List questions from contest-math

Published on 11 Apr 2026 - 16:48

57

Views

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

Published on 15 Apr 2026 - 8:57

175

Views

Find the area of quadrilateral in triangle

Published on 15 Apr 2026 - 15:52

382

Views

Counting through generating functions

Published on 10 May 2026 - 16:07

442

Views

Limit of recursive sequence with floor

Published on 12 Apr 2026 - 1:10

726

Views

Two Touching Ellipses - Tangents, Centres and Collinearity

Published on 14 Apr 2026 - 10:55

274

Views

On a 2017 putnam solution to a problem.

Published on 13 Apr 2026 - 0:08

492

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 17 Apr 2026 - 10:29

201

Views

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

Published on 14 Apr 2026 - 3:43

154

Views

Titan inequality for amateur

Published on 16 Apr 2026 - 13:13

306

Views

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

Published on 16 Apr 2026 - 19:43

171

Views

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

Published on 10 May 2026 - 14:49

73

Views

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

Published on 10 May 2026 - 21:55

206

Views

To compute the sum using 2011 th roots of unity

Published on 12 Apr 2026 - 16:47

180

Views

Is this number an integer?

Published on 10 May 2026 - 21:57

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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