Math problems.

Calculation questions (five points).

Zhang San raised a group of geese and a group of dogs, with a total of eighteen heads and fifty-six legs. May I ask: How many geese and dogs are there respectively?

Wang Xiaohai wrote down his answer on the test paper: Not a single one was left. The reason was that the dogs had eaten all the geese, and then the dogs started fighting with each other, leaving only the last dog, who then died of overeating!

Geometry questions (five points).

The side length of the square below is one centimeter, and the diameter of the circle is also one centimeter. Please calculate the area of ​​the intersecting part in the figure.

Wang Xiaohai dipped the eraser on the back of his pen in saliva, erased both the square and the circle, and then wrote on the test paper: I didn’t see the square and the circle, so the intersection area is zero.

Power problem (ten points).

Li Si has a deposit of 10,000 yuan in the bank with an annual interest rate of 10%. Thirty-seven years later, he is getting married and plans to withdraw all the money in the card. How much money will he have in the bank after 37 years?

Wang Xiaohai wrote on his test paper: "Not a penny left." Answer: Single for too long, swiping too much, and memory is poor. I've forgotten the password to a card I haven't touched for 37 years, or perhaps I lost it during a move. Even if I did remember it, the bank would have considered it a bad debt and split it up!

Physics questions.

General questions (five points).

A person riding a bicycle hits a pedestrian at a speed of five meters per second. The bicycle weighs 50 kilograms, the cyclist weighs 100 kilograms, and the pedestrian weighs 150 kilograms. Assuming that the pedestrian was stationary when he was hit, how much damage did the pedestrian suffer?

Wang Xiaohai answers the question: If a person weighing 100 kilograms hits a pedestrian weighing 150 kilograms, how much damage will the pedestrian suffer? Do you think everyone can fight like me? The person who gets hurt is the 100-kilogram cyclist. Because he can't beat the cyclist based on his weight class, the cyclist should be at least slightly injured. Serious injuries could lead to him being hospitalized or sent to the crematorium.

Advanced questions (five points).

A bird is flying at a speed of 50 meters per second, and a pig is flying opposite it at a speed of 2 meters per second. The bird weighs 100 grams and the pig weighs 200 kilograms. After the collision, how much physical damage will the bird and the pig suffer respectively?

Wang Xiaohai wrote on the test paper: This bird is an angry bird and has infinite lives, so it will be fine. But this pig died after being hit many times, and was then sent to the slaughterhouse to be sold. The pork belly is 15 yuan per pound, and the fat is 10 yuan.

Final question (10 points).

Xiao Ming falls in love with Xiao Mei, but Xiao Mei is a human being born seven thousand years later. The upper age limit for the two is one hundred years. If Xiao Ming wants to marry Xiao Mei before he dies, how much energy does he need to consume at least to see Xiao Mei?

This question requires calculating the speed of light and time difference, but is there special relativity in the Ghost Continent?

So Wang Xiaohai replied: Xiao Ming could not meet Xiao Mei at all, because he could not stop and his body could not bear it, so he ran for more than seven thousand years, and then he found that he could not go back, so he had to keep accelerating and ran to the end of time when the universe was destroyed.

Chemistry questions.

Question 1 (five points).

What happens when quicklime and sulfuric acid are mixed?

Wang Xiaohai replied: It’s none of my business, I have no reaction at all.

Question 2 (five points).

Ethanol is a green energy source. When used as automobile fuel, incomplete combustion can also cause pollution. Please list one of the pollutants and propose two reasonable measures to ensure complete combustion of the fuel.

Wang Xiaohai replied: It is recommended to plant more trees and there will be no pollution.

Question 3 (10 points).

After finishing an experiment in the laboratory, a teacher poured the remaining potassium carbonate solution and calcium chloride solution into the waste liquid tank. Suddenly, a white precipitate was seen forming. The students became interested in the composition of the solute in the solution after the reaction.

The students fought and argued endlessly.

(1) Hypothesis: The composition of the solute in the solution after the reaction may be as follows.

Student A hit Student B

Potassium chloride, potassium carbonate

Potassium chloride, calcium chloride

Potassium carbonate, calcium chloride

Potassium chloride, potassium carbonate, calcium chloride.

Which of the above hypotheses can be ruled out without experiments?

Wang Xiaohai answered on the test paper: Eliminate me, because I was not at the scene and could not fight, so there is no need to conduct experiments to eliminate me.