New posts in Contest Math

Bounds on $S = \frac{1}{1001} + \frac{1}{1002}+ \frac{1}{1003}+\dots+\frac{1}{3001}$

All real numbers $(p,q)$ such that $|\sqrt{1-x^{2}}-p x-q| \leq \frac{\sqrt{2}-1}{2}$ holds for every $x \in[0,1]$

If $m$ and $n$ are reversed numbers (like $123$ and $321$) and $m * n = 1446921630$ , find $(m+n)$.

Suppose $f(x)-f(y)=h(g(x)-g(y))$, then $h$ is linear?

Partition 100 people, 4 from each country into 4 groups with conditions

How to prove that the points $E, F, G$ are collinear

Probability problem from CMU contest prep course

Easy way to see that $(x^2 + 5x + 4)(x^2 + 5x + 6) - 48 = (x^2 + 5x + 12)(x^2 + 5x - 2)$?

Finding the number of real zeros for the equation $11^x + 13^x + 17^x-19^x=0 $

Indian National Olympiad $2000$ Problem $6$