Factors and multiples
1. There are 56 apples. Can 3 of them be played just right? What about 2 packs of 2? What about 5 by 5?
2. Mom bought some calla lilies and tulips at the flower shop. A calla lily costs 10 yuan and a tulip costs 5 yuan. Mom paid 50 yuan and got 13 yuan back, right?
3. Students participate in an interest group. There are 22 people in a group. Three people are divided into groups. How many more people must come to complete the division?
Rectangular parallelepiped and cube
Surface area calculation
1. What is the minimum length of iron wire needed to make 10 cube iron frames with 8 cm edge length?
2. Make an iron box out of iron sheets so that its length, width and height are 1.8 decimeters, 1.5 decimeters and 1.2 decimeters respectively. How many square meters of iron sheets should be used to make such an iron box? rice?
3. To make a cubic glass fish tank without a lid, the edge length is 3 decimeters. How many square meters of glass is needed at least?
4. Our school needs to paint a classroom. The classroom is 8 meters long, 7 meters wide and 3.5 meters high. Excluding doors, windows and blackboards, the area is 13.8 square meters. It is known that each square meter requires a paint fee of 5 yuan.
How much does it cost to paint a classroom?
5. A product box is a cube with an edge length of 6 cm. If a trademark is affixed around the box, what is the maximum square centimeter area for the trademark?
6. The length, width and height of wooden blocks are 2.8 decimeters, 1.5 decimeters and 2.2 decimeters respectively for drawers. How many square meters of wooden blocks should be used to make 5 such drawers?
7. There is a fish pond that is 18 meters long, 12 meters wide, and 3.5 meters deep. A layer of cement should be applied to all surfaces of the fish pond to prevent water seepage. If water is used per square meter, 5 kilograms of mud will be used. ***How ??many kilograms of cement are needed?
8. The processing factory needs to process a batch of TV sets. (Without bottom) Each TV is 60 cm long, 50 cm wide and 55 cm high. How much cloth should be used to make 1,000 sets? Square meters?
9. To make a 24-section rectangular iron chimney, each section is 2 meters long, 4 decimeters wide and 3 decimeters high. How many square meters of iron should be used at least?
10. A rectangular goldfish tank has a length of 8 decimeters, a width of 5 decimeters, and a height of 6 decimeters. The glass in the front was accidentally broken. The glass was replaced during repair. The area is ( )
Volume Calculation
1. The length of a cuboid is 4 decimeters, the width is 2.5 decimeters, and the height is 3 decimeters. Find out how many cubic meters its volume is. Decimeter?
2. A rectangular sandpit is 4 meters long, 2 meters wide and 0.5 meters deep. If each cubic meter of yellow sand weighs 1.4 tons, how many tons does the yellow sand weigh?
3. There is a rectangular steel material that is 2 meters long and has a square cross-section with a side length of 5 centimeters. Each cubic decimeter of steel weighs 7.8 kilograms. How many kilograms does this square steel material weigh?
4. A cuboid has a base area of ??30 square decimeters and a height of 3 meters. What is its volume in cubic decimeters?
5. A writing desk is 1.3m long, 0.6m wide and 0.8m high. How much space does it take up if there are 20 such desks?
6. The length of one edge is 5 decimeters. A cubic fish tank is filled with water. Pour the water into a rectangular fish tank with a base area of ??48 square decimeters and a height of 6 decimeters. How deep is the water in the fish tank?
7. A cube sink with an edge length of 8 decimeters contains 490 liters of water. Pour the water into a rectangular sink with a length of 10 decimeters, a width of 7 decimeters, and a height of 8 decimeters. What is the depth of the water in it?
8. Forge a cube steel billet with an edge length of 8 cm into a rectangular steel plate with a length of 16 cm and a width of 5 cm. How thick is the steel plate? (Loss is not included)
9. A rectangular oil barrel has a bottom area of ??18 square decimeters and can hold 43.2 kilograms of oil. If each liter of oil weighs 0.8 kilograms, what is the height of the oil in the barrel?
10. A rectangular iron sheet is 30cm long and 25cm wide. Cut off a 5cm long square from each of the four corners and make it into a box without a lid. How much iron sheet is used in this box? What is its volume?
11. Take a rectangular wooden board with a length of 26dm, cut off squares with a side length of 3dm from the four corners, and make it into a rectangular container without a lid with a volume of 840 cubic decimeters. This piece What was the original width of the board?
