List questions from contest-math

Published on 26 Mar 2026 - 12:32

295

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Sum of integrals probably converges to $\ln(2)$ (Seemous 2018-2019)

Published on 25 Mar 2019 - 1:59

118

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Find the smallest real number m for which there exist real numbers $a;b$ such that $|x^2+ax+b|\le m(x^2+1)$ for $x\in [-1;1]$

Published on 25 Mar 2019 - 11:37

1k

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Isogonal conjugation in quadrilaterals

Published on 25 Mar 2026 - 13:59

50

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Finding solutions in $\mathbb{Z}_{+}$

Published on 25 Mar 2026 - 21:44

156

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If $2(\sin a+\cos a)\sin b =3-\cos b$, then find $3\tan^2a+4\tan^2b$

Published on 26 Mar 2019 - 19:14

89

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Inequality in a triangle: A line segment dividing opposite side with ratio 3:1

Published on 26 Mar 2019 - 20:23

128

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Prove $L$, $M$, $N$ are collinear

Published on 27 Mar 2019 - 15:45

65

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Help in solving this geometric inequality

Published on 25 Mar 2026 - 20:41

142

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Find the angle in an isosceles triangle

Published on 26 Mar 2026 - 6:25

634

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Ring Theoretical Method of Solving a Math Olympiad Problem

Published on 28 Mar 2019 - 16:23

301

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exist infinitely many positive integers $n$ such $\omega (n)+\omega (n+1)\equiv 0\pmod 3$

Published on 29 Mar 2019 - 0:59

60

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Why is that particular kind of sequence relevant to the question not repeat

Published on 29 Mar 2019 - 10:02

95

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Functional equation: $(x+y)f(x,y)=yf(x,x+y)$

Published on 27 Mar 2026 - 3:42

317

Views

Geometry problem - areas of triangles (contest math)

Published on 30 Mar 2019 - 2:04

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chessboard 7x 7

Sum of integrals probably converges to $\ln(2)$ (Seemous 2018-2019)

Find the smallest real number m for which there exist real numbers $a;b$ such that $|x^2+ax+b|\le m(x^2+1)$ for $x\in [-1;1]$

Isogonal conjugation in quadrilaterals

Finding solutions in $\mathbb{Z}_{+}$

If $2(\sin a+\cos a)\sin b =3-\cos b$, then find $3\tan^2a+4\tan^2b$

Inequality in a triangle: A line segment dividing opposite side with ratio 3:1

Prove $L$, $M$, $N$ are collinear

Help in solving this geometric inequality

Find the angle in an isosceles triangle

Ring Theoretical Method of Solving a Math Olympiad Problem

exist infinitely many positive integers $n$ such $\omega (n)+\omega (n+1)\equiv 0\pmod 3$

Why is that particular kind of sequence relevant to the question not repeat

Functional equation: $(x+y)f(x,y)=yf(x,x+y)$

Geometry problem - areas of triangles (contest math)

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