Regarding the imperial examination, Li Mengxi had thought before setting the questions that there were few people in Julu now, so there was no need to select talents too strictly. But Li Mengxi thought more deeply, after all, the imperial examination is a new thing, and there must be acceptance problems for new things.

If some simple questions that are equivalent to the difficulty of kindergarten are randomly asked, if the scholars do it, they will inevitably despise the imperial examination and regard the imperial examination as a joke.

Once the scholars lost their solemnity and reverence for the imperial examination from the beginning and regarded it as a farce, the imperial examination system would get off to a bad start.

As the saying goes, a good start is half the success. Similarly, a bad start requires countless remedies to offset the negative impact.

After Li Mengxi considered this, he decided that since there was a test to select talents, he would make the questions high-quality and difficult. It was necessary to make the scholars scratch their heads and frown. Otherwise, if it was not difficult for them to vomit blood, how could he wait for it?

Awe and respect for Ke Li's three points?

Based on this consideration, Li Mengxi could have randomly asked some questions, but in the end he chose to follow the high standards of real talent selection.

After one volume of "Classics" is published, the next volume is "Numerology", which is another volume worth two hundred points.

Li Mengxi recalled the various test question formats in the mathematics examination. He decided to divide the math paper into two parts: algebra and geometry, and finally combine algebra and geometry to solve some complex application problems.

In order to combine it with reality, Li Mengxi asked Guan Yu to first come up with some questions based on the nine chapters of arithmetic, and then use them as a reference before coming up with additional test questions.

Guan Yu pressed the paper, took it, and started writing. After a while, he had written dozens of questions from the Nine Chapters of Arithmetic.

Li Mengxi took the question over and looked at it. He scanned it and frowned.

Guan Yu asked, "What's the problem? It's not enough."

Li Mengxi shook his head slightly and glanced at Guan Yu, "Well, General Guan, the question can't be asked like this.

Examinations are for selecting talents. It is necessary to distinguish between high and low talents and to distinguish between high and low talents. Therefore, the questions should be both difficult and easy. If the questions are extremely difficult, both those who are proficient in mathematics and those who are not good at mathematics will be unable to answer the questions.

They are all the same, so how can we differentiate between superior ones and inferior ones?

Therefore, we must pay attention to the difficulty and ease, and the gradient of high and low."

The words were meant for Guan Yu, but at the same time, Li Mengxi also reminded himself of the criteria for setting questions.

The point of asking questions is not just that they are difficult. If you want to stump the scholars and make them unable to answer any of the difficult questions, there is actually a way. It is not difficult to find questions that are difficult enough. But in this way, it is difficult to solve the problem.

No one can solve the problem. Does this mean that there is no one available among the hundreds of scholars? Obviously this is not the case.

Those who can solve top-notch problems are top talents, and of course they can be used; but at the same time, people who cannot solve top-notch problems and can solve less difficult problems, this class of people, although their abilities are slightly weaker, are slightly weaker.

Talents are talents, and they are also talents.

Talents are bound to become scarcer toward the top of the pyramid.

Therefore, only by making good use of both excellent and mediocre talents can the role of talents be fully utilized.

After figuring it out, Li Mengxi used the questions asked by Guan Yu as a reference and began to write test questions.

In the math paper, the list still lists the place of birth, name and location first, and then, in the first part, Li Mengxi's questions are about the four basic operations of addition, subtraction, multiplication and division, which are pure calculation questions.

Starting from the simplest, one plus one, to more than ten plus ten, to the complex addition and subtraction of ten thousand places, the difficulty increases.

The last few difficult questions on the four arithmetic operations are the mixed operations of addition, subtraction, multiplication and division.

When listing the four arithmetic expressions, Li Mengxi felt embarrassed again. In later generations of mathematics, when mixing addition, subtraction, multiplication and division, they would use various convenient symbols such as parentheses, brackets, braces, etc. However, the Han Dynasty people mixed

What symbols will they use when doing calculations?

Li Mengxi asked Guan Yu, how should he write if he added, subtracted, multiplied and divided all at once?

Guan Yu looked at what Li Mengxi had written and said, "Wouldn't it be better if you wrote them separately?"

Oh, Li Mengxi understood it clearly. Mixed operations, according to the writing method of the Han Dynasty, must be recorded separately for addition, subtraction, multiplication and division. This guy can't even remember a calculation formula. No wonder the development of mathematics in ancient China was so slow, and the material foundation was locked.

Superstructure.

Without an efficient and fast writing format, how can mathematics take off?

Li Mengxi looked at the test paper. He had already written the brackets on the test paper. It would be a pity to destroy and rewrite it.

He had no choice but to tell Guan Yu the meanings represented by a few brackets and asked Guan Yu if he understood. Guan Yu understood it after listening to it once.

Then we have to explain the test questions clearly during the exam, and then let the scholars answer the questions.

Li Mengxi felt that it was extremely troublesome. You couldn't use numbers when writing the questions, you had to use words. The questions were in parentheses, and you had to explain them again later. This made Li Mengxi feel that no matter what happens in the future, the scholars must be trained in a unified way. If nothing else, basically

You have to understand the numbers and mathematical symbols, otherwise, you still have to record them in words, which is very troublesome and inefficient.

Li Mengxi has roughly 20 calculation questions. If each question is worth one point, it will be about 20 points.

