1. The application of fractions

1. A tank of water uses 1/2 and 5 barrels, leaving 3%. How many barrels of water is there in this tank?

2. A steel pipe is 1 meters long, 7/1 of it is cut off for the first time, and the remaining 1/3 is cut off for the second time. How many meters is left?

3. After building a highway, which is 2/3 of the total length, it is 16.5 kilometers away from the midpoint. How many kilometers is the total length of this highway?

4. The master and the apprentice jointly made a batch of parts, and the apprentice made 2/7 of the total, 21 less than the master. How many parts are there in this batch?

5. There is a batch of fertilizer in the warehouse. Two-fifths of the total fertilizer was taken out for the first time, and one-third of the total fertilizer was taken out for the second time with 12 bags missing. At this time, there are 24 bags left in the warehouse. How many bags were taken out twice?

6. The distance between Party A and Party B is 1152km. A bus and a truck leave from both places at the same time. The truck runs 72km per hour, which is 2/7 faster than the bus. How many hours did it take for the two cars to meet?

7. A coat is more expensive than a pair of trousers, 16 yuan. The price of trousers is 3/5 of that of the coat. How much is a pair of trousers?

8. There are 6 black rabbits in the feeding group, with 1/5 more white rabbits than black rabbits. How many white rabbits are there?

9. The school wants to dig an 8-meter-long sewer. On the first day, it dug 1/4 of the total length, and on the second day, it dug 1/2 of the total length. How many meters did it dig in two days? How many meters are left?

sixth grade math application problem 2

second, the application problem of ratio

1. The circumference of a rectangle is 24 cm, and the ratio of length to width is 2: 1. What is the area of this rectangle?

2. The total length of a cuboid is 96 cm, and the ratio of length, width and height is 3∶2 ∶1. What is the volume of this cuboid?

3. The total length of a cuboid is 96 cm, the height is 4 cm, and the ratio of length to width is 3 ∶2. What is the volume of this cuboid?

4. There are 42 people in a computer interest group in a school, of which the ratio of male to female is 4 ∶3. How many boys are there?

5. There are two baskets of fruits. The fruit in the first basket weighs 32kg. After taking out 2% from the second basket, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruits?

6. To make a 6g bean paste bun, the ratio of flour, red beans and sugar is 3:2:1. How many grams of flour, red beans and sugar do you need?

7. Xiao Ming read a story book. On the first day, he read 1/9 of the book, and on the second day, he read 24 pages. The ratio of the number of pages read in two days to the remaining pages was 1: 4. How many pages did this book have?

8. The ratio of three internal angles of a triangle is 2:3:4. What are the degrees of these three internal angles?

sixth grade math application questions 3

3. Percentage application questions

1. The output value of a chemical fertilizer plant increased by 2% this year, which is 5 million yuan more than last year. What is the value of this year?

2. The fruit company stores a batch of apples, and after selling 3% of the apples, it delivers 16 boxes, which is 1/1 more than the apples originally stored. How many boxes of apples are there?

3. The original price of a commodity is 2% less than the current price, and the current price is 128 yuan. How much is the original price?

4. Interest earned from education savings is not taxable. Dad saved the education savings fund for Xiaoxiao for three years, with an annual interest rate of 5.4%. After the expiration, * * * received the principal and interest of 22,646 yuan. What is the principal of the education savings fund that Dad saved for Xiaoxiao?

5. The clothing store bought two clothes at the same time, each of which won 12 yuan, but one of them earned 2% and the other accompanied 2%. Did the two clothes sold by the clothing store make money or lose money?

6. My father is 43 years old and my daughter is 11 years old. A few years ago, my daughter was 2% of my father?

6. 2% less than 2/5 tons is () tons, and 3% of () tons is 6 tons.

7. I have read 2% of a 2-page book, leaving () pages unread. 4% of the number A is equal to 5% of the number B. The number A is 12 and the number B is ().

8. A factory used 5,4 tons of water in the second half of April, saving 2% compared with the first half. How many tons of water did it use in the first half?

9. Zhang Ping has 5 yuan money and plans to deposit it in the bank for two years. There are two ways to deposit it. One is to deposit it for two years with an annual interest rate of 2.43%. One is to deposit it for one year, with an annual interest rate of 2.25%. When the first year expires, the principal and after-tax interest will be taken out and deposited for another year. Which method is chosen to get more after-tax interest?

1. Xiaoli's mother deposited RMB 5, in the bank for one year, with an annual interest rate of 2.25%. When withdrawing money, the bank withheld and collected 2% interest tax. How much interest tax was paid at maturity?

11. The flour yield of a wheat is 85%. To grind 13.6 tons of flour, you need _ _ _ _ tons of this wheat.

sixth grade math application problem 4

Fourth, the application problem of circle

1. Draw a circle with a circumference of 12.56 cm, mark the center of the circle and a radius with letters, and then calculate the area of the circle.

