Cornerstones of Math
Features quality math problems to strengthen your math fundamentals and problem-solving ability.
Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc.
Hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.
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Cornerstones of Math
[Math and Mindset] How much do you agree with the following statement?
----- The Statement -----
"Mathematics is a subject that teaches us to live our lives the right way, without wasting them seeking for easy ways. Even at school level, if you study math, you'll realize that you cannot solve problems without properly understanding the essence of what you learn. It is nearly impossible to solve problems using only shortcuts and tricks, and even if you do solve them, you will eventually fail in the long run due to your lack of fundamentals. The same goes for our lives - if you look for success without any honest effort and through only shortcuts and tricks, you will inevitably fail and live an unhappy life. If you want to live a happy life, you must learn that there's no such thing as 'great reward with little effort' - that there's no other way than to choose and walk the right path honestly. And we can learn that mindset by studying mathematics."
5 days ago | [YT] | 0
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Cornerstones of Math
[A survey on problem difficulty and upload frequency]
If I increase the difficulty of the problems of my videos, the upload interval will increase accordingly. If I shorten the upload interval, the difficulty of the problems has to decrease. What do you want?
4 weeks ago | [YT] | 1
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Cornerstones of Math
[Sum of Positive Divisors Quiz]
I know it's already a month into year 2026, but still:
Given that the prime factorization of 2026 is 2 × 1013 (both 2 and 1013 are prime numbers), what is the sum of all positive divisors of 2026?
4 weeks ago | [YT] | 1
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Cornerstones of Math
What is the very first GEOMETRY topic taught in your country's HIGH SCHOOL math curriculum?
4 weeks ago | [YT] | 1
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Cornerstones of Math
[Racing Car Quiz]
Two racing cars, A and B, are racing in the same direction on a circuit. The speeds of A and B are a km/min and b km/min, respectively, and the length of the circuit is c km. If
3a - 3b = 2c,
which of the following statements is true?
(An apostrophe (') means "minutes," and a, b, c are all positive.)
1 month ago | [YT] | 0
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Cornerstones of Math
[Quiz] Does 3m² = n² + 1 have integer solutions?
1 month ago | [YT] | 5
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Cornerstones of Math
Thank you for 2000 subscribers! I hope 2026 to be a wonderful year for you all!
1 month ago | [YT] | 2
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Cornerstones of Math
In your country's HIGH SCHOOL math curriculum, which topic do you learn first?
As for my case of South Korea, set theory when I was HS student, but nowadays it's polynomial algebra.
1 month ago | [YT] | 0
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Cornerstones of Math
When it comes to math videos, what makes you click on them?
1 month ago | [YT] | 0
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Cornerstones of Math
[Hyperbola Rotation Quiz]
Probably much easier than my previous ellipse rotation quiz. Consider a hyperbola x²/a² － y²/b² = 1 (a,b＞0) on xy-plane. X is the surface of revolution obtained by revolving this hyperbola around x-axis, and Y is the surface of revolution obtained by revolving this hyperbola around y-axis. Are two surfaces X and Y the same? Or are they generally different?
3 months ago | [YT] | 1
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