The spider has 8 legs, the dragonfly has 6 legs and 2 pairs of wings, and the cicada has 6 legs and 1 pair of wings. Now there are 18 of these three kinds of bugs, with 118 legs and 20 pairs of wings. How many of each kind of bug are there?

It is known that there are 50 people in the class doing 5 questions. 4 people got the first question wrong, 6 people got the second question wrong, 9 people got the third question wrong, and the 4th question got it wrong. 21 people got the question wrong, and 38 people got the fifth question wrong.

1. People's Liberation Army soldiers cultivated a parallelogram-shaped vegetable field. Its base is 24 meters and its height is 16 meters. What is the area of ??this land?

2. A trapezoidal wheat experimental field has an upper base of 86 meters, a lower base of 134 meters, and a height of 60 meters. What is its area in square meters? How many hectares total?

3. A piece of triangular land has a base of 358 meters and a height of 160 meters. What is the area of ??this land in square meters? How many hectares total?

2. Summary application questions

1. The People's Liberation Army Transportation Company transports a batch of coal. If each truck carries 4.5 tons, 16 vehicles will be needed to transport it at one time. If each truck carries 6 tons, how many trucks are needed to transport it at one time?

2. When students place flowers, each person places 9 pots, which requires 36 people. If 18 people are required to place flowers, how many pots does each person need to place?

Three-step calculation problems

Taiyangou Primary School held a mathematics knowledge competition. There were 60 participants from the third grade and 45 participants from the fourth grade. The number of participants from the fifth grade was twice that of the fourth grade. How many people from three grades will participate in the competition?

4. Encounter application questions

1. Zhang Ming and Li Hong set off from two places at the same time and walked toward each other. Zhang Ming walked 50 meters every minute and Li Hong walked 40 meters every minute. After 12 minutes, they met. How many meters apart are they?

2. Places A and B are 255 kilometers apart, and two cars drive from both places at the same time. Car A travels 48 kilometers per hour, and car B travels 37 kilometers per hour. How many hours later will the two cars meet?

5. Problems of solving simple equations

1. Xiangqun Stationery Factory can produce 250 stationery boxes per hour. How many hours can it take to produce 10,000 pieces?

2. The factory transported a batch of coal and burned 28 tons, leaving 13 tons. How many tons are in this batch of coal? (Answer in two ways)

6. Word questions related to the calculation of cuboids, cubes, surface area, and volume (volume)

1. A rectangular iron box, 18 cm long, 15cm wide and 12cm high. How many square centimeters of iron sheet should be used to make this iron box?

2. The edge length of a cube is 15 cm. What are its surface area and volume?

1. Two trains depart from A and B at the same time and meet at a distance of 48 kilometers from the midpoint 4 hours later. It is known that the slow train is five-sevenths of the speed of the fast train. What are the speeds of the fast train and the slow train? How many kilometers are there between places A and B?

2. A batch of parts can be completed in 12 days by cooperation between A and B. After they worked together for a few days, B asked for leave due to business reasons. At this time, B only completed three-tenths of the total task. A continued, and it took 14 days from start to completion. I would like to ask: How many days did A work alone?

3. To build a section of highway, it was originally planned to be completed by 120 people in 50 days. After one month of work (calculated as 30 days), 20 people were transferred to rush to repair other sections of the road. How many more days will it take the remaining people to complete the task than originally planned?

1. The big clock at the train station strikes several times at each o'clock, such as once at 1 o'clock, twice at 2 o'clock, and once at half o'clock.

How many times does this big clock strike throughout the day and night?

4{$}.l g，z Wamp；[ _ m0 lover Boshu amp；k R c D8_

2. Two cars drive from point A to point B at the same time. The small car travels 12 kilometers per hour more than the big car. The small car reaches point B in 4.5 hours. It returns along the original road and meets the big car when it is 31.5 kilometers away from point B. We met and asked how many kilometers per hour the car travels? Enthusiast Bo Shu I K9DB t c

j'y/n9D c f \F` p j03. A pool can be filled with pipe A alone in 40 minutes, and pipe B alone can be filled with water in 1 hour. If both tubes are opened at the same time, how long will it take to fill 3/4 of the entire pool? Fan Bo Shu: { w"Z2s0d3Qamp; R w'W8P5f

Fan Bo Shu a6ZV z ` R

4. Use a car with the same load capacity to transport a batch of wheat and load it. 5/6 of the total is left after 5 trucks are filled, and 110 tons are left after 10 trucks are filled. How many tons of wheat are there in this batch?

