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1) Length measurement unit and feed rate: Kilometer (kilometer), meter, decimeter, centimeter, millimeter

1 kilometer = l kilometer 1 kilometer = 1000 meters l meter = lo decimeter 1 decimeter = lo centimeter l centimeter: 10 mm

(2) Area measurement units and rates: square kilometers, hectares, square meters, square decimeters, square centimeters

1 square kilometer = 100 hectares l square kilometer =1,000,000 square meters

l hectare = 10,000 square meters 1 square meter = 10.0 square decimeters

1 square decimeter = 100 square centimeters

( 3) Volume measurement and volumetric rate: cubic meter, cubic decimeter, cubic centimeter, liter, milliliter

l cubic meter = 1000 cubic decimeter 1 cubic decimeter = 1000 cubic centimeter

l cubic decimeter = l liter 1 cubic centimeter = l milliliter.

(4) Mass units and rates: tons, kilograms, kilograms, grams

1 ton = 1000 kilograms 1 kilogram = 1 kilogram 1 kilogram = 1000 grams

< p>(5) Time unit and progress rate: century, year, month, day, hour, minute, second

l century = 100 years 1 year = 12 months (a 31-day month has 1, 3, 5, 7, 8, 10, and 12 months, 30-day months include April, June, September, and November. February has 28 days in normal years and 29 days in normal years.) 1 day = 24 hours, 1 hour = 60 Minute 1 minute = 60 seconds

1000 microns = 1 millimeter

10 millimeters = 1 centimeter

10 centimeters = 1 decimeter

10 decimeters=1 meter

1000=1 meter Kilometer=1 kilometer

1000 grams=1 kilogram=1 kilogram

2 pounds=1 kilogram< /p>

100 milliseconds=1 second

60 seconds=1 minute

15 minutes=1 quarter of an hour

60 minutes=1 hour

p>

24 hours = 1 day

30 days = 1 month

12 months = 1 year

1 kilometer = 1000 meters 1 meter = 10 decimeters

1 decimeter = 10 centimeters 1 meter = 100 centimeters

1 centimeter = 10 millimeters

Area unit conversion

1 square kilometer = 100 hectares

1 hectare = 10,000 square meters 1 mu = 666.666 square meters

1 square meter = 100 square decimeters

1 square meter Decimeter = 100 square centimeters

1 square centimeter = 100 square millimeters

Volume (volume) unit conversion

1 cubic meter = 1000 cubic decimeters< /p>

1 cubic decimeter = 1000 cubic centimeters

1 cubic decimeter = 1 liter

1 cubic centimeter = 1 milliliter

1 cubic meter Meter = 1000 liters

Weight unit conversion

1 ton = 1000 kilograms

1 kilogram = 1000 grams

1 kilogram = 1 kilogram

RMB unit conversion

1 yuan = 10 jiao

1 jiao = 10 cents

1 yuan = 100 cents

Time unit conversion

1 century = 100 years 1 year = 12 months

The big month (31 days) has: 1\3\5\7\8\10\ December

Small months (30 days) include: April\6\9\November

February has 28 days in ordinary years and 29 days in leap years

There are 365 days in a normal year and 366 days in a leap year

1 day = 24 hours 1 hour = 60 minutes

1 minute = 60 seconds 1 hour = 3600 seconds

1. Cut off a part of a cylinder with a height of 12 cm. If the height of the cut-off part is 3CM, then the surface area of ??the remaining part will be reduced by 28.26 square centimeters.

What is the original volume of the cylinder?

2. A certain factory produced 500 machine tools in May, exceeding the original plan by 25%. How many machines exceeded the original plan?

3. After sawing a 5-meter-long cylindrical wood into three pieces, the surface area increases by 5024 square centimeters. What is the volume of the wood in cubic decimeters?

4. There are 60 people in the sixth grade and 72 people in the fifth grade. They are divided into groups to plant trees. It is required that the number of people in the two grades is equal. Each group has a maximum number of people. The fifth grade and the sixth grade are divided into How many groups are there?

5. The school playground is 96 meters long. There are no red flags placed every 4 meters from one end to the other. Now it should be placed every 6 meters. Are there any small red flags that do not need to be pulled out? How many sides?

6. Three children pooled their money to buy a 48 yuan Olympic medal. The first child paid one-seventh of the total amount paid by the other children, and the second child paid The money was one-third of the total paid for the other children. How much was paid for the third child?

7. A, B, and C bought 10 pieces of cake and ate them equally. When buying, A paid for 6 pieces of cake, B paid for 4 pieces of cake, and C did not Pay the money. At settlement, C pays 6 yuan, how much money should A get back?

