Teammates will go to Moon Mountain by car. The seat numbers of Party A, Party B and Party C are three even numbers, in which the average number of Party A and Party B is 1 1, the average number of Party B and Party C is 13, and the average number of Party A and Party C is 12. Please help them find their seats.

A: B: C:

A: The average of blocks A and B is 1 1A+B =22.

The average of Block B and Block C is 13 B+C =26.

The average of a and c is 12 A, and C =24.

A is:10bis: 12 C is: 14.

2.

Every two people share 1 rice bowl, every three people share a vegetable bowl, every four people share a soup bowl, and a * * * uses 65 bowls. How many people are there?

Answer: 65 ÷ (1+31+41) = 60 people.

3.

A ship sails back and forth between A and B, traveling at a speed of 30 kilometers per hour downstream and 20 kilometers per hour upstream. What is the average speed of this ship going back and forth between A and B every hour?

A: solution; To find the average speed, it should be total distance (round trip distance)/total time (round trip total time) = average speed.

There is no need to set the distance between a and b to 1, because the total distance can be omitted.

The total distance is twice the distance, 30 hours from downstream and 20 hours from upstream.

So the average speed is

2/(1/30+1/20) = 2/((2+3)/60) =120/5 = 24 (km/h)

The average speed is 24 kilometers per hour.

4。

The wall clock strikes 6 times at 6 o'clock, and it strikes 10 second. So how many seconds does it take to knock 9 times at 9 o'clock?

Answer: 6 ÷ 10 = 0.6.

9 ÷ 0.6 = 15 (seconds)

Answer: Strike at 9: 09, and 15 seconds ends.

5.

There are 72 students in grade five and 66 students in grade six in a primary school. If the school wants to organize students of two grades to participate in extracurricular activities, they need to be grouped according to grades. What is the maximum number of people in each group to make each group the same? At this time, the fifth and sixth grades were divided into several groups.

Answer: The greatest common divisor of 72 and 66 is 6.

So there are no more than six people in each group.

The fifth grade is divided into 72 ÷ 6 = 12 groups.

The sixth grade is divided into 66 ÷ 6 = 1 1 group.

6. The school bought three ropes for skipping rope. The length of the three ropes is/kloc-0 14m.35m.28m Now we have to cut them into short ropes with the same length, and there can be no extra. What is the longest short rope cut? How many short ropes of this length can you cut?

Answer: The greatest common divisor of14,35,28 is 7.

So the longest short rope cut is 7 meters.

It can be cut into (14+35+28) ÷ 7 =11.

7.

A cuboid can be sawed into five small cubes. The sum of the surface areas of these five small cubes is 8 square centimeters larger than the original cuboid. What is the surface area of this cuboid?

Answer: 22 cm square

Four times two equals eight faces.

8 divided by 8 equals 1 cm.

The side is one centimeter long.

1 times 5 times 4 plus 1 times 1 times 2 equals 22 cm.

8. Fill a cubic tank with water with a side length of 8 decimeters, and then pour the water into a rectangular tank with a bottom area of 80 square decimeters. What is the height of water?

Answer: 8*8*8/80=6.4dm.

9. What is the area of two cuboids with a side length of 3cm, a length of 5cm and a width of 3cm?

Answer: (3*5+3*5+3*3)*2*2= 156 (square centimeter)

10. Make a rectangular iron sheet with a length of 30 cm and a width of 25 cm into a rectangular iron box with a depth of 5 cm without a cover. How many cubic centimeters is the volume of this iron box? (excluding the thickness of iron sheet)

Answer: 30-5*2=20 (cm)

25-5*2= 15 (cm)

15*20*5= 1500 (square centimeter)

1 1. If you reduce the height of a cuboid by five centimeters, it will become a cube. At this time, the surface area will be reduced by 120 cm2. What is the initial cuboid volume?

Answer: 120/4=30 (cm)

30/5=6 cm

5+6= 1 1 (cm)

6* 1 1*6=396 (cubic centimeter)

12. Two cars, A and B, are driving in opposite directions at the same time. Car A meets car B on 917. If car a is driving at a speed of 45 kilometers per hour. B train takes 8 hours, so what's the distance between the two places?

Answer:1-9/17 = 8/17.

8*8/ 17=64/ 17 hours

(45 * 64/ 17)/(9/ 17)= 320km。

13. Party A and Party B start from two places and face to face. Party A needs 8 hours to complete the journey, and Party B needs 6 hours to complete the journey. Two people set out at the same time 1 hour 30 minutes later, Party B returns to the starting point for half an hour to pack up and then set out again. They met a few hours after Party B set out again. (The answer is expressed in fractions)

Answer: Let the total distance be 1, then the speeds of A and B are 1/8 and 1/6 respectively.

