Math

A geometry textbook has the following problem: “A right triangle has a hypotenuse equal to 10 and an altitude to the hypotenuse equal to 6. What is the area of the triangle?” Can you figure out the correct answer? Blog post (text/image explanation): http://wp.me/p6aMk-4t8 Special thanks to the following patrons! Kyle Alberto Nishikawa Brian M.

Thanks to James for the suggestion! If a hen and a half lay an egg and a half in a day and a half how many eggs would one hen lay in one day? #math #maths #mathematics #shorts Sources https://www.mathsisfun.com/puzzles/one-and-a-half-hens-solution.html https://en.wikipedia.org/wiki/Conversion_of_units Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I

Featuring Matt Parker… Part 2 (solution) here: https://youtu.be/pasyRUj7UwM More links & stuff in full description below ↓↓↓ Discuss this video on Brady’s subreddit: https://redd.it/6628q2 We appreciate any help on Patreon – it lets us make a few more and better videos: http://www.patreon.com/numberphile Matt Parker on Numberphile playlist: http://bit.ly/Matt_Videos Matt’s channel: http://bit.ly/StandUpMaths Parker Square T-Shirt: http://bit.ly/ParkerSquareTshirt

Which point minimizes the sum to 4 given points on a rectangle? Thanks to Chanul for suggesting this problem, which is adapted from a Sri Lankan Olympiad question. Special thanks this month to: Michael Anvari, Kyle. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions References Geometric median https://en.wikipedia.org/wiki/Geometric_median Plastria, Frank. (2006). Four-point Fermat location problems revisited.

The legendary Don Knuth on the Dragon Curve and learning from his mistakes. More links & stuff in full description below ↓↓↓ Reddit discussion: http://redd.it/2qt0f4 More Dragon Curve: http://bit.ly/DragonList Don Knuth’s book “Selected Papers on Fun and Games” has an excellent chapter going into this in more detail. Buy in US: http://amzn.to/149fBnL Buy in UK:

The Massachusetts Institute of Technology (MIT) is one of the top ranked universities in the world. A neat little algebra question appeared on its admissions exam 150 years ago, and this video presents a solution. How To Solve An MIT Admissions Question, Geometry 1869 MIT Test Question in 1869, The Order Of Operations Sources MIT

This video features Dr Hannah Fry (more links below) ↓↓↓ Check out Brilliant.org: https://brilliant.org/numberphile (20% off premium subscription) That circle cutting problem on Brilliant: https://brilliant.org/NumberphileSandwich Hannah Fry on Twitter: https://twitter.com/FryRsquared Read about Hannah’s Xmas book (and buy a copy to show her some support!): http://www.bradyharanblog.com/blog/hannahs-book More Hannah videos on Numberphile: http://bit.ly/hannah_vids Animation by Pete McPartlan

This question appeared on the October 1980 SAT exam. Like all questions, it was supposed to have exactly one correct answer. However the test-makers made a mistake. Can you figure out what they did wrong? Blog post (text explanation): http://wp.me/p6aMk-4vX Source Fiske, Edward B. “A Second Student Wins Challenge on Answer To Math Exam Problem.”

Probability expert Professor Persi Diaconis (Stanford University) talking about dice. More links & stuff in full description below ↓↓↓ Part 2: https://youtu.be/8UUPlImm0dM Tadashi and Dice: https://youtu.be/zzKGnuvX6IQ More dice videos: http://bit.ly/Dice_Videos More Persi Diaconi videos: http://bit.ly/Persi_Videos Diaconis/Keller paper on fair dice: http://bit.ly/FairDicePaper Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets:

Dr James Grime and a handy trick for checking calculations. Ditch the nines… More links & stuff in full description below ↓↓↓ Some extra footage from this interview: https://youtu.be/wQsQ8joretY Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone

Thanks to Moaaz for the suggestion! Can you solve this challenging geometry problem? 0:00 Problem 0:55 Solution 1 3:09 Solution 2 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for

The game starts with 6 empty glasses in a row numbered 1 to 6. You roll a standard die. If the number for the glass is empty, then the glass is filled up. If the number for the glass is full, then you drink that glass. There is a special rule when 5 glasses are

Get your first audiobook free with an Audible 30-day trial. Go to http://www.audible.com/numberphile or text numberphile to 500 500. More links & stuff in full description below ↓↓↓ This video features Edmund Harriss from University of Arkansas. Extra footage from this interview: https://youtu.be/7ehaadVtaMI Heesch’s Tiling Problem by Casey Mann: http://faculty.washington.edu/cemann/Heesch.pdf Check out the Numberphile Podcast:

