First grade math questions

Application questions (***50 questions) 1. Wang Ping wants to walk from Village A to Village B. If he walks 4 kilometers per hour, then when he reaches the scheduled time, he will still be 0.5 meters away from Village B. kilometers; if he walks 5 kilometers per hour, he can reach Village B in half an hour less than the scheduled time. How many hours is the scheduled time and how many kilometers is the road from Village A to Village B?

2. (Ancient question) A person's reward for working for a year is to give him a piece of clothing and 10 silver coins, but after he has worked for 7 months, he decides not to continue working. When checking out, give If you give him a piece of clothing and 2 silver coins, how many silver coins is this piece of clothing worth?

3. It is known that 5 A-type machines fill 8 boxes of products a day and 4 boxes are left. 7 B-type machines fill 11 boxes a day and 1 box is left. Each A Type B machine produces 1 more product per day than Type B machine. Find out how many products are in each box.

4. An atmospheric car originally traveled at a speed of 30 kilometers/hour. Now it starts to accelerate evenly. The speed is increased by 20 kilometers/hour per hour; the original driving speed of a car is 90 kilometers/hour. Now it starts to accelerate uniformly and decelerates by 10 kilometers/hour per hour. How long will it take for the speed of the two cars to be equal? What is the speed of this vehicle?

5. The total workload completed by the 4 workers in Group A in March was 20 pieces more than 4 times the per capita quota for this month. The total workload completed by the 5 workers in Group B in March was 20 pieces more than the per capita quota for this month. 6 times the per capita quota is 20 pieces less.

(1) If the actual per capita workload completed by the two groups of workers this month is equal, then what is the per capita quota for this month?

(2) If the actual per capita workload of workers in Group A this month is 2 more than those in Group B, then what is the per capita quota for this month?

(3) If the actual per capita workload of workers in Group A this month is 2 less than that of workers in Group B, then what is the per capita quota for this month?

6. It is known that 5 A-type machines fill 8 boxes of products in a day and 4 boxes are left. 7 B-type machines fill 11 boxes of products in a day and 1 box is left. Each A Type B machine produces one more product per day than Type B machine. How many products are in each box? 7. A large car originally traveled at a speed of 30 km/h, and now it begins to accelerate uniformly, increasing its speed by 20 km/h per hour. A small car originally traveled at a speed of 90 km/h, and now it begins to decelerate evenly. , decelerating by 10 kilometers/hour per hour, how long will it take for the speeds of the two cars to be equal? What is the speed of the car at this time? 8. A certain school allocates dormitories to freshmen. If there are 5 people in each room, 2 people will have no place to live. If there are 6 people in each room, there will be 8 vacancies. How many dormitory students are there in this school? 9. Two people, A and B, set off from A to B at the same time. A rides a bicycle at a speed of 10km/h and B walks at a speed of 6km/h. When A arrives at B, B is still 8km away from B. Question: How long has A been gone? What is the distance between AB and AB? 10. A certain bookstore launched a discount card during a promotional event. Each card cost 20 yuan. You can enjoy a 20% discount when purchasing books with the card. Once, Li Ming went to the bookstore to buy books. When checking out, he bought the discount card first. Paying by card saved 12 yuan. So what is the total value of Li Ming's book purchase? 11. If a slender cylinder with a base diameter of 10 cm and a height of 36 cm is forged into a squat cylinder with a base diameter of 20 cm, what will be the height? 12. A project takes 15 days to complete by A alone, and 12 days for B to complete. Now, after A has done it alone for a period of time, B joins the project, so that the project is completed in only 4 days after B joins. How many days did the project take? A certain city charges monthly gas fees according to the following regulations: if coal consumption does not exceed 60m3, it will be charged at 0.8 yuan per cubic meter. If it exceeds 60m3, the excess will be charged at 1.2 yuan per cubic meter. It is known that a certain user The average gas fee in April is 0.88 yuan per cubic meter. So how much gas fee should this user pay in April? 14.. A pool holds 84 tons of water. There are two water pipes A and B. Pipe A discharges 2.5 tons of water per hour, and pipe B discharges 3.5 tons of water per hour.

If pipe A is opened first, and then pipe B is opened 2 hours and 24 minutes later, how many hours after pipe A is opened can the water in the pool be drained?

15. The correspondent sent a letter from point A to point B, and then immediately returned to point A. It took *** 3 hours and 52 minutes, with a speed of 30 kilometers per hour when going, and a speed of 28 kilometers when returning. / time, find the distance between A and B.

16. A walks 5 kilometers per hour, and B rides to chase A 2 hours after departure.

(1) If B’s speed is 20 kilometers/hour, how long does it take for B to catch up with A?

(2) If B is required to catch up with A when B has walked 14 kilometers, what is B’s speed?

17. A and B practice walking on a 400-meter circular track. B walks 80 meters per minute. A’s speed is 1 and 1/4 of B’s. Now A is 100 meters in front of B. How many minutes will it take for the two to meet for the first time?