Two people set off at the same time 1 hour and 30 minutes, and set off half an hour after returning to the starting point, which means that they set off 3.5 hours later than Party A. During this time, A has already left (1/8)*3.5.

The sum of their walking speeds is (1/8+ 1/6). Then the time for two people to meet should be:

( 1- 1/8*3.5)/( 1/8+ 1/6)=27/ 14

14. There are 48 students in our class and 54 students in Class Two. If the students in the two classes are divided into several groups, how many people in each group can make the two classes equal?

Answer: 48 = 2× 2× 2× 2× 3.

54=2×3×3×3

The greatest common divisor of 48 and 54 is 2× 3 = 6

Each group has a maximum of 6 people.

15。 The little girl said, "There are 150 students in Class One, Grade Five, and 45 students are nearsighted.

The little boy said, "There are 45 students in Class Five (1), and there are 10 students who are nearsighted.

Question: How do the students in Class Five (1) wear nearsighted eyes compare with the overall situation in Grade Five?

Answer:

The proportion of students in Class 5 (1) wearing myopia glasses is 10/45=2/9.

The fifth grade is 45/ 150=3/ 10.

Therefore, the students in Class 5 (1) wear nearsighted eyes better than the students in Grade 5.

The proportion of wearing glasses is very small.

16. Party A and Party B practice running. If Party A lets Party B run for 4 seconds first, Party A can catch up with Party B after running for 10 second. If A lets B run first 10 meter, A can catch up with B in 6 seconds. What are the network speeds of Party A and Party B respectively?

Answer: b speed x, a speed y

4x= 10*(y-x)

10=6*(y-x)

Draw (a conclusion)

4x/ 10= 10/6

x=25/6

y= 175/ 12

17. A warehouse has 96.5 tons of grain, 36.8 tons were shipped out on the first day and 23.9 tons were brought in the next day. now

How many tons of grain are there in the warehouse?

Answer: 96.5-36.8+23.9=83.6 tons.

18. In a long jump, Xiaoying jumped 3.78 meters, 0.5 meters shorter than the short jump and shorter than the jump distance.

It is 0.39 meters farther than Xiaoming. How many meters did Xiaoming jump?

Answer: 3.78+0.5-0.39=3.89 meters.

19. An 8-meter-long bamboo pole was inserted in the pool, the exposed part was 2.2 meters long, and the submerged part was longer.

0.65 meters, how deep is the pool?

Answer: 8-2.2-0.65 = 5. 15m.

Warehouse A originally stored 36.7 tons of wheat. After 5.3 tons are shipped from warehouse B, they are stored in these two warehouses.

Wheat weighs exactly the same. How many tons of wheat was originally stored in warehouse B?

Answer: 36.7+5.3+5.3=46.3 tons.

2 1. There is a parallelogram glass plate with a bottom of 3.2m and a height of1.5m. What is the area of this glass? If the price per square meter of glass is 25 yuan, how much does it cost to buy this glass?

Answer: 3.2* 1.5=4.8 square meters

4.8*25= 120 yuan

22. Someone delivers goods from A to B, travels 204 meters per hour, arrives at B in 3 hours, and returns in 2 hours. What is the average speed of this person going back and forth per hour?

A: The distance between A and B will not change. The total distance can be calculated by the speed and time of travel. When I come back, there is distance and time. Isn't it speed?

204*3/2=306

23. There are two vegetable plots, with total income 14000 yuan and average income per hectare 1750 yuan. It is known that the income per hectare of the first vegetable field is 2500 yuan, and the income per hectare of the second vegetable field is 1500 yuan. How many hectares are there in each vegetable field?

Answer: Because the ratio of the difference between the income-generating price per hectare of two vegetable fields and the average income-generating price per hectare is equal to the ratio of the area of two vegetable fields.

(2500- 1750)÷( 1750- 1500)=3

14000÷ 1750÷(3+ 1)=2

Therefore, the areas of the two vegetable fields are 2 hectares and 6 hectares respectively.

24. In the past, the distance between two adjacent poles in a row was 45 meters, but now it is 60 meters. If one pole at the starting point does not move, how many meters will the other pole not move?

Answer:180m! Take the least common multiple of 45 and 60.