8. A line includes 14 stations including the starting station and the terminal station. If a bus has exactly one passenger on board at each station except the terminal station, In order for every passenger to have a seat at every stop, how many seats does this bus have?

9. Xiao Ming and his parents are 88 years old this year, and their father is 88 years old this year. Mom is 5 years older. Six years ago, my father’s age was 7 times that of Xiao Ming, and my mother’s age was 6 times that of Xiao Ming? How old is Xiao Ming this year?

10. Large and small trucks with a load capacity of 5 tons and 3 tons are used to transport 49 tons of watermelon to the city. How many trucks are transported by each large and small truck?

11. There are several 1 yuan, 2 yuan and 5 yuan banknotes. How many ways can you take out 8 yuan?

12. On Sunday, 10 children went On a spring outing, I passed by a store and each bought a bottle of soda. The store stipulates that 3 empty soda bottles can be exchanged for one soda. So how many bottles of soda can they drink at most?

13. To make a rectangular bathtub (without cover), 8 decimeters long, 4 decimeters wide, and 6 decimeters high, how many square decimeters of glass is needed at least? If glass costs 4 yuan per square decimeter, how much does it cost to buy glass? 14． A room is 6 meters long, 3.5 meters wide, and 3 meters high. The door and window area is 8 square meters. Now we need to plaster the four walls and roof of this room with cement. How many square meters will the cement plaster area cover? If 4 kilograms of cement are needed per square meter, how many kilograms of cement are needed per day?

15. A cube of stone has an edge length of 5 decimeters. Each cubic meter of stone weighs approximately 2.7 kilograms. How many kilograms does this stone weigh?

16. A box of biscuits is 20 cm long, 15 cm wide and 30 cm high. Now we need to put label paper around it. What is the area of ??this label paper in square centimeters?

17. A rectangular stone has a cross-sectional area of ??36 square decimeters and a length of 0.8 meters. If 1 cubic decimeter of stone weighs 2.7 kilograms, how many kilograms does this stone weigh?

18． A rectangular medicine tank contains 60 liters of medicine. It is known that the inside of the medicine tank is 5 decimeters long and 3 decimeters wide. How many decimeters is its depth?

19． There is a cube of iron with an edge length of 80 centimeters. Now it is to be melted and cast into a cuboid with a cross-sectional area of ??20 square centimeters. What is the length of this cuboid in centimeters?

20. If two cubes with sides of 5 cm are put together to form a cuboid, what is the surface area of ??the cuboid in square centimeters?

21． A rectangular steel section is 1.6 meters long and has a square cross-section with a side length of 4 centimeters.

Each cubic centimeter just weighs 7.8 grams. How much does this square steel weigh?

22. Use iron sheets to make a rectangular oil drum without a cover. The length and width are 4 decimeters and the height is 6 decimeters. How many square decimeters of iron sheets are used? Put gasoline in a barrel. Each liter of oil weighs 0.82 kilograms. How many kilograms of gasoline can this oil barrel hold? twenty three. The base of a cuboid is a square with a side length of 10 decimeters. Its height is 6 decimeters. What is the sum of the edge lengths of this cuboid? What is the floor space? What is the surface area? What is the volume?

24. A rectangular glass tank is 40 cm long and 25 cm wide when measured from the inside, and the water depth in the tank is 12 cm. After a stone is immersed in water, the water level rises to 16 cm. Find the volume of the stone.

25． Places A and B are 120 kilometers apart. A person rides a bicycle. It takes 5 hours to go from place A to place B, and it takes 4 hours to speed up when he comes back. How many kilometers per hour does he travel on average for a round trip?

26. To make a 12-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? 15. If two cubes with a surface area of ??24 square decimeters are put together to form a cuboid, what are the volume and surface area of ??the cuboid?

27． A 4-meter-long steel bar is cut into 6 sections on average. How many meters long is each section? What fraction of the total length do the three sections account for? 28. A can complete a project in 12 hours, B can complete it in 8 hours, and C can complete it in 9 hours.

After three people worked together for an hour, what fraction of the total project was left?

29. Two trucks A and B transport 10.5 tons of cargo. The cargo transported by truck A is 4 tons less than twice that transported by truck B. How many tons of cargo are transported by each truck A and B?

30. A rectangular glass jar is 5 decimeters long and 3 decimeters wide when measured from the inside. The depth of the existing water is 1.5 decimeters. When a stone is immersed in the water, the depth of the water is 2 decimeters. What will happen to the stone? What is the volume in cubic decimeters?

31. A room is 8 meters long, 6 meters wide, and 2.5 meters high. If you put wallpaper on the walls around the room, and the area is 10 square meters excluding doors and windows, how many square meters of wallpaper will be needed? The wallpaper is 3.5 yuan per square meter. How much does it cost to paste these wallpapers?

