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
[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?
6 days 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?
2 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.)
4 weeks 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?
1 month ago | [YT] | 1
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Cornerstones of Math
[Ellipse Rotation Quiz]
Consider an ellipse x²/a² + y²/b² = 1 (a,b＞0) on xy-plane. X is the solid of revolution obtained by revolving this ellipse around x-axis. Y is the solid of revolution obtained by revolving this ellipse around y-axis. What can be said about the comparison between two solids X and Y? Are they always the same? Or are they generally different?
2 months ago | [YT] | 2
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Cornerstones of Math
Who do you think benefited the most by the invention of LOGARITHMS?
(aside from mathematicians)
2 months ago | [YT] | 1
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