Hightlight of the week
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2024/10/14 New official mock test from AOPS
2024/10/01 New problem set made by high quality contests created by wikjay, ijco, and megahertz13
2024/09/24 You can now do AMC mock tests with high quality contests created by AOPS community
2024/09/23 Video tutorial parent guide how to use the website
2024/09/23 We added 500 new questions to Math Trainer, you can practice all questions from the famouse CEMC (Waterloo, Canada) Math Contest
2024/09/14 New Math Trainer, you can practice your quest and your own practice problems
2024/09/05 New Berkeley Math tournament contests now available
2024/09/01 Start doing online contest and boost your contest rating. Congrats Yin Lam (1743), Emerio Diaziii (1682), John (1682),
Problem of the day
Let \(\mathcal{T}\) be the isosceles triangle with side lengths \(5, 5, 6\). Arpit and Katherine simultaneously choose points \(A\) and \(K\) within this triangle, and compute \(d(A, K)\), the squared distance between the two points. Suppose that Arpit chooses a random point \(A\) within \(\mathcal{T}\). Katherine plays the (possibly randomized) strategy which, given Arpit's strategy, minimizes the expected value of \(d(A, K)\). Compute this value.
Latest update
- 2024/08/28 Checkout new AMC 10 Counting Mock test 1
- 2024/08/18 Checkout Competify test 3 contest for grade 9-12
- 2024/08/18 Congratulations to BoredApe, Justin Kchao for a successfully Competify contest Test 2 (leaderboard)
- 2024/08/13 Checkout 100 new questions in AMC 8 Number Theory
- Take the brand new AMC 8 algebra test and earn reward
- Earn your reward by doing quest video tutorial.
- New challenge for 5-8 grade Competify challenge Set 2!!!.
- Trending lessions where top students are practicing.
- August 2024: Try our new AMC 10 courses version 2.
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