(1) Under what circumstances, does it cost the same to buy a membership card as not to buy one?
(2) Under what circumstances is it more cost-effective to buy a membership card than not to buy it?
(3) Under what circumstances is it more cost-effective to buy a membership card than to use it?
2. From place A to place B, go downhill first, and then take a flat road. Someone rode a bicycle downhill at a speed of 12 km/h, crossed a flat road to reach B at a speed of 9 km/h, and it took 55 minutes. When he came back, he crossed a flat road at a speed of 8 km/h and went uphill at a speed of 4 km/h. It took 1.5 hours to get back to a place. How many kilometers is it from a to b?
3. Grade one 1 class took 100 trees, leaving 10. Grade one and grade two took 200 trees, leaving 10. How many classes are there in grade one in .......................................................................................................?
4. When the thunderstorm duration t (hours) can be estimated by the formula: t 2 = d 3/900, and d (kilometers) represents the diameter of the thunderstorm area.
The thunderstorm area is 6 kilometers in diameter. How long can a thunderstorm last?
Thunderstorm duration 1 hour. What is the approximate diameter of the thunderstorm area?
5. It is 800km from Station A to bilibili. At first, 400km is a flat road, then 300km is an uphill road, and the rest is a downhill road. It is known that the speed ratio of trains on uphill, flat and downhill roads is 3: 4: 5. If the speed of the train on the level road is 80km/h, the time from Station A to bilibili is longer than that from bilibili to bilibili. If the train takes the same round trip time, what is the speed ratio of the train from Station A to bilibili and from bilibili to Station A on the level road?
6. A school sports meeting will be held on the 400-meter circular runway 10000-meter competition. After two athletes started at the same time, B was faster than A, 15 points, A accelerated. 18 minutes, A catches up with B, starts to overtake B, 23 minutes, A surpasses B again, 23 minutes and 50 seconds, A reaches the finish line. So what's the time for B to finish the race?
When our army reached a bridge to stop the enemy from starting, the enemy was 24 kilometers away from the bridge and our army was 30 kilometers away from the bridge. The speed of our army's urgent March is the enemy's 1. Five times the result, 48 minutes earlier than the enemy. Seeking the speed of troops?
8. A company sells two kinds of sneakers, A and B. Last year, * * * sold12,200 pairs. This year, the sales volume of type A shoes is 6% more than last year, and the sales volume of type B shoes is 5% less than last year. The total sales volume of two kinds of shoes has increased by 50 pairs. How many pairs of sports shoes did A and B sell last year?
9. I play chess with my grandson. Played 12 games (no draw) and scored the same. Grandpa won a game with 1, and grandson won a game with 3 points. How many games did grandpa and grandson win? Use equation
10. A file needs to be printed. It takes 6 hours for Xiao Li to finish it alone, and 8 hours for Xiao Wang to finish it alone. How long will it take if they finish it together?
1 1. In order to enable poor students to successfully complete their college studies, the state has set up a student loan. Student loans are divided into four types: 0.5~ 1 semester, 1~3 semester, 3~5 semester and 5~8 semester. The loan interest rates are 5.85%, 5.95% and 6.00 respectively. There is a calculator.
12 There is a football made of 32 pieces of black and white cowhide. Black leather is pentagonal, white leather is hexagonal, and their sides are all equal. Find the number of pieces of white leather and black leather.
13. The fruit shop buys a number of apples, each at the price of 3 yuan. If you sell every 5 yuan, you will recover the full cost if you sell more than half. How many apples did * * * sell?
14. By car, I originally planned to rent more than 30-seat buses, but none of the five people had seats. If you rent a 35-seat bus, you can miss one. Every bus is full. It is known that the rental of 30-seater cars 165 yuan and 35-seater cars10 yuan. How many people are there in the first grade?
15 someone originally planned to ride a bike from place a to place b at the speed of 12km per hour, so that they could arrive within the specified time. However, because of something, he delayed the original planned departure time by 20 minutes, so he had to go at the speed of 15km per hour, and finally arrived at B place four minutes earlier than the scheduled time, so as to find the distance between A place and B place?
16. Two candles with different compositions and the same length can be burned in 3 hours and 4 hours. It is now required that by four o'clock in the afternoon, the remaining part of one candle is exactly twice that of the other. Should these two candles be lit at the same time?
17.a and B are 5 10 km apart. Two cars, A and B, are driving in opposite directions from two places. If two cars leave at the same time, they will meet in five tenths of an hour. If B leaves two hours first, then A will meet four hours after departure. What is the speed of the two cars?
18. It is known that there are 5 A-type machines. 1 1 After filling 8 boxes, there are 4 products left, and after filling 6 boxes a day, there are 7 B-type machines left. Each type A machine produces 1 product more than the type B machine. How many products are there in each box?
19. The basic price of electricity for residents in a certain place is 0.4 yuan per kWh. If the monthly electricity consumption exceeds 60 kWh, the excess will be charged at 70% of the basic electricity price. In June, the average electricity consumption per household was 0.36 yuan per kWh. How many kWh will be consumed in June? How much is the electricity bill?
