1: There are 90 ping-pong balls in the sporting goods. If every two are packed in a box, can they be packed properly? If you pack a box every five, can you finish it? Why?
90#2=45 boxes
90#5= 18 boxes
A: If every two are packed in a box, they can be packed accurately. If every five are packed in a box, it can also be packed accurately. Because 90 is divisible by 5.
There are 57 balls in the sporting goods store, and every three balls are packed in a box. Can they be properly packed?
57#3= 19 cases
A: I can just finish it.
3: A and B type a document of 10000 words, A type 1 15 words per minute, and B type 135 words per minute. How many minutes will it take?
10000 # (115+135) = 40 points.
A: It will be completed in 40 minutes.
4. Grade five students plant trees, 13 or 14. Each group has just finished. How many students took part in planting trees in grade five?
13X 14= 192 people
Answer: At least 192 people participated in tree planting in the fifth grade.
Although the following questions belong to practical problems, they are related to equations. I solved it with equations.
5: Two cars go back and forth from one place. One car has a speed of 365,438+0 kilometers per hour, and the other car has a speed of 44 kilometers per hour. How many minutes later, the two cars are 300 kilometers apart?
Equation:
Solution: Two cars meet after X point.
3 1X+44X=300
75X=300
X=4
4 hours =240 minutes
Answer: After 240 minutes, the distance between the two cars is 300 kilometers.
6: Two engineering teams will excavate a tunnel with a length of119m, and two teams will carry out construction from both ends. Team A digs 4 meters every day, while Team B digs 3 meters every day. How many days does it take to dig the tunnel?
Solution: Set X days to dig tunnels.
3X+4X= 1 19
7X= 1 19
X= 17
Answer: 17 days, the tunnel was dug.
7. School chorus and dance team 140 people. There are six times as many people in the chorus as in the dance team. How many people are there in the dance team?
Solution: There are X people in the dance team.
6X+X= 140
7X= 140
X=20 people
A: There are 20 people in the dance team.
From here on, this is not an equation problem.
8. The two brothers walked from home to the gym at the same time, with a length of 1300m. My brother walks 80 meters per minute, and my brother rides his bike to the gym at a speed of180 meters per minute, and will be right back. On the way, he met his brother. How many minutes did my brother walk?
1300x2 = 2600m 2600#( 180+80)
=2600#260
= 10 point
Answer: At this time, my brother left 10 minutes.
At 9 o'clock on Children's Day, Mr. Wang bought 360 biscuits, 480 sweets and 400 fruits, made a beautiful gift package and distributed it to the children as gifts. How many gift packages can he make at most?
360+480+400= 1240
Answer: You can make at most 1240 small gift packages.
10: Naughty bought 40 balloons and invited his classmates to blow them at home. In order to share the balloons equally, how many students should be invited to blow them? Naughty not to participate.
40#2=20 people 40#4= 10 people 40#5=8 people.
40#8=5 people 40#@0=4 people 40#20=2 people.
A: There are six ways to invite students, namely: 20, 10, 5, 8, 4 and 2.
1 1: trapezoidal corn field with upper bottom 15m, lower bottom 24m and height 18m. There are 9 corn plants per square meter on average. How many corn can be planted in this field?
( 15+24)x 18 # 2 = 35 1 m2
35 1X9=3 195 strain
A: This land can grow 3 159 maize plants.
12: The number of students in a class is less than 100. When waiting in line, there is just one more person in each row of 5, 4 or 3 people. How many people are there in this class?
5X4X3=60 people 60+ 1=6 1 person
A: There are 6 1 person in this class.
13: Wang Yue has a box of chocolate candy. The number of chocolates every 7, 5 and 3 is 1. How many chocolates are there in this box?
7X5X3= 105 capsules 105+ 1= 106 capsules.
There are at least 106 chocolates in this box.
14: There is a rectangular tunnel with a length of 15 m and a width of 1.2 m in Chenguang Community, which needs to be paved with square bricks. The designer prepared a square brick with a side length of 30 cm. Please calculate: how many such bricks are needed? If each square brick is 3 yuan, how much will it cost to build this tunnel?
15m = 150 decimeter 1.2m = 12 decimeter 30cm =3 decimeter.
150x12 =1800 square decimeter 3X3=9 square decimeter.
1800#9=200 yuan 200X3=600 yuan.
Answer: We need 200 such square bricks, and we need 600 yuan.