1. There is a three-digit number. Its units digit is 3 times smaller than 4 times of the number in the hundreds place. The number in the ones place is 1 larger than 3 times of the number in the hundreds place. If The number in the tens place of this three-digit number is swapped with the number in the hundreds place to get a new number. Then the original three-digit number is 270 less than the new number. Find the original three-digit number.

18. The school has a 4-story teaching building with 6 classrooms on each floor. There are 3 doors to enter and exit the building (two main doors of the same size and a side door). Security inspection At that time, this door was tested; when a main door and a side door were opened at the same time, 400 students could pass through in 2 minutes. If a front door can pass an average of 40 more students per minute than a side door.

(1) Find the average number of students who can pass through one main entrance and one side entrance per minute?

(2) During the inspection, it was found that due to the overcrowding of students during emergencies, the efficiency of going out was reduced by 20%. Safety regulations: In an emergency, all students in the building should pass through these 3 doors within 5 minutes. Evacuate safely. Assuming that each classroom in this teaching building has a maximum of 45 students, ask: Do these three doors comply with safety regulations? Why?

19. A and B travel from city A to city B. A walks 4 kilometers per hour, and B rides a bicycle 8 kilometers per hour. B starts half an hour after A. , two people arrive at city B at the same time, find the distance between cities A and B.

20. Yuren Middle School requires several students to cancel their registration. If there are 4 people living in each dormitory, there will be 20 people left; if there are 8 people living in each dormitory, one dormitory will be full and the other dormitories will be full. Q: How many dormitories does the middle school have? How many students are required to live on campus?

21. A train is running at a constant speed. Xu Guang saw the milestone passing by outside the window, and the monument was marked with two digits. An hour later, Xu Guang saw another milestone. It was also marked with two digits, but the positions of the numbers were exchanged with the two digits he saw for the first time. Another hour later, Xu Guang saw a milestone again. It was marked with a three-digit number. It added a zero between the two digits he saw for the first time. Find the speed of the train.

22. In a certain mathematics competition, 20 questions were all multiple choice. The scoring rules are: 5 points for each correct answer, 2 points for no answer, -1 point for a wrong answer (i.e. 1 point deducted), but the total score on the paper is at least 0 points. A student participated in this competition. How many possible situations will he receive in terms of total scores?

23 Please find three consecutive natural numbers, and the sum of all fractions composed of any two of them (one as the denominator and one as the numerator.) is another natural number.

24. A four-digit number is a perfect square number. After subtracting the same number from each digit, it is still a four-digit perfect square number.

How many four-digit numbers are there?

25. There are only mountain roads and no flat roads from point A to point B. Xiao Wang returns immediately after going from point A to point B. It takes 2 hours to go and 2.5 hours to return. If he goes back and forth, the uphill speed is 5 kilometers per hour, and the downhill speed is 8 kilometers per hour. How many kilometers is the distance from point A to point B?

26. A company deposits money into bank A .B’s two deposits of different nature are worth 200,000 yuan. The annual interest rate of deposit A ??is 1.4 and the annual interest rate of deposit B is 3.7. The company earns interest of 6250 yuan in one year. Find A and B How many thousand yuan are there in the two deposits? (Excluding interest tax) Respondent's Supplement 2011-02-09 18:53 27. A store first increased the original selling price of a certain model of color TV by 40, and then wrote "Big deal, 20% off" in the advertisement. After the customer After the complaint, the law enforcement department imposed a fine of 2,700 yuan per unit based on 10 times the illegal income obtained. Ask for the selling price of each color TV?

28. A passenger in the ordinary cabin of an aircraft can carry up to 20 kilograms of luggage for free, and a luggage ticket will be charged for each kilogram of the excess luggage at 1.5 of the flight fare. A passenger brought 35 kilograms of baggage on board and paid 1,323 yuan for the ticket and baggage fee. What is the passenger's ticket price?

Suppose the air ticket price is Scored 82 points, scored 96 points in the second test, and scored at least the number of points in the third test. In order to make the average score of the three tests not less than 90 points?

30. A set off from A in a certain city on a bicycle. 2 hours later, B walked on the same road for 3 hours. After 3 hours, they were 16km apart. At this time, B continued to chase, and A rested at the same place for 11/ Returning from the original place after 3 hours, and after another 1 hour, A and B are separated from each other at point C. "How far is point C from city A? 32. A certain unit ordered x white shirts and y floral shirts in a store. The price of each white shirt is one and a half times the price of the floral shirts. When the shirts are purchased, I found that the number of pieces of white shirts and floral shirts was exactly the same as the number of pieces I originally wanted to buy. After checking, I found that the order was filled in incorrectly. Use a fraction to express the ratio of the amount of money required according to the original idea to the actual amount payable.

33. There are 199 teachers and students in the first grade of a school who want to rent a car for traveling. If they rent a Class A station wagon that can accommodate 45 passengers, the rental fee is 400 yuan; if they rent a station wagon that can accommodate 32 passengers. Type B station wagons cost 300 yuan each. If you rent two types of cars at the same time, how much is the minimum cost?

