List questions from recreational-mathematics

Published on 01 Apr 2026 - 17:42

146

Views

How do you find the equations of the lines that intersect a certain line at a $45^\circ$ given that it passes through a certain point?

Published on 27 Feb 2020 - 6:47

179

Views

What is the size of the marked area (calculate without computer)?

Published on 27 Feb 2020 - 11:17

182

Views

Suggestions for problem-solving books

Published on 27 Feb 2020 - 17:56

952

Views

A random sphere containing the center of the unit cube

Published on 28 Feb 2020 - 16:35

148

Views

Continually replace numbers in hat by absolute value of difference; what's the distribution of the final number in the hat?

Published on 29 Feb 2020 - 1:03

449

Views

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

Published on 03 Mar 2020 - 10:04

86

Views

For all possible answers of $B,$ for how many cards will $A$ be able to know the number above for sure if $m=2, n=4?$

Published on 04 Mar 2020 - 6:38

87

Views

are these two fractions a record for m, n<559?

Published on 04 Mar 2020 - 10:57

551

Views

Find the best strategy for a card game

Published on 26 Mar 2026 - 2:54

90

Views

An interesting inductive AM-GM type inequality.

Published on 05 Mar 2020 - 20:38

53

Views

Movements in a Hexagon

Published on 06 Mar 2020 - 5:21

62

Views

How are primenumbers called that are written by two primenumbers like 53=5 and 3

Published on 06 Mar 2020 - 6:42

163

Views

Prove: $\frac{a}{a^2+b^3+c^3}+\frac{b}{b^2+c^3+a^3}+\frac{c}{c^2+a^3+b^3}\leq \frac{1}{5abc}$ for $a+b+c=1$.

Published on 01 Apr 2026 - 7:20

138

Views

Is there a general way of finding the value of a continued fraction whose terms form a geometric sequence?

Published on 26 Mar 2026 - 21:27

List Question

a (g,f)-factor puzzle

How do you find the equations of the lines that intersect a certain line at a $45^\circ$ given that it passes through a certain point?

What is the size of the marked area (calculate without computer)?

Suggestions for problem-solving books

A random sphere containing the center of the unit cube

Continually replace numbers in hat by absolute value of difference; what's the distribution of the final number in the hat?

How many numbers $\le x$ can be factorized into three numbers which form the sides of a triangle?

For all possible answers of $B,$ for how many cards will $A$ be able to know the number above for sure if $m=2, n=4?$

are these two fractions a record for m, n<559?

Find the best strategy for a card game

An interesting inductive AM-GM type inequality.

Movements in a Hexagon

How are primenumbers called that are written by two primenumbers like 53=5 and 3

Prove: $\frac{a}{a^2+b^3+c^3}+\frac{b}{b^2+c^3+a^3}+\frac{c}{c^2+a^3+b^3}\leq \frac{1}{5abc}$ for $a+b+c=1$.

Is there a general way of finding the value of a continued fraction whose terms form a geometric sequence?

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