5. A camping event was held. During lunch, the squad leader Go to the teacher in charge of logistics to get the bowl. The teacher asked: "How many people are you?" "36 per person." The monitor replied. 爱博书4Y"k l5y"[#E

The teacher said: "You come and get it yourself. Each person has a rice bowl, two people have a vegetable bowl, and three people have a soup bowl." This stumped the monitor. Can you help him?

6. There are 20 baskets of oranges, each basket weighs 27 kilograms. If each basket contains 1/9 more, how many kilograms is each basket? How many baskets can it hold?

7. A train It takes 64 seconds to completely cross a 572-meter-long bridge, and it only takes 20 seconds for a train to pass a tree on the side of the road. How long is the train?

8. A person travels at a speed of 12 kilometers/hour. From A to B, from B to C at a speed of 9 km/h, G, *** takes 55 minutes. From C to B back at a speed of 8 km/h, from A to C at a speed of 4 km/h. The speed is from B to A, and it takes 1.5 hours to return to work. Find the distance between A and C.

A certain engineering team built a quarter of the road in the first week and the second week. Two-sevenths of this section of road will be built 2 kilometers more than in the first week.

10. The distance between A and B is 240 kilometers. The speed of A to B is 36 km/h, and the speed of a motorcycle from B to A is 24 km/h. 2.5 hours after the motorcycle left from B, the car also left from A. How many hours after the car drove out did it encounter a motorcycle?

11. In order to meet the increase in water consumption, Kunming City has recently built three water plants, A, B, and C. The daily water supply of these three water plants is** *Total 118,000 cubic meters, of which the daily supply of water plant B is three times that of water plant A, and the daily supply of water plant C is 10,000 cubic meters more than half of the daily water supply of water plant A. Find these three What are the daily water supply volumes of the water plant?

12. A football ticket is 15 yuan. After the price reduction, the number of spectators increased by half and the income increased by one-fifth. How much did the ticket price decrease? ?

13. A car travels from point A to point B within a scheduled time. If it travels 12 kilometers per hour faster than the original limit, it will arrive 39 minutes earlier. If it travels slower than the original limit per hour, 8 kilometers, then they will arrive 39 minutes late. Find the distance between A and B.

14. A and B start from A and B at the same time, walking towards each other, and are 6 kilometers away from B. After meeting, they continued to move in the original direction. When they separated from place B and point A, they immediately returned and met again 4 kilometers away from point A. How many kilometers are there between places A and B?

"

． A piece of work takes 20 days for Team A to complete alone, and 12 days for Team B to complete alone. This work was first done by A for a number of days, and then continued by B. It took *** 14 days from start to finish. sky.

Question: How many days did A and B each work?

16. There are three kinds of poultry in the farm: chickens, ducks and geese, ***3200. If 1/3 of the chickens, 1/4 of the ducks and 1/5 of the geese are sold, there will be 2400 poultry left. If 1/5 of the chickens and 1 duck are sold, /4, 1/3 of the geese, then there are 2320 poultry left. How many ducks are there in the farm?

6. A question: A and B are walking around the city. It takes A 3 hours to go around the city. Now they set off from the same place at the same time. It takes B 4 hours to reach the original starting point after meeting A. Find the time it takes for B to go around the city. time.

18． It is known that a certain iron bridge is 1000 meters long. A train is passing through the bridge. It is measured that it takes one minute from the beginning of the train to get on the bridge to completely passing through the bridge. The time for the entire train to be completely on the bridge is 40 seconds. Find The length and speed of the train.

19． There was a woman washing dishes by the river. When others saw her, she asked why she used so many bowls. She replied that there were many guests at home, and every two of them shared a vegetable bowl, and every three people shared a soup bowl. Every four people shared one rice bowl, and *** used 65 bowls. How many guests came to her house?

20. Xiao Ming has a pack of biscuits. Count 4, count 5, and count 6. Each one has one more. How many biscuits are there in Xiao Ming’s pack?

1. A and B are 460,000 kilometers apart. m, 2 hours after train A leaves from place A, train B leaves from place B, and meets train A after 4 hours. It is known that train A travels 10 kilometers more per hour than train B. What is the average hourly speed of train A? How many kilometers?

2. Two cars drive towards each other from places A and B at the same time. Two hours later, the two cars are still 200 kilometers apart. If the distance between places A and B is 400 kilometers, how much further will the two cars have to travel? Can we meet again after hours?

3. From City A to City B, the express train takes 3 hours to arrive, and the local train takes 5 hours to arrive. If the local train travels 45 kilometers per hour, how many kilometers per hour does the express train travel more than the slow train? ?

4. To drive from point A to point B, the express train will take 12 hours to arrive, and the slow train will take 20 hours to arrive. If two cars leave from both places at the same time, the express train will take 20 hours to arrive. After traveling 50 kilometers, how long will it take for the two cars to meet?

