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Mathematical problems in primary school life
Question:

35. Party A and Party B each have several RMB yuan, of which Party A accounts for 60%. If Party B gives Party A 12 yuan, the remaining money of Party B is equivalent to Party A's 1/3. How much RMB do Party A and Party B have respectively?

36. Party A and Party B each have several RMB yuan, and Party B is 2/3 of Party A. If Party B gives Party A 12 yuan and Party B is equivalent to 1/3 of Party A, how many RMB yuan does Party A and Party B each have * *?

37. Four students planted 60 trees. The first student planted half of other students, the second student planted 65438+ 0/3 of other students, and the third student planted 65438+ 0/4 of other students. How many trees did the fourth student plant?

38. Both parties go from Dongzhen to Xizhen at the same time. When Party A walked 2/5 of the whole journey, Party B only walked 9.6 kilometers. When Party A arrives in Xizhen, Party B still has 3/ 1 1 to start from Xizhen, so as to find the distance between the two towns.

39. The number of students in Class A of Grade One is equal to 1. 125 times that of Class B. The students in Class A are all Young Pioneers, and the students in Class B 10 have not joined the team yet. It is known that the number of players in Class A is 1.5 times that of Class B. How many players are there in each class?

40. Class A, Class B, Class C 138 students in Grade Five. There were four more students in Class A than in Class B in the last term. At the beginning of this semester, the number of students should be adjusted and the classes should be rearranged. Two-fifths of the students in Class C should be placed in Class A and three-fifths in Class B, so that Class B has four more students than Class A, and the number of students in each class before the class is compiled.

4 1. Young pioneers in Class A, Grade One, account for 3/5 of the class, less than Class B 13. It is known that Class A has 9 more than Class B. How many are there in each class?

42. There are many students in a school. There are 144 boys over13 of the total number of students in the school, and 40 girls are less than 3/5 of the total number of students in the school.

43. A batch of tomatoes were harvested in the field. In the morning, 1/3 were all packed, only three baskets. In the afternoon, after putting the rest in five baskets, there were 25 kilograms left. How many kilograms are these tomatoes?

44. Guanghua Machinery Factory produced a batch of parts in two days and packed them in the same boxes. On the first day, 3/7 of the total was filled with 3 boxes, leaving 120. The next day, the produced parts were just packed in 6 boxes. How many parts are there in this batch?

45. Five consecutive natural numbers, the third of which is that 2 is less than 5/9 of the sum of one or two numbers. What is the third number?

46. Among five consecutive natural numbers, the smallest natural number is equal to 1/6 of the sum of these five numbers. What is the sum of these five numbers?

47. Grade 6 students in a school 152 students. We selected111boys and 5 girls to take part in the math contest. The remaining boys and girls are equal in number. How many boys and girls are there in the sixth grade?

48. A factory selected11and 12 female workers from male workers to participate in the tug-of-war competition. There are twice as many male workers as female workers. It is understood that this factory has 476 employees. How many male and female workers are there respectively?

49. The speed of a car from A to B is 80 kilometers per hour, and the return time is reduced by 20%. How many kilometers per hour did it return?

50. Wang Fang and Li Hua donated 252 yuan in the activity of "Giving Love to Project Hope". If Li Hua's donation is further increased by 1/3, then the donation ratio of Wang Fang and Li Hua is 3: 2. How much did Wang Fang and Li Hua each donate?

5 1, the master and the apprentice process the same machine parts, and the number processed by the apprentice 12 is 40 less than that processed by the master 10. The daily workload ratio of master and apprentice is 13: 10. How much does master handle every day?

52. Both the master and the apprentice produce one kind of parts, and the master produces 10 parts per hour more than the apprentice. The master gave birth for 7 hours, and the apprentice gave birth for 4 hours, just finishing the task. When completing the task, the number of parts produced by the apprentice is 20/2 1 of that of the master. How many parts do mentoring produce?

53. A car travels from city A to city B at a speed of 80 kilometers per hour. When returning, drive 3/4 of the whole journey at the original speed, 10 km, and the rest drive 60 km per hour. So it takes 10 minutes to return to a city. How many kilometers is it between a and b cities?

54. A and B travel from A to B at the same time. Party A travels at a speed of 80km/h by car and 72km/h by motorcycle. As a result, Party A arrived 65,438+05 minutes earlier than the scheduled time, and Party B was 65,438+00 minutes late. What's the distance between a and b?

