1. The grain store sent 30 bags of rice and 40 bags of flour, one * * * is 2500 Jin, and each bag of rice is 50 Jin. How many kilograms is each bag of flour?
The plane flies 860 kilometers per hour, 20 kilometers more than the train. How many kilometers does this train run per hour?
3. Two cars, A and B, left from two places 480 kilometers apart at the same time and met after 3.2 hours. It is known that car B travels 72 kilometers per hour, and how many kilometers does car A travel per hour?
Two ships, A and B, sail from Shanghai to Wuhan at the same time. Spaceship A travels at a speed of 24 kilometers per hour, 8. In 5 hours, Ship A overtook Ship B by 5 1 km. What's the speed of the B ship?
There are 126 cypresses and poplars in the school, and the number of cypresses is six times that of poplars. How many cypresses and poplars are there?
6. The price of air conditioner is three times that of TV set. The school bought an air conditioner and four televisions, which cost 8400 yuan. How much is an air conditioner and a TV set?
7.8 baskets of apples weigh 40 kilograms more than 8 baskets of pears. As we all know, a basket of pears weighs 20 kilograms. How much does a basket of apples weigh?
8. To build a road with a length of 1960m, it is necessary to build 80m a day first. Eight days later, in order to complete the project as soon as possible, it is planned to build 120m in one day. How many days will it take to finish it?
9. Dad is 36 years older than Xiao Fang this year. It is understood that Dad is four years older than Xiao Fang this year. How old are Dad and Xiao Fang this year?
10.A and B two cars leave relatively from two places 420 kilometers apart at the same time. The speed of a car is 1. It's five times that of B car, and we met after 2 hours. Four hours. How many kilometers do cars A and B travel per hour?
Fifth grade application exercises (2)
Choose the appropriate method to solve the following application problems.
1. A cow weighs 850 kilograms, and an elephant weighs more than five times that of this cow, which is 500 kilograms. How much does this elephant weigh?
2. The number of students in Guangxin Primary School is less than that in Hongyang Middle School 1260. It is known that the number of students in Hongyang Middle School is 2. It is five times that of Guangxin Primary School. How many people are there in Hongyang Middle School and Guangxin Primary School?
Xiaolan and Xiao Fang walked in opposite directions from one point on the circular runway at the same time. Xiaolan walks 65 meters per minute, and Xiao Fang walks 75 meters per minute. After 2. Five minutes later, they met. What is the total length of this circular runway?
4. On Arbor Day, students planted 12 rows of poplars, 8 rows of Chinese fir trees, 300 trees in a row, each row 15 trees. How many poplars are there in each row?
The circumference of a rectangle is 64 cm, and the known length is three times the width. What is the length and width of this rectangle?
6. A triangular land with an area of 60m2 and a known base of15m. How high is it?
7. The garment factory wants to produce 6,500 suits, which has been produced for 15 days, with an average of 200 suits per day. The remaining 50 sets will be produced every day. How many days will it take to complete?
8. Two cars, A and B, leave from two places 665 kilometers apart at the same time. The average speed of a car is 82 kilometers per hour, and the average speed of b car is 82 kilometers per hour.
The hourly journey is 73 kilometers, and the difference between the two cars is still 45 kilometers after a few hours.
9. Young Pioneers went to the orchard to pick apples, and picked 14 baskets in the morning, each weighing 25kg; I picked 18 baskets in the afternoon. On this day, I picked 890 kilograms. How many kilos are there in each basket of apples picked in the afternoon?
10. A pen and a ballpoint pen * * * is 8. 3 yuan, the price of a pen is more than twice that of a ballpoint pen. 0.8 yuan. How much is a pen and a ballpoint pen?
Application practice of fractional multiplication and division
Name:
1, Grade 6 students collected 180 cans, of which 1/3 was collected by Class 1 and 2/5 by Class 2. How much do you charge for each class?
2. Xiaohong weighs 42kg, Xiaoyun weighs 40kg, and the weight of Xiao Xin is equivalent to 1/2 of the total weight of Xiaohong and Xiaoyun. How much does Xiao Xin weigh
Students from three classes in Grade Six help the library to make up books. Class one has repaired 54 books, class two has repaired 5/6 of class one, and class three has repaired 4/3 of class two. How many repair books are there in Class Three?
4, a bucket of water, used 3/4 of it, used 15 kg. How much does this bucket of water weigh?
There is a 4-hectare orchard, and apple trees account for 3/4 of the orchard area. How many hectares does this apple tree cover?
