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The fifth grade mathematics application problem volume one
Answer: 1. Party A * * * has the first 2,000 yuan, and Party A gives half of it to Party B, and then Party B gives its own 1/3 to Party A, and then Party A gives its own 1/4 to Party B. At this time, Party B has more 650 yuan than Party A. How many are the first two people?

Huanhuan and Xinxin both like collecting stamps. Each of them has a few stamps. Huanhuan gave 1/6 to Xinxin, and Xinxin gave 1/5 to Huanhuan. At this time, each of them has 240 stamps. How many stamps do they each have?

Our school plants trees, among which poplars account for 5/9 of the total, and the rest are willows. Then I bought 20 poplars. This is a willow, and the ratio is 15: 1 1. How many trees have been planted in the school?

The park bought three kinds of saplings. Among them, pine trees account for 30% of the total, and the ratio of poplar to willow is 2: 5. As we all know, there are 40 more willows than pines. How many saplings did a * * * buy?

5. A canal with a length of 1000 km will be built in villages A, B and C, which will benefit the area after completion. The ratio of A village to C village is 3: 1, and 3/4 of B village is equal to 2/3 of A village. Villages are distributed according to the benefit area. How many kilometers each?

There are 840 students in our school. Among them, grades 456 account for 2/3 of the total. It is known that the ratio of students in grades 4 and 6 is 3: 5. Three quarters of the fifth grade is equal to two thirds of the fourth grade. How many people are there in the fourth grade?

7. A set of tables and chairs ***300 yuan, the price of chairs is 7/ 1 1. How much is each table and chair?

8. An operation was originally planned to be completed in 10 day, but it was actually completed in 8 days. How much has the working hours been shortened? How much has the work efficiency improved?

9. There is a bumper harvest of tomatoes in the orchard. When 3/8 of them were picked, some baskets were filled with more than 24 kilograms, and the rest were just filled with 6 baskets when they were picked. Ask * * * how many Jin of tomatoes are picked.

10. A factory has 1300 workers. If we transfer 1/8 male employees and recruit 500 female employees, it means that the number of male employees and female employees is equal. Q: How many people are employed in this factory?

1 1. Three students, A, B and C, do math problems. It is known that A does 6 more questions than B, C does 2 more questions than A and 22 more questions than B. How many questions did they do in one breath?

12. Each party has several books. If Party A gives Party B 45 books, their books are equal. If Party B gives Party A 45 books, the number of books of Party A is twice that of Party B, how many books do they each have?

13. The school has to pave a lawn of 60 square meters, and it has already paved 4/5 square meters. How many square meters are left?

14. The school wants to pave a 60-square-meter lawn, which has been paved for 4/5. How many square meters has it been paved? How many square meters are left?

15. The school wants to dig an 80-meter-long sewer. 1/4 was dug on the first day, and 1/2 was dug on the second day. How many meters have you dug in two days? How many meters are left?

16. There are two boxes of watercolor pens, and each box has 50 pieces. If you take out its110 and put it in box B, there are as many markers in the two boxes. How many watercolor pens are there in Box B?

17. A school conducted a survey on students' employment intentions. Among them, 3/4 students are boys, 1/20 boys want to be teachers, and 3/5 students in the school want to be teachers. So how many girls in the school want to be teachers?

18. Xiaoming read a story book. On the first day, he read 1/9 of the whole book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book?

19. There are two baskets of apples weighing 44 kilograms. If 1 is poured from the first basket and 2.8kg is poured into the second basket, the apples in the two baskets are equal in weight. How many kilograms of apples are there in each basket?

20. Two road teams jointly built a 45-kilometer-long highway. When the task is completed, three-fifths of what Team A built is equivalent to three-quarters of what Team B built. How many kilometers did each team build?

2 1. There are 36 people reading in the school library, and girls account for 4/9. Later, several girls came. Now the number of girls is 3/4 of all the scholars. Then some girls came.

22. The clothing store bought two pieces of clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money?

23. Poplar, fruit tree and peach tree *** 1360. If poplars are reduced by 40%, fruit trees by 70% and peach trees are given 25% overtime pay, there will be as many as three kinds of trees. How many trees will there be per tree?

24. There was a big watermelon. Bajie ate 3/5 and Sha Ai ate the remaining half. Tang Ai and Wukong split the other half equally. How much did Wukong eat the whole watermelon?