34. The starting price of a taxi in a certain city is 10 yuan. Yuan (that is, a fare of 10 Yuan is required for driving distances within 5 kilometers). After reaching or exceeding 5 kilometers, 1.2 will be added for each kilometer traveled (less than 1 kilometer will be counted as 1 kilometer)

).

Now a person takes a bus from point A to point B and pays a fare of 17.2 yuan. What is the approximate distance from point A to point B?

35. The distance between two places is 300KM. If a ship sails between the two places, it takes 15H if it goes with the current and 20H if it goes against the current. What is the speed format of the ship sailing in still water and against the water?

36. There are 10 coins of 10 cents, 50 cents and 1 yuan each. Take 15 coins out of them, with a total value of 7 yuan. How many coins of 10 cents, 50 cents and 1 yuan are taken? 37. There were (5A-4) passengers on a bus. When it arrived at the station, (9-2A) passengers got off the bus. How many passengers were on the bus?

38. The school organizes students to go to a rural social practice 31 kilometers away from the school. They go for 3 hours in the morning and 4 hours in the afternoon. The average speed in the afternoon is 1 kilometer per hour slower than in the morning. What is the average speed in the morning and afternoon?

39. A swimmer went upstream and lost an empty plastic water bottle at point A. When he advanced 50 meters to point B, he found that the water bottle was lost and immediately returned to look for it. He found it at point C. The swimming speed of this person is The speed of the water flow is 1.5 times. How many meters did the kettle swim from when it was lost to when it was found?

40. There are three types of stationery A, B, and C. If you buy 2 pieces of A, 1 piece of B, and 3 pieces of C* **It costs 23 yuan; if you buy 1 piece of A, 4 pieces of B, and 5 pieces of C, it costs 36 yuan. How many yuan does it cost to buy 1 piece of A, 2 pieces of B, and 3 pieces of C?

41. A and B are practicing running on a 400-meter circular track. If they run in the same direction, they will meet every 3 minutes and 2 seconds. If they run opposite, they will meet every 40 seconds. , what is the speed of A and B?

42. A centipede with 40 legs and a dragon with 3 heads are in a cage. *** has 26 heads and 298 legs. A centipede with 40 legs has only one head. How many legs does a dragon with 3 heads have? 43. A batch of ***840 parts. If A starts to work for 4 days and then B joins the cooperation, then it will take another 8 days to complete. If B starts to work for 4 days and A joins the cooperation, then it will take 9 days to complete. What are the two How many do each person do every day?

44. Xiao Ming plays a game with his classmates. It is stipulated that from a certain point, walk forward 20 meters, turn left 30 degrees, walk forward 20 meters, and then turn left 30 degrees until returning to a certain point.

How many meters did Xiao Ming*** walk?

45. 200 students in the first grade of a school took the midterm exam. The average score of the passing students in mathematics was 87 points, and the average score of the failing students was 43 points. The average score of the first grade students was 87 points. The score is 76. How many people passed and failed the exam?

46. A certain engineering team wants to recruit 150 workers of two types, A and B. The monthly wages are 600 yuan and 1,000 yuan respectively. It is now required that the wages of type B workers shall not be less than twice that of type A workers. When asking how much workers A and B can recruit, what is the minimum wage?

47. A shopping mall plans to allocate 90,000 yuan to purchase 50 TV sets from a manufacturer. It is known that the factory prices of three different types of TV sets produced by the manufacturer are 1,500 yuan each for type A and 1,500 yuan each for type B. 2,100 yuan for each TV set, and 2,500 yuan for type C.

(1) If the mall purchases up to 50 TV sets of two different models at the same time, spending 90,000 yuan, please study the purchase plan.

(2) If the shopping mall sells a TV set A and earns a profit of 150 yuan, B 200 yuan, and C 250 yuan, in the plan in (1), what is the highest profit? 48. Known as the urban area The cross-lake section of Hangzhou East Road in the scenic line is 1,857 meters long. Its various greening indicators are shown in the table below. Analyze the table below and answer the following questions:

Number of main tree species

Cinnamomum camphora 336

Willow tree 188

Palm 258

Osmanthus tree 50

Total 832

All known Hangzhou East Road It is 4744 meters long. If the distance between the rows of trees (the horizontal distance between two trees) remains unchanged, please estimate the number of camphor and palm trees planted along the entire line (keep the result in an integer)

49. Someone used a certain amount of RMB to buy a one-year bond with an annual interest rate of 10. After maturity, he took out half of the principal and used it for shopping, and the remaining half and the interest earned all purchased this one-year bond. (interest remains unchanged), after maturity, the principal and interest plus 1,320 yuan will be obtained. How much did this person spend to purchase this bond?

50. There are 20 in the mathematics competition for first-year students in a certain school. Each question is worth 5 points for each correct answer, and 1 point is deducted for each wrong answer or no answer. How many questions do you need to answer correctly to get 70 points? /information17/89675.htm Download it yourself from this website, there are many in it Calculation questions