6. Xiaoli has more 12 color pictures than Xiaolan, which is exactly equivalent to 3/ 10 of Xiaolan's picture. How many color pictures does Xiaolan have? How many sheets does Xiaoli have?
7. There are11students in the sixth grade, which is equivalent to 3/4 of the students in the fifth grade. How many people are there in the fifth and sixth grades?
8. Xiaogang's family bought a bag of flour and ate 15 kg, which is exactly 3/4 of this bag of flour. How many kilograms is left in this bag of flour?
9. There are 30 people in bright primary school Art Group, biology group13 and model airplane group 4/5. How many people are there in the model airplane group?
10. There are 2400 geese on a farm. The number of geese is 3/4 of that of ducks, and the number of ducks is 4/5 of that of chickens. How many chickens are raised on the farm?
1, a rectangle is 4 decimeters long, 2.5 decimeters wide and 3 decimeters high. How many cubic decimeters is its volume?
2. A cuboid bunker is 4m long, 2m wide and 0.5m deep. If the yellow sand weighs 1.4 tons per cubic meter, how many tons does it weigh?
3. A cuboid with a bottom area of 30 square decimeters and a height of 3 meters. How many cubic decimeters is its volume?
Our school will paint the classroom, which is 8 meters long, 7 meters wide and 3 meters high. After deducting the area of doors, windows and blackboards, it is known that 5 yuan painting costs per square meter. How much does it cost to paint a classroom?
A commodity box is a cube with a side length of 6 cm. What is the maximum area of a box with a trademark?
6. How many cuboid blocks with a length of 8cm, a width of 12cm and a height of 5cm can be sawed into cubes with a length of 2cm?
7. A rectangular piece of wood with a square bottom is 5 meters long. Cut into 4 sections to increase the surface area by 36 square meters. What is the volume of this cuboid?
8. The number of students in Class 3, Grade 5 in Shengli Primary School who reached the standard was 24, and the number of students who failed to meet the standard was 12. What percentage of students in this class have reached the standard?
9. Master Wang processes 34 parts in 6 hours, and Li Shifu processes 40 parts in 7 hours. Who is more efficient?
10. A book has 185 pages. After reading 95 pages, what percentage of this book have you read? What percentage of unread pages are in this book?
1 1, Class A and B * * 83, Class B and C * * 86, Class C * * 85. How many people are there in each class?
12, 2 cows and 4 sheep graze 27kg a day, 6 cows 15 sheep graze 90kg a day, 1 cow 1 sheep graze how many kilograms a day?
14, 4 basketballs and 3 volleyballs * * cost 14 1 yuan, 5 basketballs and 4 volleyballs * * cost 180 yuan. How much is basketball and volleyball each?
15, Xiao Qiang bought 5 boxes of sugar and Xiaohong bought 5 boxes of cakes to go to 44 yuan. If Xiao Qiang and Xiaohong exchange a box, the price of everything will be equal. How much is a box of sugar and a box of cake?
16, with 10 red ball black ball * * *, 7 red ball white ball * * *, 5 black ball white ball * * *. How many balls are there in each of the three kinds?
17. There are three people: Party A, Party B and Party C. Party A walks120m per minute, Party B walks100m per minute and Party C walks 70m per minute. If three people start from the same direction and walk along a circular runway with a circumference of 300 meters, how many minutes will the three people meet again?
18. Workers of Party A and Party B work together to process a batch of parts, with an average of 24 pieces per person. If A is processed separately, each person needs to process 16 pieces on average. If B is processed separately, how many pieces will each person process on average?
1. A piece of land, in which 1/5 kinds of corn, 1/6 kinds of vegetables and the rest kinds of watermelons. What is the proportion of watermelons planted in this land?
There are 24 boys and 20 girls in one class. How many times more boys than girls? What is the percentage of boys to girls?
3. A rectangular iron plate with a length of 40 cm and a width of 30 cm, the four corners are cut off with a side length of 4 cm, and then welded into a box without a cover. How many liters is its volume?
4. A car traveled192km in the first 3 hours and 58km/h in the last 2 hours. What is the average speed of this car?
5. A plot, in which 1/5 kinds of corn, 1/6 kinds of vegetables and the rest kinds of watermelons. What is the proportion of watermelons planted in this land?
6. There are 24 boys and 20 girls in one class. How many times more boys than girls? What is the percentage of boys to girls?
7. Students take part in environmental protection actions. The fifth grade cleared 3/5 tons of garbage, less than the sixth grade 1/8 tons. How many tons of garbage were removed in the fifth and sixth grades?
8. A rectangular iron plate with a length of 40 cm and a width of 30 cm, the four corners are cut into squares with a side length of 4 cm, and then welded into a box without a cover. How many liters is its volume?