25. There are four kinds of fruits in the basket, two kinds of fruits 1 apple, six kinds of fruits 1 pear, eight kinds of fruits 1 banana and1orange. How many fruits are there in the basket?

26. In an art class, the number of people absent from class in the morning is attendance 1, and two people take leave in the afternoon, so the number of people absent from class is attendance 1 1. How many people are there in this art office?

27. Red Star Primary School completed three-eighths of the plan on the first day, the remaining two-thirds on the second day and planted 495 trees on the third day. It turned out to be a quarter more than planned. How many trees were planned to be planted?

28. There are 62 red, yellow and blue balloons, of which three-fifths of the red balloons are equal to two-thirds of the yellow balloons, and there are 24 blue balloons. How many are Red Balloon and Yellow Balloon?

There are 36 students reading books in the school reading room, 4/9 of whom are female students. Later, several female students came. At this time, the number of female students accounts for 3/5 of the readers. Later, several female students came.

30. The master and the apprentice processed a batch of parts together. After processing for a while, the master processed 84 parts. The apprentice processed 63 parts. The master handles more than the apprentice, accounting for 1/28 of all tasks. How many parts are there in this batch?

3 1. Xiaoming reads a book. On the first day, he read 28 pages. The next day, he read 1/5 of the whole book. In two days, * * * read 3/8 of the whole book. How many pages are there in this book?

32. A batch of fertilizer weighs 200 tons. Team B gets 1/4 of the total, and the rest of the fertilizer is divided into 2:3 for teams A and B.. How many tons is the difference between the two teams?

Party A and Party B each have 560 tons of grain. If Party A gives 2/9 of the grain to Party B, the grain of both parties is exactly the same. How many tons do Party A and Party B have respectively?

34. Two trains leave from two stations at the same time. Car A travels 56 kilometers per hour, which is 7/8 of the speed of car B. After 2.5 hours, the distance between the two cars is still 35 dry meters. How many kilometers is the railway between the two stations?

35. It takes Wang Li 28 minutes to walk from home to school and 8 minutes to ride a bike. One day, he goes to school by bike. After walking for 3 minutes, his bike broke down, so he immediately changed to walking. How many minutes will he be late for the whole trip?

36. Two cars, A and B, leave from two places at the same time. Car A travels 40 kilometers per hour, which is 1/5 higher than car B. After 1.5 hours, the distance traveled is exactly 1/4. How many kilometers are the two places apart?

37. A road repair team planned to complete the road repair task in 8 days, and as a result, it completed 2/5 of the plan in the first 3 days. According to this calculation, how many days in advance can the road construction task be completed?

38. The car travels from A to B, the first day 1/4, and the second day 1/5. At this time, the remaining distance is more than the distance already traveled 120 km. How many dry meters is the remaining distance?

39. Two cars A and B are driving in opposite directions from two places 300 kilometers apart. After 2.5 hours, the difference between them is still 25%. It is also known that car A travels 47 dry meters per hour, and how many kilometers does car B travel per hour?

40. The distance between two cities is 1005 dry meters. A bus and a truck leave from these two cities at the same time. The speed of bus is 60 dry meters per hour, and the speed of truck is 3/4 of that of bus. How many hours after the two cars leave, there is still a distance of 60 kilometers?

4 1. A train from A to B traveled 55 kilometers in the first hour and 1/3 in the second hour, when the train just reached the midpoint between the two places. What's the distance between a and b?

42。 The length of the two wires is 242 meters. Cut the first wire 1/5 and connect it to the second wire 28 meters away. At this point, the lengths of the two wires are equal. How long is the first wire?

43. There are three workshops, A, B and C. The number of people in Workshop A is less than that in Workshop C14, and the number of people in Workshop C is 25% more than that in Workshop B. It is known that there are 90 people in Workshop A, so we need the number of people in Workshop B. ..

44. Xiaohua's age this year is 65438+ 0/4 of his father's age, and his father's age is 3/5 of his grandfather's age. Grandpa is 32 years older than Xiaohua's father. How old is Xiaohua this year?

45. A lead wire uses 3/8 of its total length for the first time, 2.2m for the second time and 5/6 for the second time. How many meters was used for the first time?