12. A rectangular swimming pool is 60 meters long, 30 meters wide and 2 meters deep. How many square meters does the swimming pool occupy? Use red paint to draw a water level line 1.5 meters along the inner wall of the swimming pool. What is the length of this line? Now that the water in the swimming pool has reached the water level, what is the volume of water in the pool?
The meaning of fractions is very basic
1. In a flower bed of 3 square meters, 4 kinds of flowers are planted. How many square meters does each flower occupy on average? What about 5 kinds? (Expressed as a fraction)
2. Ming walked 1 kilometer in 15 minutes, averaging a fraction of a kilometer per minute.
3. The teacher bought the I bought 5 meters of red ribbon and divided it equally among 6 people to perform the show. How many meters can each person get?
4. The department store sold 15 TV sets and 7 washing machines today. How many TV sets are sold compared to washing machines?
5. Two-fifths of the students in our class participated in the dance group, and four-tenths of them participated in the calligraphy group. Which group has the larger number of people?
1. Lay an underground cable on Zhongyuan Road. 34 meters have been laid, and 250 meters are left.
How many meters is the total length of this cable?
2. To build a section of road, 1/4 of the total length was built on the first day, and 90 meters was built on the second day. At this time, 150 meters were left to be repaired. How many meters long is this road?
3. There is a pile of yellow sand at the construction site, which used 23 tons, exactly 60 tons. How many tons did this pile of yellow sand originally weigh?
4. Sound travels about 1 kilometer in 3 seconds in the air. The speed of light is about 300,000 kilometers per second. What fraction of the speed of light is the speed of sound?
5. A wheat experimental field was originally planned to produce 8 tons of wheat per hectare. How much wheat was actually produced per hectare?
6. The staff canteen planned to burn 5 tons of coal in April, but actually burned 4.8 tons of coal. What percentage was saved?
7. Using 5000 kilograms of wheat, 4250 kilograms of flour can be ground. Find the flour extraction rate of wheat.
8. The flour extraction rate of wheat is 80%. How many kilograms of wheat are needed to grind 640 kilograms of flour?
9. There are 50 students in Class 6 (1), and 2 students asked for leave on a certain day. What is the attendance rate on that day?
10. How many trees should *** be planted on Arbor Day? , 485 trees survived and 15 did not survive. Find the survival rate of this tree planting.
11. Teacher Wang went to a sporting goods store and bought 5 small footballs. He paid 100 yuan and got back 32.5 yuan. How much is each small football?
12. Two cars A and B drove away from each other at the same time from two places 255 kilometers apart. Car A traveled 52 kilometers per hour, and car B traveled 57 kilometers per hour. After a few hours, the two cars Still 37 kilometers away?
13. The master and apprentice processed 208 machine parts. The number of parts processed by the master was 4 times more than that of the apprentice. How many parts did the master and the apprentice process each?
14. Wang Fang’s deposit is 2.2 times that of Li Li. If Li Li deposits another 75 yuan in the bank, their deposits will be equal. How many yuan did each of them deposit?
15. In the fifth grade, buy a batch of notebooks and award them to the three best students. If each student is awarded 5 notebooks, there will be 3 notebooks left; if each student is awarded 6 notebooks, there will be 12 notebooks left. How many students were rated as "three best students" in fifth grade? How many notebooks did you buy?
16. There are 80 sheep on the hillside. Among them, there are 4 times as many white sheep as black sheep. How many black sheep and white sheep are there on the hillside?
17. Two baskets of citrus are sold in the store. The first basket weighs 26 kilograms and the second basket weighs 29 kilograms. The second basket sells for 9 yuan more than the first basket. How much is the average price of citrus per kilogram? Yuan? (Use two methods to solve)
18. A trapezoidal wheat field has an area of ??540 square meters, a height of 18 meters, an upper base of 20 meters, and a lower base of how many meters?
19. Two cars, A and B, leave from two places 750 kilometers apart at the same time and travel towards each other. They meet each other in 5 hours. Car A travels 80 kilometers per hour. How many kilometers does car B travel per hour?
20. Two cars drove out from the same place at the same time. After driving for 4.5 hours, car A fell 13.5 kilometers behind car B. It is known that car A traveled 35 kilometers per hour, and car B traveled 35 kilometers per hour. How many kilometers per hour?
21. The students went on a spring outing. There were already 45 people on the bus; there were 4 groups waiting for the next bus, with 9 people in each group.
How many people are there on the spring outing?
22. One day *** there were 150 people going on a spring outing, 54 of them had already left, and the rest would go in two cars. How many people would sit in each car on average?
