Current location - Training Enrollment Network - Mathematics courses - Similar problems in xiaoshengchu mathematics
Similar problems in xiaoshengchu mathematics
1. Fill a bottle of water, pour out the total water of 1/2, then pour in the same amount of alcohol, pour out the total solution of 1/3, then fill it with alcohol, then pour out the total solution of 1/4, and then fill it with alcohol, so alcohol accounts for _ _ _ of the total solution.

There are three piles of matches, ***48. Now take out matches with the same number as the second pile from the first pile and merge them into the second pile, and then take out matches with the same number as the third pile from the second pile and merge them into the third pile. Finally, take out the matches with the same number as the first pile from the third pile and merge them into the first pile. After this change, the matching numbers of the three piles are exactly the same. It turns out that the first pile, the second pile and the third pile have _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

3. There are _ _ _ _ _ _ _ triangles whose three sides are integers, and the longest side is 1 1.

There are 1 cent, 2/cent and 5/cent coins in the wallet. Party A takes out 3 coins from the wallet, and Party B takes out 2 coins from the wallet. Out of the five coins, there are only two denominations, and the sum of the three denominations taken out by A is 3 points less than the sum of the two denominations taken out by B, so the sum of the money taken out is at most _ _ _ _ _ _ _ _.

5. It takes 40 minutes for Party A to walk a section and 30 minutes for Party B to walk the same section. Starting from the same place, A walked for 5 minutes first, then B began to catch up, and it took B _ _ _ _ _ minutes to catch up with A. ..

6. A reservoir is equipped with nine water pipes, one of which is the inlet pipe and the other eight are the same outlet pipes. The water inlet pipe always fills the reservoir with water at a uniform speed. Later, someone wanted to open the outlet pipe and drain all the water in the pool. At this time, some water has been injected into the pool. If all 8 water outlet pipes are opened, it will take 3 hours to drain all the water in the pool; If you open five outlet pipes, it will take 6 hours to drain all the water in the pool; If you want to drain all the water in 4.5 hours, you need to open _ _ _ _ _ _ outlet pipes at the same time.

7. The teacher wrote several continuous natural numbers starting from 1 1 on the blackboard, and later erased one of them. The average value of the remainder is 309/ 13, so the erased natural number is _ _ _ _ _ _.

8. A cuboid is divided into several cubes with a volume equal to 1 cubic centimeter after all surfaces are painted red. If the number of cubes without red is 8, then the number of cubes with red edges is at most _ _ _ _ _ _ _.

9. It is known that A× B+3 = X, where A and B are prime numbers less than 1000 and X is odd, then the maximum value of X is _ _ _ _ _ _ _ _.

10. As shown in the figure below, cut a rectangular cloth ABCD into four pieces of equal size, namely A, B, C and D, and the length-width ratio of one piece of cloth is a: B = 3: 2, then the length-width ratio of D piece of cloth is _ _ _ _ _ _ _ _ _.

1 1. A, B and C go to see the same movie. If they buy three movie tickets with the money brought by Party A, they are still short of 39 yuan. If you buy three movie tickets with the money brought by B, you are still short of 50 yuan; If you buy three movie tickets with the money brought by Party A, Party B and Party C, you can get more from 26 yuan. It is known that Party C brings money from 25 yuan. How much is a movie ticket?

12. Cut a piece of iron wire for the first time, and the ratio of the length cut for the second time to the length cut for the first time is 9:20, leaving 7 meters. How many meters is this wire?

Reference answer:

1、75 2、22, 14, 12 3、26 4、 17 5、 15 6、6

7、30 8、40 9、 1997 10、6: 1 1 1、30 12、36