
Source: wenxuecity.com
The above is a math question for a Chinese elementary school. See if you can solve it. Characters in the first row are aliens and the second row non-aliens. Pick up the alien from the third row.

Source: wenxuecity.com
The above is a math question for a Chinese elementary school. See if you can solve it. Characters in the first row are aliens and the second row non-aliens. Pick up the alien from the third row.

Source: 九九乘法口訣表
On the other day, someone asked this question: “How to teach times tables to students?” on linkedin “Math, Math Education, Math Culture” group. A few answers the song option. What it means is that children remember the multiplication table as a song (or poem) before school age. They don’t even know what it means, but they can speak out answers right away. Unfortunately, this option is not available for English speakers.

The figure above shows a rocket taking off vertically. When the rocket reaches a height of 12 kilometers, the angles of elevation from points A and B on level ground are 84.1o and 62.7o, respectively. What is the distance between points A and B?

I found this discussion on reddit “How to avoid careless mathematical errors?“:
Hi //math.
I am a high school student who happens to be VERY good at math, but who consistently fails to get As on tests due to careless errors. Most of the time, they come from forgetting a 0 after a decimal place, multiplying instead of dividing, putting a decimal point in the wrong place, or just factoring wrong. I actually had to drop a Precalc Honors class because I got Ds on tests from the sheer number of stupid mistakes I made, despite understanding the material very well.
I assume that this occurs because I work quickly, but if I work slowly, I run out of time on the test. Additionally, my handwriting is horrible, but there’s really nothing I can do about that. And even when I check my answers after finishing, I still miss my mistakes.
I know that this issue is going kill my college GPA, so I want to fix it as soon as I possibly can. What do you guys do to avoid stupid mistakes?
I read through the comments and found some really good ones:

Given the area of a (blue) regular hexagon to be 2009. Find the area of the (red) hexagon. Here each green line segment connects one vertex to the mid-point of the adjacent side in clockwise direction. The red small hexagon is formed by those six green line segments. Here is a hint:
I’ve seen this question before. A Ph.D. student Wu Baojun (吴宝俊) of Chinese Academy of Science claimed that no one in his office could solve the problem. This time, it is brought up to media during the 2011 NPC & CPPCC sessions. So, let me translate it to English:

Source: Matrix67
The following is said to be a question in the entry exam of an elementary school in Beijing.
Given nine integers 1 through 9, we can groups them as follows:
1, 3, 5, 7, 9
2, 4, 6, 8