents. The following is a conversation between Xiao Ming and his father when they buy tickets (pictured). Try to answer the following questions according to the information in the picture:

According to statistics, by the end of 2008, Yiwu had 267,000 mu of cultivated land and a registered population of 724,000. From the end of 2004 to the end of 2008, the registered population increased by about 2% every two years on average, assuming that this growth rate will continue in the next few years. (The calculation result of this question is accurate to one place)

(1) What is the estimated registered population of Yiwu at the end of 2012?

(2) In order to ensure that the per capita cultivated land area in Yiwu is not lower than the current level by the end of 20 12, it is estimated that the average annual total cultivated land area will increase by at least how many mu from the end of 2008 to the end of 20 12?

On May 22nd, 2009, 19, "China Mobile Cup" was held in Jishou. In order to organize this activity, China Mobile Jishou Company had previously spent1200,000 yuan. The ticket prices for this competition are 80 yuan, 200 yuan and 400 yuan. It is known that 2000 copies from 80 yuan and 1800 copies from 200 yuan have all been sold out.

20. Company A sells three products, A, B and C. In last year's sales, the sales amount of high-tech product C accounted for 40% of the total sales amount. Due to the impact of the international financial crisis, the sales amount of products A and B will be reduced by 20% this year, so high-tech product C is the focus of this year's sales. If the total sales this year is the same as last year, the sales of high-tech product C should increase by%.

2 1. A city produces an average of 700 tons of garbage every day, which is treated by two garbage treatment plants, A and B. It is known that Factory A can treat 55 tons of garbage per hour, which requires 550 yuan, and Factory B can treat 45 tons of garbage per hour, which costs 495 yuan.

(1) How many hours does it take for Factory A and Factory B to treat the garbage in this city at the same time?

(2) If it is stipulated that the daily cost of garbage disposal in this city should not exceed 7370 yuan, how many hours does it take for a factory to dispose of garbage every day?

Third, multiple choice questions

22. Home appliances going to the countryside is an important measure for China to cope with the current international financial crisis, benefit farmers and strengthen agriculture, promote industrial production, promote consumption and stimulate domestic demand. According to the national regulations, farmers will get a subsidy of 13% of the sales price when they buy home appliances to the countryside. On May 65 this year, at 438+0, a shopping mall sold 20 mobile phones of some household appliances to farmers. It is understood that these 20 mobile phones were sold from a shopping mall.

(A) (B)

(C) (D)

23, a shopping mall to adjust the price of a commodity, according to the original price of 20%, still can make a profit 10%, the original price of the commodity is 2200 yuan, the purchase price of the commodity is ().

A. 1540 yuan B. 1600 yuan C. 1690 yuan D. 1760 yuan.

24. Volunteer A plans to finish some work in the community within a few working days. From the third working day, volunteer B will join the work, and their work efficiency is the same. Therefore, the task will be completed three days in advance, so the number of days that Volunteer A plans to complete the work is

A.8 B.7 C.6 D.5

25. The purchase price of a commodity is 800 yuan, and the price is 1200 yuan. Due to the backlog of this commodity, the store is prepared to sell it at a discount, but to ensure that the profit rate is not less than 20%, at least a discount of () can be given.

A, 60% off B, 70% off C, 80% off D, 10% off

26. The unit price of a beverage is less than 1 yuan, and Xiaofeng bought two bottles of a beverage and three bottles of a beverage, and spent 13 yuan. If the unit price of a beverage is RMB/bottle, then the following equation is correct ().

A.B.

C.D.

27. If a bookstore sells a new book at 10% of the list price, it can still make a profit of 20%. If the purchase price of the book is 2 1 yuan, the price tag is ().

A.26 yuan, 27 yuan, 28 yuan and 29 yuan

28. A clothing manufacturer sells two sets of clothing at the same time, each set 168 yuan. In terms of cost, one set made a profit of 20% and the other set lost 20%. This time, the seller sells ().

A. Don't earn or lose B. Lose 14 yuan C. Earn 14 yuan D. Earn 37.2 yuan.

29. Xiaoming intends to donate money for Project Hope. Now he has 20 yuan, and plans to deposit 10 yuan every month. If he can donate 100 yuan after X, the following equation can correctly calculate X ().

a . 10x+20 = 100 b . 10x-20 = 100 c . 20- 10x = 100d . 20x+ 10 = 100

30. This year, the Ministry of Finance adjusted the stamp duty rate of securities transactions from 3‰ to 1‰( 1‰ means one thousandth). If someone buys a stock of 100000 yuan after adjustment, how much is the stamp duty on securities transactions less than before adjustment?

A.200 yuan B.2000 yuan C. 100 yuan D. 1000 yuan.

3 1, Xiao Ning bought 20 exercise books, and the shopkeeper gave him a 20% discount (that is, 20% off the list price). The result is cheaper 1.60 yuan, so the marked price of each exercise book is ().

