1. Application problems of primary school students' Olympic mathematics reduction problems
1 and there is water in three containers. If 1/3 of water in container A is poured into container B, then 1/4 in container B is poured into container C, and finally110 in container C is poured into container A, so the water in each container is 9 liters. How many liters of water are there in each container? At the end of last year, Party A, Party B and Party C got different bonuses. If Party A distributes part of its bonus to Party B and Party C, the bonus amount of Party B and Party C will be doubled. Then b takes out a part of the bonus and gives it to a and c, so that the bonus amount of a and c is doubled; Finally, C also gave a part of the bonus to Party A and Party B, so that the bonuses of Party A and Party B were doubled, so that the bonuses of all three people were 96 yuan. What should be the original bonus of Party A?
A boy paid a dime to enter a shop. He spent half of the money left in the shop and paid another dime when he left the shop. Later, he paid another dime to enter the second store, where he spent half of the remaining money and paid another dime when he left the store. Then he went in and out of the third and fourth stores in the same way. When he left the fourth shop, he had only a dime left. How much money did he have before he entered the first store?
4. Parts in three piles, A, B and C, are taken out of pile A for the first time and put into pile B and pile C, respectively, with 1/3 added, and taken out of pile B for the second time, with 1/3 added respectively. The third time, I got A and B from the third pile, and also added A and B 1/3 respectively, so that all three piles of parts were 320. How many original parts are there in Stack A?
The two brothers each have a few dollars. After my brother gave 1/5 to my brother, my brother gave 1/4 to my brother. At this point, each of them has 180 yuan. How much money does my brother have? How much money does my brother have?
2. The application of primary school students' Olympic mathematics recovery problems.
24 kilograms of water is divided into three bottles. For the first time, part of the water in bottle A was poured into bottles B and C, which increased the water in bottles B and C by 1 times. Part of the water in bottle B was poured into bottle A and bottle C for the second time, which also increased the water in bottle A and bottle C by 1 times compared with the existing water in the bottle. For the third time, part of the water in bottle C was poured into bottles A and B, which increased the water in bottles A and B by 1 times compared with the existing water in bottles. I poured it three times, and all three bottles of water were the same. How many kilograms of water did each of these three bottles initially contain?
Analysis: We can do this problem by reverse calculation. According to the meaning of the question, there are 24 ÷ 3 = 8kg of water in the three bottles A, B and C after the last pouring. It can be inferred from the meaning of the question that the water in the three bottles A, B and C after the second pouring is 8÷2=4 and 8÷2=4 respectively.
Answer: Solution: After pouring water for the last time, there are three bottles of A, B and C: 24÷3=8 (kg) each.
After the second pouring, the water in bottles A, B and C is 8÷2=4 (kg) respectively.
8÷2=4 (kg),
8×2= 16 (kg),
After the first pouring, the water in bottles A, B and C is 4÷2=2 (kg) respectively.
4+8+2= 14 (kg),
4×2=8 (kg),
At first, the water in bottles A, B and C was 2+4+7= 13 (kg).
14÷2=7 (kg),
8÷2=4 (kg),
Answer: A bottle is original 13kg water, B bottle is original 7kg water, and C bottle is original 4kg water.
3. The application of primary school students' Olympic mathematics recovery problems
1. There are a bunch of peaches. The first monkey took half a peach and half a peach, the second monkey took the remaining peaches and half a peach, and the third monkey took the last remaining peaches and half a peach. Peaches have just been taken away. Q: How many peaches are there in this pile? 2. There are a bunch of peaches. The first monkey took half of the peaches, the second monkey took the remaining half, and the third monkey took the remaining half. Peaches have just been taken away. Q: How many peaches are there in this pile?
There are some balls in the bag. Xiaoming took out half and put it back. A * * * did this five times, and there were three balls in the bag. Q: How many balls were there in the original bag?
There is a greedy person who always wants to double his money. One day, he met an old man on the bridge. The old man said to him, "As long as you cross the bridge and come back, your money will double, but as a reward, you will give me 32 copper coins every time you go back and forth." The money-obsessed man had the final say, and it was quite cost-effective, so he agreed. He crossed the bridge and came back. His money really doubled. He happily gave the old man 32 copper coins. On the fifth round trip, the last 32 coins were given to the old man, and none were left. Q: How many coppers does a man who is addicted to money have on him?
5. There are a bunch of chess pieces (the number of chess pieces is greater than 1). After quartering, one piece is left, three pieces are left, and three pieces are left. Q: How many pieces are there at least?
4. The application of primary school students' Olympic mathematics recovery problems.
1, Group A, Group B and Group C have 90 books. If Group B borrows 3 books from Group A and sends 5 books to Group C, the books in the three groups are just equal. How many original books are there in groups A, B and C? There are two piles of balls, A and B, and each pile has several balls. Move the balls according to the following requirements: first, take as many balls as those in pile A and put them in pile B; Then take out as many balls from pile B as pile A at this time and put them in pile A. At this time, the balls in piles A and B are exactly 16. Q: How many balls were there at the beginning of pile A and pile B?
3. There is a number. Divide by 5, multiply by 4, subtract 15, and add 35 to 100. What is the number?
4. Party A, Party B and Party C total 65,438+068 yuan. For the first time, Party A gives Party B the same amount; The second time, B gave C as much money as C; The third time, C gave A as much money as A did at this time. At this time, A, B and C have exactly the same amount of money. How much is A more than B?
5. There are three numbers A, B and C. Take out 15 from A and add it to B, 18 from B and 12 from C and add it to A. At this time, all three numbers are 180. What are the original numbers of a, b and c?
5. The application of primary school students' Olympic mathematics recovery problems.
1, Squadron A, Squadron B and Squadron C have 498 books. If Squadron A gives Squadron B four books and Squadron B gives Squadron C 10 books, then the number of books of the three squadrons is equal. How many books does Squadron A have? 2. Xiaohu does a subtraction problem, and writes the six mistakes in the tenth place of the minuend as 9, the nine mistakes in the ninth place of the decimal as 6, and the final difference is 577. What is the correct answer to this question?
Students play the game of throwing sandbags. There are 140 sandbags in Class A and Class B. If Class A gives Class B five sandbags first and Class B gives Class A eight sandbags, then the number of sandbags in the two classes is equal. How many sandbags are there in two classes?
4. When a student does an addition problem, he regards 5 in the unit as 9 and 8 in one tenth as 3, and the result is 123. What is the correct answer?
5. When calculating the addition of two numbers, Xiaowen mistook 1 on one plus several digits as 7, and the other plus 8 on dozens of digits as 3, and the sum obtained was 1946. What is the correct answer to the original addition of two numbers?