List questions from recreational-mathematics

Published on 28 Mar 2023 - 13:56

144

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Bagging a random sample with duplicate

Published on 28 Mar 2026 - 13:22

19

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Rewriting the Sum of indexes i and j across the ordered real numbers x(1), x(1) ... x(n) with a modulus consideration

Published on 20 Mar 2026 - 23:43

265

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Curious for other elegant methods for solving $x+\sqrt{x+\frac12+\sqrt{x+\frac14}}=4$

Published on 06 Apr 2026 - 2:53

182

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If $(3+\sqrt{8})^{2023} = a + b\sqrt{8}$ where $a$ and $b$ are integers, then $a$ is the product of two numbers which differ by 2.

Published on 10 Apr 2026 - 1:33

428

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Longest path on a grid

Published on 03 Apr 2023 - 20:37

153

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Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

Published on 26 Mar 2026 - 4:14

105

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Minimizing $|XA|^3 + |XB|^3 + |XC|^3$ for a triangle $\triangle ABC.$

Published on 07 Apr 2026 - 21:11

133

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You dig a hole in Minecraft straight down $n$ blocks, how many blocks must you dig to get out?

Published on 05 Apr 2023 - 21:16

51

Views

A 2-variable function positive in exactly one quadrant

Published on 10 Apr 2026 - 11:56

78

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Equilibrium in a tug-of-war game: What's the error in my solution?

Published on 03 Apr 2026 - 19:32

130

Views

Russian(?) Post Office Problem

Published on 01 Apr 2026 - 9:51

41

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Eulerian trail (or Eulerian path)

Published on 26 Mar 2026 - 6:19

116

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On the rigour of a proof.

Published on 01 Apr 2026 - 18:55

112

Views

Can this solution be generalised from $\ N=4\ $ to $\ N=2^r\ $?

Published on 31 Mar 2026 - 14:13

List Question

Word and number ladder puzzles

Bagging a random sample with duplicate

Rewriting the Sum of indexes i and j across the ordered real numbers x(1), x(1) ... x(n) with a modulus consideration

Curious for other elegant methods for solving $x+\sqrt{x+\frac12+\sqrt{x+\frac14}}=4$

If $(3+\sqrt{8})^{2023} = a + b\sqrt{8}$ where $a$ and $b$ are integers, then $a$ is the product of two numbers which differ by 2.

Longest path on a grid

Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

Minimizing $|XA|^3 + |XB|^3 + |XC|^3$ for a triangle $\triangle ABC.$

You dig a hole in Minecraft straight down $n$ blocks, how many blocks must you dig to get out?

A 2-variable function positive in exactly one quadrant

Equilibrium in a tug-of-war game: What's the error in my solution?

Russian(?) Post Office Problem

Eulerian trail (or Eulerian path)

On the rigour of a proof.

Can this solution be generalised from $\ N=4\ $ to $\ N=2^r\ $?

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