15: There are two parallelogram experimental fields with the same area. One is 70 meters long, 45 meters high and the other is 90 meters long. What's your height?
70x 45 = 3 150 m2 3 150 # 90 = 35m。
A: The height is 35 meters.
16: A batch of steel pipes are piled into a pile, with the bottom layer 10, the top layer 1 less 1 less, and the top layer 1 less. How many steel pipes are there in this batch?
10-5+ 1=6 floors (10+5)X6#2
= 15X6#2
=90#2
=45 pieces
A: There are 45 steel pipes in this batch.
1, a barrel of gasoline poured out 20%, which is exactly 24 kilograms. How much does this barrel of gasoline weigh? (column equation solution)
2. A garment factory produced 4,500 sets of sportswear in February, which was less than 5,438+10% in June. How many sets of sportswear were produced in June+10, 5438?
3. 10 hectare wheat field, with an average harvest of 4.8 tons of wheat per hectare. According to the flour yield of 85%, how many tons of flour can these wheat grind?
The wall of this clean room should be painted. This room is 4 meters long, 3 meters wide and 3 meters high. Excluding the door and window area of 4.7 square meters, 0.6 liters of paint is used per square meter, and 4.5 liters of matte paint is used for the external wall of Nippon Mengqiancai, with a price of 286 yuan per barrel. How much does it cost to paint a well-painted room?
There are 49 students in one class, including 24 boys. What percentage of boys are in this class? What percentage of girls are in the class?
6. Saw a 30-meter-long steel pipe into three sections. The first section is 7 meters long and 2.5 meters shorter than the second section. How long is the third section?
7. There is a swimming pool, which is 25m long,12m wide and1.4m deep. Square white tiles with a length of 2 meters are attached to the bottom and edge of the pool. A * * *, how many pieces do you need?
8. An engineering team built an expressway with a length of15.8km.. Five kilometers were built in the first week, and the second week was 0.7 kilometers more than the first week. How many kilometers does it take to complete it?
9. The rectangular reservoir has 265,438+000 cubic meters of water. This reservoir is 50 meters long and 20 meters wide. How deep is it?
10, the school shipped 7.6 cubic meters of sand and spread the sand in a bunker 5 meters long and 3.8 meters wide. How thick can it be laid?
1 1, a water conservancy engineering team, the average daily maintenance of canals 125m in the first four days, and 134m in the last three days. How many meters of canals does this engineering team build on average every day?
12. How long does it take to make 10 cubic iron frame with a side length of 8 cm?
13. Make an iron box with iron sheet so that its length, width and height are 1.8 decimeter, 1.5 decimeter and 1.2 decimeter respectively. How many square meters does it take to make such an iron box?
14. How many square meters of glass does it take to make a 3 mm long uncovered cubic glass fish tank?
15. 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?
16. A commodity box is a cube with a side length of 6 cm. What is the maximum area of a box with a trademark?
17. How many square meters of wood do you need to make drawers with a length, width and height of 2.8 decimeters,10.5 decimeters and 2.2 decimeters respectively?
18. There is a fish pond, which is18m long,12m wide and 3.5m deep. A layer of cement should be laid around the fish pond to prevent water seepage. If 5 kilograms of cement is used per square meter, how many kilograms of cement does a * * need?
19. The processing factory will process a batch of TV sets. (No bottom) Each TV is 60 cm long, 50 cm wide and 55 cm high. How many square meters of cloth does it take to make 1000 sets?
20.24 rectangular iron chimneys, each 2m long, 4m wide and 3m high. How many square meters of iron do you need?
2 1, rectangular goldfish bowl, 8 decimeters long, 5 decimeters wide and 6 decimeters high. Accidentally, the glass in front was broken. What is the area of the glass when it is repaired?
22. The cuboid is 4 decimeters in length, 2.5 decimeters in width and 3 decimeters in height. How many cubic decimeters is its volume?
23. 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?
24. There is a rectangular steel with a length of 2 meters, a square cross section and a side length of 5 cm. Each cubic decimeter of steel weighs 7.8 kilograms. How much does this square steel weigh?
25. What is the volume of a cuboid with a bottom area of 30 square decimeters and a height of 3 meters?
26. Writing director 1.3m, 0.6m wide and 0.8m high. How much space does 20 such desks need?
27. A 5-meter-long cube fish tank is filled with water. Pour water into a rectangular fish tank with a bottom area of 48 square decimeters and a height of 6 decimeters. How deep is the water in the fish tank?