32． There is a swimming pool that is 25 meters long, 12 meters wide, and 1.4 meters deep. The bottom and sides of the pool are square white tiles with a length of 2 decimeters. How many square white tiles are used in one bath?

33． A cube container with an edge length of 6dm is filled with water. All the water in the container is poured into a rectangular water tank. The water tank is 6dm long, 5dm wide and 8.5dm high from the inside. What is the depth of the water poured into the tank at this time? ? How many more liters of water should be poured in to fill the tank?

34. Yuying Primary School has 120 students in the upper grade, 130 students in the middle grade, and 140 students in the lower grade. What fraction of the number in the middle grade accounts for the whole school?

35. A rectangular iron box with a square bottom surface. If you unfold its sides, you will get a square with a side length of 40cm. What is the volume of this iron box in liters?

36. The teacher made 40 small red flowers, and used them to award the first group, and used them to award the second group, and the rest were awarded to the third group. What fraction of the total number of red flowers did the third group get? ?

37. Cut a 5-meter-long rope into 4 sections on average, each section is ( ) meters long, and each section is full-length ( )

38. Divide 3kg of fruit equally among 4 children, each child will get ( ) of the 3kg of fruit, and each child will get ( ) kg

39. Master Wang made 5 parts in 8 minutes. He can make ( ) parts per minute. It takes ( ) minutes to make one part.

Cut off the meters from the 40.5-meter-long rope, and there will be ( ) left. Cut off the ends of the 5-meter rope, and there will be ( ) meters left

41. Add 9 to the numerator and add ( ) to the denominator so that the size of the fraction will not change.

42. The smallest three-digit number that can be divided by 2 and 3 at the same time is ( ) The smallest three-digit number that can be divided by 3 and 5 at the same time is ( ) The smallest three-digit number that can be divided by 2, 3, and 5 at the same time is ( ) The largest two-digit number that is divisible by 2 and 3 is ( ). The largest two-digit number that is divisible by 3 and 5 is ( ). The largest two-digit number that is divisible by 2, 3, and 5 is ( ). The largest prime number within 100 is ( ). ( ) The largest prime number within 50 is ( ) 43. The sum of all prime numbers within 20 is ( ) The sum of all composite numbers within 20 is ( ) The sum of all odd numbers within 20 is ( ) The sum of all even numbers within 20 is ( ) < /p>

44. For a three-digit number, the ones digit is the smallest composite number, the tens digit is the smallest prime number, and the hundreds digit is the smallest odd number. This three-digit number is ( )

45. In a basket of apples, if you take 2 apples, take 3 apples, take 4 apples, or take 5 apples, one will be left. There are at least ( ) apples in this basket

1. In the brackets below Fill in the appropriate mixed numbers.

(1) 1200 meters = ( ) kilometers;

(2) 125 minutes = ( ) hours;

(3) 1050 kilograms = ( ) Ton;

(4) 3 meters 40 centimeters = ( ) meters;

(5) 70 seconds = ( ) minutes;

(6) 1500 ml = ( ) liter;

(7) 260 square decimeter = ( ) square meter;

(8) 5 square decimeter 5 square centimeter = ( ) square decimeter.

2. Fill in the blanks.

(1)4.5 cubic meters=( ) cubic decimeters

(2)4.5 square meters=( ) square decimeters

(3)280 cubic meters Centimeter=( ) cubic decimeter

(4)9 cubic decimeter=( ) liter=( ) milliliter

(5)7.6 liter=( ) cubic decimeter=( ) Cubic centimeter

(6)500 ml=( ) liter

(7)567 ml=( ) cubic centimeter=( ) cubic centimeter

(8) 1997 cubic centimeters = ( ) milliliters = ( ) liters

3. Fill in the blanks

500cm3 = ( )dm3

0.5m3 = ( )dm3

5.6cm3=( )mL

825dm3 =( )cm3

3500 mL=( ) L

3.5L=( ) dm3

6580 mL=( )L=( ) dm3

7.8dm3=( )L=( )mL

4. Fill in the blanks

90 square meters Centimeters = ( ) square meters

875 square centimeters = ( ) square decimeters ( ) square centimeters

5 square meters 8 square decimeters = ( ) square meters = ( ) square minutes Meters

7 square meters = ( ) square meters ( ) square decimeters

2500 square centimeters = ( ) square decimeters ( ) square centimeters

3 hectares = ( ) square meter

5. Fill in the blanks

1.4m^2 5dm^2=( )m^2.

2. 2h45min=( )h. (Fill in the fraction)

3.1.25kg=( )g.