If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: http://mindyourdecisions.com/blog/ Twitter: http://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: http://preshtalwalkar.tumblr.com/

A number of galactic proportions… See more #MegaFavNumbers on this playlist – https://bit.ly/MegaFavNumbers – and read below to contribute your own. More links & stuff in full description below ↓↓↓ See our full collection of video on the sum of three cubes at: http://bit.ly/SumOfCubes (*) the cube (which we depicted quite loosely and artistically, of

Can you solve this tricky question? #maths #math #mathematics #shorts Hardest GCSE maths questions list (Edexcel June 2018 Higher Paper 1 – Question 6) Top 10 Hardest GCSE Maths Questions in 2024 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!

Thanks to Pedro in Argentina for suggesting this! The problem is adapted from the TESBA test. It’s a fun one! Sources https://en.wikipedia.org/wiki/Argentina#/media/File:Flag_of_Argentina.svg https://en.wikipedia.org/wiki/Argentina#/media/File:Argentina_orthographic.svg http://www-news.uchicago.edu/releases/98/980417.calderon.shtml Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can’t always reply! Why are some comments before the video is published? Get early access and

James Grime on the Hadwiger–Nelson problem. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) Extra footage from this interview: https://youtu.be/7nBtRKvUox4 The Four Color Map Theorem: https://youtu.be/NgbK43jB4rQ More on James Grime (you can book him for talks): http://singingbanana.com More James Grime videos: http://bit.ly/grimevideos The de Grey paper: https://arxiv.org/abs/1804.02385 A good write up on

You can solve this in seconds with logic. #math #maths #mathematics #shorts References https://thecollegepanda.com/12-tricky-sat-math-questions/ https://brainly.com/question/13082487 https://artofproblemsolving.com/wiki/index.php/2003_AMC_10B_Problems/Problem_15 Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As

Continuing on from Zvezda’s previous video about Ptolemey’s Theorem (see: https://youtu.be/bJOuzqu3MUQ) now we use it to prove some cool stuff with pentagons and equilateral triangles. More links & stuff in full description below ↓↓↓ Zvezda’s Numberphile playlist: http://bit.ly/zvezda_videos Zvezda’s webpage: https://math.berkeley.edu/~stankova/ Golden Ratio: https://youtu.be/sj8Sg8qnjOg Epic Circles: https://youtu.be/sG_6nlMZ8f4 Triangle Magic Highway: https://youtu.be/wVH4MS6v23U Numberphile is supported by

The Braess Paradox is an unexpected result from network theory. It states that adding capacity could actually slow down the speed of the network. Applied to highways, the Braess Paradox means the existence of some roads slows down traffic, or that closing some roads could speed up traffic. The Braess Paradox can also explain the

Did you know some math problems were used to discriminate against groups of people? This is one such problem, and it stumped me! But it has an unbelievably elegant solution. Take any equilateral triangle and pick a random point inside the triangle. Draw from each vertex a line to the random point. Two of the

Rotating cedar balls. Here’s a playlist of Tadashi Tokieda videos: http://bit.ly/tadashi_vids More links & stuff in full description below ↓↓↓ Electric slide rule: https://youtu.be/MEyIppEOQTw Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady

I bought a cow for $800. I sold it for $1000. I bought it again for $1100. I sold it again for $1300. How much did I earn? This seemingly simple problem has sparked plenty of discussion online, and top search results are even showing the wrong answer. It’s time to present the correct answer.

Thanks to Kieran in New Zealand for suggesting this problem! A version of this problem was given to students in Taiwan. Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address in video). I consider all ideas though can’t always reply! Like many YouTubers I use popular software to prepare my videos. You can search for animation

Which method were you taught? #shorts #math #maths #mathematics Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying

Explains this trick: http://youtu.be/pdqkrqHDF7g If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: http://mindyourdecisions.com/blog/ Twitter: http://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts

I would not have solved this one. Credit to the genius who figured out the trick. #math #maths #mathematics #shorts [Calculus – Integration] Need help with this integral byu/W1ck3d_J0k3r_17391 inHomeworkHelp Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you

This is a fun one from a UK maths competition. UKMT 2008 SMC solutions https://archive.ukmt.org.uk/pdfs/archive/SMC2008_sol_short.pdf Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1 Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an

Thanks to Patrick from Germany for suggesting this problem! Students were supposed to solve it in less than 1 minute with no calculator. Special thanks this month to: Nida Davis, Richard Ohnemus, Shrihari Puranik, Kyle, Michael Anvari . Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions References 2018 Raytheon MATHCOUNTS National Competition (link includes timestamp around