1. Xiaoming reads a book. He originally planned to read 35 pages a day and finish it in 32 days. In fact, he reads five pages more than planned every day. How many days did it actually take him to finish it?
2. Build a road. It was originally planned to build 0.4km a day, and it will be completed in 70 days. The actual number of table repairs per day is 65438+ 0.25 times of the planned number. How many days will it take to actually finish?
The greening team plans to complete the task of planting trees within 8 days. Actually, 240 trees were planted every day, and all the tree planting tasks were completed in 7 days. How many more trees are actually planted every day than planned?
4. Send brown sugar and white sugar to a village. 2 bags of brown sugar and 5 bags of white sugar are distributed to each household. When it was delivered to the last household, the brown sugar was just delivered, leaving 10 bags of white sugar. It is known that the number of bags of white sugar is three times that of brown sugar, so how many bags of brown sugar and white sugar do you bring?
The clothing factory should process a batch of clothes. The first workshop and the second workshop can be processed simultaneously within 60 days. It is known that the clothing processed in the first workshop accounts for 45% of the total clothing, and the second workshop processes 132 pieces a day. How many pieces are processed in the first workshop every day?
The washing machine factory plans to produce a batch of washing machines. Results 37.5% of the plan was completed in 9 days. According to this calculation, how many days will it take to complete the plan?
7. There is a pile of coal that can be burned 120 days. Due to the improvement of coal-burning technology, 0.25 tons of coal is saved every day. As a result, this pile of coal burned for 150 days. How many tons is this pile of coal?
8. Give Xiaoming, Xiao Qiang and Xiaogang a bag of peanuts. Xiaoming got more than 6 peanuts, Xiao Qiang got more than 9 peanuts, and the last one was given to Xiaogang. As a result, three people got the same amount of peanuts. How many peanuts are there in this bag?
9.A and B workshops process a batch of the same parts. If workshop A processes 35 parts first, then workshop B processes 1 day, and then workshop B starts processing again. After 5 days, the number of parts processed by the two workshops is equal. How many parts does workshop B process in a day?
10. How to divide a square into five equal parts?
1 1. At present, 10 Jin of oil is measured by one barrel 10 Jin, 1 7 Jin of a barrel and 1 3 gold cans of a barrel. Please divide 10 kg of oil into two 5 kg, and put them in 10 kg and 7 kg respectively.
12. Grass100kg, with water content of 66%. After drying, the water content decreased to 65438 05%. How many kilograms do these grasses weigh after drying?
13. Reduce one side of the square by 1/5 and increase the other side by 4 meters to get a rectangle. This rectangle has the same area as the original square. How many square meters is it?
14. A workshop processes A and B parts. Among the parts processed, part A accounts for 30%, and then 24 parts B are processed, and part A accounts for 25%. So how much have these two parts been processed now?
15. Produced by Party A, Party B and Party C 1760. If Party A produces 2/9 less and Party B produces 80 more, then the number of parts produced by Party A, Party B and Party C is equal. How many parts have Party A, Party B and Party C produced respectively?
16. Xiaoming's age this year is 65438+ 0/6 of his father's age. 15, his age is 4/9 of his father's age. How old are Xiaoming and his father this year?
17. There are 3 14 students in a school, of which 2/3 are boys and less than 4/5 are girls. How many boys and girls are there in this school?
18. Class A and Class B have the same number of students, and some students in each class participated in the math group. The number of people in class A who participate in the math group is exactly 1/3 of the number of people in class B who do not participate in the math group. The number of people in class B who participated in the math group is exactly 1/4 of the number of people in class A who did not participate in the math group. So how many times is the number of people in Class A who didn't take part in the math group?
19. There are several liters of alcohol solution in the container. After adding 1 liter of water, the pure alcohol content is 25%; Add 1 liter of pure alcohol, and the content of pure alcohol in the container is 40%. So how many liters of alcohol solution were there in the original container? What is the concentration?
20. If Party A, Party B and Party C jointly copy a manuscript, it can be completed in 1 hour. If Party A and Party B jointly copy, it will take 80 minutes to complete; If B and C are copied together, it will take 100 minutes to complete. How many hours will it take if B copies this manuscript separately?
2 1. A single project can be completed in 20 days; B It can be finished in 30 days if it is done by one person. Now two people are working together, the middle one has rested for three days, and B has rested for several days. It took 16 days to complete. B how many days did you rest?
22. It takes 8 hours to fill a pool of water and only open one pipe; It takes 12 hours to open only the second pipe; It takes 15 hours to open only the C tube. At present, only tube A and tube B are opened, and then tube C is opened. It takes 10 hours before and after filling a pool of water. How many hours does it take to open the C pipe and inject water?
