Sunday, February 5, 2017

February 5, 2017 - Math Circle 2.0

Warm up - City of Truth Answer... from last class

You are at an unmarked intersection ... one way is the City of Lies and another way is the City of Truth. 

Citizens of the City of Lies always lie. 

Citizens of the City of Truth always tell the truth. 

A citizen of one of those cities (you don't know which) is at the intersection. What question could you ask to them to find the way to the City of Truth?

Multiplication Problems

Anya made delicious chocolate cupcakes using a pan that had 6 spaces for cupcakes.  She made four pans.  How many cupcakes did she make?

Willa was having a huge party and made hamburgers.  She had 12 people coming over.  Each person gets one hamburger.   She went to the store to buy hamburger buns that come 8 in a package.  How many packages does she need?  How many buns will she have left over?

Max is doing a flooring project again.  He bought 28 tiles at the flooring store.  He has to tile a square area that is 6 tiles wide be 6 tiles long.  Did he buy enough tiles.  Does he need another trip to the tile store again?

Logic Puzzle - Light Bulbs - for homework

From http://brainden.com/logic-puzzles.htm

There are three switches downstairs. Each corresponds to one of the three light bulbs in the attic. You can turn the switches on and off and leave them in any position. 

How would you identify which switch corresponds to which light bulb, if you are only allowed one trip upstairs?


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