1. A batch of grapes weighed 250 kilograms when they entered the warehouse, and the measured moisture content was 99. After a while, the measured moisture content was 96. How many kilograms did the grapes weigh at this time?

2. There was a general cleaning in the fifth grade. The original plan was to send one student to weed the playground and the other students to sweep the floor. During the actual work, two more students participated in the weeding. In this way, the number of people weeding was equal to the number of people sweeping the floor. How many students are you planning to send to weed?

3. There are 112 books on the two floors. If the books on the second floor are moved to the first floor, the number of books on the two floors is equal. How many books are there on the second floor?

4. The original ratio of male to female students in Guangming Primary School was 7:5. Later, 12 girls were transferred. At this time, the ratio of male to female students was 9:7. How many girls are there in the school now?

5. A 5.6-meter-long bamboo pole is inserted into the pool, exposed to the water, and the rest is inserted into the mud. How many meters deep is the pool?

6. The agricultural company transferred people from the first team to the second team. At this time, the people in the second team happened to be from the first team. It is known that the second team originally had 22 people, and the first team How many people were in the team?

7. Xiao Ming planned to spend 20 days reading a book, but ended up reading 40% of the book in 5 days. At this speed, how many days in advance can he finish reading? (Proportional answer)

8. There is a pile of fruits, and apples account for 45%. After adding 16 kilograms of pears, apples account for 25%. How many kilograms of apples are there in this pile of fruits?

9. Make a cube into the largest cylinder. It is known that the volume of the cylinder is 392.5 cubic centimeters. How many cubic centimeters is the volume of the cube?

10. The experimental school sent 60 players to participate in the "Children's OK Competition", of which 60 were female players. During the official competition, several female players were absent for some reason. In this way, the number of female players became In terms of the total number of players, how many female players are officially participating?

11. A cylindrical glass is filled with water. The depth of the water is 2.5 cm. The bottom area of ??the inside of the glass is 72 cm2.

After placing a cube of iron with an edge length of 6 cm in this cup, the water does not submerge the iron and the water does not overflow. How many centimeters is the depth of the water?

12. The kindergarten purchased some books. The science and technology books are picture books and story books. The picture books are science and technology books and story books. There are 15 story books. How many science and technology books and picture books are there? Book?

13. A water conservancy project needs to be completed by Team A and Team B in 30 days. If the two teams work together for 12 days, Team B will do the rest alone and complete it in another 24 days. Team A and Team B will do the project alone. How many days does each take?

14. There are two classes A and B in the fourth grade of Gongnong Primary School. The number of people in class A is the same as that of class B. If 3 people are transferred from class B to class A, the ratio of the number of people in class A and class B is 4:5. How many people did Class A and Class B have in each group?

15. A water conservancy project took 8 days to complete by A alone, and 4 days by B alone. A and B cooperated, and A took 1 day off due to illness. When the task was completed, B worked for several days. ?

16. It takes 10 hours for a passenger car to travel from point A to point B, and 15 hours for a truck to travel from point B to point A. The two vehicles are traveling in the opposite direction from both places at the same time. When they meet, the passenger car travels farther than the truck. 80 kilometers, what is the distance between A and B?

17. In a class meeting, the number of people who asked for leave was the number of people present. During the meeting, another person asked for leave and left. In this way, the number of people who asked for leave was the number of people who were present. How many students are there in this class?

18. To produce a batch of parts, it takes a master 8 hours to complete it alone. It is known that the work efficiency ratio of master and apprentice is 4:3. How much time does it take for an apprentice to complete it alone? (Proportional solution)

19. A certain self-employed businessman transported 385 kilograms of tomatoes and eggplants. The tomatoes were sold. After the eggplants were sold, the quality of the remaining two vegetables was equal. Please transport tomatoes and eggplants. How many kilograms of eggplants each?

20. The weight ratio of the two bags of rice between A and B is 3:10. If B gives A 20 kilograms, the weight ratio of the two bags of rice between A and B is 7:6. Find the original weight of each of the two bags of rice. kilogram?

21. Two wooden sticks, A and B, are in the pool. The sum of the lengths of the two wooden sticks is 190 centimeters. Stick A is above the water and stick B is above the surface. What is the depth of the water in centimeters?

22. Two cars A and B are traveling towards each other from east to west at the same time. It is known that the speed ratio of A and B is 2:3. It takes 5 hours for car A to complete the journey. Find out how many seconds it will take for the two cars to leave. Meeting in hours?

