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A Mathematician's Holiday

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A Mathematician's Holiday
Journey with the Mathemagicians as they encounter a number of problems on their travels and use mathematics to find solutions.
The series of short videos is suitable for secondary school teachers, introducing various maths principles to students in an engaging way.

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Mathematical Institute

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Displaying 1 - 9 of 9 episodes
Episode Description People Date Captions
Medicine muddle - Encoding and Binary Given four bottles with indistinguishable liquid, one of which is a vital medicine, two containers and a test that can be done only once, how can you determine which of the the bottles contain the medicine? Thomas Woolley, William Binzi 24 October, 2014
Dim Sum - Coding efficiency In a restaurant where you can order tasting plates of 10 items, what is the smallest number of plates you can order to identify all 10 items on a menu? Thomas Woolley, William Binzi 24 October, 2014
Fix the Hotel Rooms - Topology By drawing on a piece of paper, can you connect three houses to three utilities (gas, electricity, water) without any of the lines crossing? Thomas Woolley, William Binzi 24 October, 2014
The Tiny Lift - Graphs How can you get three people to the upper floor of the hotel if two of them can never be left alone? Thomas Woolley, William Binzi 24 October, 2014
Hotel fire - Optimisation What is the quickest route to get from where you are standing, collect some water from a river and get to the hotel? Thomas Woolley, William Binzi 24 October, 2014
Bags mix-up- Logic and Decision Trees Three bags contain 2 t-shirts or 2 hoodies or 1 hoodie and 1 t-shirt, and none are labelled correctly. Can you tell which back belongs to whom by only taking one (random) item from one bag? Thomas Woolley, William Binzi 24 October, 2014
Late for the plane - Abstraction and Optimisation What is the quickest route between two points, if you can only cross the runways at a perpendicular? Thomas Woolley, William Binzi 24 October, 2014
Airport security - Trilinear Coordinates How do we measure out 100ml of a liquid using only containers taking quantities of 75ml, 125ml and 200ml? Thomas Woolley, William Binzi 24 October, 2014
Planning the tour - Abstraction and Graph Theory How do you construct a tour travelling between a number of different cities, but never using the same transport method between two cities more than once? Thomas Woolley, William Binzi 24 October, 2014
Displaying 1 - 9 of 9 episodes

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