A 0.20 yuan B 0.40 yuan C 0.60 yuan D 0.80 yuan

32. There is a shop that sets the price of a certain commodity at the purchase price plus 20%, but it can't be sold. Later, the boss reduced the price by 20% according to the pricing, which was sold in 96 yuan and sold out soon. Then the profit and loss of this business is ().

A. Earn 6 yuan B. Don't lose money, don't earn C. Lose 4 yuan D. Lose 24

33. If the wire with a length of 1 meter is cut from a coil of wire with uniform thickness, and its mass is called grams, then the mass of the rest of the wires is called grams, then the total length of this coil of wire is ().

American asset management company

Administration of chemical drugs

Fourth, the calculation problem

34. From Xu Cong to Nanjing, you can take the A train and the B train. It is known that the mileage from Xuzhou to Nanjing is about 350km. The ratio of the average speed of the A train to the B train is10: 7, and the driving time of the A train is less than that of the B train1h. What are the average speeds of the two trains?

35. At the beginning of 2008, there was a snowstorm in the south of China, and the power lines in a certain place were crushed by snow. The maintenance team of the power supply bureau had to go to the suburbs 30 kilometers away for emergency repair. The repairman rides the motorcycle first, 15 minutes later, the repair vehicle is loaded with the required materials and set off. As a result, the two cars arrived at the maintenance point at the same time. It is known that the speed of emergency repair vehicle is 1.5 times that of motorcycle. Find the speed of two cars.

36. The distance between A and B is 176 km, and one of them is blocked by landslide. Two engineering teams, A and B, were ordered to set out from A and B at eight o'clock in the morning to clear the road at the landslide site. 10, Team A arrived and started work immediately. Team B arrived half an hour later and quickly went into battle.

(1) If the road damaged by the landslide is 1 km long, the speed of Team A is 5 km more than that of Team B, so find the speed of Team A and Team B;

(2) Assuming that the two teams finish the task of dredging the highway at 4 pm and meet each other smoothly, if only the second engineering team dredges this section of the highway, how long will it take to complete the task?

37、5? 12 Wenchuan earthquake caused landslides to block the valley, and many dammed lakes were formed. According to CCTV, Tangjiashan dammed lake is the most dangerous. In order to eliminate the danger as soon as possible, it is decided to dig a drainage groove on the surface of the blockage. After calculation, it is necessary to excavate earthwork134,000m3. After two days of excavation, in order to speed up the construction progress, a large number of personnel and equipment have been added, and the earthwork dug every day is twice as much as the original.

According to the above information, how many million cubic meters of earthwork do you plan to dig every day? Tens of thousands of cubic meters of earth and stone will be dug every day after additional personnel and equipment are added?

38. "Earthquakes are merciless." The Civil Affairs Bureau packaged the materials donated by the whole city for the disaster-stricken areas in Sichuan into pieces, including 320 tents and food, and 80 tents were more than food.

(1) How many tents and food do you want to pack?

(2) It is planned to rent 8 trucks A and B to transport all tents and food to the disaster area at one time. It is known that A's truck can hold up to 40 tents and 10 food, and B's truck can hold up to 20 tents and food. How many schemes does the Civil Affairs Bureau have when arranging the trucks of A and B? Please help design it.

(3) Under the condition of (2), if Class A freight car needs to pay 4000 yuan and Class B freight car needs to pay 3600 yuan, which scheme should the Civil Affairs Bureau choose to minimize the freight? How much is the minimum transportation fee?

39. A supermarket sells a calculator from 48 yuan. Later, the purchase price of the calculator decreased, but the price remained unchanged, which increased the profit of selling this calculator in the supermarket. What was the original purchase price of this calculator? (Profit, selling price, purchase price, profit rate)

40. When a shopping mall buys m pieces of a certain commodity, it sells 65% of all the goods at a higher price in 30 yuan, and then sells them at a lower price of 10%, then each piece can still make a profit 18 yuan, and 25% of all the goods are sold.

(1) Try to find the purchase price and the first selling price of this commodity.

(2) In order to ensure that the total profit of this batch of goods is not less than 25%, what should be the price of the remaining goods?

1, operation a is completed in 20 hours, and operation b is completed in 12 hours. Q: How many hours will it take for Party A and Party B to finish this work?

2. There is a reservoir with three water inlet pipes, A, B and C. The A pipe can be opened independently, and the empty pool can be filled in 6 minutes. Open the second pipe separately, and the empty pool can be filled in 12 minutes; When the third pipe is opened separately, 18 minutes can fill the empty pool. If the third pipes A, B and C are opened at the same time, how many minutes will it take to fill the empty pool?

3. For homework A, it takes 20 hours for homework A and 0/2 hours for homework B.. If Party A does it alone for 4 hours first, and the rest is done by both parties, how many hours will it take to complete it?

