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Mathematical circular question bank of sixth grade in primary school
1.0.7=( )( ) =( )∶( )=( )%

2. There are 48 people present in the sixth grade today, and 2 people are absent. The attendance rate is ().

3. 15m is equivalent to ()% of 20m, and 20m is ()% more than 15m.

4. The radius and height of the cylinder bottom are 1 decimeter. Its side area is (), its surface area is () and its volume is ().

5. If 3a=4b, then a∶b =()∴ ().

6. On a map, 3 cm represents the actual distance of 3600 kilometers, and the scale of this map is (); A and B are 600 kilometers apart, and the distance on this map is () cm.

7. Arrange 0.45, 45, 4.5% and 0.455 from small to large as ().

Second, judge whether the following statements are correct.

1,14m is 25%. …………………………………………( )

2. A commodity goes up by 40% and then goes down by 40%, and the current price is the same as before. ( )

3. The volume of the cone is constant, and the bottom area is inversely proportional to the height. ……………( )

In proportion, the ratio of the two proportions must be equal. …………………… ( )

5.A is 25% more than B, and B is 25% less than A.. ……………( )

Third, choose the serial number of the correct answer and fill in ().

1, dissolve 4g of sugar in100g of water, and the ratio of sugar to syrup is ().

① 1:25 ② 1:26 ③ 1:4%

2. Using 50 seeds for germination test, only 1 seed did not germinate, and the germination rate was ().

① 49% ② 99% ③ 98%

3. The ratio of energy to 0.5: 4.8 is ().

①0.25:0.24 ② 0.75:7.2 ③ 1:2.4

4. Subscribe to the number of copies and the amount of money of the primary school mathematics newspaper ()

① Direct ratio ② Inverse ratio ③ Out of proportion.

Application problem 1

(1) This fruit shop can import 390 kilograms of apples, bananas and pears a day. The weight of apples is 1.5 times that of pears, and the weight of bananas is 3/4 of that of pears. How many kilograms of each of the three fruits?

(2) A pot of water used 1/2 and 5 barrels, leaving 30%. How many buckets of water are there in this water tank?

(3) There is a square wood, the fast side is 20 cm long, and it is planed into a cylinder with the largest diameter at the bottom. What is the volume of wood planed out?

(4) The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left?

(5) Assemble radios in two groups. Group A assembles 50 radios every day, and completes 10% of the total task on the first day. At this time, Group B began to assemble 40 radios every day. How many days did it take Group A to complete these tasks?

(6) After the highway is built, the total length is 2/3, and the distance is16.5km.. What is the total length of this highway?

(7) The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch?

(8) Two teams build a highway. Team A builds 65438+ 0.5 of the total length every day, and Team B works alone for 7.5 days. If the two teams work together for two days, the rest will be repaired by team B alone. How many days will it take?

(9) There is a batch of chemical fertilizers in the warehouse, and 2/5 of the total amount is taken out for the first time, and 1/3 of the total amount is less than 12 bags for the second time. At this time, there are 24 bags left in the warehouse. How many bags are taken out twice?

(10) In the distance of 720m, the front wheel turns 40 times more than the rear wheel. If the circumference of the rear wheel is 2m, find the circumference of the front wheel.

The number of (1 1) A is 1.2 times the average of three numbers. If the sum of B and C is 99, what is the number of A?

(12) There is a project that plans to use 800 workers, and the construction period is 100 days. I didn't expect to stop work due to an accident 35 days after the start of construction, and continue construction 25 days later. How many more workers will be needed if the work is to be completed within the time limit?

47. During a week's time, the daily maximum temperatures measured by Xiangyang Primary School Meteorological Team were 3 1, 3 1, 34, 32, 33, 30 and 33 degrees respectively. What is the highest average temperature this week?

48. A factory originally planned to produce 4,800 farm tools a year, but actually completed the task in 10 month. How much more farm tools are actually produced each month than originally planned?

49. A machine can process 320 parts in 8 hours. According to this calculation, how many hours does it take to process 2000 parts with five machines?

50. A coal mine plans to produce 38,400 tons of coal in April. After technical transformation, the average daily output increased by 256 tons compared with the original plan. How many tons of coal was actually produced in April? (Calculated by 30 days)

5 1. There are 6 people in the first group, and the average score of 5 people in the Chinese exam is 85. After adding Wang Gang's score, the average score is 87. What's Wang Gang's exam score?

52. Two water pipes simultaneously discharge water into the pool. The discharge of the thick pipe is15t per hour, and that of the thin pipe is 1 1 ton per hour. How many tons of water can this pool hold in eight hours? (Calculated in two different ways)

53. The rectangular playground is 50 meters long and 40 meters wide. After the expansion, the length and width increased by 5 meters respectively. How many square meters has the playground area increased after the expansion?

54. A train travels 366 kilometers in six hours in the morning and 276 kilometers in four hours in the afternoon. How many kilometers more in the afternoon than in the morning?

55. A factory used coal 120 tons in the first six months and 102 tons in the second half. According to 80 yuan, how much is the monthly coal consumption saved in the second half of the year compared with that in the first half?

56. A forest farm planted 65,438+0,480 trees the year before last. The number of trees planted last year was twice that of the year before. The total number of trees planted this year is 420 more than the previous two years. How many trees will be planted this year?

57. A rectangle is 2 1 cm long and three times as wide. What is the circumference and area of this rectangle?

58. One ton of waste paper can produce 700 kilograms of paper. If one kilogram of paper can make 25 exercise books, how many exercise books can be made from 12 tons of waste paper?

59. It takes 4 tapes to record a Qigong report, and it takes 30 minutes to record a full tape. How many hours has this report been recorded?

