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Sixth grade mathematics book 4 unit 1 positive-negative ratio, proportion application problem
Application of positive-negative ratio

1. Use the same square brick to lay the floor, and lay 20 square meters in 320 yuan. If you lay 42 square meters, how many square bricks will you use?

2. A classroom needs 275 square bricks with an area of 0.16m2. How many square bricks do you need if you use a square brick with an area of 0.25 square meters?

Four cars are used in the construction site, and 60 cubic meters of soil are transported every day. How many cubic meters of soil can be transported every day if six identical cars are used?

The man-made earth satellite launched by our country orbits the earth for about 3.6 hours for 3 times. How many hours does it take to run for 20 times?

5. A kind of iron wire, 7.5 meters long and weighing 3 kilograms. It is now 19.5 meters long. How much does it weigh?

6. The car travels 240 kilometers in three hours on the expressway. According to this calculation, how many kilometers do you drive in five hours?

7. Built a highway and walked 200 meters in four days. According to this calculation, it took another six days and how many meters were built?

8. Xiao Ming reads a book, reading 12 pages every day, which can be finished in 8 days. If you read four more pages a day, how many days can you finish it?

9. The school was assigned some tree planting tasks this spring. It takes six days to plant 200 trees a day to complete the task. It takes four days to finish the task now. How many more trees are actually planted every day than originally planned?

This farm plows 225 hectares of land with three tractors every day. At this rate, how many hectares will be cultivated by five identical tractors every day?

1 1, a ship, sailing 20 kilometers per hour from place a to place b, 12 hours to arrive. When returning from B to A, sail at a speed of 4 kilometers per hour. How many hours will it arrive?

12, 100 kg of soybean can squeeze out 13 kg of oil. According to this calculation, how many tons of soybeans do you need to squeeze 6.5 tons of soybean oil?

13, the school plans to buy 54 tables, each 30 yuan. If the money is used to buy chairs, you can buy 90. How much is each chair?

14, a pair of meshing gears, the driving wheel has 20 teeth, and it rotates at a speed of 60 revolutions per minute. If the driven wheel rotates 40 revolutions per minute, what is the number of teeth of the driven wheel?

15, erect a 3-meter-long bamboo pole on the ground, and measure the shadow length of 1.2 meters. At the same time, the shadow length of a flagpole is measured to be 4.8 meters. How high is the flagpole?

16. On the drawing, a machine part is 5mm long and 4cm wide. Find the scale of this picture. (5 points)

17, 26 cm on the map, how many kilometers on the map with the scale of 1: 1300000? (5 points)

18, Li Shifu planned to produce 450 parts, but 330 parts were still unfinished after 8 hours of work. At this rate, how many hours will it take for * * * to complete the task?

19. Bind the same exercise book with a batch of paper. If each book has 30 pages, you can bind 80 books. If the number of pages per page is reduced by 20%, how many copies can this batch of paper be bound?

A printing factory planned to print 20,000 textbooks in April, but it printed 5,600 textbooks in eight days. At this rate, how many books can be printed in April?

2 1. There is a batch of coal in the canteen. It is planned to burn105kg every day for 30 days. After improving the coal-burning technology, 90 kilograms of coal can be burned every day. How many days can this batch of coal burn?

22. Yuejin Machine Tool Factory originally planned to manufacture 200 machine tools in 30 days, but only 40 in 20 days. According to this calculation, how many days can you finish the task ahead of schedule?

23. The farm dug ditches, which were dug 180m five days ago. At this rate, it took 16 days to finish digging the canal. How long is this canal?

24. On the map with the scale of1:6,000,000, the distance between the two places was measured to be 5cm, and two cars, A and B, walked in opposite directions from both places at the same time and met three hours later. It is known that the speed ratio of car A and car B is 2:3. What are the speeds of cars A and B?

25, a map, 20 cm on the map represents the actual distance 10 km, how to find the scale of this map?

25. A train travels 350 kilometers from A to B in five hours. According to this calculation, it will take 9 hours. How many kilometers is it between A and B?

26. Huaying Primary School has a rectangular playground with a length of120m and a width of 80m, which is drawn to scale.