55. Party A and Party B * * * deposit 195 yuan, Party A withdraws its own deposit 1/5, and Party B withdraws 15 yuan. The remaining deposits are equal. How much did Party A and Party B originally save?

Answer:

35. Party A and Party B each have several RMB yuan, of which Party A accounts for 60%. If Party B gives Party A 12 yuan, the remaining money of Party B is equivalent to Party A's 1/3. How much RMB do Party A and Party B have respectively?

Basis: If Party B gives Party A 12 yuan, the remaining money of Party B is equivalent to Party A's 1/3.

It can be concluded that B's money accounts for 1/4 of their total money, and A's money accounts for 3/4 of their total money.

12 ÷ (3/4-60%) = 80 yuan

36. Party A and Party B each have several RMB yuan, and Party B is 2/3 of Party A. If Party B gives Party A 12 yuan and Party B is equivalent to 1/3 of Party A, how many RMB yuan does Party A and Party B each have * *?

According to: b is 2/3 of a.

It is concluded that B accounts for 2/5 of their total money.

Basis: B is equivalent to 1/3 of A.

It is concluded that B's money accounts for 1/4 of the sum of the two people's money.

12 ÷ (2/5- 1/4) = 80 yuan

37. Four students planted 60 trees. The first student planted half of other students, the second student planted 65438+ 0/3 of other students, and the third student planted 65438+ 0/4 of other students. How many trees did the fourth student plant?

According to: The first student planted half as much as the other students.

It is concluded that the first student planted 1/3 of the total number of four students.

According to: the second student planted 1/3 other students' species.

It is concluded that the second student is 1/4 of the total number of four students.

According to: The third student planted 1/4 from other students.

It is concluded that the third student is 1/5 of the total number of four students.

60 * (1-1/3-1/4-1/5) =13 trees

38. Both parties go from Dongzhen to Xizhen at the same time. When Party A walked 2/5 of the whole journey, Party B only walked 9.6 kilometers. When Party A arrives in Xizhen, Party B still has 3/ 1 1 to start from Xizhen, so as to find the distance between the two towns.

According to: A to Xizhen, B to Xizhen or 3/ 1 1.

The speed ratio of A and B is 1 1:8.

9.6 \u 8 * 1 1 \u 2/5 = 33km

39. The number of students in Class A of Grade One is equal to 1. 125 times that of Class B. The students in Class A are all Young Pioneers, and the students in Class B 10 have not joined the team yet. It is known that the number of players in Class A is 1.5 times that of Class B. How many players are there in each class?

According to: the number of students in Class A of Grade One is equal to 1. 1.25 times that of Class B.

It is concluded that the number of students in class B is 8/9 of that in class A;

According to: The number of team members in Class A is 1.5 times that of team members in Class B..

Draw a conclusion: the number of class B is 2/3 of that of class A. ..

10 ÷ (8/9-2/3) = Class A, 45 people.

45 * 8/9 = 40 people, class B.

40. Class A, Class B, Class C 138 students in Grade Five. There were four more students in Class A than in Class B in the last term. At the beginning of this semester, the number of students should be adjusted and the classes should be rearranged. Two-fifths of the students in Class C should be placed in Class A and three-fifths in Class B, so that Class B has four more students than Class A, and the number of students in each class before the class is compiled.

(4+4) ÷ (3/5-2/5) = Class C, 40 people.

(138-40+4) ÷ 2 = 51class a.

51-4 = 47 people in class B.

4 1. Young pioneers in Class A, Grade One, account for 3/5 of the class, less than Class B 13. It is known that Class A has 9 more than Class B. How many are there in each class?

9 * 3/5 = 27/5 people

(13+27/5) ÷ (1-3/5) = 46 people in class B.

46+9 = Class A has 55 students.

42. There are many students in a school. There are 144 boys over13 of the total number of students in the school, and 40 girls are less than 3/5 of the total number of students in the school.

(144-40) ÷ (1-1/3-3/5) =1560 people.

43. A batch of tomatoes were harvested in the field. In the morning, 1/3 were all packed, only three baskets. In the afternoon, after putting the rest in five baskets, there were 25 kilograms left. How many kilograms are these tomatoes?

25÷ (1-1/3-1/3÷ 3 * 5) = 225 kg.

44. Guanghua Machinery Factory produced a batch of parts in two days and packed them in the same boxes. On the first day, 3/7 of the total was filled with 3 boxes, leaving 120. The next day, the produced parts were just packed in 6 boxes. How many parts are there in this batch?