23. The production of one forklift has been reduced by 4.5 hours from the original 7 hours. The original production was 140 units per day. How many units are produced per day now? (Use positive and negative proportions to solve)

24. A job takes 40 days for A to do alone and 60 days for B to do alone. Now the two of them work together to do it. A took a few days off due to illness. It was completed in 27 days. How many days did A have to rest?

25. When reading a book, the ratio of read to unread is 3:4. If you read another 50 pages, the number of read is twice as many as unread. This book*** How many pages are there?

26. There are two gears, a large one and a small one, that mesh with each other. The large gear has 48 teeth and the small gear has 32 teeth. If the large gear rotates 100 times per minute, how many times will the small gear rotate in 20 seconds? (Proportional solution)

27. It takes 6 hours for a passenger car to travel from point A to point B, and 4 hours for a truck to travel from point B to point A. Now the two vehicles depart from place A and point B at the same time and travel opposite to each other. , ended up meeting 18 kilometers away from the midpoint. How many kilometers did the truck travel when they met?

28. The ratio of the weight of the original goods in warehouse A and warehouse B is 7:5. If warehouse A gives 26 tons to warehouse B, then warehouse A belongs to warehouse B. How many tons of goods does warehouse A originally have?

29. After cutting off a circular iron sheet with a radius of 30 cm, roll the remaining part into a lampshade. What is the radius of the circle at the bottom of the lampshade?

30. Divide the base of a 4-centimeter-high cylinder into several sectors, then cut the cylinder and piece it together into an approximate cuboid with the same base and height. The surface area of ??the cuboid is larger than that of the cylinder. If the surface area of ??the body increases by 120 square centimeters, what is the original volume of the cylinder?

31. There is a pile of fruits, and apples account for 45%. After adding 16 kilograms of pears, apples account for 25%. There are more apples in this pile of fruits.

Less kilograms?

32. A fruit warehouse shipped 400 kilograms of a fruit with a moisture content of 90. It was tested again a week later and found that the moisture content had dropped to 80. What is the total weight of this batch of fruits now?

33. Two cars A and B start from places a and b at the same time and drive towards each other. A travels 80 kilometers per hour and B travels 10 kilometers per hour. When B reaches the full distance, A The car then travels the whole distance until it reaches point b. How many kilometers are there between places a and b?

34. The weight of the two piles of coal is equal. Take 2.5 tons from pile A and put it into pile B. At this time, the weight ratio of the two piles of coal in A and B is 3:5. Find the number of tons of original coal in pile A. ?

35. The school purchased several new science and technology books and story books, and science and technology books accounted for the total number. Later, it purchased 80 science and technology books. At this time, science and technology books accounted for the total number of books. The school originally* **How ??many books have you purchased?

36. It takes A 4 hours to cover the distance between the east and west towns, and 6 hours for B to complete the journey. If A starts from the east town and B starts from the west town at the same time and walks towards each other, when they meet, A will be better than the other two. If B travels 12 kilometers, what is the distance between the east and west towns?

37. A project was completed by team A and team B in 8 days. Team A worked on it alone for 12 days, and team B worked on it alone for 6 days. At this time, the entire project was completed. How many days did it take for team A to do the project alone? ?

38. The ratio of the number of people in the school’s art interest group and the music interest group is 5:4. Seven more people joined the art interest group midway. At this time, the ratio of the two groups was 8:5. The original two How many people are there in each interest group?

39. It takes the master 5 minutes to make one part and the apprentice 9 minutes to make one part. If the master and apprentice cooperate on 168 pieces, how many pieces can each make?

40. A project requires two teams, A and B, to work together for 12 days to complete the project. Team A will do the work alone for 6 days, and then team B will do the rest for 21 days to complete the project. If Team B does it all, how many days will it take to complete it?

41. A project will be completed in 20 days by Team A alone, and 30 days by Team B alone. After A and B worked together for 30 days, B asked for leave due to personal reasons. It took 14 days from start to finish. How many days did B ask for leave?

42. It takes 10 hours for a passenger car to travel from place A to place B, and for a truck. It takes 15 hours to travel from point B to point A. The two cars are traveling in the opposite direction at the same time. When they meet, the passenger car travels 80 kilometers further than the truck.

What is the distance between A and B?

43. There are 270 parts. A can complete it in 5 days, and B can complete it in 4 days. Divide these parts between two people. If they want to complete the parts at the same time, each person can complete it at the same time. How many should be divided?