4, A work, A alone to do 20 hours to complete, B alone to do 12 hours to complete. If B does it for 2 hours first, and then Party A and Party B do it together, how many hours will it take?

5. For a job, Party A works alone for 20 hours, Party B works alone for 12 hours, and Party C works alone for 15 hours. If Party A, Party B and Party C do it for 5 hours first, and then both parties do it together, how many days will it take?

6. For a job, Party A will do it alone for 6 hours, Party B will do it alone for 12 hours, and Party C will do it alone for 18 hours. If A and B do it for 3 hours first, and then B and C do it together, how many hours will it take to complete it?

7. For a project, Party A completed it in 20 days, and Party B 10 days. Now, a few days after Party B, Party A completed the rest, and it took 12 days successively. How many days did Party B do it?

8. There are 75 workers in a workshop who produce two kinds of workpieces A and B. It is known that one worker can produce 15 workpieces A or 20 workpieces B every day. However, when installing a machine, it is necessary to install three workpieces A and two workpieces B at the same time to form a complete set of equipment. How to distribute the production of workers in the workshop to ensure that the two kinds of workpieces are just matched when the machine is installed continuously?

9. A clothing factory produces suits and ties. Each suit costs 200 yuan, and each tie costs 40 yuan. In the promotion activities, the factory provides customers with two preferential ways: (1) buy a suit and get a second tie; (2) Suits and ties are paid at 90% of the pricing, and a store buys 20 suits and several ties from a clothing factory.

(1) How many ties should I buy? Are the two offers the same?

(2) Which scheme should be adopted to save money when buying 50 ties?

10. A store buys a batch of tapes at the price of 3 boxes 16 yuan, and buys twice as many tapes from other places at the price of 2 1 yuan for 4 boxes. If all the tapes are sold at the price of K yuan per 3 boxes, you can make 20% investment and find out the value of K.

1.The distance between a and b is 20km. A and B drive in the same direction from A and B at the same time and meet for 2 hours. After meeting, A will go back to A immediately. Will B go to A? When A goes back to A, B is 2km away from A2K. What are the speeds of A and B respectively?

2. There are 70 workers in a workshop, each of whom processes 15 shafts or 12 bearings on average every day. How should the workers allocate so that the produced shaft and bearing can just match?

1. A student asked the teacher, "How old are you this year?" The teacher said, "You were born when I was your age; When you reach my age, I will be 37 years old. " Q: How old are the teachers and students this year?

The circumference of the rectangle is 44 cm. If the width is 3 times the length by 6 cm, what is the length and width of the rectangle?

3. It is known that the height of trapezoid is 7, the area is 56cm2, and its upper bottom is 4cm more than one third of its lower bottom. What are the lengths of the top and bottom sides of the trapezoid?

There are three rooms and two rooms in the hotel. Three rooms a day in 25 yuan and two rooms a day in 35 yuan. A 50-member tour group checked into the hotel and rented several rooms, each of which was just full. One day, * * * spent 1, 5 10 yuan. How many rooms did you rent for each of these two rooms?

8. At present, there are 190 sheets of iron sheets to make boxes, each sheet of iron has 8 boxes or 22 box bottoms, and one box and two box bottoms make a complete box. How many sheets of iron are used to make boxes, and how many sheets of iron are used to make boxes, just enough to make a batch of complete boxes?

9. It takes three hours for a ship to travel 36 kilometers downstream and 24 kilometers upstream. Find the speed of the ship in still water and the speed of the current.

10. in order to protect the ecological environment, a mountainous county in our province responded to the national call of "returning farmland to forests" and changed part of its cultivated land into forest land. After the change, the forestland area and cultivated land area * * * are 180 square kilometers, and the cultivated land area is 25% of the forestland area. How many square kilometers is the forestland area and cultivated land area after the change?

12. Wang contracted 25 mu of land to plant eggplant and tomato in greenhouse this spring, which cost 44,000 yuan, of which 1700 yuan was used to plant eggplant per mu, with a net profit of 2,600 yuan; The cost of planting tomatoes per mu is 1800 yuan, and the net profit is 2600 yuan. How much did Uncle Wang make?

13. A vegetable company bought a vegetable 140 tons, and prepared to process it and sell it on the market. The processing capacity of this company is 6 tons per day or 0/6 tons per day/kloc. It is planned to complete the processing task in 15 days. How many days does the company have to arrange for rough machining and fine machining to complete the task on schedule? If the profit per ton of vegetables is 1000 yuan after rough processing and 2000 yuan after fine processing, how much can the company earn by selling these processed vegetables?

14. In a football trial, 12 teams participated in the selection, and each team had to play against the other team once. The scoring rules are: win a game with 3 points, draw a game 1 point, and lose a game with 0 points. At the end of the game, a team won twice as much as it lost and scored 20 points. How many games did the team win and how many games did it lose?