23. There are 18 boys in the dance team, and the number of girls is twice that of boys. How many boys and girls are there in the dance team?
24. The students made flowers. Xiaojun made 63 flowers. Xiaohong made 18 fewer flowers than Xiaojun. How many flowers did the two of them make in one go?
25. The first time I bought 25 kilograms of cabbage in the canteen, and the second time I bought 175 kilograms of cabbage, based on the calculation of 6 cents per kilogram of cabbage, how much does it cost to buy cabbage in the canteen? ?
26. Xiaohua read a book to Xiaogang. Xiaohua read 132 pages in 4 days, and Xiaogang read 96 pages in 3 days. Who reads faster? Why?
27. Mom bought 3 sweatshirts for Xiao Ming. Each sweatshirt cost 23 yuan. She paid the salesperson 100 yuan. How much yuan should she get back?
28. The sporting goods store originally had 72 basketballs, sold 60, and purchased 45 more. How many basketballs are there now?
29. The students went to visit the observatory. There were 9 girls. The number of boys going was three times that of girls. Is a 40-seater car enough?
30. There are 24 boxes of chess in the school activity room. The number of boxes of military flags is twice that of chess. There are 12 boxes of checkers. How many boxes of checkers are less than the boxes of military flags?
31. The school bought 80 boxes of white chalk and 20 boxes of red chalk. After using 60 boxes, how many boxes are left?
32. The teacher has 8 bags of table tennis balls, 6 in each bag, and lends 15 to classmates. How many are left?
33. The teacher took 70 yuan to buy books and bought them. There are 7 sets of story books at 9 yuan each. How many yuan are left?
34. The garment-making team had 90 meters of cloth and used 63 meters. The remaining cloth was used to make 9 sets of clothes. How many meters of cloth is used for each set of clothes on average?
35. There are 80 packs of instant noodles in the food store. 26 packs were sold in the morning and 34 packs were sold in the afternoon. How many packs are left? (Answer in two ways) < /p>
36. A fertilizer factory produces 310 tons of fertilizer in January, 400 tons in February, and 490 tons in March. How many tons of fertilizer are produced per month on average?
37. A horse eats 12 kilograms of grass every day. Based on this calculation, how many kilograms of grass can 25 horses eat in a week? (Calculated using two methods)
38. Workers Master Wang and his apprentice make machine parts. Master Wang makes 45 parts per hour and the apprentice makes 28 parts per hour. Master Wang works for 6 hours and the apprentice works for 8 hours. How many machine parts can they make?
< p>39. The factory has 8,000 kilograms of coal. It was originally planned to burn for 25 days. Due to the improved stove, it actually burned for 32 days. How many kilograms are saved per day on average compared to the original plan?40. The construction site requires 1,280 bags of cement. It took 8 carts 4 times to transport them all. How many bags of fertilizer can be transported by one cart at a time? (Calculate using two methods)
41. The farm tools factory produced 4,650 farm tools in the first half of the year. 5,382 pieces of farm tools were produced in half a year. How many pieces were produced per month on average for the whole year?
42. The clothing processing department can use 120 meters of cloth to make 24 sets of adult uniforms. If it makes children's clothing, it can make 30 sets. How many meters less cloth is used for each set of children's clothing than adult clothing?
43. A chicken farm sold 12,300 chickens in April. The sales in May were 200 less than twice the amount in April. How many chickens were sold in one month of two months?
44. A flour mill can grind 800 kilograms of flour per hour. Based on this calculation, how many kilograms of flour can 6 flour mills grind in 5 hours? (Answer in two ways)
45. A pile of coal weighs 800 tons. It can be transported by 5 trucks in 16 times. On average, how many tons does each truck transport each time?
46. A car travels 300 kilometers in 6 hours, and a train travels 600 kilometers in 6 hours. How many kilometers further per hour does the train travel than the car?
47. During the week, the meteorological team of Xiangyang Primary School measured the highest daily temperatures as: 31, 31, 34, 32, 33, 30, and 33 degrees. What is the highest average temperature this week?
48. A factory originally planned to produce 4,800 farm tools a year, but it actually took 10 months to produce 4,800 agricultural tools.
After completing the task, how many more farm tools were actually produced per month than the original plan?
49. A machine can process 320 parts in 8 hours. Based on this calculation, 5 machines will be used to process 2,000 parts. How many hours does it take to make a part?