23. It takes 12 days for an engineering team to build a project. If only two teams of Party A and Party B exchange work contents, the whole project will be delayed for 3 days. If the two teams A and B are allowed to exchange work contents, and the two teams C and D are also allowed to exchange work contents, then the whole project can still be completed as scheduled. If only C and D teams are allowed to exchange work contents, the whole project can be completed a few days in advance.
24. Team A and Team B cooperate on a project. After team A worked alone for 6 days, team B joined in and worked with team A, and it took another 4 days to complete 1/3 of the whole project. It took another 65,438+00 days to complete 3/4 of the whole project. Because Team A has another task, Team B will continue to work until the whole project is completed. How much did it cost from start to finish?
25. A, B and C have a bicycle race. As a result, Party A arrived at the finish line 24 minutes earlier than Party B, and Party B arrived at the finish line 6 minutes earlier than Party C. It is also known that Party A is 5 kilometers faster than Party B, and Party B is 1 km faster than Party C. What is the race distance among Party A, Party B and Party C?
26. On weekdays, two cars, A and B, leave from City A and City B at the same time, face to face, and meet six hours later. One day, car A broke down on the way, and the repair took 2.5 hours. As a result, it took 7.5 hours for the two cars to meet. So how many hours did it take for A train to leave from A city to B city on this day?
27. In a certain city, trams start and end at certain intervals and travel at a constant speed. Zhang Hua rode along the tram line at a constant speed. Every 12 minutes, a tram passed behind him, and every 4 minutes, a tram came head-on. Then the tram starts and ends at regular intervals.
28. The walking speed ratio of Party A and Party B is 1 1∶7. They went in opposite directions from A and B respectively, and met two hours later. If they go in the same direction, how many hours will A catch up with B?
29. There are 45 students going to the suburb 30 kilometers away from the school. There is only one car in the school that can take 15 people. The speed of the car is 60 kilometers per hour. The speed at which students walk is 4 kilometers per hour. How many hours will it take them to get to work at the earliest?
30. Students from Class A and Class B set off for the Children's Palace at the same time. The walking speed of Class A is 5 kilometers per hour, and that of Class B is 6 kilometers per hour. The school has a car, which can accommodate a class of students, and the speed of the car can reach 30 kilometers per hour. In order to let the students of Class A and Class B arrive at the Children's Palace as soon as possible, what is the walking distance ratio between Class A and Class B?
3 1. A car from A to B can arrive 1 hour earlier than the original time if its speed is increased by 20%. If you drive at the original speed of120km, and the speed is increased by 25%, you can arrive 40 minutes earlier than the original time. What is the distance between a and b?
32. There is an expressway from City A to City B, which is divided into three sections, of which the first section is twice as long as the third section. In the first section, the speed of the car is 40 kilometers per hour. On the second section of the road, the speed of the car is 90 kilometers per hour; On the third road, the speed of the car is 50 kilometers per hour. At present, two cars start from A and B at the same time, heading towards each other, and meet at the second section 1/3(A to B 1/3) in 20 minutes. So how many kilometers is it between A and B?
33. Two cars, A and B, leave from A to B at the same time. After driving 2/3 of the whole journey at the original speed, the speed of car A increased by 1 times, and the result was that it arrived at place B two hours earlier than originally planned. The speed of the second car was increased by 1/4 after the original speed of 30 kilometers per hour. As a result, the two cars arrived at B at the same time. So how many kilometers does A plan to drive every hour?
34. There is a coach running at a fixed speed between A and B. If the speed is 6 kilometers faster than the original speed, it will be 20 minutes earlier. If the speed is 5 kilometers slower than the original speed, it is 24 minutes late. What's the distance between a and b?
35. In cities, buses leave at certain times. Xiaoming is walking home after school. He found that a bus left behind him every six minutes and a bus left in front of him every two minutes. He wants to know how many minutes the bus will leave. Can you help him calculate it?
36. The distance between Party A and Party B is 240 kilometers. The speed of the car from Party A to Party B is 36 kilometers per hour, and the speed of the motorcycle from Party B to Party A is 24 kilometers per hour. 2.5 hours after the motorcycle leaves from Party B, the car also leaves from Party A. How many hours after the car leaves?
37. In order to meet the increasing demand for water, three water plants, A, B and C, were recently built in Kunming. The daily water supply of these three water plants was 1 18000 cubic meters, of which the daily water supply of water plant B was three times that of water plant A, and that of water plant C was 10000 cubic meters, which was more than half of that of water plant A.. What is the daily water supply of these three water plants?
