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Four-year Olympic Mathematical Problems and Answers [Five Articles]
Number one: How many jelly beans did B eat?

A, B and C each have several jelly beans. Party A took some jelly beans from Party B, which doubled his jelly beans. Then B took some jelly beans from C, which doubled his jelly beans. C took some jelly beans from A, which doubled his jelly beans. Now three people eat the same amount of jelly beans. If A starts with 5 1 jelly beans, how many jelly beans are there at the beginning of B?

Answer and analysis:

Suppose the last three people ate four servings of fudge at the same time,

Restore:

C took some of A's jelly beans, and his jelly beans doubled: C =4/2=2, A = 4+2 = 6;;

B then took some jelly beans from C, so his jelly beans doubled: B =4/2=2, C = 2+2 = 4;;

A took some of B's jelly beans, and B's jelly beans doubled: A =6/2=3, B = 2+3 = 5;

That is, Party A, Party B and Party C originally made 3 copies, 5 copies and 4 copies respectively. So, if A starts with 5 1 jelly beans, then B starts with it.

(5 1/3)*5=85 capsules.

Chapter 2: How much wine is there in the gourd?

There is a man who likes drinking very much. Every time he passes by the hotel, he wants to buy wine. This man went out with a wine gourd. When he saw a hotel, he doubled the wine in the wine bottle gourd and drank eight ounces of wine. On this day, he saw three hotels, and finished drinking in the last hotel, and the wine in the gourd was just finished. Q: How many ounces of wine are there in the wine gourd?

Answer and analysis:

Seven Liang.

Finally, I drank eight ounces of wine, and I ran out of wine, so there were eight ounces left in the end.

8÷2=4 (2) (4+8)÷2=6 (2) (6+8)÷2=7 (2)

What is the speed of cycling in Xiao Qiang?

Xiaoming walks home from school at a speed of 50 meters per minute. 12 minutes later, Xiao Qiang set off from school to chase Xiao Ming by bike. As a result, he caught up with Xiao Ming at a distance of 1000 meters from school and asked Xiao Qiang the speed of cycling.

Answer and analysis: When Xiao Qiang caught up with Xiao Ming:

(1000- 12×50)÷50=8 (points)

The speed in Xiao Qiang is 1000÷8= 125 (m/min).

How many people are there in this class?

The students in the senior class of the school went boating. They calculated that if they added another boat. There are only six people on each ship; If one boat is reduced, it happens that each boat will take nine people. How many students are there in this class?

First, add a boat, each boat takes six people, and then remove two boats, leaving 12 students, and change it to 9 students per boat, that is, each boat adds three people, just to arrange all the remaining 12 students, so now there are:

12÷3=4 (boat), class size 9×4=36 (person).

What is the correct answer?

When Ma Xiaoha did an integer subtraction problem, he regarded 1 after the decimal point as 7 and 7 after the decimal point as 1, and the result was11. What should be the correct answer?

Answer and analysis:

Analysis: Ma Xiaohu mistook 1 after the decimal point for 7, which reduced the difference by 7- 1 = 6, and regarded the tenth 7 as 1, which increased the difference by 70-1= 60. So this problem boils down to a certain number minus 6 plus 60 to get 165438+.

Solution:11-(70-10)+(7-1) = 57 A: The correct answer is 57.