44. The time it takes for the farm tool factory to produce each farm tool has been reduced by 4 or 5 minutes from the original 7 minutes. It used to produce 140 farm tools per day. How many farm tools are now produced per day? (Use Direct and inverse proportional solution)

45. To pave a workshop with square bricks with a side length of 4 decimeters, 16OO blocks are needed; now it is paved with square bricks with a side length of 5 decimeters. How many pieces are needed? (Proportion)

46. There are two gears, large and small, that mesh with each other. The large gear has 96 teeth and the small gear has 16 teeth. If the large gear rotates 1OO times per minute, the small gear will How many revolutions does it take in 40 seconds? (Proportion)

47. There is a pool of water. When the water turns into ice, its volume increases by l/11; when the ice turns into water, the volume decreases by a few minutes. How many?

48. First take 168 light bulbs from a box, and then take away the remaining 2/3, leaving 1/7 of the total number. How many light bulbs are there in this box?

49. Originally, 1/5 of the sixth grade students participated in the extracurricular activity group. Later, 2 students joined the extracurricular activity group. The actual number of participants was 1/3 of the remaining students. How many students originally participated in the extracurricular activity group? Activity group?

50. The original number ratio of the two training teams A and B was 4:3. 48 people were transferred from Team A to Team B. Now the ratio of the number of people in the two training teams is 2:3. Find How many people did Team A originally have?

51. The number of machines produced by a factory in the first, second and third quarters is 75 for the whole year, and the machines produced in the third and fourth quarters are 45 for the whole year. It is known that the number of machines produced in the first, second and third quarters is 75 for the whole year. There are 2OO machines produced in the third quarter. How many machines does this factory produce throughout the year?

52. A job is equally divided between A and B. It takes A 5 hours and B 8 hours to complete. How many hours can two people work together to complete the task?

53. There are 168O tons of grain stored in warehouses A and B. 3/4 of the grains are transported from warehouse A and 2/3 of the remaining grains are transported from warehouse B. If the grain is equal, how many tons of grain are there in the two warehouses A and B?

54. The average score of a certain class in the exam is 7O points, and 3/4 of them passed. Their average score is 8O points. Find The average score of those who failed?

55. A ship travels 10 kilometers per hour along the current and 6 kilometers per hour against the current. Find the average round-trip speed of the ship?

56. The sum of A, B is 52, the sum of A, C is 55, the sum of B, C is 57, what are the sums of A, B and C?

57. The clock strikes 4 at 4 o'clock. If you knock 12 o'clock 12 times, how many seconds will it take to finish knocking? (Tree planting problem) 58. A profit of 96O yuan can be obtained by selling a certain commodity at the price. If you sell it at a price of 80, you will lose 832 yuan. What is the purchase price of the product? (Profit question) 59. The concentration is 10 and the weight is 80 grams of sugar water. How many grams of sugar are added to make the concentration 20 Sugar water? (Concentration problem)

60. A round steel section with a radius of 5 cm is placed in a cylindrical water storage bucket. If all of it is put into the water, the water in the bucket will rise by 9 cm. ; If the round steel in the water is 8 cm above the water surface, then the water in the bucket will drop by 4 cm. Find the volume of the round steel?

61. Divide the bottom surface of the cylinder into 40 equal parts, and then divide It is cut and assembled into an approximate rectangular parallelepiped. It is known that the circumference of the base of a rectangle is 16.56 cm and the height is 8 cm. Find the volume of the cylinder? (Hands-on operation)

62. Passenger ships and cargo ships depart from ports A and B at the same time and opposite to each other. A passenger ship sails from Port A to Port B, traveling 30 kilometers per hour; a cargo ship sails from Port B to Port A, traveling 1/36 of the entire distance per hour. When the passenger ship is 18O kilometers away from Port A, the cargo ship is exactly 12O kilometers away from Port B Kilometers. How many kilometers are there between ports A and B?

63. There are three extracurricular groups in Shengli Primary School: the science and technology group has 10 people, accounting for 20 of the total number of people in the three groups. The ratio of the literature group to the sports group is 3 : 2. How many people are there in the sports team?

64. The autumn harvest is over, and Uncle Zhang harvests a pile of rice.

After leaving enough rations, he planned to sell the remaining rice. He learned about the market conditions beforehand: rice is 1.50 yuan per kilogram, rice is 2.20 yuan per kilogram, and the rice yield rate is 70. For example, after the rice is processed into rice, the bran money can be used to offset the processing fee. Could you please help me calculate it? Is it cost-effective for Uncle Zhang to sell the rice, or is it more cost-effective to process the rice into rice first and then sell it?