After that, in the geometry part, Li Mengxi still followed the idea of ​​​​from easy to difficult. He got up and found a bamboo slip, split the bamboo slip into two bamboo pieces and used them as rulers, and then pulled out a few hairs from the brush to use as pens to draw pictures.

.

With this painting, Li Mengxi discovered a problem again. For mathematics, scales, protractors, compasses, and triangles are all necessary.

However, no.

It was very difficult for Li Mengxi to draw two broken pieces of bamboo to draw rectangles, squares and many other shapes.

Draw a square and mark one side as "one foot" and the next side as "one foot".

Then the question is, [The picture is a square, one side is one foot long, what is the geometry of the product].

This is just to find the area.

The same goes for other questions, trapezoids, right triangles, parallelograms, circles, and various basic shapes.

Then the difficulty level increases again, and rectangles with a piece missing, half circles, triangles within circles, circles within squares, triangles within squares, and various composite shapes such as circles plus squares plus triangles plus trapezoids begin to appear.

This chapter is not over yet, please click on the next page to continue reading! Li Mengxi found some incredible pleasure. The more he painted, the more energetic he became. As he continued to draw, Li Mengxi couldn't help but stop.

He suddenly raised his head and asked, "General Guan, do you know that if the diameter of a circle is one, what is its circumference?"

Without thinking, Guan Yu replied, "Three."

Li Mengxi's eyes widened and he was stunned. He turned to look at Liu Bei again, "Xuan Degong, what do you think it is?"

"Three." Liu Bei also replied.

Li Mengxi was shocked. He looked at Liu Bei in astonishment and then at Guan Yu. He opened his mouth and howled in his heart, (Wori, I understand, you don’t know the accurate pi! Indeed... accurate pi, get

Zu Chongzhi, Zu Chongzhi was... from the Southern and Northern Dynasties, hundreds of years later...)

Li Mengxi's mouth trembled. He felt that he couldn't ask questions related to circles, because the common common sense in production is that a circle is three times a week. Indeed, three is about the same as 3.14. Make a wheel or something, because the wheel itself

There is room for mortise and tenon fitting, so just make it a little longer. There is no need to strictly use pi.

Guan Yu said that pi is three, Liu Bei also said it was, and ordinary scholars would probably say it was three.

But here’s the question. If the unified answer is three, what if there is a great master among the scholars? If someone knows that pi is not three and answers a more accurate answer, should they be judged wrong?

?Obviously not. This buries talent.

After careful consideration, Li Mengxi decided that for questions involving circles, an extra one or two points would be added. Those who calculated based on pi three would be given ordinary points, and those who calculated accurately would be given extra points.

After all, given the actual background and the situation of mathematics teaching in the Han Dynasty, whether the circumference of a circle is three, three point one four, or three should be correct.

After the basic algebra and geometry questions were finished, Li Mengxi checked and found that nearly 80 questions had been asked.

After this basic part, the second part should be regarded as a type of application questions, which are based on practical problems.

According to the nine chapters of arithmetic problems given by Guan Yu, Li Mengxi slightly changed them and included practical problems such as taxation, sales, quantity, measuring acres, etc.

After finishing this part of the test, out of the 200 points on the paper, only about 30 points are left.

In the last thirty minutes, Li Mengxi made a big move.

He abandoned the reference to Chapter Nine on arithmetic, and combined the four algebraic operations of addition, subtraction, multiplication and division, and added probability, fractions, percentages, various basic calculations such as triangles, squares, circles, and trapezoids, as well as height measurement, length measurement, buying and selling, etc.

There are many problems, and a super big question arises.

After the question is asked, let Guan Yu do the calculation, let Liu Bei do the calculation, and Li Mengxi also do the calculation.

The question was really complicated. It took Li Mengxi a long time to figure out the answer to the question he asked himself.

Looking at Liu Bei and Guan Yu, their brows were furrowed, and it was far from over.

Uneasy after doing the calculation, Li Mengxi calculated it again from the beginning, and after a quick calculation, the result was different.

He scratched his head and counted again. The third time, the numbers were different again.

Count three times, three numbers.

At this time, Li Mengxi took a look at the piece of paper he was checking on. It was a large piece of paper that was already full of writing.

Li Mengxi suddenly remembered something. In terms of level, among Li's various knowledges, Li's mathematical level was probably better than that of the late Han Dynasty scholars. But even if it was better than Li's, he still had to take a step forward with a pen.

Calculation in one step. If the scholars were not given papyrus, then they would have no place to write or do calculations. Then what kind of memory and clear thinking would it take to solve the messy questions by just relying on silent calculations?

Can you figure it out clearly?

Therefore, Li Mengxi realized a big problem. The ancients were probably very accustomed to calculating silently, especially before the Han Dynasty. This was because the calculation tools were not developed, and the papermaking technology was also not developed. Even if you wanted to calculate in writing, there was no paper. Therefore, the ancients were good at pinching their fingers.

Do the math.

The problem lies here, the test should be able to distinguish between high and low talents, but the silent calculation is too difficult anyway.

Calculating only one item silently raises the threshold for mathematics too high, and this is not in line with the need to distinguish talents that the examination pursues.

Therefore, Li Mengxi felt that during exams, especially when taking math and arithmetic subjects, one must be given out straw paper. One sheet is not enough, so two sheets must be given out for background.

After the two-hundred-point calculation question was completed, Li Mengxi checked the test paper and breathed a sigh of relief.
To be continued...