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Topic for a math paper competiton

score 62 · Answer 1 · 2026-04-14 14:34:11

62

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Topic for a math paper competiton

Published on 14 Apr 2026 - 14:34

score 253 · Answer 2 · 2026-04-12 09:54:18

253

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IMO 2000 Problem - Help with Angle Chasing

Published on 12 Apr 2026 - 9:54

score 44 · Answer 3 · 2026-04-17 01:27:16

44

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$f(n) = \mathcal{O}(g(n))$ then $\prod_{i=1}^n f(i) = \mathcal{O} \left( \prod_{j=1}^n g(j) \right)$?

Published on 17 Apr 2026 - 1:27

score 269 · Answer 4 · 2026-04-15 17:21:48

269

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What is integer part of $\sum_{j=2}^{100}\frac{1}{\sqrt{j}}$?

Published on 15 Apr 2026 - 17:21

score 43 · Answer 5 · 2026-04-16 04:50:58

43

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$g(n)=\omega (1)$ then for every $k∈\mathbb{N} $ implies $g(n^{k+1}))-g(n^k)= \Theta(g(n^{k+1}))$?

Published on 16 Apr 2026 - 4:50

score 151 · Answer 6 · 2026-05-10 14:18:16

151

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An inequality with condition

Published on 10 May 2026 - 14:18

score 181 · Answer 7 · 2026-04-17 15:03:41

181

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how to find A tight bound to this function $\sum_{i=1}^n \sum_{j=1}^{n-i+1} j^2-1$?

Published on 17 Apr 2026 - 15:03

score 528 · Answer 8 · 2026-04-15 16:21:06

Angle bisectors of isosceles trapezoid $\square ABCD$ meet at $P$. If $|AP|=3$ and $\angle APD=120^\circ$, what is the area of the trapezoid?

score 278 · Answer 9 · 2026-04-13 23:02:39

278

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9-10th grade olympiad problem

Published on 13 Apr 2026 - 23:02

score 280 · Answer 10 · 2026-04-16 12:49:56

280

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number of ways to distribute $60$ indistinguishable chocolates and $60$ indistinguishable toffees among $100$ different people

Published on 16 Apr 2026 - 12:49

score 1.6k · Answer 11 · 2026-04-14 05:50:04

1.6k

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Maximum number of circles tangent to two concentric circles

Published on 14 Apr 2026 - 5:50

score 63 · Answer 12 · 2026-04-17 05:38:39

63

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Find this function range $f(x)=\sqrt{2+\cos{x}+\sqrt{3}\sin{x}}+2\sqrt{2+\cos{x}-\sqrt{3}\sin{x}}$

Published on 17 Apr 2026 - 5:38

score 165 · Answer 13 · 2026-04-10 18:19:46

165

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An interesting inequality

Published on 10 Apr 2026 - 18:19

score 129 · Answer 14 · 2026-04-11 23:05:17

129

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Inequality for amateurs

Published on 11 Apr 2026 - 23:05

score 686 · Answer 15 · 2026-05-10 16:12:16

686

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British Maths Olympiad (BMO) 2006 Round 1 Question 5, alternate solution possible?

Published on 10 May 2026 - 16:12

List Question

Topic for a math paper competiton

IMO 2000 Problem - Help with Angle Chasing

$f(n) = \mathcal{O}(g(n))$ then $\prod_{i=1}^n f(i) = \mathcal{O} \left( \prod_{j=1}^n g(j) \right)$?

What is integer part of $\sum_{j=2}^{100}\frac{1}{\sqrt{j}}$?

$g(n)=\omega (1)$ then for every $k∈\mathbb{N} $ implies $g(n^{k+1}))-g(n^k)= \Theta(g(n^{k+1}))$?

An inequality with condition

how to find A tight bound to this function $\sum_{i=1}^n \sum_{j=1}^{n-i+1} j^2-1$?

Angle bisectors of isosceles trapezoid $\square ABCD$ meet at $P$. If $|AP|=3$ and $\angle APD=120^\circ$, what is the area of the trapezoid?

9-10th grade olympiad problem

number of ways to distribute $60$ indistinguishable chocolates and $60$ indistinguishable toffees among $100$ different people

Maximum number of circles tangent to two concentric circles

Find this function range $f(x)=\sqrt{2+\cos{x}+\sqrt{3}\sin{x}}+2\sqrt{2+\cos{x}-\sqrt{3}\sin{x}}$

An interesting inequality

Inequality for amateurs

British Maths Olympiad (BMO) 2006 Round 1 Question 5, alternate solution possible?

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