20. Party A and Party B climb mountains. Party A climbs10m every minute, and starts for 30 minutes first. Party B climbs15m every minute, and both of them climb the mountain at the same time. How long does it take Party A to climb the mountain? How high is this mountain?
2 1. A rides a bike from place A to place B, and B rides a bike from place B to place A, both of which advance at a constant speed. It is known that they started at 8: 00 a.m. at the same time, and they were still 36 kilometers apart at 10 in the morning and 36 kilometers apart at 12 at noon. Find the distance between a and B.
22. If the absolute value of a+3 and the square of b-2 are reciprocal, find the value of the second act of A..
23. The following are the advertisements of three companies:
Company A: Recruitment 1 person with an annual salary of 30,000. After one year, the annual salary increased by 2000 yuan.
Company B: Recruitment 1 person, annual salary 1, and increase by 20% every six months after half a year.
Company C: Recruitment 1 person, with a monthly salary of 2,000 yuan and a monthly salary increase of 100 yuan after one year.
Which company are you going to choose if you apply? (The contract term is 2 years)
24. 1. The charging standard for group tickets in a scenic spot is: less than 20 people (including 20 people). Everyone in 25 yuan, if there are more than 20 people, each student 10 yuan will visit the scenic spots in a class of 5 1 students. How much is the ticket?
25.2. When a company sells a certain product, there are two schemes to pay the salesperson's monthly salary:
Option 1: No matter how much you sell, there is a basic salary in 600 yuan, and every product you sell will give you a promotion fee in 2 yuan;
Option 2: No basic salary is paid, and 5 yuan promotion fee is paid for each product promoted;
If Xiaoming sells 300 products a month, which salary scheme should he choose? Why?
26. A certain store sells two pieces of clothes at the price of each piece of 60 yuan at a certain time, of which one makes a profit of 25% and the other loses 25%. Is it a profit or a loss to sell these two clothes, or is it a capital preservation?
27. A store will first increase the original price of a color TV by 40%, and then write "big reward, 20% discount" in the advertisement. After the customer complains, the law enforcement department will impose a fine of 2700 yuan per set according to 10 times of the illegal income. What's the price of each color TV?
28. A passenger in an ordinary cabin can carry up to 20 kilograms of luggage free of charge, and the excess can be purchased at 0/.5% of the air fare per kilogram/kloc. A passenger carries 35 kilograms of luggage and pays the air ticket and baggage fee 1323 yuan. How much is the fare for passengers?
Let the air ticket price be x, x+1.5% * x *10 =1323.
The fare is 1 150.43 yuan.
29. Xiaoming got 82 points in the first math test, 96 points in the second, and at least how many points in the third. The average score of these three tests is not less than 90 points?
30.a starts from a city by bike. Two hours later, B walked the same road for three hours, and the distance between them was 16km. At this time, B continued to catch up. A rested in the same place 1 1/3 hours, and then returned from the same place. 1 hour later, Party A and Party B will separate from point C. How far is point C from a city?
32. A company ordered X white shirts and Y flowered shirts in a store, and the price of each white shirt was one and a half times that of flowered shirts. When I bought shirts, I found that the numbers of white shirts and flower shirts were just changed to the original numbers. After checking, the order was filled in incorrectly, and the ratio of the amount of money required according to the original idea to the actual amount payable was expressed as a fraction.
33. A school has a 199 teacher and student who want to rent a car to travel. If you rent an A-class station wagon that can take 45 people, rent a car in 400 yuan; If you rent a second-class station wagon that can take 32 people, rent a car in 300 yuan. If you rent two cars at the same time, what is the lowest cost? What's the minimum charge?
34. The starting price of taxis in a city is 10 yuan (i.e., the fare within 5km is 10 yuan). When it reaches or exceeds 5km, 1 km is 1.2 (less than 1 km is also counted as 1 km).
)。 Now someone takes a bus from A to B, paying 17.2 yuan. What is the approximate distance from a to b?
35. The distance between the two places is 300KM, and there are ships sailing in the two places. If it takes 15H downstream and 20H downstream, what is the speed format of a ship sailing in still water against the current?
36. There are 1, 5, 1 yuan 10 coins and * * * 7 yuan 15 coins. 1, 5, 1 How many coins are there?
37. There are (5A-4) passengers on a bus, and (9-2A) passengers get off when they arrive at the station. How many passengers are there on the bus?
38. The school organizes students to practice in the countryside 3 1km away from the school, with 3 hours in the morning and 4 hours in the afternoon, and the average speed in the afternoon is slower than that in the morning 1km. What is the average speed in the morning and afternoon?
39. A swimmer went upstream and lost an empty plastic kettle in one place. When he advanced 50 meters to B, he found that the kettle was lost and immediately returned to look for it. He found it in section C. This man's swimming speed is 0.5 times the current speed of 65438+. How many meters did he swim from losing it to finding the kettle?
40. There are three kinds of texts: A, B and C. If you buy two A's, 1 B's and three C's, you need 23 yuan. If 36 yuan needs to buy 1 block, 4 blocks B and 5 blocks C * *, how much does it cost to buy 1 block, 2 blocks B and 3 blocks C * *?