9. A car traveled192km in the first 3 hours and 58km/h in the last 2 hours. What is the average speed of this car?
1 1. It takes 1000 to pave an auditorium with rectangular bricks with a length of 0.2m and a width of 0.1m. How many bricks do you need if you use 0.0 1 m2 square bricks instead?
12, 4.5 liters of oil, 3.5 liters of milk * * * weighs 7.88 kilograms, and 3 liters of oil, 3 liters of milk * * * weighs 5.94 kilograms. How many kilograms is a liter of oil and a liter of milk?
13, Xiaohong's height 156 cm, Xiao Fang's height 1.52 m, how much is Xiaohong taller than Xiao Fang?
14.50 kg rapeseed can extract 15 kg oil. According to this calculation, how many kilograms of oil can be extracted from 5 tons of rapeseed?
15. Xiaoming's home is away from school 1.5km, Xiaonanjia is away from school 1km, and 60m away from school. Whose home is near the school, and how close?
16. An African ostrich is about 150kg 500g, and a pig is about123.06kg. How many kilograms is an ostrich heavier than a pig? Then write the result as a composite number.
17. The sowing width of a seeder is 3 meters, and the seeder travels 5 kilometers per hour. According to this calculation, how many hectares can be sown in 2 hours?
18. The road team built 1.078km on the first day, and added 0.456km on the second day. How many kilometers did the road team build in two days?
19. Liang Xiao's father bought him a computer desk and chair. The price of the chair is 45 yuan, which is cheaper than the table 12.5 yuan. How much is a table?
20。 In the long jump competition of the sports meeting, Xiaohong scored 2.85 meters, Xiaoming jumped 1.25 meters more than Xiaohong, and Xiaohong jumped 0.23 meters more than Xiao Ju. Who won the first place in the long jump and why?
2 1. Students in Zhangzhuang Primary School spent 40.25 yuan on repairing desks and chairs, more than 3.7 yuan who bound books. How much does it cost to bind books (equation solving)?
22. Xiao Hu walks 1.3 km from home to school in the morning. After walking 0.3 km, I found that I didn't bring my math exercise book, so I went home to get it. So how many kilometers did he walk to school than usual?
23. suguo supermarket shipped 0.3 1 ton of cantaloupe, and watermelon was 2.75 tons more than cantaloupe. How many tons of two kinds of melons were shipped?
24. Aunt Zhang packed a basket of vegetables and went to the farmer's market to sell them. Baskets and vegetables initially weighed 7.4 kilograms. After selling some vegetables, she went home and weighed them.
Baskets and vegetables weigh 3.6 kilograms. How many kilograms of vegetables did she sell?
25. Three people took part in the 60-meter race. Liu Mingyong took 9.6 seconds, Li Qiang was 0.5 seconds slower than him and Zhao Liang was 0.2 seconds faster than Li Qiang. What's their ranking?
26. Schools use 200 yuan to buy books, 87 yuan 50 to buy science books, and 32 yuan 04 to buy story books. How much is left?
27.A and B are 220 meters apart, and Obana Xiaohong comes from A and B respectively. Xiaohua walked 85.2 meters, Xiaohong walked 70.5 meters, how many meters were separated between them?
28. Xiaoming bought a pen and a diary. The unit price of pen is 12.7 yuan, and the price of diary is 4.5 yuan. Xiao Ming paid the clerk 20 yuan, how much should he get back?
29. A bottle of oil weighs 3.4 kilograms. Half of it is used, and the bottle weighs 1.9 kg. The bottle is as heavy as the original oil.
30, build a highway, 134.5 km has been repaired, and the rest is less than the repaired 13.6 km. What is the total length of this highway?
3 1, a bamboo pole is vertically inserted into the pool. The mud settling part of bamboo pole is 0.6m, the dew part is 0.7m, and the pool depth is 2m. How long is this bamboo pole?
32. A 4.8-meter-long bamboo pole is vertically inserted into the pool. The mud-settled part of the bamboo pole is 0.3m, and the exposed part is1.75m.. What is the depth of the swimming pool?
A+B+C =[83+86+85]/2= 127
A = 127-86=4 1
B = 127-85=42
C = 127-83=44
12, 2 cows and 4 sheep graze 27kg a day, 6 cows 15 sheep graze 90kg a day, 1 cow 1 sheep graze how many kilograms a day?
