Sunday, June 4, 2017

May 21, 2017 - Math Circle 2.0

Multiplication review

Use graph paper to solve:

3 x 2 = 
5 x 1 =
8 x 4 =
9 x 6 =

7 x y = 21
solve for y

Number Sequences

Predict the next number in the triangle number sequence and the square number sequence.


Logic Problem One

You are at a picnic and there is a cooler full of juice.  There are five apple juices, three grape juices, and three fruit punches.  You really want an apple juice.  Without looking at package of juice, what is the smallest number of juice packages that you need to take out of the cooler in order to make sure you get one apple juice.  What is the smallest number if you really wanted fruit punch?

Logic Problem Two

From Raymond Smullyan's To Mock a Mockingbird

Suppose I offer one of three prizes: Prize A, Prize B, and Prize C.  Prize A is the best prize.  Prize B is an ok prize, and Prize C is the worst prize.  If you say a true statement to me, for example, 2+2 = 4, I will give you prize A or B.  If you say a false statement, I will give you Prize C.  You really want Prize A.  What could you say to me to force me to give you Prize A, the best prize.