Olympiad questions with answers, Olympiad questions and answers

How many do you want? Let's go to the Olympiad to see it!

How many hours does it take for a steamer to travel from port A to port B for 5 hours, and the distance between the two ports is 0:05? 95 hours.

Let's take a look at a topic.

Xiao Ming and his sister have the same speed, but when they are 10 meters apart, they each walk 300 meters, and the time used is 300 divided by 50 equals 6 minutes, and the speed of the puppy is 200 meters per minute, and the distance traveled is 200 times 6 equals 1200 meters.

In order to sell the rest of the goods as soon as possible, the store decided to discount the list price**, so that the total profit obtained was 82% of the original expected profit. Q: How much is the discount?

1) If only 70% of the goods are sold by pricing the desired 50% of the profits, the profit obtained is 35%, and the profit of 30% of the goods is 15%.

2) In order to sell the remaining goods as soon as possible, the store decided to discount the fixed price**, so that the total profit obtained is 82% of the original expected profit: the profit obtained is 41%.

3) It can be seen that the remaining goods are 30%, and the profit obtained is 41%-35%=6% of the original expected profit.

5) Eightfold off.

The equation is the same as above.

In this way, arithmetic arrived at place B 2 hours earlier than originally planned.

If you continue to travel for these 2 hours, you will have more trips (40+10) 2=100 km 100 10=10 hours, and you can travel 100 km more in 10 hours, which is the planned trip for 10 hours.

40 10 = 400 km.

Set the original plan to arrive in x hours.

40x=50（x-2）

The solution is x=10 and the two places are 400 kilometers apart.

The equation is there.

The arithmetic actually worked: 40 2 10 = 8 hours.

The distance between A and B: (40+10) 8=400 km.

The reason why rubber bands can be retracted after elongation is due to the intermolecular forces of rubber.

Due to the action of intermolecular forces, the rubber molecules are arranged in a zigzag procession. If you pull the rubber band hard, then due to the external force, the rubber molecules will lose their original arrangement, and the lined up team will be neat and tidy, and the appearance will be elongated. However, after the cancellation of external forces, these rubber molecules still exist due to the intermolecular force, and the gear will produce a force that returns to its original state, which is the elasticity of Li Zheng rubber.

This is a mathematical sophistry problem, and it is interesting to get the quantitative relationship wrong, so that the result is wrong. You can do the following:

10-1）x 3+3=30

or 25 + 1x 3 + 2 = 30 There will be no problem that 1 yuan cannot be found.

This question has been asked by many friends.

This calculation process is just messing up.

Think about it, 27+2=29, what does this formula mean?

In fact, this formula is meaningless, each person actually takes out 9 yuan, a total: 9 3 = 27 yuan.

Of the 27 yuan, the boss collected 25 yuan, and the waiter hid 2 yuan.

25+2=27 is exact.

Why do you need to use 27+2=29?

Yes, the problem is indeed confusing thinking, you see, 25 yuan of rent + 2 yuan of the waiter + 1 yuan x 3 = 3 yuan for each person left, which is exactly 30 yuan.

There is no 30 thing here, the boss took 25, the guy hid 2, the three spent 27, 25 + 2 = 27, there is nothing wrong!

Just push it back upside down.

20 2 = 10 (mm).

10 2 = 5 (mm).

16-2=14 (days).

Backwards problem.

20÷2÷2=5（mm） 16-2=14

A: It took 14 days.

On day 15, it was 10 mm; On day 14, it was 5 mm.