6 cows+12 sheep =27*3=8 1
3 sheep =90-8 1=9
1 sheep =3
1 ox =[27-4*3]/2=7. five
1 cattle+1 sheep =3+7. 5= 10。 5 kg
14, 4 basketballs and 3 volleyballs * * cost 14 1 yuan, 5 basketballs and 4 volleyballs * * cost 180 yuan. How much is basketball and volleyball each?
1 basket+1 line =180-141= 39
1 basket = 14 1-39*3=24
1 row = 39 * 4-141=15 yuan.
15, Xiao Qiang bought 5 boxes of sugar and Xiaohong bought 5 boxes of cakes to go to 44 yuan. If Xiao Qiang and Xiaohong exchange a box, the price of everything will be equal. How much is a box of sugar and a box of cake?
1 sugar+1 egg =44/5=8. eight
4 sugar+1 egg =44/2=22
1 sugar =[22-8. 8]/3=4。 4 yuan
1 egg =8. 8-4。 4=4。 four
16, with 10 red ball black ball * * *, 7 red ball white ball * * *, 5 black ball white ball * * *. How many balls are there in each of the three kinds?
Red+white+black = [10+7+5]/2 =11.
Red = 1 1-5=6.
White =11-10 =1
Black = 1 1-7=4
17. There are three people: Party A, Party B and Party C. Party A walks120m per minute, Party B walks100m per minute and Party C walks 70m per minute. If three people start from the same direction and walk along a circular runway with a circumference of 300 meters, how many minutes will the three people meet again?
120- 100 = 20m
It takes 300/20= 15 minutes for A to run one lap more than B.
That is, Party A and Party B will meet in 15 minutes.
100-70 = 30m
It takes 300/30= 10 minutes for B to run one lap more than C.
That is, after 10 minutes, B and C meet.
If all three match,
The least common multiple of 15 and 10 is 30.
18. Workers of Party A and Party B work together to process a batch of parts, with an average of 24 pieces per person. If A is processed separately, each person needs to process 16 pieces on average. If B is processed separately, how many pieces will each person process on average?
There are x parts.
* * * Workers have x/24, A has x/40 and B has x/24-x/40=x/60.
x/(x/60)=60
1. A cuboid bunker is 4m long, 2m wide and 0.5m deep. If the yellow sand weighs 1.4 tons per cubic meter, how many tons does it weigh?
2. It is known that a rectangular tin tank with a length of 18 decimeter and a width of 10 decimeter can hold 1620 liters of water. How deep is this tank?
3. A cuboid plastic box with medicine, 0.6m long, 0.25m wide and 0.5m deep. If you put the whole box of medicine into a small bottle with a capacity of 400ml each, how many bottles should this box contain at least?
4. A cubic billet is 6 cm long and forged into rectangular steel with a cross section of 3 cm long. How many meters is steel?
5. A cuboid oil drum with a bottom area of 18 square decimeter can hold 43.2 kilograms of oil. If the weight of each liter of oil is 0.8 kg, what is the height of the oil drum?
6. In a glass jar with a length of 25cm and a width of 20cm, there is a cubic iron block with a length of10cm. At this time, the water depth is 15 cm. If this iron block is taken out of the jar, how many centimeters is the water depth in the jar?
7. A cuboid fuel tank with a square bottom and a side length of 6 decimeters measured from the inside. It contains 144 liters of oil. As we all know, the depth of the oil inside is half that of the oil tank. How many decimetres is this oil tank?
8. One room 1200 wooden floor, 40 cm long, 20 cm wide and 2 cm thick. How many square meters is this room? How many cubic meters of wood does it take to spread out this room?
9. A section of rectangular steel, with a length of1.6m and a cross section of 4cm square. It weighs only 7.8 grams per cubic centimeter. How much does this square steel weigh?
10. Make an uncovered cuboid oil drum with iron sheet. The length and width are 4 decimeters and the height is 6 decimeters. How many square decimetres is the iron sheet? Put gasoline in a barrel, and each liter of oil weighs 0.82 kg. How many kilograms of gasoline can this barrel hold?
1 1. Forge a cubic billet with a length of 0.6 meters into rectangular steel with a cross section of 0.09 square meters. How long is forged steel? (Equation solving)
12, a cuboid glass tank, measuring 40 cm long and 25 cm wide from the inside, and the water depth in the tank is 12 cm. After a stone is immersed in water, the water surface rises to 16 cm, and the volume of the stone is found.
13. Make 12 cuboid iron chimneys, each section is 2m long, 4m wide and 3m high. How many square meters of iron do you need at least?
14. The floor of Xiao Min's room is rectangular. It is 5 meters long and 3 meters wide, and has a 2 cm thick wooden floor. How many cubic meters of wood do you need at least?