4 1.a and b practice running on the 400-meter circular track. If they run in the same direction, they meet every 3 minutes and 2 seconds. If you run relatively, meet every 40 seconds. What are the speeds of A and B respectively?
42.40-legged centipede and Hydreigon are in a cage. * * * There are 26 heads and 298 feet. A centipede with 40 feet has only one head. How many feet does Hydreigon have?
43. A batch of ***840 pieces will take 8 days to complete if Party A works for 4 days first and Party B joins the cooperation. If Party B does it for 4 days first and Party A joins the cooperation, it will take 9 days to complete it. How many pieces do two people make every day?
Xiao Ming plays games with his classmates. He is required to go 20 meters ahead from a certain point, turn left 30 degrees, go 20 meters ahead and turn left 30 degrees until he returns to a certain point. How many meters did Xiaoming walk?
45. A school has 200 senior one students taking the mid-term exam. The average score of students who passed the math exam is 87, that of students who failed is 43, and that of senior one is 76. How many people passed and failed the exam?
46. A construction team wants to recruit workers A and B 150, and the monthly wages of workers A and B are respectively 1000 yuan in 600 yuan. Now Party B is required to be no less than twice that of Party A's workers. What is the minimum wage?
47. A shopping mall plans to allocate 90,000 yuan to buy 50 TV sets from manufacturers. It is known that the ex-factory prices of three different models of TVs produced by this manufacturer are A 1.5 million yuan, B 2 1.0 million yuan and C 2500 yuan respectively.
(1) If the shopping mall buys 50 TV sets of two different models at the same time, which costs 90,000 yuan, please study the purchase scheme.
(2) If a shopping mall sells a TV, what is the maximum profit of the scheme in 150 yuan, 200 yuan B, 250 yuan C, (1)?
48. Hangzhou East Road, known as the urban landscape, spans the lake for1.857m, and its greening indicators are shown in the following table. Analyze the table and answer the following questions:
Number of main tree species
Zhangshu 336
Liu Shu 188
Palm 258
Osmanthus fragrans 50
A total of 832 people
It is known that Hangzhou East Road is 4744 meters long. When the row spacing (horizontal distance between two trees) is unchanged, please estimate the number of camphor and palm trees planted along the line (the result is an integer).
49. Someone bought a one-year bond with a certain amount of RMB, with an annual interest rate of 65,438+00%. After the maturity, he took out half of the principal for shopping, and the remaining half and the interest earned all bought this one-year bond (interest unchanged). Upon maturity, I got the principal and interest and 1, 320 yuan. How much did the man spend on this bond?
50. There are 20 questions in a math contest for first-year students in a school. Add 5 points for each correct answer. 1 point will be deducted for each wrong answer or no answer. How many questions do you need to answer correctly for 70 points?
5 1. Youth farm harvested 8.5 hectares of wheat on the first day, and harvested 20% more on the second day. How many hectares were harvested on the second day?
52. A manuscript should be copied by one person. Party A needs to finish it in 10h, Party B needs to finish it in 12h, and Party C needs to finish it in 15h ... Let C copy it for 4 hours first, and then A and B copy the rest. How many hours will it take?
53. The paper mill completed 75% of the annual plan in the first seven months 1999, and produced 1800 t in the next five months, which can exceed the planned output by 300t. How many tons is the planned output of 1999?
54.A train goes from City A to City B at a speed of 45 kilometers per hour and takes 4 hours to arrive. When I came back,
55. There are 3 million tons of grain in warehouses A, B and C. After 40 tons of grain are shipped out, the weight ratio of surplus grain in warehouses A, B and C is 7: 5: 6. How many tons of raw grain is there in warehouse A?
56. Some data about the donations made by the sixth-grade students of Lishan Primary School for Project Hope have been recorded in the statistical table. Please fill in the statistics form completely. (No recipe required)
57. A conical sand pile, the circumference of its bottom surface is 6.28m If the volume of this pile of sand is 1.57m3, what is the height of this pile of sand?
58 A walks to a certain place at a speed of 6 km/h, and after 2.5 hours, B rides a bike to catch up with A at a speed of18 km/h. How long can B catch up with A after starting?
A youth league branch intends to use 650 yuan to prevent the whole class from going to the restaurant on the 88th floor of Jinmao Building for dinner. Later, the class teacher suggested that five members go together, so that the ticket fee would be raised to 990 yuan. What is the ticket price for the 88th floor of Jinmao Building?
60. March 2006 15. The traffic project of maglev railway-Shanghai-Hangzhou Line, which has attracted much attention at home and abroad, has been approved by the State Council. After the completion of this project, the railway running distance from Shanghai to Hangzhou will be shortened from the current 200 km to 175 km. The speed of maglev train is 3.5 times that of express train now, and its running time is about 1.2 hours shorter than that of express train. What is the design speed of maglev train?
6 1. In order to further alleviate traffic congestion, a city decided to build a light rail from the city center to the airport. In order to finish the project three months ahead of schedule, it is necessary to improve the original work efficiency 12%. How many months did it take to complete this project?