On the plan of 1: 4000, how many centimeters are drawn in length and width? (6 points)

27, road repair, if you repair 120 meters every day, you can finish it in 8 days; If we repair150m every day, how many days will it take? (solved by proportional method)

28. Students do exercises, and there are 20 people in each row, which is exactly 18 row. If there are 24 people in each row, how many rows can you stand? (solved by proportional method)

29. Planes fly 480 kilometers per hour and cars travel 60 kilometers per hour. It takes four hours by plane and several hours by car. (solved by proportional method)

30, build a highway, 0.5 kilometers a day, 36 days to complete. If you repair 0.6 km every day, how many days will it take? (solved by proportional method)

3 1, a salt drying field can dry 15 kg of salt with 500 kg of seawater; According to this calculation, how many tons of salt can be dried by 100 tons of seawater? (Answer in proportion)

32. A workshop is equipped with a number of televisions. If you install 50 TV sets every day, it will take 60 days to complete the task. If you want to use them,

40 days to complete the task, how many units should be installed every day? (solved by proportional method)

33. It is planned to produce a batch of parts every day 160 pieces, which can be completed in 15 days. Actually, 80 pieces are overproduced every day, which can be completed a few days in advance? (solved by proportional method)

Xiao Ming bought four identical exercise books and used 4.8 yuan. How many such exercise books can 3.6 yuan buy?

35. On the map with the scale of 1: 2000000, A and B are 4 cm long, and B and C are 500 km apart. How long should they be painted on this map? How many hours does it take for a car to go from A to B to C at 200 kilometers per hour?

Reference answer

1. Positive proportion

20:320=42:X

X=672

2. Inverse ratio

0.25X=0. 16×275

X= 176

Proportional

60:=X:6

x = 90°

Proportional

3:3.6=20:X

X=24

Proportional

3:7.5=X: 19.5

X=7.8

Proportional

240:3=X:5

X=400

7. Positive proportion

200:4=X:6

X=300

8. Inverse ratio

12+4= 16 (page)

16X= 12×8

X=6

9. Inverse ratio

4X=200×6

X=300

10. proportional

225:3=X:5

X=375

1 1.

20+4=24 kilometers

20× 12=24X

X= 10

12. proportional

6.5t=6500kg

13: 100=6500:X

X=50000

50000 kg = 50 tons

13. Inverse ratio

90X=54×30

X= 18

14. Inverse ratio

40X=20×60

X=30

15. proportional

3: 1.2=X:4.8

X= 12

16.4cm: 5mm

= 40mm: 5mm

=8: 1

17.26× 1300000 = 33800000cm = 338km

18. proportional

450-330= 120 (piece)

120:8=450:x

X=30

19. Inverse ratio

30×( 1-20%)=24 pages.

30×80=24x

X= 100

20. Positive proportion

April has 30 days.

5600:8=x:30

X=2 100

2 1.

90x= 105×30

X=35

35-30=5 days

22. Positive proportion

200-40= 160 (Taiwan Province)

160:20=200:x

X=25

30-25=5 days

23. Positive proportion

180:5=x:( 16+5)

X=756

24.5×6000000 =30000000 cm = 300 km

300÷3 = 100 km/h

Answer:100 ÷ 5× 2 = 40km/h.

B: 100 ÷ 5× 3 = 60 km/h。

25.20cm: 10km = 20: 1000000 = 1:50000

26.120m =12000cm 80m = 8000m.

Length: 12000÷4000=3cm

Width: 8000÷4000 = 2 cm

27. Inverse ratio

150x=20x8

X=6.4

28. Inverse ratio

24x=20x 18

X= 15

29. Inverse ratio

60x=480x4

X=32

30. Inverse ratio

0.6x=0.5x36

X=30

3 1.

100 ton = 100000 kg

500: 15= 100000:x

X=3000

32. Inverse ratio

40x=50x60

X=75

33. Inverse ratio

160+80=240 (pieces)

240x= 160x 15

X= 10

15- 10=5 (days)

34. Positive proportion

4,8:4=3.6:x

X=3

35.500 km = 50000000 cm 5000000 ÷ 20000000 = 2.5 cm.

4x20000000 = 80000000 = 800km.

(800+500)÷200 = 6.5 hours