46. 1 block of wood, for the first time, 1/3 of the total length was used, and 3.5 meters were thrown away for the second time, and the ratio of the rest to the total length was 1: 4. How many meters are left in this forest?

47. A road repair team built a section of road. On the first day, the total length was 1/5 meters, and on the second day, it was 2/7 of the total length, leaving 53 meters unfinished. How long is this road?

48. If the teams of Party A and Party B work together, a project can be completed within 10 days. If Team A works for 4 days and Team B works for 6 days, 7/ 15 of this project will be completed. How many days does Group A need to do this project alone?

49. A batch of books were distributed to students A, B and C. A got 1/5 and 5 of the total, B got 1/4 and 7 of the total, and C got 1/2 of the remaining books, which just accounted for 1/8 of the total. How many books are there in this batch?

50. Build a road, and the number of meters repaired is 3/2 of the number of meters not repaired. If you build another 30 meters, the ratio of the number of meters repaired to the number of meters not repaired is 7: 3. How many meters is this road?

5 1. The escalator runs upward at a constant speed. A boy and a girl walked up the escalator at the same time. Boys are twice as fast as girls. It is known that the boy took 27 steps to reach the top of the escalator, while the girl took 18 steps to reach the top. How many steps are there in the exposed part of the escalator?

52. Two piles of apples are the same weight. The first pile sells for 2/3, and the second pile sells for 50 kilograms. If there are fewer apples left in the first pile than in the second pile, how many kilograms are left in the two piles?

53. Two cars, A and B, start from place A at the same time and travel between place A and place B. It is known that the speed of car A is faster than that of car B. After the first and second encounters of the two cars, they mix with place C. What is the speed of car A?

54. The ship went back and forth from A to B for two hours, and it came back smoothly, 8 kilometers faster than when it went, so the second hour was 6 kilometers longer than the first one. Find the distance between a and B.

55. Two cars, A and B, start from A and B respectively, and keep going back and forth between A and B. It is known that the speed of A car is 15km/h, and the difference between the third venue and the fourth venue of A and B is 100km. Find the distance between a and B.

56. Someone walked along the moving escalator from top to bottom for 7 minutes and 30 seconds, while he only walked along the escalator from bottom to top for 1 minute and 30 seconds. If this person doesn't walk, how long does it take to take the escalator from bottom to top? If there is a power failure, how long will it take this person to walk from the bottom to the top along the escalator?

57. The bottom area ratio of two cylindrical containers A and B is 5: 3. The water depth of container A is 20 cm, and that of container B is 10 cm. Then, the same amount of water is injected into the two containers to make the water depth in the two containers equal. How many centimeters is the water depth at this time?

58. The distance between A and B is 207 kilometers. Two cars, A and B, leave from A to B at 8: 00 at the same time, with speeds of 60 km/h and 54 km/h respectively. Car C leaves from B for A at 8: 30 at a speed of 48km/h. What time is it when the distance between car C and car A and car B is equal?

59. The circumference of a rectangle is 130 cm. If its width increases by 1/5 and its length decreases by 1/8, a new rectangle with the same circumference will be obtained. Find the area of the original rectangle.

60. There is a rectangle with an aspect ratio of 5: 2 and a diagonal of 29 cm. Find the area of this rectangle.

6 1. There is an orchard. Last year, there were 60 more fruit trees than those that did not bear fruit. There are 160 fruit trees bearing fruit this year. At this time, the number of fruit trees that bear fruit is exactly five times that of those that do not bear fruit. How many fruit trees are there in the orchard?

62. Xiaoming walks from A to B, while Li Gang walks from B to A on a motorcycle. 48 minutes later, they met. Li Gang returned to B immediately after arriving at A, and caught up with Xiao Ming 16 minutes after the first meeting. If Li Gang kept going back and forth between A and B, how many times did Li Gang catch up with Xiao Ming when he got to B?

63. Go 100 meters, Xiaoming will go 180 steps, and Dad will go 120 steps. Father and son set out from the same place and the same direction at the same time. If every step takes the same time, how many steps does his father need to take to walk back after 450 meters?

64. A ship sails between two ports at a speed of 6 kilometers per hour. It takes 4 hours to sail downstream and 7 hours to sail upstream. Find the distance between two ports.