65. During the construction of the Jingjiang City Access Project, Xieqiao Town originally planned to spend two months laying a 5,000-meter-long, 12-meter-wide, and 25-centimeter-thick cement road from the Xieqiao Bridge to Dajue. . 40 paved roads were paved in the first 25 days. According to this progress, can this road be completed as scheduled? (Use different methods to solve the problem and get extra points for doing more)

66. Xiao Ming had a certain amount of money. After using 2/5 for the first time, he got another 240 yuan. He spent this money for the second time. After 1/3 of all the money was spent, 72O yuan was left. How many yuan was used for the first time? (Backward calculation)

67. There are 135 students in Class A and Class B. Class A has 135 students. The sum of 4/7 of the number of people and 4/5 of the number of people in Class B is 92 people. How many students are there in each of Class A and Class B? (Hypothesis method)

68. Operation question: There are 5 of the same The big cake should be divided evenly among 6 little friends, so that each child gets 2 pieces, and everyone holds it in the same way. How should it be divided? Draw a diagram.

69. Wang Hong is 9 this year. Years old, Wu Jiang is 19 years old this year. A few years ago, Wu Jiang's age was three times that of Wang Hong? (Age issue)

A project takes 15 days to be completed by Team A alone, and it takes 15 days for Team B to complete it alone. It takes 12 days to complete. After how many days the two teams have worked together, it will take 3 days for Team B to complete the remaining work alone. How many days did Team A and Team B work together?

70. Two groups A and B produce a batch of parts at the same time. Group A alone takes 5 days to complete, and group B alone takes 3 days to complete. The two groups worked together to make 1,600 parts in one day. How many parts are there in this batch?

71. In a rectangular glass jar filled with water, there is a cylindrical steel ingot with a bottom area of ??3.14 square decimeters. When the steel ingot is taken out of the glass jar, the water level in the jar drops by 0.5 Decimeter, it is known that the bottom area of ??this rectangular glass jar is 28.26 square decimeters. What is the length of this cylindrical steel ingot in decimeters?

72. Two cars A and B drove away from places A and B respectively at the same time. After driving for 4 hours, the two cars passed each other and were 75 kilometers apart. It is known that A and B The car can travel 24/7 of the entire journey per hour. How many kilometers are there between places A and B?

73. Taxi charging standards in a certain city are as follows:

Mileage charge/yuan

10.00 for less than 5 kilometers

5 kilometers Above, 1.20 for each additional kilometer

① When the taxi mileage is 15 kilometers, it should be charged ( ) yuan;

② Now you have 30 yuan, you can take a taxi The maximum mileage of the car is ( ) kilometers.

74. The length, width and height of a cuboid are 3, 2 and 1 centimeters respectively. A bug starts from a vertex and crawls along the edges. If asked not to repeat the route, the bug will return to the starting point. At the top of the hour, the longest path taken is ( ) cm

75. The original weight ratio of cement between the two construction teams A and B is 4:3. When Team A gives Team B 54 tons of cement, A and B The weight ratio of cement in the two teams is 3:4.

How many tons of cement does Team A have?

76. After a cylinder with a diameter of 10 cm is cut longitudinally along the diameter, the surface area increases by 200 square centimeters. What is the original volume of the cylinder in cubic centimeters?

77. The cylindrical container A is empty, and the water depth in the rectangular container B is 6.28 cm. If all the water in container B is poured into container A, how many centimeters is the water deep at this time?

A and B

(Unit: cm)

78. The factory produces one part in 5 minutes from the original 8 minutes. It originally produced 150 parts per day. How many parts can be produced per day now?

79. It takes 35 minutes to walk from home to school tomorrow, and only 10 minutes to ride a bicycle. He set off from home on a bicycle. Eight minutes later, the bicycle broke down and he switched to walking. How many minutes did it take for Xiao Ming to get from home to school?

80. There are two engineering teams A and B. If 30 people are transferred from Team A to Team B, the number of people in the two teams will be equal; if 10 people are transferred from each team, then the remaining number of people in Team B will be It is 25 of the remaining members of Team A. How many people did each team have?

81. The fast and slow trains depart from A and B opposite each other. The express train travels the entire distance of 11 kilometers before the slow train departs. When they met, the slow train had traveled the entire distance. It is known that the speed ratio of the fast and slow cars is 5:4. How many kilometers are there between places A and B?

82. The sum of the lengths of all edges of a rectangular wooden block is 108 centimeters, and the ratio of its length, width, and height is 4:3:2. Now we need to cut this cuboid into a cylinder with the largest volume. What is the volume of this cylinder in cubic centimeters?

