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At least 40 math application problems in the sixth grade last semester.
Math application problems in the first volume of the sixth grade

1, processing a batch of parts, the master does it alone 15 days, and the apprentice does it alone for 24 days. Now the apprentice works alone for a few days, and then the master finishes the task alone for five days. How many days did the apprentice do it alone first?

2. Two baskets of apples, the second basket is less than the first. After taking 4.2 kilograms from the second basket, the ratio of the first basket to the second basket is 8: 5. How many kilograms is the first basket more than the original second basket?

3. Party A and Party B are running on the circular track. It is known that A is faster than B. If you start from the same place and run in the same direction, you can meet for the first time after 3 minutes and 20 seconds. If you run in the opposite direction, you can meet for the first time in 40 seconds. It is known that A runs at a speed of 6 meters per second. What is the diameter of this circular runway? (Pi is taken as 3)

4, a book, read the whole book on the first day, read the rest the next day, and read 20 pages more on the first day than on the second day. How many pages are there in this book?

For a book, if you read the whole book on 1, you will read 20 pages the next day, and the rest on the third day, and don't read the whole book. How many pages are there in this book?

6. A batch of goods, 20 tons on the first day and 30 tons on the second day. At this time, there are 30 tons of goods left. How many tons are there in this batch?

7. For a batch of goods, on the first day, all the goods were shipped less than 20 tons, and on the second day, all the goods were shipped more than 10 tons. There are 70 tons left at this time. How many tons of goods are there?

8. A batch of goods, the first day, the whole batch of goods was less than 28 tons, and the next day, there were 52 tons left. At this time, there are 70 tons of goods left. How many tons of goods are there?

9. It is planned to produce a batch of chemical fertilizers. All tasks are produced on the first day, and the remaining tasks are produced on the second day. On the third day, the remaining 50 tons were produced. How many tons of chemical fertilizer do you plan to produce?

10, bought eggs and duck eggs ***2 1, of which duck eggs accounted for; Later, I bought several duck eggs, accounting for the total number of eggs. Then I bought some duck eggs.

1 1. There was a pile of bricks and 360 pieces were moved. There are 20% more bricks than before. How many bricks are there?

12. The master and the apprentice made 200 parts together, and the master made 25% more than the apprentice, making 14 parts. How many parts did the apprentice make?

13, mentoring processes a batch of parts, and the master processes 25 more parts than the total. The number of parts processed by the apprentice belongs to the master. How many parts are there in this batch?

14, three transport teams, A, B and C, * * * transported a batch of goods. If Team A shipped the goods, Team B shipped a part of them, and Team C shipped the goods, and all of them were shipped out. It is known that Team A is less transported 10 tons than Team B. How many tons did Team B transport?

15, Team A and Team B jointly built a 2500m-long highway. If Team A completes its assigned task, Team B completes another 50 meters, leaving 700 meters to be repaired. How many meters are the tasks assigned by the two teams?

16, Party A and Party B went to the bookstore to buy books and took them to 54 yuan. Party A spends 75% of its own money, Party B spends its own money, and the rest is exactly the same. How much did Party A and Party B bring?

17 and party a * * * simultaneously process 140 parts. A has completed 80% of his tasks, and B has completed 75% of his tasks. At this point, 32 parts of A and B * * * remain unfinished. How many parts do Party A and Party B need to manufacture?

There are apple and pear trees in the orchard. The area of apple trees is 4 hectares more than the total area, and the area of pear trees belongs to apple trees. How many hectares of two kinds of trees have been planted?

19, a batch of books, literature books accounted for, mathematics books accounted for the rest, and 20 known mathematics books were less than literature books. * * * How many books are there?

20. Build a section of highway. In the first month, the whole line was completed, in the second month, 1500m was completed, in the third month, the rest were completed, and the task was just completed in three months. How long is this road?

2 1, a batch of cement, which is transported for the first time. If the remaining 20 tons are transported, the ratio of transportation to surplus is 2: 3. How many tons is this batch of cement?

22. The distance between the two places is 800 kilometers, and two cars, A and B, are driving in opposite directions from both places at the same time. It is known that the speed ratio of two cars is 6∶5. How many kilometers will each car travel when two cars meet?