28. A cubic tank with a side length of 8 decimeters can hold 490 liters of water. Pour water into a cuboid water tank with a length of 10 decimeter, a width of 7 decimeters and a height of 8 decimeters. What is the depth of the water tank?
29. Forge an 8 cm long cubic billet into a rectangular steel plate with a length of 16 cm and a width of 5 cm. How thick is this steel plate? (excluding losses)
30. A cuboid oil drum with a bottom area of 18 square decimeter can hold 43.2 kilograms of oil. If each liter of oil weighs 0.8 kg, what is the height of oil in the oil drum?
3 1. Rectangular iron sheet is 30 cm long and 25 cm wide. Cut a square with a length of 5cm from each of the four corners to make a box without a lid. How much iron is used in this box? What is its volume?
32. Cut a rectangular wooden board with a length of 26dm into squares with a side length of 3 m at the four corners, and make a cuboid container with a volume of 840 cubic decimeters. What was the initial width of this board?
A rectangular swimming pool is 60 meters long, 30 meters wide and 2 meters deep. How many square meters is this swimming pool? Draw the water level line with red paint along the inner wall of the swimming pool at 1.5 meters. How long is this line? Now the water in the swimming pool just reaches the water level. What's the volume of water in the pool?
34. A rectangular glass jar, measured from the inside, is 40 cm long, 25 cm wide and 12 cm deep. After a stone is immersed in water, the water surface rises to 16 cm. What is the volume of the stone?
35, 80 square meters, piled into a cuboid with a length of 2 meters, a width of 2 meters and a height of 1.5 meters. What is the average volume of each square wood? How many cubic decimeters?
36. What is the volume and surface area of three cubes with a side length of 8 cm?
37. The furniture factory ordered 500 square logs, each with a cross-sectional area of 25 square decimeters and a length of 3.8 meters. What is the volume of these logs?
38. What are the volumes and surface areas of two cubes with a side length of 1.5 decimeter?
39. The surface area of a cuboid is 156 square decimeter, the bottom area is 30 square decimeter, and the perimeter of the bottom surface is 32 decimeter. What is the volume of this cuboid?
40. 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?
4 1. The rectangular body with a square bottom is 5 meters long. Cut into four sections, the surface area increased by 36m2. What is the volume of this cuboid?
42. In Grade Five, there are 23 boys and 25 girls. What is the percentage of girls to boys? What is the percentage of boys and girls in this class?
43. Divide 3 tons of rice into 5 parts on average. How many tons per serving? How much is the rice per serving?
44. The school library has 280 comic books and 140 literature books. How many comic books are there? Which part of a comic book is a literature book?
45. 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?
46. Master Wang processed 34 parts in 6 hours and 40 parts in 7 hours. Who is efficient?
47. 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?
48. A cuboid reservoir is 8m long, 5m wide and 3m deep. What is the area of this reservoir? How many cubic meters of water can it hold at most?
Xiaoming's father made a cube fish tank with a length of 6dm out of glass. How many square meters of glass does it take to make this fish tank? Xiaoming injected 144L water into the fish tank. What is the height of the water?
50. In the last four quarters, Machine Tool Plant has completed the annual tasks of 1/6, 1/5, 4/ 15 and 7/ 10 respectively. How many points did you exceed last year's annual plan?
5 1. A batch of steel was sent from the construction site, including 2 tons of round steel, 2/5 tons of square steel and 7 tons of other steel. How many tons of steel are there?
52. Find a two-digit number and exchange the ten digits with the one. The two digits obtained are still prime numbers. Write two such two-digit numbers.
53. Students from Class 5, Grade 5 come into life and queue up to perform. There are 65,438+02 people or 65,438+06 people in each row. It is understood that there are less than 50 students in this class. Can you figure out how many students there are in this class?
1. Laying underground cables on Zhongyuan Road, 34 meters have been laid, and 250 meters have not been laid. How long is this cable?
2. Repair a section of road. The full length 1/4 was repaired on the first day, and 90 meters was repaired on the second day. At this time, there is still150m to be repaired. How long is this road?
There is a pile of yellow sand on the construction site, which is 23% used and just 60 tons used. How many tons is this pile of yellow sand?