60. A bulldozer can pave 600 meters in three hours. If it spreads 20 meters per hour, how many meters can it spread in 8 hours?

6 1, farmers in Lizhuang transport wheat to the grain depot. On the first day, they shipped 10 cars, and on the second day, they shipped 7 cars, each with 2 tons of 400 kilograms of wheat. How many kilograms were transported in two days? How many tons and kilograms?

62. 100 The weight of wet brick is 450kg, and each brick is reduced by 850g after drying. 100 how many kilograms does the wet brick weigh after drying?

63. An automatic packaging machine packs 135 pieces of sugar in 20 seconds. According to this calculation, how many pieces of sugar can this machine hold 1 hour?

64. Xiaohua walked 4 kilometers and 680 meters, and it took 1 hour 18 minutes. How many meters is the average branch?

65. A 3-ton truck, loaded with 7,000 kilograms of wood, has to cross a bridge with a weight limit of 1 1 ton. Calculate, can the truck cross the bridge?

The width of 66-row and 28-row seeders is 4 meters. How many hectares of land can be sown with tractor traction and 5 kilometers per hour?

67. Two piles of goods, A and B, 8000 kg. It is known that the weight of goods in pile A is four times that of goods in pile B. How many kilograms do you want to know?

68. Everyone in the binding workshop binds 640 books per hour. According to this calculation, how many books will 8 hours 12 people bind?

132 has a seven-digit number, which can be divided into three digits and four digits in the middle, but whether it is divided into the first three digits, the last four digits, or the first four digits and the last three digits, the sum of the two digits is always equal. What is the smallest of these seven figures?

How many triangles are 133, all three sides are integers, and the longest side is 1 1?

134. How many people are building roads? If three people can be transferred, the task can be completed in 20 days. If eight people can be transferred, it will take 10 days to complete the task. Only two people can be transferred now. How many days can the task be completed?

135, both parties sell apples. On the first day, Party A sells 1 yuan for every three apples, and Party B sells 1 yuan for every two apples; The next day, Party A and Party B sold them together, and every five apples were sold to 2 yuan. It is known that everyone brings the same value of apples every day. All apples are always sold out. If their total income is 120 yuan on the second day, what is their total income on the first day?

136. A rectangle can divide a plane into two parts. How many parts can three rectangles divide a plane at most? How about ten rectangles?

137. Teachers and students of a school donated money to the disaster area 1995 yuan. This school has 35 teachers, 14 classes, and the class size remains unchanged, with more than 30 students but no more than 45. If the average amount of money donated by everyone is an integer, what is the average donation?

138, class a, b and c of grade five in bright primary school organized a literary evening, * * * performed 14 program. If each class performs at least three programs, how many kinds of performances are there in these three classes?

139, a pool with a normally open drain pipe at the bottom and a water inlet pipe with the same thickness at the top. Four water inlet pipes are opened, and it takes 5 hours to fill the pool. Two water inlet pipes are opened, and it takes 15 hours to fill the pool. Now it needs to fill the pool in two hours. How many water inlet pipes should be opened at least?

140. Forging a square billet with a side length of 0.6m into a rectangular steel with a cross-sectional area of 0.08m2 How long is the forged steel?

14 1, three students from Class 3, Grade 5, Xiaoming, Ping Li and Wang Xiaohua, went to Yuxing Shopping Mall to buy hardcover notebooks with the same money. After buying them, Xiaoming and Li Ping got six more copies than Wang Xiaohua, so Xiaoming and Li Ping must give them to Wang Xiaohua 12 yuan. How much is each notebook?

142. In the division formula with remainder, the sum of dividend, divisor, quotient and remainder is 599, the known quotient is 15, and the remainder is 12. What is the divisor in the title?

Fill in the blanks.

1. Enlarge the radius of the cone by 2 times, the height by 3 times and the volume by () times.

4. Make a 6-decimeter-long piece of wood into the largest cylinder, and the volume of this cylinder is () cubic decimeter.

3. The height and volume of cylinder and cone are equal. It is known that the bottom area of a cylinder is 13.5 cm2, and the bottom area of a cone is () cm2.

The volume of a cylinder is equal to the volume of a cone. It is known that the height of the cylinder is 2/5 of the height of the cone, and the bottom area of the cylinder is () of the bottom area of the cone.

5. A lateral expansion body is a square cylinder with a side length of 15.7 cm, and its volume is () cubic centimeters.

6. The diameter of the cone bottom is 8 cm, the height is 3/8 of the diameter, and the volume of this cone is () cubic centimeters.

There used to be a cylindrical oil drum with a bottom radius of 3 decimeters and a height of 10 decimeter, and its gasoline content accounted for 3/4 of the whole drum. This oil drum can hold 100 liter of gasoline.

⒏ If a cylinder with a bottom radius of 4 cm and a height of 5 cm is cut in half along the bottom diameter, its surface area will increase by () square cm.

(9) The circumference of the circle is increased by 20%, and the area of the circle is increased by ()%.

Second, the application problem.

1. Saw a cylindrical iron bar with a length of 1 m into three sections (each section is cylindrical), and the surface area increased by 0.36 square decimeter. What is the volume of this iron bar?

3. A steel pipe is 3 meters long, with an outer diameter of 20 cm and a wall thickness of 2 cm. If the weight of steel is 7.8 g 1 cm3, how many kilograms does this steel pipe weigh? (Numbers are reserved as integers)

3. The side area of the cylindrical rod is 6 times that of its bottom surface, and its bottom surface radius is 1 decimeter. How many cubic decimeters is its volume?