2. There is a circular lawn in the school. Its diameter is 3 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?

3. The radius of a circle and a sector is equal, the area of the circle is 3 square centimeters, and the central angle of the sector is 36 degrees. Find the area of the sector.

4. The front wheel turns 4 times more than the rear wheel in the distance of 72m. If the circumference of the rear wheel is 2m, find the circumference of the front wheel.

5. The diameter of a circular flower bed is 1 cm, and a 2-meter-wide path is paved around it. How many square meters is this path?

6. The school has a circular open space with a diameter of 4M. It is planned to build a circular flower bed in the center, and pave a cement pavement with a width of 6m for the rest. What is the area of the cement pavement?

7. There is a ring. The circumference of the inner circle is 31.4 cm, the circumference of the outer circle is 62.8 cm. What is the width of the ring?

8. The minute hand of a wall clock is 2 cm long. After 45 minutes, what is the distance traveled by the tip of this minute hand?

9. The hour hand of a big clock is .3 meters long. How many meters does the tip of this hour hand walk in one day? How many square meters is the swept area?

sixth grade math application problem 5

1. Lifeguards and tourists * * * There are 56 people, and there are last lifeguards and 7 tourists on each rubber dinghy. How many tourists are there? How many lifeguards?

2. The vegetable field in Uncle Wang's home is 8 square meters, and he is going to grow tomatoes. The rest are planted with cucumber and eggplant according to the area ratio of 2: 1. What are the areas of the three vegetables?

3. A rectangle is surrounded by 28-meter-long iron wire. The ratio of length to width of this rectangle is 5:2. What is the length and width of this rectangle?

4. Form a triangle with 84cm long iron wire, and the ratio of the lengths of the three sides of the triangle is 3: 4: 5. How many centimeters are the three sides of this triangle?

5. The ratio of the degrees of the three internal angles of a triangle is 1∶2∶3. What is the largest angle in this triangle? What triangle is this triangle?

6. The road repair team is going to build a 432-meter-long highway, which has already been repaired, and the remaining tasks are distributed to Party A and Party B according to the ratio of 5: 4. How many meters will each of the two road repair teams need to repair?

7. In the activity of "learning from Lei Feng", students in grade five and grade six did 8 good deeds on average, and the ratio of the number of good deeds in grade five and grade six was 3∶5. How many good deeds did the fifth and sixth grade students do respectively?

8. The distance between the two cities is 225 kilometers. A bus and a truck leave the two cities relatively at the same time and meet after 2.5 hours. It is known that the speed ratio between the truck and the bus is 4: 5. How many kilometers do the bus and the truck travel each hour?

9. Weld an iron bar with a length of 282.6 cm into a circular iron ring. What is its radius?

1. For a boiler with a circular bottom, the circumference of the bottom circle is 1.57 meters. How many square meters is the bottom area? (Keep the number to two decimal places)

11. Xiaodong has a bicycle. The diameter of the wheel is about 66 cm. If it rotates 1 times per minute on average, the distance from home to school is 4144.8 meters. How many minutes does it take?

12. The minute hand of a wall clock is 2 cm long. After 3 minutes, what is the distance traveled by the tip of the minute hand?

13. The radius of a circular cowshed is 15cm. How long thick iron wire does it take to enclose the cowshed for three times? (The joint is ignored. ) If a stake is installed every 2 meters, how many stakes will be installed?

14. The range of an automatic rotary sprinkler irrigation device on the park lawn is 1 meters. How wide can it spray irrigation?

15. The diameter of a circular roundabout is 5m, with a circular flower bed with a diameter of 1m in the middle and lawns in other places. What is the area of lawn?

16. A circular flower bed with a circumference of 31.4m will be built in the street garden, and a circular path with a width of 1m will be built around the flower bed. What is the area of this path?

17. Xiao Ming bought 16 stamps with 5 cents and 8 cents, which cost 1.7 yuan. How many stamps does Xiao Ming buy each of these two stamps?

18. In 22, China Academy of Sciences and China Academy of Engineering had 1,263 academicians, including 1,185 male academicians. What percentage of academicians are women?

19. Team A and Team B dig a canal. It takes 8 days for Team A to dig alone, and 12 days for Team B to dig alone. Now, after two teams dug for a few days at the same time, Team B was transferred, and the remaining Team A finished digging in three days. How many days did Team B dig?