83. There are 282 books on the two bookshelves. 3/4 of the number of books on bookshelf A is equal to 5/9 of the number of books on bookshelf B. How many books are there in each of the two bookshelves

84. Please fill in the code number ( ) in parentheses if the following is correct

A. The area of ??a circle is proportional to its radius;

B. The volume of a cube is proportional to its edge length;

C. The area of ??a triangle is directly proportional to its height;

D. If the area of ??a rectangle is constant, its length and width are inversely proportional.

85. A washing machine factory plans to produce 8,500 washing machines this year. The quantity ratio of type (1) to type (2) is 1:2, and the quantity ratio of type (1) to type (2) is 3:4. The planned production of these three washing machines is _________, _________, and __________.

86. Student Zhang Songguang has a certain amount of savings. He used the money to buy treasury bills and the rest from various reference books. In the end, he had 80 yuan left. How much is his original savings?

87. The picture on the right is a bicycle. The driving wheel has 54 teeth, the driven wheel has 18 teeth, and the diameter of the rear wheel is 1 meter. If you pedal 2 times per second (that is, the driving wheel rotates 2 times), then this A bicycle can travel ____________ kilometers in one hour.

88. As shown in the figure, an object consists of three cylinders. Their radii are

0.5 decimeters, 2 decimeters, and 5 decimeters, and the heights are all 2 decimeters. meters, then

. The surface area of ??this object is ( ) square decimeters

89. There are 51 students in a school who are boys. The boys want to be admitted to Peking University in the future, and the whole school wants to be admitted to Peking University. Some of the students are boys. What percentage of the girls in the school want to get into Peking University? (10 points)

90. Build a road. The ratio of the repaired and unbuilt lengths is 1:4. After building another 75 meters, the ratio of the repaired and unbuilt lengths is 8: 17. Then the length of this road is ( ) meters.

91. There is a piece of cloth that can be used to make 4 sets of adult clothes or 7 sets of children's clothes. It is known that one set can be made

92 , A birthday cake, each piece cut into five equal parts weighs 80 grams more than each piece cut into seven equal parts. How many grams does this birthday cake weigh?

93. Choose an appropriate scale and draw this test paper in the box below.

Scale bar: __________

94. Comparing the crowding levels of the two pools, the result is ( ).

(1) Pool A is crowded (2) Pool B is overcrowded (3) Both pools are the same

95. The weight ratio of the original cement of the two construction teams A and B is 4: 3. When Team A gives Team B 54 tons of cement, the weight ratio of cement between Team A and Team B is 3:4. How many tons of cement does Team A have?

96. There are ***1,600 kilograms of green vegetables and radish in the market. It is known that radish accounts for 60% of it. Later, another batch of green vegetables was shipped. At this time, the weight ratio of radish and green vegetables was 4:3. Question How many kilograms of vegetables are there in the market now?

97. A cylindrical water pipe with an inner diameter of 20 cm and a water flow speed of 4 meters per second. How many cubic meters of water can flow through this pipe in one minute?

98. There is a round steel with a length of 20 cm and a radius of 2 cm. A small conical hole with a depth of 4 cm and a bottom radius of 2 cm is drilled at each end of it to make a Part, as shown in the figure, what is the volume of this part in cubic centimeters?

99. A cylindrical bucket with a height of 3 decimeters and a base diameter of 20 cm is filled with water. An iron cone with a base diameter of 18 cm and a height of 15 cm is placed in the water. When What will happen to this iron cone after it is taken out? What was the result?

If the chorus transfers 6 people to the track and field team, then the ratio of the chorus to the track and field team is 3:4. How many people are there in the chorus?

101. In a circle, make a square with its radius as the side length. It is known that the area of ??the square is 16cm2 ??and the area of ??the circle is ().

102. There are two piles of coal. It turns out that the ratio of coal storage in the first pile and the second pile is 12:7. From the first pile

103. There are two granaries. It turns out that Warehouse A stores 1.5t more grain than warehouse B. After transporting 9.9t from warehouse A,

104. The express train drives from place A to place B, and the slow train runs from place B to place A. The two cars are facing each other at the same time. They drive out, meet each other in 8 hours, and then continue driving for 2 hours. At this time, the express train is still 250km away from point B, and the slow train is still 350km away from point A. How many kilometers is the distance between place A and point B?

105. In a rectangular glass jar filled with water, there is a cylindrical steel ingot with a bottom area of ??3.14 square decimeters. When the steel ingot is taken out of the glass jar, the water level in the jar drops by 0.5 Decimeter, it is known that the bottom area of ??this rectangular glass jar is 28.26 square decimeters. What is the length of this cylindrical steel ingot in decimeters?