38. Party A and Party B are shareholders of a service company, with Party A accounting for 60% and Party B accounting for 40% of the shares. Later, they decided to take in Party C, so Party C gave Party A and Party B RMB 6,543.8+0.8 million, reducing their shares to 35%, and Party C accounted for 30% of the shares. How much should both parties get back?
39. There are five questions in an exam. 1, 2, 3, 4 and 5 are correct, accounting for 8 1%, 9 1%, 85%, 79% and 74% of the participants respectively. If you answer more than three questions correctly, what is the passing rate of this exam?
40. Use 0-9 to arrange three digits.
1) If each number can only be used once, how many possibilities are there?
2) If each number can be used multiple times, how many possibilities are there?
4 1. It's four o'clock. How many minutes will it take for the hour hand and minute hand to coincide for the first time?
42. In a football match, 1 round (each team 1 1 game) wins one game, scores 2 points, draws one game, scores 1 point, and loses one game, scores 0 point. The number of negative games of a team is the number of winning games m 2/ 1. * * 18.
43. A test paper has 25 multiple-choice questions. Answer correctly 1, get 4 points, answer incorrectly or don't answer, get 1 point. A student got 90 points in the exam. How many questions did you answer correctly? Now there are 500 students taking the exam. Did anyone get 83 points? Why?
44. The basic price of residential electricity in a city is 0.40 yuan per kWh. If the monthly electricity consumption exceeds one kWh, the excess will be charged at 70% of the basic electricity price. (1) A household used 84 kWh of electricity in May, and * * * paid 30.72 yuan. (2) If the household's electricity bill in June is 0.36 yuan per kWh on average, it will be charged in June.
45. 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 deposit 1 year with an annual interest rate of 2.25%. When 1 year comes, the principal and after-tax interest will be withdrawn and deposited in 1 year. Which method can I choose to get more after-tax interest?
46. Three fives plus one 1, addition, subtraction, multiplication and division, get 24.
47. There is a Pentagon, and each vertex is randomly painted with one of three colors: yellow, red and green. Adjacent vertices are required to have different colors. How many painting methods are there in Chinese painting?
48. There is a two-story bookshelf. The number of books upstairs is 2.5 times that downstairs, and the number of books on the two floors is just right. How many books are there on the second floor?
49. After Party A and Party B broke up, they walked in opposite directions along the railway tracks. At this time, a train is coming to Party A at a uniform speed, and the train passes by Party A, which takes 15 seconds. Then I passed by B, and it took 17 seconds. Given that both of them are walking at a speed of 3.6 km/h, how long is this train?
50. Li Bai walked in the street doing nothing, carrying a hip flask to smash wine. When he met the shop, he doubled it and drank a bucket of flowers (a bucket, an ancient vessel for holding wine). When he met the shopkeeper, he spent three times and drank the wine in the pot. How much wine is there in the pot?
5 1.A Reservoir * * * has two water inlet pipes AB and a drainage pipe C. If pipe A is opened separately, the empty pool can be filled in 6 hours, and pipe B can be closed separately. /kloc-water can be injected in 0/0 hour, and the C tube can be closed independently, and the pool can be drained in 9 hours. There is no water in the pool now. If AB pipeline is opened for 2.5 hours at the same time, C is opened.
52. A three-digit number is 4. If you change 4 to the far left, you will get 98 times more than the original number. What is the original number?
53. If abcd*e=dcba, what is abcd?
abcd*4=dcba
abcd*9=dcba
54. Party A and Party B set out from A and B at the same time at a speed of 3: 2. After their first meeting, Party A's speed increased by 20% and Party B's speed increased by 30%. So, when A arrives at B, it is still 14 km away from A, so what is the distance between A and B?
55. 1/28 is expressed as the sum of two different decimal units, so how many different expressions are there for * * * (only different summation orders are regarded as one)?
56. Nine prime numbers have been filled in the table below. Adding three numbers in the same row or column to the same natural number is called permutation. Q: Can you make the nine numbers in the table the same number by arranging them several times? Why?
235
13 1 17← This is the original arrangement of figures in the table.
17 1923
57. If any three integers are multiplied by A.B.C and the sum of the products is odd, how many odd numbers are there in A.B.C?
58. There are two jobs, A and B. It takes 65,438+05 days for Zhang to complete this job alone, 65,438+05 days for Li to complete this job alone, and 20 days for Li to complete this job alone. If two people can cooperate in each job, how many days will it take to complete these two jobs at least?
59. Use 1 cent, 2 cents and 5 cents to make a dollar. * * * How many different ways are there?
60. Find three consecutive natural numbers, so that the smallest number is a multiple of 15, the largest number is a multiple of 19, and the other number is a multiple of 17. What is the minimum sum of three consecutive numbers?
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