2. There is a two-digit number, and the sum of its digits is 7. If 27 is subtracted from this number, the number obtained is exactly the reverse order of the digits. Find this number.

sixth grade math application problem 6

1. A rope is 4/5 meters long. First, it takes 1/4 meter, and then it takes 1/4 meter. How many meters does a * * * take?

2. There are 5 goats, 3 more sheep than 4/5 of goats. How many sheep are there?

3. Read a 12-page book, and you have read 1/3 of the whole book. How many more pages are exactly 5/6 of the whole book?

4. A bottle of oil is 4/5 kilograms, and 3/1 kilograms has been used. How many kilograms will be used, which is exactly 1/2 of this barrel of oil?

5. A bag of 12kg rice, one quarter on the first day, the remaining one third on the second day, and how many kilograms on the second day?

6. For a batch of goods, a car can transport 1/8 of it at a time, and how many times can it transport? If this batch of goods weighs 116 tons, how many tons have been shipped?

7. A factory used 28 tons of water in September, and it is planned to save 1/7 in October. How many tons is planned to save in October?

8. The base of a parallelogram is 24 meters long and the height is 3/4 of the base. How many square meters is its area?

9. Human blood accounts for 1/13 of body weight, and about 2/3 of blood is water. Dad's weight is 78kg. How many kilograms does his blood contain?

Grade 1 and Grade 6 students took part in tree planting. Boys planted 16 trees, and girls planted 5 more trees than 3/4 of boys. How many trees do girls plant?

11. The number of students in the fourth grade of Xinguang Primary School is 4/5 of that in the fifth grade, and the number of students in the third grade is 2/3 of that in the fourth grade. If there are 12 students in the fifth grade, how many students are there in the third grade?

12. Two cars, A and B, leave from A and B, which are 42km apart at the same time. After 5 hours, A has traveled 3/4 of the whole journey and B has traveled 2/3 of the whole journey. How many kilometers are the two cars apart?

13. There are 12 trees planted in the fifth grade, and the number of trees planted in the sixth grade is 7/5 of that in the fifth grade. How many trees are planted in the fifth and sixth grades?

14. build a 12/5km road, with 2/3km in the first week, 1/3 of the total length in the second week, and how many kilometers in two weeks?

15. A highway is 7/8km long. On the first day, it was repaired by 1/8km. How many kilometers will it be exactly 1/2 of the full length?

16. Xiaohua read a 96-page story book, reading 1/4 on the first day and 1/8 on the second day. How many pages have you read in two days?

17. A book has 15 pages. Xiao Wang read 1/1 of the total on the first day, 1/15 of the total on the second day. What page should he start from on the third day?

18. The school shipped 2/5 tons of cement, and the yellow sand shipped was 5/8 of the cement and 1/8 more. How many tons of yellow sand was shipped?

19. The ratio of money donated by Xiaowei and Xiaoying to Project Hope is 2 :5. Xiaoying donated 35 yuan. How much did Xiaowei donate?

2. The TV factory plans to increase production by 2/5 this year compared with last year. Last year, 1/5, TV sets were produced. How many tens of thousands of TV sets are planned to increase this year?

sixth grade math application problem 7

1. A village wants to dig a canal with a length of 2,7 meters, and has already dug 1,5 meters. How many more meters will it take to dig just two-thirds of this canal?

2. Young pioneers in a school collected 1/2 kg of tree species in grade four, 1/3 kg more in grade five than in grade four, and 6/5 of that in grade six. How many kilograms of tree species are collected in the sixth grade?

3. The warehouse delivered 24 tons of rice, and the delivered soybeans were 5/6 of the tons of rice and 3/4 of the tons of flour. How many tons of flour are delivered?

4. The number of apples in basket A is 9/1 kg. Give 1/9 of basket A to basket B, and Party A and Party B are equal. How many kilograms are apples in basket B?

5. Two-thirds of a barrel of oil was poured out, just 36 kilograms. How many kilograms was there in this barrel of oil?

6. Two engineering teams, Team A and Team B, built roads for 36m, and the length ratio of Team A and Team B was 5: 4. How many meters did Team A build more than Team B?

7. There are 15 workers in the first workshop of the garment factory, and the number of workers in the second workshop is 2/5 of that in the first workshop. The number of workers in the two workshops is just 5/6 of the total number of workers in the factory. How many workers are there in the whole factory?

8. A batch of fruits is 12 tons, of which pears account for 2/5 of the total and 4/5 of apples. How many kilograms of apples are there?

9. The sum of the numbers A and B is 12. Give one third of A to B, and the ratio of A to B is 2:3. What is the original A?

1. Xiaohong collected 24 specimens and sent 4 specimens to Xiao Fang. Xiaohong happened to be 4/5 of Xiao Fang's. How many specimens did Xiao Fang have?

11. Two barrels of oil * * * weigh 27kg. After using 2kg of oil in the big barrel, the weight ratio of the remaining oil to the oil in the small barrel is 3: 2. Seek the original in the big barrel.