25. Help me with a question: The school wants to buy 42 sets of desks and chairs. The price of each table is 55.5 yuan, and the price of each chair is 24 yuan. How much did the school spend?

Answer: (55.5+24)*42

26.

There is a batch of apples, each weighing 56 kilograms, which can be packed in 60 baskets. There are only 56 baskets now. How many kilograms are added to each basket?

Answer: 56 (Jin) ×60 (basket) ÷56 (basket) =60 (Jin)

27. A road repair team originally planned to complete a road in 20 days. In fact, it built 45 meters more than originally planned every day, and completed the task five days ahead of schedule. How many meters of roads were planned to be built every day?

Answer: 5 days in advance, that is, 20-5= 15 days.

Repair 45 meters more every day, 15 days, 15×45=675 (meters).

That is, it is scheduled to repair 675 meters in 5 days, and it is scheduled to repair 675 ÷ 5 every day =135 (meters).

28. My sister and sister are running on the circular track. My sister runs 2 12 meters per minute and my sister runs 186 meters per minute. 16 minutes later, my sister caught up with my sister for the first time and asked about the length of the track.

Answer:

The first time my sister catches up with my sister, it means that my sister runs one lap more than her sister, which is the length of the runway, so

That is 212 *16-186 *16 = 416m.

29. There is a water box with a length of 150 cm, a width of 50 cm and a height of 40 cm, which is filled with water. At this time, a rectangular stone with a height of 20 cm was put in, and the water overflowed by 4 liters. How wide is this stone?

Answer: 4L=4000ML.

150 * 50 * 4000 = 300000000 cubic centimeters

30000000/(20*20)=75000 cm

30. A garment is sold at a 30% discount, and the reduced price is less than the original price 153 yuan. What is the original price of this dress?

153/( 1-0.3)=2 18.57

3 1. The distance between Party A and Party B is 480 kilometers. A truck was driving from Party A to Party B, and when it was 1/6, a bus was driving from Party B to Party A. After five hours of meeting, it was learned that the passenger-cargo speed ratio was 7: 9. Q: What is the speed of the bus?

Answer: 480 * 1/6 = 400km.

400/5 = 80km

80 ÷ 7/16 = 35km

32. For a project, Party A works for 6 hours and Party B works for 10 hour. b，a； B ...

The sequence of alternating work, one hour at a time, how many hours does it take to complete?

Answer: It is known that Party A completes the project of 1/6 every hour and Party B completes110.

Then every two hours, Party A and Party B alternately complete1/6+110.

So it takes x hours to complete.

Yes (1/6+110) * x/2 =1.

X=7.5

33. A classroom is 9 meters long, 6 meters wide and 4 meters high. The area of doors, windows and blackboards is 20 meters. Now we must paint the four walls and ceiling of this classroom. How many square meters is the area to be painted?

B.0.5 liter of paint is needed per square meter without loss. If the actual painting has a loss of 1/9, how many liters of paint does a * * * need?

A. How many square meters is the area to be painted?

9 * 4 * 2+9 * 6+4 * 6 * 2 =174m2

174-20 =154m2

B.0.5 liter of paint is needed per square meter without loss. If the actual painting has a loss of 1/9, how many liters of paint does a * * * need?

174*0.5=87 liters

(87* 1/9)+87=97 liters

A swimming pool is 20 meters long, 30 meters wide and 2 meters deep. Reinforce the bottom and walls of the swimming pool with cement. According to experience, it is generally applied twice, the first time is 0.6 kg of cement per square meter, and the second time is 2/3. How many kilograms of cement does a * * * need?

Answer: 20 * 3+2 * 3 * 2+20 * 2 * 2 = 152kg.

152 * 0.6 = 9 1.2kg。

(9 1.2 * 2/3)+9 1.2 = 152kg

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.

36. There are 57 balls in the sports shop. Every three balls are packed in a box. Can they be properly packed?

57#3+ 19 cases

A: I can just finish it.

37. Party A and Party B type a document of 10000 words, with Party A typing 1 15 words per minute and Party B typing 135 words per minute. How many minutes will it take?

10000 # (115+135) = 40 points.

A: It will be completed in 40 minutes.

38. The fifth-grade students planted trees. 13 or 14 has just been finished in each group. 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.

39. Two cars go back to each other from one place. One car has a speed of 3 1 km, and the other car has a speed of 44 km. 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.

40. Two construction teams will * * excavate a tunnel with a length of 1 19 meters, and the two construction teams will construct from both ends respectively. 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.

4 1. 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.

