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Elementary school fourth-grade interesting math questions and answers

2026-10-08 11:43
2026-10-08 16:12

The following are some of the answers to some of the interesting math questions in the fourth grade: ** 1. Number Combination ** 1. [Question: How to make the number 8 equal to 1000?] - ** Answer **: 8 + 8+8+88 + 888 = 1000. - ** Explanation **: By adding different combinations of the number 8, a number close to 1000 can be obtained. For example, 888 is close to 1000, and adding other combinations of the number 8 to get 1000. 2. [Question: Use three 3s to form the largest number?] - [Answer: 3 to the power of 33] - ** Explanation **: 3 to the power of 33 is much larger than 333, because the exponential operation will make the number grow very fast. When the base is 3 and the index is 33, this number is the largest number that can be formed by three 3s. 3. [Question: What is the largest number that can be formed by 1, 2, and 3?] - ** Answer **: 3 to the power of 21. - [Description: If it is formed according to the convention, 321 is not the largest.] Because of the nature of exponential calculation, 3 to the power of 21 was much larger than other combinations. ** 2. Points and Number of People ** 1. [Question: 100 steamed buns, 100 people eating, 1 adult eating 3, 3 children eating 1, how many adults and how many children can finish it?] - [Answer: 25 adults and 75 children.] - ** Explanation **: Suppose there are x adults and y children. You can get the equation set of (the total number of people is 100) and <3x+(the total number of buns is 100). Transform the first equation to {y = 100 - x}, substitute it into the second equation {3x+{frac{1}{3}(100 - x)=100}, and solve {x = 25}, then {y = 75}. 2. ** Question **: There are 63 notes in total for 2 yuan and 5 yuan each, totaling 171 yuan. How many notes are there for each of the two kinds of yuan? - ** Answer **: 48 for 2 RMB and 15 for 5 RMB. - ** Explanation **: Suppose there are x pieces for 2 RMB and y pieces for 5 RMB. The equations are x + y=63 and 2x +5y =171. From the first equation, we get x = 63 - y, and substitute it into the second equation, which is x = 48. ** 3. Itinerary and Time ** 1. ** Title **: A well is seven meters deep. A snail climbs up from the bottom of the well. It climbs three meters during the day and falls two meters at night. Ask a snail how many days it takes to climb out of a well? - [Answer: 5 days.] - ** Explanation **: The snail actually climbs 3 - 2 = 1 m every day. However, on the last day, after climbing out of the well during the day, they would not fall anymore. Therefore, in the first few days, they had climbed a total of 7 - 3 = 4 meters, which required 4 days. Including the last day, it was a total of 5 days. 2. [Question: If the clock shows that it is 18 o'clock sharp, what time will it be after the minute hand has rotated 1991 times?] - ** Answer **: The minute hand rotating once is 1 hour, 1991/12 = 165…11 (12-hour cycle), 18+11 - 24 = 5 points. - ** Explanation **: First, look at how many 12-hour cycles 1991 contains. The remainder is the extra hours added, plus the initial 18 points. If it exceeds 24 points, then subtract 24 to get the final time. ** 4. Trading Profits ** 1. [Title: Someone bought a toy for 19 yuan and sold it for 20 yuan.] He felt that it was not worth it, so he bought it for 21 yuan and sold it for 22 yuan. How much did it earn? - ** Answer **: 2 yuan. - ** Explanation **: The first transaction earned "(20 - 19 = 1") yuan, the second transaction earned "(22 - 21 = 1") yuan, the total earned "(1+1 = 2") yuan. ** 5. Logic-related reasoning ** 1. [Question: Xiao Qiang's math score was only 6 points away from passing, and so was Xiao Ming's. However, Xiao Ming's and Xiao Qiang's scores were different. Why?] - [Answer: 54 points and 0 points.] - ** Explanation **: If the full score is 60 points, 54 points will be 6 points away from passing, and 0 points will also be 6 points away from passing. The requirement is that the two people are 6 points away from passing but have different scores. 2. [Question: There are three empty rooms. One room has three lights, and the other room has three switches. Each switch can only turn on one light. If you can only enter each room once, how do you know which switch controls which light?] - Answer: Enter a room with a switch, turn on one switch, turn it off after 5 minutes, turn on the other switch, and then enter a room with a light. The light that was on was controlled by the switch that was turned on the second time. He touched the other two lights that were not on. The one that was hot was controlled by the switch that was turned on the first time, and the remaining one was controlled by the switch that had not been turned on. - ** Explanation **: Use the characteristics of the light bulb to judge whether the switch that is turned on will make the light on or heat up. Use different operations to distinguish the lights controlled by different switches. 3. [Title: Two chess friends played a total of nine games in a day. They won the same number of times without a draw. What's going on?] - [Answer: Not all nine games were played by the two of them.] - [Description: If the two of them played all nine games, the number of times they won would not be the same without a draw. Therefore, there must be a situation where they played against someone else.] Read more exciting novels for free

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