List questions from recreational-mathematics

Published on 13 Apr 2026 - 16:02

247

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Is there a way to simplify $a\sqrt{1-a^2} + \arcsin(a) = \pi/4$?

Published on 12 Apr 2026 - 12:45

121

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prove that the number of students in the school is at most k

Published on 15 Apr 2026 - 14:14

107

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Direct Calculation of the Singular Homology of the Real Line

Published on 08 Apr 2026 - 3:08

84

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Three 3's challenge extended.

Published on 15 Apr 2026 - 13:52

152

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Tile homotopy and T-tetromino packing of rectangles

Published on 09 Apr 2026 - 13:55

168

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Finding $\Bbb{R}\to \Bbb{R}$ functions satisfying $f(x + y) = f(x) + f(y)$ and $f(xy) = f(x) f(y)$

Published on 24 Apr 2026 - 11:16

36

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Can I always split a friendly partition into two subpartitions, one of which is composed solely of 1, 2, 3, 4, and the largest part?

Published on 12 Apr 2026 - 15:16

61

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Homeomorphism and partitions

Published on 11 Apr 2026 - 12:11

43

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Number of Possible Ways to Distribute Apples

Published on 16 Apr 2026 - 16:05

71

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find all good numbers between 500 and 528

Published on 14 Apr 2026 - 21:01

258

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Riddle: finite set that contains one of the three numbers

Published on 15 Apr 2026 - 6:58

409

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Are there any other fraction-to-decimal conversions like $\frac{5}{2} = 2.5$?

Published on 13 Apr 2026 - 10:26

527

Views

Does every positive, decreasing, real sequence whose series converges have a corresponding convex sequence greater than it whose series converges?

Published on 28 Apr 2026 - 17:42

59

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Basic formal systems

Published on 15 Apr 2026 - 10:57

List Question

How should I go about proving this identity?

Is there a way to simplify $a\sqrt{1-a^2} + \arcsin(a) = \pi/4$?

prove that the number of students in the school is at most k

Direct Calculation of the Singular Homology of the Real Line

Three 3's challenge extended.

Tile homotopy and T-tetromino packing of rectangles

Finding $\Bbb{R}\to \Bbb{R}$ functions satisfying $f(x + y) = f(x) + f(y)$ and $f(xy) = f(x) f(y)$

Can I always split a friendly partition into two subpartitions, one of which is composed solely of 1, 2, 3, 4, and the largest part?

Homeomorphism and partitions

Number of Possible Ways to Distribute Apples

find all good numbers between 500 and 528

Riddle: finite set that contains one of the three numbers

Are there any other fraction-to-decimal conversions like $\frac{5}{2} = 2.5$?

Does every positive, decreasing, real sequence whose series converges have a corresponding convex sequence greater than it whose series converges?

Basic formal systems

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