List questions from contest-math

Published on 27 Mar 2026 - 13:25

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A 1968 AHSME problem with exponents

Published on 24 Mar 2026 - 23:51

56

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A Geometry Problem with multiple parallel lines, trapezoids.

Published on 30 Mar 2026 - 16:01

270

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2019 AIME I Problems/Problem 5

Published on 19 Jul 2019 - 8:04

341

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Inequality with Fibonacci numbers $ \sum \limits_{k=1}^{2n+1} (-1)^{k+1} F_k \: \text{arccot} F_k < \frac{\pi+1-\sqrt{5}}{2}$

Published on 26 Mar 2026 - 21:13

115

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How to find a prime $p$ from only knowing $x^2\bmod p$ for suitably chosen (small and few) value of $x$?

Published on 27 Mar 2026 - 0:10

366

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Comparing two close numbers

Published on 27 Mar 2026 - 1:28

1.7k

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Find all pairs $(k, n)$ of positive integers such that $k! = (2^n − 1)(2^n − 2)(2^n − 4) · · · (2^n − 2^{n−1})$

Published on 27 Mar 2026 - 4:03

159

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Two rectangles are inscribed in acute triangle; maximize the ratio of their area to the triangle's area, or show there is no maximum

Published on 25 Mar 2026 - 23:42

60

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Expansion of a Complex Product

Published on 22 Jul 2019 - 18:19

139

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Proving the quadrilaterals cyclic

Published on 23 Jul 2019 - 14:38

113

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Trouble Understanding AoPS Vol. $2$ Sequences/Series Proof

Published on 25 Jul 2019 - 1:45

91

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Showing $\left(\frac{\sum a_{i}+1}{2}\right)^{2}\geq \sum a_{i}^{2}.$

Published on 27 Mar 2026 - 8:57

1k

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Refinement of a famous inequality

Published on 26 Jul 2019 - 16:21

1.5k

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Integral $ \int_0^\infty \frac{\ln x}{(x+c)(x-1)} dx$

Published on 27 Jul 2019 - 12:25

List Question

(Olympiad Question) $f(2x) + 2f(y) = f(f(x+y))$

A 1968 AHSME problem with exponents

A Geometry Problem with multiple parallel lines, trapezoids.

2019 AIME I Problems/Problem 5

Inequality with Fibonacci numbers $ \sum \limits_{k=1}^{2n+1} (-1)^{k+1} F_k \: \text{arccot} F_k < \frac{\pi+1-\sqrt{5}}{2}$

How to find a prime $p$ from only knowing $x^2\bmod p$ for suitably chosen (small and few) value of $x$?

Comparing two close numbers

Find all pairs $(k, n)$ of positive integers such that $k! = (2^n − 1)(2^n − 2)(2^n − 4) · · · (2^n − 2^{n−1})$

Two rectangles are inscribed in acute triangle; maximize the ratio of their area to the triangle's area, or show there is no maximum

Expansion of a Complex Product

Proving the quadrilaterals cyclic

Trouble Understanding AoPS Vol. $2$ Sequences/Series Proof

Showing $\left(\frac{\sum a_{i}+1}{2}\right)^{2}\geq \sum a_{i}^{2}.$

Refinement of a famous inequality

Integral $ \int_0^\infty \frac{\ln x}{(x+c)(x-1)} dx$

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