1, number problem
1. It is known that the sum of three consecutive even numbers is 2004. What are three even numbers?
For two-digit numbers, the number on the tenth digit is 5 less than that on the single digit. If the two digits of this two-digit number are exchanged to get a new two-digit number, then this new two-digit number is 45 larger than the original two-digit number. What is the product of the new two-digit number and the original two-digit number?
2. Deployment issues
The two plates of the 1. balance contain 5 1g and 45g of salt respectively. How to achieve balance?
2. There are two construction teams, 32 in team A and 28 in team B. If the number of team A is twice that of the construction team, how many people will be transferred from team B to team A?
3. Party A 108 and Party B 54. Now we want Party A to give some books to Party B, so that the books owned by Party A account for 20% of the books owned by Party B. How many books did Party A give?
4. Students in a class take advantage of their holidays to participate in summer camp activities and are divided into several groups. If there are 7 people in each group, there is 1 person. If there are 8 people in each group, there are still 6 people missing. How many people are there in the classes divided into several groups?
5. A class holds a stamp exhibition. If there are three stamps per person, there will be 24 more stamps, and if there are four stamps per person, there will be 26 fewer stamps. How many students are there in this class? How many stamps are on display?
6. The school has added several boxes of teaching equipment, which will be delivered by a class of students. If each person sends 8 boxes, there are still 16 boxes left. If each person transports 9 cases, there are still 32 cases missing. How many boxes are there in this batch of equipment? How many students are there in this class?
There are 28 workers in the workshop who produce a kind of bolt and nut. On average, each person can produce 65,438+02 bolts or 65,438+08 nuts per hour. One bolt with two nuts. How many people should be assigned to produce bolts and nuts, so that the produced bolts and nuts can just match.
8. In the seventh grade, 170 students went to plant trees. On average, boys dig 3 tree pits a day, while girls plant 7 trees a day. How many boys and girls are there in this grade if just one tree is planted in each pit?
3. Age problem
1. A classmate is 15 years old and his father is 39 years old. How many years later, his father is twice the age of this classmate?
2. There are three students, A, B and C. A is older than B 1 year, and B is 2 years older than C. The sum of their ages is 4 1. Find B's age.
4. Sales problem
1, a salesman, sells all the goods and takes them to 400 yuan. How much does it cost to sell all the goods?
2. The price of a commodity is 120 yuan after a 20% increase on the purchase price. What is its purchase price?
3. You need 4 yuan to buy two pens and a ballpoint pen; It takes 5 yuan money to buy 1 pen and 2 ballpoint pens. How much does it cost to buy four pens and four ballpoint pens?
4. After a product is increased by 40% on the basis of the original price, it will be sold at a 20% discount, and each product will earn 270 yuan. What is the original price of the product? What's the selling price now?
5. The purchase price of a commodity is 100 yuan, and the price is 150 yuan. The boss requires that it be sold at a profit rate of not less than 5%. How much discount can a salesperson give to sell goods?
6. A store sells two different brands of products at a time, one earns 12% and the other loses 12%, and the prices of both products are 3080 yuan. Ask the store about the profit of this transaction.
7. The cost of two clothes of Party A and Party B * * In 500 yuan, in order to make a profit, the store decided to price the clothes at home at 50% and the clothes of Party B at 40%. In actual sales, at the request of customers, both clothes are sold at a 10% discount, so the store makes a profit 157 yuan. How much is the cost of two pieces of clothes?
8. A classmate found in supermarkets A and B that the unit price of his favorite walkman was the same, and so was the unit price of his schoolbag. The unit price and taste of walkman and schoolbag is 452 yuan, and the unit price of walkman is four times less than that of schoolbag, which is 8 yuan. One day, the supermarket was on sale, and all the goods in supermarket A were sold at a 20% discount. Every time he spent 100 yuan in supermarket B, he returned the shopping voucher to 30 yuan, but he only brought 400 yuan's money. If he only bought two items he liked in a supermarket, can you explain which one he would choose? If both companies can choose, which one will save more money?
9. A store bought a batch of energy-saving lamps, each 13 yuan. During transportation, 12 energy-saving lamp was damaged. Unit price 15 yuan, profit 1020 yuan. How many energy-saving lamps did you buy?
5. Engineering problems
It takes 30 days and 20 days for a pipeline to be constructed by two engineering teams.
1. If two teams work at the same time from both ends, how many days will it take to complete the paving?
2. It is known that Team A works alone in 200 yuan and Team B works alone in 280 yuan every day. So how can construction achieve the goal of doing more with less money?
2. A pool is equipped with three water pipes, A, B and C. A turns on 12h to inject water into the pool, B turns on 8h to inject water into the pool, and C turns on 24h to release water from the pool. If three pipes are opened at the same time, how many hours will it take to fill the pool?
3. If a worker produces 38 parts per hour, there are still 15 parts that cannot be completed within the specified time; If 42 units are produced per hour, it can exceed 5 units. What's the exact time? * * * How many parts are produced?
The output of a factory this year has increased by 60% compared with last year, reaching the goal of producing 3.2 million products. What was the annual output of this factory last year?
5. A project will be completed by Party A alone for 20 days and by Party B alone 12 days. After Party A and Party B have worked together for 6 days, Party B will continue to finish. How many days will it take Party B to complete all the projects?
6. Distance problem
1. Party A and Party B set off at the same time and at the same point on the 400m circular runway. The speed of Party A is 6m/s, and that of Party B is 4m/s.. After running several laps, can Party A surpass Otsuichi Circle?
2. Wang Ran Jr. circled on the 400-meter circular runway. Starting from the starting point, he ran for 45 seconds at first, then accelerated to 1.5 m/s, and it took him 20 seconds to run to the finish line. What was Xiao Wang's initial running speed?