4. When 65mim=( ) (fill in the fraction)

5. 3.15h=( )h( )min

6. m2 4dm2 =( ) m2 =( )dm2

7. 4 h 15 min=( )h.

8.3.04 t=( )kg.

9.3.04 L=( ) L( )mL

10. 8 h 45 min=( )h (fill in the decimal)

11. 1.8 square Meter = ( ) square decimeter

12. 90 square decimeter = ( ) square meter

13. 130 square centimeter = ( ) square decimeter

14. 5.2 square meters = ( ) square meters centimeters

15. 2 square meters 6 square decimeters = ( ) square decimeter

16. 9.7 square meters = ( ) square meters ( ) square decimeter

17. 3 square meters 50 square decimeters = ( ) square meters

18. 4 square decimeters 9 square centimeters = ( ) square centimeters

19. 6.8 square meters = ( ) square meters ( ) square decimeters

20.1 square meters 30 square centimeters = ( ) square meters = ( ) square centimeters

1 Kilogram = 1000 grams, 1 ton = 1000 kilograms

1 meter = 10 decimeters = 100 centimeters = 1000 millimeters, 1 kilometer = 1000 meters

1 square meter = 100 square minutes Meter = 10,000 square centimeters = 1,000,000 square millimeters

1 cubic meter = 1,000 cubic decimeters = 1,000,000 cubic centimeters = 100,000,000 cubic millimeters

1 hour = 60 minutes

1 minute = 60 seconds

60 millimeters = ( ) centimeters

2 tons = ( ) kilograms

8 meters = ( ) decimeters

5000 grams = ( ) kilograms

3 kilograms = ( ) grams

7 kilometers = ( ) meters

400 centimeters = ( ) meters< /p>

6000 kilograms = ( ) tons

3 tons 500 kilograms = ( ) kilograms

3600 kilometers = ( ) kilometers ( ) meters

< p>1 ton - 320 kilogram = ( ) kilogram

480 mm + 520 mm = ( ) millimeter = ( ) meter

7008 kilogram = ( ) ton ( ) kilogram

4 meters 7 centimeters = ( ) centimeters

1 meter - 54 centimeters = ( ) centimeters

830 grams + 170 grams = ( ) grams = ( ) kilograms

0.15 kilogram = (150) grams 3.001 tons = (3) tons (1) kilograms

3.7 square decimeters = (37000) square millimeters 5.80 yuan = (5) yuan (8) jiao< /p>

(15) decimeter = 1.5 meters (4) tons (80) kilograms = 4.08 tons

510 meters = (0.51) kilometers 5 meters 16 centimeters = (5.16) meters< /p>

5 kilograms 700 grams = (5.7) kilograms 0.95 meters = (95) centimeters

4700 meters = (4.7) kilometers 3650 grams = (3.65) kilograms

40.06 tons = (40060) kilogram 1.4 square meters = (140) square decimeters

360 square meters = (0.036) hectares 7.05 meters = (7) meters (5) centimeters

5.45 kilograms = (5) kilograms (450) grams

3 kilometers 50 meters = (3.05) kilometers (0.5) hours = 30 minutes

3 kilograms 500 grams = (3.5) kilograms (2.75) hours = 2 hours and 45 minutes

2.78 tons = (2) tons (780) kilograms

0.25 hours = (15) minutes

504 centimeters = (5.04) meters

4.2 meters = (4) meters (20) centimeters

10 meters and 7 decimeters = (10.7) Meters

0.06 square kilometers = (6) hectares

9 kilograms 750 grams = (9.75) kilograms

8.04 tons = (8) tons ( 40) kilogram

>

6.24 square meters = (624) square decimeters

5 meters = ( ) decimeters

50,000 meters = ( ) kilometers

6 yuan and 8 jiao = ( ) yuan

50 centimeters = ( ) meters

5 centimeters = ( ) meters

280 grams = ( ) kilograms

p>

28 grams = ( ) kilogram

7 tons 900 kilograms = ( ) tons

7 tons 90 kilograms = ( ) tons

28 points Meter = ( ) meter

28 centimeters = ( ) meter

3 jiao and 2 cents = ( ) yuan

619 grams = ( ) kilogram

19 grams = ( ) kilogram

7 cents = ( ) yuan

6 decimeter = ( ) meter

37 grams = ( ) kilogram< /p>

370 grams = ( ) kilogram

9 decimeters = ( ) meters

64 centimeters = ( ) meters

208 square decimeters =( ) square meter

4620 grams = ( ) kilogram

7 yuan, 4 jiao and 2 cents = ( ) yuan

1 kilometer, 50 meters = ( ) Kilometers