42. Two brothers walked from home to the gymnasium at the same time 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 returns immediately. On the way, he met his brother. How many minutes did he walk?

1300x2 = 2600m 2600#( 180+80)

=2600#260

= 10 point

Answer: At this time, my brother left 10 minutes.

43. On Children's Day, Mr. Wang bought 360 biscuits, 480 sweets and 400 fruits, and made exquisite gift packages for 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.

44. 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.

45. A trapezoidal corn field with an upper bottom of15m, a lower bottom of 24m and a height of18m, with an average of 9 corn plants per square meter. 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.

The number of students in a class is less than 100. When you line up, there are five, four and three students in each row. How many students are there in this class?

5X4X3=60 people 60+ 1=6 1 person

A: There are 6 1 person in this class.

47. Wang Yue has a box of chocolates, and the number of 7, 5 and 3 chocolates at a time is more than 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.

48. There is a rectangular tunnel with a length of 15m and a width of 1.2m in Chenguang Community, which needs to be paved with square bricks. The designer prepared a square brick with a side length of 30cm. 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.

50. 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.

5 1. A batch of steel pipes are piled into a pile, with the bottom layer 10, the top layer 1 less per layer 1, and the top layer 1 layer with 5 steel pipes. 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.

52. My brother and * * * brother have 100 pages of manuscript paper. If my brother gives my brother 20 pages of manuscript paper, they will have the same number of pages. How many pages of manuscript paper do my brother and brother have?

Answer: Suppose my brother has X pieces of manuscript paper and my brother has Y pieces.

Equations [X-Y=20

[X+Y= 100

Calculate X=60 and Y=40.

53. The school bought/kloc-0 computers and 2 computer desks, which cost 6750 yuan. It is understood that the price of each computer is six times that of a computer desk. What is the unit price of each computer and computer desk?

A: X yuan for each computer and Y yuan for each computer desk.

Equations [X+2Y=6750]

[ X=6Y

Calculate X=5063. 1, Y=843.85.

54. Students in Grade Five and Grade Six voluntarily signed up for the activities, and the number of students in Grade Five was 3\5. If there are 20 students in the sixth grade, the number of students in the fifth grade is 65438+ 0/2 of the sixth grade. How many students in grades five and six volunteered to participate in the activities?

Answer: There are X students in grade five and Y students in grade six.

Equations [X=3/5Y

[X= 1/2(Y+20)

Calculate X=60 and Y= 100.

55. A bookshelf, the upper layer has more books than the lower layer 105. After taking 25 books from the upper level and putting them into the lower level, the books from the lower level belong to the upper level. 4.5. How many books are there on the top shelf?

Answer: let the upper book be x and the lower book be y,

X-Y= 105

[X-25]*[4/5]=Y+25

X=300 Y= 195

56. A truck and a bus are walking with their backs to each other at the same time. When the truck travels for five hours and the bus travels for six hours, the distance between the two cars is 568 kilometers. As we all know, trucks are 8 kilometers faster than buses every hour. How many kilometers does this bus travel per hour?

If the bus is X, the truck is X+8.

5(X+8)+6X=568

57. Xin Li was riding a bicycle and Liu Qiang was riding a motorcycle. At the same time, he started from two places 60 kilometers apart and walked in opposite directions. After meeting on the road, move on and turn your back. Six hours after their departure, they were 240 kilometers apart. As we all know, the speed of Xin Li is18km. How many kilometers does Liu Qiang drive every hour?

6( 18+X)=60+240

58. Party A and Party B are 22.5km apart and walk in opposite directions at the speed of 2.5km/h and 5km/h respectively. At the same time, the puppy brought by Party A ran to Party B at a speed of 7.5km/h, and the puppy returned to Party A immediately after meeting Party A, and then ran to Party B ... until Party A and Party B met, seeking the distance the puppy had traveled.

Because the walking time of the puppy = the walking time of both parties.

So the distance of the puppy = the time of the puppy * the speed of the puppy.

= Time of Party A and Party B * Puppy speed

=22.5/(2.5+5)*7.5

=22.5 km

59. An airplane was scheduled to fly to its destination at a speed of 495 kilometers per hour, but due to the urgency of the task, its flight speed was increased to 660 kilometers per hour, resulting in an early arrival of 1 hour. What is the total flight distance?

x/495-x/660= 1

60. Eat a bottle of 0.6 kg soy sauce first, then eat the remaining 3/5, and there is 0.8 kg soy sauce in the bottle. How many kilograms is this bottle of soy sauce?

(X-0 .6)*( 1-3/5)=0。 eight