23. Two cars started from AB at the same time and met at a distance of 40 kilometers from the midpoint. A needs 10 hour for the whole journey, and b needs 15 hour for the whole journey ... Find the distance between AB?

24. Two cars, A and B, started from two places 270 kilometers apart at the same time and met at 1 hour 30 minutes later. It is known that the speed ratio of B and A is 7:8. How many kilometers do these two cars travel per hour?

25. A project can be completed by Party A in 50 days and Party B in 75 days. Now Party A and Party B are cooperating, but Party B left halfway because of something, and it was not completed until 40 days after the start of construction. How many days did Party B leave his job midway?

26. If the manuscript is copied by a single person, Party A needs 65,438+00 hours and Party B needs 65,438+02 hours. If Party A copies it for 4 hours first, Party A and Party B will copy the rest in several hours.

27. It takes 10 hour for a bus to travel from city A to city B, and 15 hour for a truck to travel from city B to city A. Both cars leave two cities at the same time. When they met, the bus ran 96 kilometers more than the truck. How many kilometers is the road between the two cities?

28. Two engineering teams, A and B, cooperated to complete 1/4 of a project. At this time, B has something to turn, and the rest will be done by Team A alone. 15 days. How efficient is Team B?

29. A rope was cut off by 5/9 of its total length for the first time, and the ratio of the length cut off for the second time to the length cut off for the first time was 9: 20, leaving 7 meters. How long is this rope?

30. The weight ratio of goods in warehouse A and warehouse B is 7:8. If the goods are delivered from warehouse B and 6 tons are brought in from warehouse A, then warehouse A is 14 tons more than warehouse B. How many tons of original documents are there in warehouse A and warehouse B respectively?

3 1, two workshops have 150 people. If 50 people are transferred to the first workshop, the number of people in the first workshop is 2/3 of that in the second workshop, and the second workshop is original?

32, a project, a single 25 days to complete, team A's work efficiency is higher than that of team B, this project is done by two teams together, how many days can it be completed?

33. Xiaoming went to the county to take part in the competition. The ratio of the distance he walked to the distance he never walked is 1: 2. If he walks 1 km, the ratio of the distance he walks to the county seat is 2: 3. How many kilometers does Xiaoming go to the county seat? 、

34. The school bought a batch of literature books and science books, among which literature books accounted for more than science books 120. How many literature books and science books did the school buy?

There are 36 books on the first shelf of the library. After moving out and putting it on the second shelf, there are 26 fewer books on the first shelf than on the second shelf. How many are there on the second shelf?

35. At the sixth grade math interest group activity, the students who participated did not participate, and then 30 people participated. At this time, the participating students did not participate. How many people are there in the sixth grade?

36. In warehouses A and B, the rice in warehouses A and B is 70 tons. How many tons of grain are stored in warehouse A and warehouse B?

37. Use one wire for the whole length, and then connect it to13m. Now the wires are longer than before. How many meters did the wire use?

38. It takes 12 days for Party A and Party B to jointly manufacture a batch of parts. Now, Party B will make it one day after three days of manufacturing, and * * * will complete this batch of parts. How many days will it take if this batch of parts is manufactured by Party A alone?

39. Sixth-grade students donated money for clothes in the disaster area 1.800 yuan, fifth-grade students donated less than sixth-grade students112, and fourth-grade students donated more than fifth-grade students 1.20 yuan. How much did you donate for the fourth grade?

40. The store shipped 720 kilograms of three kinds of fruits, with fewer pears than apples and more oranges than pears. How many kilograms of oranges were shipped?

4 1, A and B * * have 1 15 people, B and C * * have 1 10 people. As we all know, the number of people in Class C belongs to Class A. How many people are there in Class A?

42, a bag of rice, add 8 kilograms after eating, then the rice in the bag is equivalent to the original rice. How many kilograms is this bag of rice?

43. Draw a circle with a perimeter of 12.56 cm, mark the center and radius with letters, and then calculate the area of this circle.

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?

45. 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.

46. 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.

47. 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?

48. 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?

49. 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?

50. The minute hand of the wall clock is 20 cm long. After 45 minutes, how far did the tip of this minute hand move?