List questions from contest-math

Published on 13 Mar 2018 - 9:47

54

Views

How many solutions of $a+b\sin t= t^n$ on $(0,+\infty)$

Published on 14 Mar 2018 - 2:36

172

Views

Find the area of quadrilateral in triangle

Published on 14 Mar 2018 - 23:26

379

Views

Counting through generating functions

Published on 25 Mar 2026 - 11:08

439

Views

Limit of recursive sequence with floor

Published on 16 Mar 2018 - 17:48

724

Views

Two Touching Ellipses - Tangents, Centres and Collinearity

Published on 25 Mar 2026 - 7:42

271

Views

On a 2017 putnam solution to a problem.

Published on 17 Mar 2018 - 21:05

489

Views

Show that there exist $k\in\{1,2,\cdots,n\}$ such that $\frac{1}{n}\sum_{i=1}^{n}\left(\{kx_{i}\}-\frac{1}{2}\right)^2>\frac{1}{12}-\frac{1}{6n}$

Published on 18 Mar 2018 - 13:05

199

Views

Probability that both people flip their first tails on the same round?

Published on 18 Mar 2018 - 15:09

151

Views

Titan inequality for amateur

Published on 20 Mar 2018 - 13:12

303

Views

Arranging numbers from $1$ to $n^2$ in a $n\times n$ board

Published on 20 Mar 2018 - 16:35

168

Views

Given the function $f(x)=\frac {1}{\sqrt[3] {1-x^3}}$ find $\underbrace {f(f(\cdots f(19)\cdots))}_{95}$

Published on 24 Mar 2026 - 23:56

70

Views

GCD of two numbers $4a^2 + 3,4ab-1$

Published on 25 Mar 2026 - 12:53

203

Views

To compute the sum using 2011 th roots of unity

Published on 21 Mar 2018 - 20:13

177

Views

Is this number an integer?

Published on 25 Mar 2026 - 9:45

List Question

Determine remainder when N is divided by 1000?

How many solutions of $a+b\sin t= t^n$ on $(0,+\infty)$

Find the area of quadrilateral in triangle

Counting through generating functions

Limit of recursive sequence with floor

Two Touching Ellipses - Tangents, Centres and Collinearity

On a 2017 putnam solution to a problem.

Show that there exist $k\in\{1,2,\cdots,n\}$ such that $\frac{1}{n}\sum_{i=1}^{n}\left(\{kx_{i}\}-\frac{1}{2}\right)^2>\frac{1}{12}-\frac{1}{6n}$

Probability that both people flip their first tails on the same round?

Titan inequality for amateur

Arranging numbers from $1$ to $n^2$ in a $n\times n$ board

Given the function $f(x)=\frac {1}{\sqrt[3] {1-x^3}}$ find $\underbrace {f(f(\cdots f(19)\cdots))}_{95}$

GCD of two numbers $4a^2 + 3,4ab-1$

To compute the sum using 2011 th roots of unity

Is this number an integer?

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