4. Sound travels in the air for about 3 seconds 1 km, and the speed of light is about 300,000 km per second. What is the speed of sound?
5. A wheat experimental field, originally planned to produce 8 tons of wheat per hectare, actually produced several tons of wheat per hectare?
6. The staff canteen planned to burn 5 tons of coal in April, but actually burned 4.8 tons. What percentage was saved?
7.4250 kg of flour can be ground with 5000 kg of wheat to get the flour yield of wheat.
8. Wheat flour yield is 80%. How many kilograms of wheat does it take to grind 640 kilograms of flour?
9. There are 50 students in Class 6 (1), and one day there are two students on leave, so what is the attendance rate that day?
10, arbor day * * * planted a number of trees, 485 trees survived, 15 trees did not survive. Seek the survival rate of this tree planting.
1 1. Miss Wang went to the sporting goods store and bought five small footballs. She paid 100 and got back 32.5. How much is each small football?
12. Two cars, A and B, leave from two places 255 kilometers apart at the same time. Car A travels 52 kilometers per hour and car B travels 57 kilometers per hour. A few hours later, the distance between the two cars is still 37 kilometers.
13, master and apprentice * * * processed 208 machine parts, and the number of parts processed by master was four times that of apprentice. How many parts did the master and apprentice process respectively?
14. Wang Fang's deposit is 2.2 times that of Li Li. If Lili deposits 75 yuan in the bank again, the deposits of the two people will be equal. How much did each of them save?
15, grade five, bought a batch of notebooks for three excellent students. If each student is awarded 5 copies, there are still 3 copies. If each person sends 6 copies, it will be less 12 copies. How many "three good" students did you choose in the fifth grade? How many notebooks did you buy?
16. There are 80 sheep on the hillside, among which the white sheep is four times that of the black sheep. How many black sheep and white sheep are there on the hillside?
17. Two baskets of oranges were sold in the shop. The first basket weighs 26 kilograms and the second basket weighs 29 kilograms. The second basket sold 9 yuan more than the first one. What is the average price of oranges? (Solve in two ways)
18, trapezoidal wheat field, covering an area of 540m2, height18m, upper bottom 20m, and lower bottom 20m?
19. Two cars, A and B, set off from two places 750 kilometers apart at the same time, face to face and meet in five hours. Car A travels 80 kilometers per hour, and how many kilometers does car B travel per hour?
20. Two cars leave from the same place at the same time. After driving for 4.5 hours, car A lags behind car B 13.5 km. It is known that car A travels 35 kilometers per hour. How many kilometers does bus B travel per hour?
2 1, the students went for a spring outing, and there were already 45 people in the car; There are still four groups waiting for the next bus, each with 9 people. How many people went for a spring outing?
22.A * * * There are 150 people going for a spring outing, and 54 people have already left. The rest will be transported by two cars. How many people can each car carry 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, and Xiaohong made 18 fewer flowers than Xiaojun. How many flowers did they make together?
25. I bought 25kg Chinese cabbage for the first time and175kg Chinese cabbage in the canteen for the second time. How much does it cost to buy Chinese cabbage in the canteen at 6 cents per kilogram?
26. Xiaohua showed Xiaogang a book. Xiaohua read 132 pages in 4 days and Xiaogang read 96 pages in 3 days. Who reads fast? Why?
27. Mom bought three T-shirts for Xiaoming, each 23 yuan. She paid the shop assistant 100 yuan. How much should she get back?
28. Sporting goods stores used to have 72 basketballs, but they sold 60 and bought 45. How many basketballs are there now?
29. The students visited the Observatory. There are nine girls, and the number of boys is three times that of girls. Is a 40-seat 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, and there are 12 boxes of checkers. How many boxes are there less than the flag?
3 1. The school bought 80 boxes of white chalk and 20 boxes of red chalk, and used 60 boxes. How many boxes are left?
32. The teacher has 8 bags of table tennis, 6 in each bag, and lends them to classmates 15. How much is left?
33. The teacher spent 70 yuan on books and bought seven sets of story books, each of which cost 9 yuan. How much is left?
34. The clothing group had 90 meters of cloth, 63 meters of which were used, and the rest of the cloth was made into 9 sets of clothes. How many meters of cloth does each suit use on average?
There are 80 packets of instant noodles in the grocery store. I sold 26 bags in the morning and 34 bags in the afternoon. How many bags are left? (Answer in two ways)