15, a coal truck, viewed from the inside, is 2.5m long and1.8m wide, and the loaded coal is 0.6m high, with an average weight of1.5t per cubic meter. How many tons of coal does this truck carry?
16. rectangular iron drum without cover, with square bottom, 4m side length and 1m height. How much iron does it take to make such a barrel? How many liters of water can this barrel hold?
17. The stadium is paved with 37.5 cubic meters of cinder on a straight runway with a length of 100 meter and a width of 7.5 meters. How thick can cinder be spread?
18, rectangular children's swimming pool, 40m long,14m wide and1.2m deep. How many square bricks with an area of 16 square decimeter should be pasted on the wall and bottom of the pool now?
19, cuboid container, bottom area 16 square decimeter, water height 6 decimeter. Now put an iron block with a volume of 24 cubic decimeters. How high is the water surface at this time?
20. Stack 2 100 cubes with a side length of 1 cm into a cuboid. Its height is 10 cm, and its length and width are greater than its height. What is the circumference of its bottom?
2 1, rectangular iron sheet, 32 cm long, cut a square with a length of 4 cm at its four corners, then fold it and weld it into a rectangular iron sheet box without a cover. It is known that the volume of this iron box is 768 cubic centimeters. What is the area of this iron?
22. The area of a rectangle is 24 cm, and its length and width are all whole centimeters. How many kinds of rectangles are there?
23. Class 5 (1) has no more than 50 students. When studying in groups, according to the different teaching contents, they can be divided into 3 people in each group, 4 people in each group, 6 people in each group and 8 people in each group. All kinds of points are just finished. There may be () students in this class or () students.
24. Party A, Party B and Party C borrow books from the library. Party A comes every six days, Party B comes every eight days and Party C comes every nine days. If we meet in the library on March 5, when will we go to the library next time?
25. Gardeners planted a tree every 4 meters on both sides of a highway, and planted 74 trees in a row. Now it's time to plant a tree every 6 meters. So, how many trees don't need transplanting?
26. Uncle Zhang sold fruit all day. When counting money at night, he found that a stack of banknotes in his hand was all two yuan and five yuan. Zhang divided the pile of money into two piles with equal amounts. In the first pile, the amount of five yuan and two yuan is equal, and in the second pile, the number of five yuan and two yuan is equal. Do you know how much money there is at least in this pile of money?
27. The fifth-grade students in bright primary school are divided into groups of 786, all of whom have just finished their studies. How many students are there in Grade Five?
Mathematical Olympic topics
1. Five students have the same amount of deposits. If each student donates 16 yuan to Project Hope, the money left by five students is exactly equal to the original three people's deposits. How much did everyone save?
2. Distribute a pile of goods to six groups equally. When each group shipped 68 cases, it just shipped half of the pile of goods. How many boxes are there in this pile of goods?
The teacher distributed a batch of saplings to four teams for planting. When each team planted six seedlings, it was found that the remaining seedlings were exactly the number of trees that each team had in common. How many saplings are there in this batch?
The car traveled from A to B, the original planned speed was 40 kilometers per hour, and the actual speed was 10 kilometers per hour, so it arrived at B two hours earlier than originally planned. How many kilometers is it between A and B?
Xiaoming goes to school by bike. He originally planned to walk 200 meters per minute and get to school on time. One day because of the rain, he could only walk 120 meters per minute, but he was five minutes late. How far is his home from school?
6. Processing a batch of parts, originally planned to process 80 pieces a day, just to finish the task on schedule. Due to the improvement of production technology, 100 pieces are actually processed every day, which not only completes the processing task four days in advance, but also processes more 100 pieces. How many parts did they actually process?
7. Party A and Party B process a batch of hats, and Party A processes more hats than Party B every day 10. On the way, B rested for five days. After 20 days, A processed just twice as many hats as B. How many hats did they each process?
8. Two cars, A and B, leave from A and B relatively at the same time. Car A travels 20 kilometers more than car B per hour. On the way, it took B 2 hours to repair the car. Six hours later, car A reached the midpoint of the two places, and car B only covered half of the distance traveled by car A.. How many kilometers is it between A and B?
9. Party A and Party B contract a project with salary of 1 120 yuan. It is known that A worked for 10 days, and B worked for 12 days. The salary of A for 5 days is as much as that of B for 4 days. How much do Party A and Party B get every day?
10. A pile of coal was transported by car, which was originally planned to be completed in 8 hours. In fact, 1.5 tons was transported per hour more than originally planned, so it took 6 hours to transport 3 tons more than originally planned. How many tons of coal was originally planned to be transported in eight hours?