5. Xiaohong, Xiaodong and Xiaoming are walking towards each other from A to B. Xiao Hong is traveling from A to B at a speed of 70 meters per minute and Xiaodong is traveling from A to B at a speed of 80 meters per minute. Traveling from place B to place A, Xiao Ming is traveling from place B to place A at the same time at a speed of 90 meters per minute. Xiao Ming meets Xiao Hong 2 minutes after meeting Xiaodong. I would like to ask: How many meters are there between places A and B?

A and B are 8 kilometers apart. If they start at the same time and go in the same direction, A can catch up with B in 4 hours; if they go in the opposite direction, they will meet in 1 hour. What is the average speed of each of them?

There is a class of students watching a movie in an open-air venue. The students are arranged to sit on benches. If 4 people sit on the same bench, there are still 5 people without seats. If 5 people sit on the same bench, Then 5 more people can sit. Find the number of students in this class and how many benches there are.

A city has a current population of 420,000. It is planned that the urban population will increase by 0.8 and the rural population will increase by 1.1 in one year. In this way, the city's population will increase by 1. Find the current urban population and rural population of this city.

The Xiaohong family had a balance of 5,000 yuan last year. It is estimated that it will have a balance of 9,500 yuan this year. Moreover, this year's income is 15 yuan higher than last year, and expenditures are 10 yuan lower than last year. Find out how many yuan this year's income and expenses are.

To prepare 15 kilograms of brine with a concentration of 60, how many kilograms of each of the brine with a concentration of 70 and the brine with a concentration of 55 should be taken?

A certain farm harvested 5,730 kilograms of wheat from two fields last year. After improving the land this year, the income from the first field increased by 10, and the income from the second field increased by 8. As a result, the harvest of wheat this year was 6,240 kilograms. Question: How many kilograms did each of the two fields collect last year?

A company deposits ***200,000 yuan in bank A and bank B with two different interest rates and deposits. The annual interest rate of type A deposit is 1.4, and the annual interest rate of type B deposit is 3.7. The company has one year ***The interest is 6250 yuan. How much is the deposit of A and B?

Two workshops A and B planned to process 360 parts in October. As a result, workshop A exceeded the quota by 12, and workshop B exceeded the quota by 10. The two workshops processed 400 pieces. Ask the two workshops in October. How many parts were processed each?

The total output value of a steel plant last year was 6 million yuan more than the total expenditure. This year's total output value increased by 30% compared with last year's total output value, but the total expenditure saved 20% compared with last year. Therefore, this year's total output value is 30% higher than last year's total output value. The expenditure is 10 million yuan more. What is the total output value and total expenditure last year?

Mix sugar water with a concentration of 30 and sugar water with a concentration of 60 to make 30 kilograms of sugar water with a concentration of 50. Ask two questions How many different concentrations of sugar water were used?

A and B are 60 kilometers apart. A ship travels between A and B. It takes 4 hours to sail downstream and 5 hours to sail against the current. Find the speed and current of the ship in still water. speed.

A said to B: When I was as old as you are now, you were 5 years old. When you were as old as me, the sum of my and your ages was 70 years old. Ask A and B how old are each this year?

The sum of the number in the tens place and the number in the ones place of a two-digit number is 7. If 45 is added to this two-digit number, then the sum of the number in the ones place and the number in the tens place happens to be Find the two-digit number formed by transposing the numbers.

A factory produces a product. If 15 people make it by hand and 2 machines make it, 435 products can be made in one day. If 9 people make it by hand and 5 machines make it, 717 products can be made in one day. Please tell me. How many pieces does each person make by hand per day, and how many pieces does each machine make per day?

When the equation x=1, 2, and -3, the values ??of y are 0, 3, and 28 respectively. Find the value of y when x=-1.

A and B are running a race. If A lets B run 12 meters first, A can catch up with B by running for 6 seconds; if B runs 2.5 seconds ahead of A, then A can catch up with B by running for 5 seconds. , what is the speed of A and B?

There are 66 workers, each of whom can process 15 Type A parts or 12 Type B parts per day. How many people should be arranged to process parts A and B so that 3 parts A and 2 parts B can be matched?

A and B each keep a number of books. If A gives B 10 books, then B has 5 times more books than A. If B gives A 10 books, then A and B have 10 books. If the numbers are equal, then how many books does A and B each have?

A person takes a boat from point A to point B, and then upstream to point C. It takes 4 hours. It is known that the speed of the boat in still water is 7.5 kilometers/hour, and the speed of the water is 2.5 kilometers/hour, if A and C are 10 kilometers apart, find how many kilometers are A and B apart.