50. A certain coal mine plans to produce 38,400 tons of coal in April. After technological innovation, the average daily production is 256 tons more than the original plan. How many tons of coal are actually produced in April? (Based on 30 Calculated in days)
51. There are 6 people in the first group. The average score of 5 of them in the Chinese language test is 85 points. After adding Wang Gang’s score, the average score is 87 points. What is Wang Gang’s test score?
52. Two water pipes release water into the pool at the same time. The thick pipe releases 15 tons of water per hour, and the thin pipe releases 11 tons of water per hour. After 8 hours, the water is filled. How many tons can this pool hold? Water? (calculated using two different methods)
53. A rectangular playground is 50 meters long and 40 meters wide. After expansion, the length and width will increase by 5 meters respectively. How many square meters will the playground area increase after the expansion? ?
54. A train traveled 366 kilometers in 6 hours in the morning and 276 kilometers in 4 hours in the afternoon. How many kilometers more per hour do you travel on average in the afternoon than in the morning?
55. A factory uses 120 tons of coal in the first six months and 102 tons of coal in the second half of the year. Calculated at 80 yuan per ton of coal, how much yuan will be saved on average per month in coal consumption in the second half of the year compared with the first half of the year?
56. A forest farm planted 1,480 trees the year before last. The number of trees planted last year was twice that of the year before. The number of trees planted this year was 420 more than the total number of trees planted in the previous two years. How many trees were planted this year?
57. A rectangle is 21 centimeters long, which is three times its width. What are the perimeter and area of ??the rectangle?
58. One ton of waste paper can produce 700 pieces of paper. Kilogram, if one kilogram of paper can be made into 25 exercise books, how many exercise books can be made out of 12 tons of waste paper?
59. It takes 4 audio tapes to record a Qigong report. It takes 30 minutes to cover one tape. How many hours did this report last?
60. A bulldozer can pave 600 meters of road in 3 hours. If an additional 20 meters are paved per hour, it can be paved in 8 hours. How many meters?
61. Farmers in Lizhuang transported wheat to the grain depot. They transported 10 trucks on the first day and 7 trucks on the second day. Each truck transported 2 tons and 400 kilograms of wheat, two days** *How many kilograms are transported? How many tons and kilograms are combined?
62. 100 wet bricks weigh 450 kilograms. Each brick loses 850 grams after being dried. How many kilograms do 100 wet bricks weigh after being dried?
63. An automatic packaging machine packs 135 pieces of candy in 20 seconds. Based on this calculation, how many pieces of candy can this machine pack in one hour?
64. Xiaohua walked 4,000 pieces It takes 1 hour and 18 minutes to measure 680 meters. How many meters does it travel per minute on average?
65. A truck with a dead weight of 3 tons, loaded with 7000 kilograms of wood, has to pass through a bridge with a weight limit of 11 tons. Do the math, can the truck pass this bridge?
The width of the 66 and 28-row seeder is 4 meters. How many hectares of land can be sown using a tractor pulling 5 kilometers per hour?
67. The weight of the two piles of goods A and B is 8000 kilograms. It is known that the weight of the goods in pile A is 4 times that of the goods in pile B. How many kilograms does each pile of goods A and B weigh?
68. Each person in the binding workshop binds 640 textbooks per hour. Based on this calculation, how many textbooks can be bound by 12 people in 8 hours?
69. The car fleet carried out fuel-saving activities. 12 vehicles saved 7,200 kilograms of gasoline per year. How many kilograms of gasoline did each vehicle save per month on average?
70. A telephone sells for 320 yuan, a "color TV" costs 8 times the price of a telephone, and a computer costs 3 times the price of a "color TV" It’s 1,000 yuan more. How much is a computer?
71. Two workshops produce parts. Five days later, workshop A produces 1520 parts and workshop B produces 1280 parts. If they work 8 hours a day, how many fewer parts will workshop B produce per hour than workshop A?
72. Xiaohua has read 45 pages of a book. The unread pages are 3 times less than the read pages and 8 pages less. How many pages does this book have?
73. The two masters and apprentices are processing batches together.
The master processes 125 parts per hour, and the apprentice processes 100 parts per hour. It takes 8 hours to complete the task. When the task is completed, how many more parts does the master process than the apprentice? How many parts can the master and apprentice process?
74. It is known that the average of the three numbers A, B, and C is 268, and the number D is 148. What is the average of these four numbers?
75. Students participated in environmental protection activities. There were 42 students in Class 61, and each person cleaned up an environment of 80 square meters on average. There were 38 students in Class 62, and 2800 square meters of environment were cleaned up. Both classes averaged 80 square meters per person. How many square meters does one clean up the environment?