A fraction of the total number of each container: (1-3/7) ÷ 6 = 2/2 1

Total:120 ÷ (3/7-2/21* 3) = 840.

45. Five consecutive natural numbers, the third of which is that 2 is less than 5/9 of the sum of one or two numbers. What is the third number?

The key to this problem is that the third number = half of the sum of the first two numbers+1.5 (draw your own picture and think about it)

Sum of the first two numbers: (1.5+2) ÷ (5/9-1/2) = 63.

The second number: (63+ 1) ÷ 2 = 32

The third number = 32+ 1 = 33

46. Among five consecutive natural numbers, the smallest natural number is equal to 1/6 of the sum of these five numbers. What is the sum of these five numbers?

Key: Intermediate number = 65438+ 0/5 of the sum of five numbers = 65438+0/6+2 of the sum of five numbers.

2÷( 1/5- 1/6)=60

47. Grade 6 students in a school 152 students. We selected111boys and 5 girls to take part in the math contest. The remaining boys and girls are equal in number. How many boys and girls are there in the sixth grade?

Number of boys: (152-5) ÷ (1+1-11) = 77.

Number of girls: 152-77 = 75.

48. A factory selected11and 12 female workers from male workers to participate in the tug-of-war competition. There are twice as many male workers as female workers. It is understood that this factory has 476 employees. How many male and female workers are there respectively?

What is the percentage of the remaining female workers in the total number of male employees: (1-11) ÷ 2 = 5/11.

Number of male employees = (476-12) ÷ (1+5/1) = 319.

Number of female workers = 476-3 19 = 157.

49. The speed of a car from A to B is 80 kilometers per hour, and the return time is reduced by 20%. How many kilometers per hour did it return?

1÷ [1/80 * (1-20%)] =100km.

50. Wang Fang and Li Hua donated 252 yuan in the activity of "Giving Love to Project Hope". If Li Hua's donation is further increased by 1/3, then the donation ratio of Wang Fang and Li Hua is 3: 2. How much did Wang Fang and Li Hua each donate?

2÷( 1+ 1/3)=3/2

3:3/2=2: 1

Li Hua = 252 ÷ (2+ 1) = 84

Wang Fang = 84 * 2 = 168 yuan

5 1, the master and the apprentice process the same machine parts, and the number processed by the apprentice 12 is 40 less than that processed by the master 10. The daily workload ratio of master and apprentice is 13: 10. How much does master handle every day?

40÷ ( 13 * 10- 10 * 12) = 4.

Number of parts processed by master every day = 13 * 4 = 52.

52. Both the master and the apprentice produce one kind of parts, and the master produces 10 parts per hour more than the apprentice. The master gave birth for 7 hours, and the apprentice gave birth for 4 hours, just finishing the task. When completing the task, the number of parts produced by the apprentice is 20/2 1 of that of the master. How many parts do mentoring produce?

Wrong topic! ! ! !

53. A car travels from city A to city B at a speed of 80 kilometers per hour. When returning, drive 3/4 of the whole journey at the original speed, 10 km, and the rest drive 60 km per hour. So it takes 10 minutes to return to a city. How many kilometers is it between a and b cities?

The speed ratio of other lines to the original speed ratio = 60: 80 = 3: 4.

The ratio of the time spent on the rest of the line to the time spent on the original speed = 4: 3.

Time taken to drive other vehicles at original speed = 10 ÷ (4-3) * 3 = 30 minutes = 1/2 hours.

Whole journey = (80 *1/2+10) ÷ (1-3/4) = 200 kilometers.

54. A and B travel from A to B at the same time. Party A travels at a speed of 80km/h by car and 72km/h by motorcycle. As a result, Party A arrived 65,438+05 minutes earlier than the scheduled time, and Party B was 65,438+00 minutes late. What's the distance between a and b?

The speed ratio of Party A and Party B is 80: 72 = 10: 9.

Time ratio of Party A and Party B = 9: 10.

A time = (15+12) ÷ (10-9) * 9 = 243 minutes = 8 1/20 hours.

Distance = 80 * 8 1/20 = 324km.

55. Party A and Party B * * * deposit 195 yuan, Party A withdraws its own deposit 1/5, and Party B withdraws 15 yuan. The remaining deposits are equal. How much did Party A and Party B originally save?

Same as question 47:

A = (195-15) ÷ (1+1-kloc-0//5) =100 yuan.

B = 195- 100 = 95 yuan.

That's all, I hope you are satisfied ~