65. There are three cars, A, B and C. Each car runs from A to B at a certain speed. B leaves later than C 10 minutes, and catches up with C 40 minutes after departure; A leaves later than B 10 minutes, and catches up with C after 60 minutes. How many minutes did A catch up with B?

66. Party A and Party B cooperate to complete a job. Thanks to their good cooperation, Party A's work efficiency is improved by110, and Party B's work efficiency is improved by 1/5. Party A and Party B cooperated for 6 hours to finish the work. If Party A does it alone, it needs 1 1 hour.

67. Five students, A, B, C, D and E, stand in a horizontal row with 20 flags in their hands. Now we know that the students standing on the right of C * * * are holding the flag of 1 1, and the students standing on the left of B * * * are holding the flag of1. How many flags are there in each?

68. Xiaoming ran a circle on the 360-meter-long circular runway. He is known to run 5 meters per second in the first half and 4 meters per second in the second half. How long did it take him in the second half?

In order to measure the length and speed of the passing train, Xiaoying and Xiaoming took two stopwatches. Xiaoying used a watch to record the time that the train passed in front of him was 15 seconds, and Xiaoming used another watch to record that the first wire passed by the front of the train.

It takes 18 seconds for the telephone pole to pass through the second telephone pole in the rear. Assuming that the distance between two telephone poles is 60 meters, find the total length and speed of the train.

70. Xiaoming walks from home to school in the first half and rides a bike in the second half. Go home from school, take the bus for the first time 1/3, and walk for the second time 2/3. As a result, I spent 20 minutes more time at school than at home. How many kilometers is Xiaoming's distance from home to school?

7 1. Math exercise * * * was held for 20 times, and * * * gave 374 questions. The number of questions generated each time is 16, 2 1, respectively 16, 2 1, and how many times are 24 questions?

72. Divide an integer by 2 to get 1, divide the obtained quotient by 5 to get 4, and then divide the obtained quotient by 6 to get 1. What is the remainder when this integer is divided by 60?

73. Young Pioneers planted twice as many apple seedlings as pear seedlings on campus. If each race has three pear seedlings, there will be two left. If everyone plants seven apple saplings, there will be six fewer. How many young pioneers are there? How many apples and pears are there?

74. A person has to walk 200 kilometers from City A to City B by car. At first, he was driving at a speed of 56 kilometers per hour, but it took him half an hour to stop and repair it because of the car failure. In order to arrive on time, he had to increase the speed to 1.4 km per hour. After running, how many kilometers is the place where he repaired the car from A city?

75. Two people, A and B, set out from A and B at the same time and walked towards each other. The speed of B is 2/3 of that of A. After they meet, they move on. When A arrives at B, B returns immediately. It is known that the place where they met for the second time is 3000 meters away from the place where they met for the first time. Find the distance between a and B.

76. A ship is sailing between Port A and Port B. It is known that the speed of the ship in still water is 9 km/h, and the ratio of the time spent in retrograde and forward is 2: 1. One day, because of the rain, the water flow was twice as fast as before. It takes 10 hour for the shuttle to go back and forth. What is the distance between port A and port B?

77. A school entrance examination, admission scores. Among the students who applied, only 1/3 was admitted, and the average score of the admitted students was 6 points higher than the admission score. The average score of students who are not admitted is lower than the admission score 15, and the average score of all candidates is 80. What is the admission score?

78. A group of students moved bricks. If 12 people move 7 bricks each, and the rest move 5 bricks each, then the last remaining 148 bricks; If 30 people move 8 pieces each and the rest move 7 pieces each, there will be 20 pieces left in the end. Ask the students * * * How many are there? How many bricks are there?

79. Two cars, A and B, are driving in opposite directions from A and B at the same time. It is known that the speed ratio of A and B is 4: 3, C is between A and B, and the time for A and B to arrive at C is 8 am and 3 pm respectively. When did they meet?

80. In a chess match, the scoring method is: the winner gets 2 points, the loser gets 0 points, and both sides get 1 point. Each player plays against other players once. Now it is known that boys are 10 times as many as girls, but the total score is only 4.5 times as much as girls. How many girls are there? How many points do girls get?

8 1. There are several natural numbers whose arithmetic mean is 10. If the largest one is removed from these numbers, the remaining arithmetic average is 9; If the smallest one is removed, the remaining arithmetic average is 1 1. What are these numbers at most? What is the largest of these figures?