76. According to statistics, a whale can swim 108 meters in 3 hours and a dolphin can swim 245 meters in 5 hours. How many meters less can a whale swim than a dolphin per hour?
77. A production team has 25 people and processes 1,500 parts a day. Later, 8 more people were transferred. Based on this calculation, how many more parts can the production team process every day than before?
78. Hualian Commercial Building sold 90 sets of "Nanjiren" pure cotton underwear in one day, 38 sets were sold in the morning, and each set of pure cotton underwear was 218 yuan. How much less was sold in the morning than in the afternoon?
79. The grain processing factory uses 2 flour mills to grind 28,800 kilograms of flour in 5 days, working 8 hours a day. The first machine grinds 314 kilograms of flour per hour. How many kilograms does the second machine grind per hour?
80. Xiaogang read a book. He read 10 pages on the first day, and then read 5 pages more than the previous day every day. On the last day, he read 40 pages and finished it. How many days did he study in one day?
81. Xiaohua cycled 20 kilometers and 400 meters in 1 hour and 20 minutes. How many kilometers and meters do you cycle on average per hour?
82. The factory shipped a batch of raw materials. 15 tons and 400 kilograms have been shipped, and the remaining 500 kilograms are three times more than what was shipped. How many kilograms of this batch of raw materials are there? How many tons and kilograms?
83. If a typist types 150 words per minute, how many hours and minutes does it take to type a 30,000-word manuscript?
84. A rectangular rice field is 200 meters wide and the length is twice the width. How many hectares does this rice field have? If 6,500 kilograms of rice are harvested per hectare of rice field, how many kilograms of rice can be harvested from this land?
85. 10 tons of wheat can grind 8.5 tons of flour. How many tons of flour can be ground with 100 kilograms of wheat?
86. 100 tons of seawater contains 3 tons of salt. How many tons of salt does 10 tons of seawater contain?
87. The hardware factory *** produces 3,000 kilograms of iron nails. After putting them into 100 wooden boxes, there are 500 kilograms left. How many more wooden boxes are needed?
88. After eating 32.18 kilograms of a bag of rice, there is still 17.82 kilograms left. How many kilograms does this bag of rice have?
89. A football is 48.36 yuan and a basketball is 54.27 yuan. Teacher Wang spends 150 yuan to buy a football and a basketball. How much yuan should be recovered?
90. The length of a rectangle is 0.54 meters, which is 8 centimeters longer than the width. How many meters is the perimeter of this rectangle?
91. Two wires. The first one is 48.3 meters long, which is 6.5 meters longer than the second wire. After 9.4 meters are used up, how many meters is shorter than the second wire?
92. A chair costs 35.4 yuan, which is 16.2 yuan cheaper than a table. The school bought 100 sets of tables and chairs. How much does it cost?
93. A rope is divided into three sections. The first and second sections are 38.7 meters long, the second and third sections are 41.6 meters long, and the first and third sections are 39.7 meters long. How many meters are each of the three rope lengths?
94. There are 58.4 tons of grain in warehouse A, and 44 tons of grain in warehouse B. After how many tons of grain are transported from warehouse A, the grain in warehouse B will be twice that of warehouse A?
95. The school bought 320 sets of desks and chairs. Each desk cost 55 yuan and each chair 36 yuan. How much did the school spend? (Answer in two ways)
96. 7 workers process 2,632 pieces of clothing in 8 days. According to this calculation, if 3 more workers are added, how many pieces of clothing can be processed in 1 day?
97. There are 132 pear trees in the orchard, 44 fewer than peach trees. The number of apple trees is equal to twice the total number of pear trees and peach trees. How many apple trees are there in the orchard?
98. The school spent 360 yuan on buying volleyballs for the students. The money spent on footballs was 60 yuan less than twice the money on volleyballs, and exactly twice the money on basketballs. The school bought them
How much less does it cost to buy a basketball than to buy a volleyball?
99. The school assigned the task of cleaning a green space 39 meters long and 20 meters wide to two classes. There are 40 people in Class A and 38 people in Class B. If allocated according to the number of people, each class should clean it. How many square meters?
100. Three baskets of apples weigh 110.5 kilograms. If 18.6 kilograms are taken out from the first basket, 23.5 kilograms are taken out from the second basket, and 20.4 kilograms are taken out from the third basket, then the remaining weight of the three baskets The weight of apples is the same. How many kilograms are there in each of the three baskets of apples?