82. There are 35 Young Pioneers in one class and 23 boys in this class. How many girls are young pioneers in this class than boys who are not young pioneers?

83. Xiaodong plans to visit the ape-man site in Zhoukoudian. If he drives at a speed of 40km/h, he will arrive three hours earlier than by bike. If he walks at a speed of 8 km/h, he will arrive five hours later than by bike. How many kilometers is the starting point of Xiaodong from Zhoukoudian?

84. Two ships, A and B, are sailing on the river 90 kilometers apart. If driving in the opposite direction, we will meet in 3 hours. If driving in the same direction, a ship will need 15 hours.

Catch up with ship B and find the speed of ships A and B in still water.

85. There are 90 students in two classes in Senior Two, including 765,438+0 young pioneers, 75% in Class One and 5/6 in Class Two. How many young pioneers are there in Class One than in Class Two?

86. A container has been filled with water, and there are three balls in it. The first time, the small ball sank into the water, the second time, the middle ball sank into the water, and the third time, the middle ball and the big ball sank into the water together. Now we know the amount of water that overflows from the container every time: the first time is 1/2, the second time is, and the third time is.

87. Some people spent 2 hours climbing the mountain and 2.5 hours returning. His climbing speed is 3000m/h, and his downhill speed is 4500 m/h. How many meters does it take to climb the mountain?

88. The length of each raw steel bar is 7.3 meters, and each set of steel bar shelves is made of 2.4 meters, 2. 1 m and 1.5 meters respectively. Now we need to tie 100 sets of steel frames. How many raw materials should be used at least?

89. There is a copper-zinc alloy in which the ratio of copper to zinc is 2: 3. It is now known that after adding 6 grams of zinc, 36 grams of new alloy will be obtained after melting. What is the ratio of copper to zinc in the new alloy?

Xiao Ming usually goes to school on foot. One day, he wanted to do some exercise. He runs fast before 1/3, and jogs in the second half, which is twice as fast as walking. So Xiao Ming arrived at school 35 minutes earlier than usual. How many minutes does it take Xiao Ming to walk to school?

9 1. There are three people, A is three years older than B, and B is two years younger than C. The sum of the three people's ages is 109. Find out the ages of A, B and C respectively.

92. The express train departs from Station A to bilibili at a speed of 60 km/h. After 1.5 hours, the local train departs from Station A in bilibili at a speed of 40 km/h. When the two cars meet, the meeting point is 70 km away from the midpoint of the two stations. How many kilometers are the two stations apart?

93. Bus A and Bus B leave school for the museum at the same speed. It is known that the distance between 8:32 A train and school is three times that of B train, and the distance between 8:39 A train and school is twice that of B train.

94. In a working group, each worker can produce a batch of parts in seven hours by working in his own post. If the positions of workers A and B are reversed, the batch of parts can be completed 1 hour in advance. If workers C and D switch places, other things being equal, they can also be moved forward 1 hour.

95. Make a cuboid with 10 cuboid blocks 7 cm long, 5 cm wide and 3 cm high. What is the minimum surface area of this cuboid?

96. There are only two kinds of tickets for the public circle: individual tickets for 5 yuan, group tickets for 10 people for 30 yuan, and group tickets for 10 or more with a discount of 6.5438+00. (1) According to the above regulations, how much should 45 people from Company A pay to visit the park? (2) How much does it cost for 208 people in Unit B to go to the park to buy tickets according to the above regulations?

97. A, B and C scored 260 points. It is known that 1/3 of grade A and 1/4 of grade B are equal to half of grade C minus 22 points. What's the c score?

98. For a project, Party A and Party B cooperate for four days, and Party B completes it alone for five days. It is known that Party A finishes more than Party B every day 1/30. How many days does it take for Party A and Party B to do this project alone?

99. There are two candles, one is long and the other is short, and they burn at the same time. The sum of their lengths is 56 cm. After they are lit at the same time for a period of time, the length of the long candle is as long as that of the short candle before lighting, and then the short candle is exactly 2/3 of that of the long candle. How long does it take to light a long candle?

100. There are chickens and rabbits in the cage, 32 heads, 104 feet. How many chickens and rabbits are there?

My hands are red, ah! It hurts!