Logic Worksheet - Grade 7/8, University Of Waterloo

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University of Waterloo
Centre for Education in
Faculty of Mathematics
Mathematics and Computing
Grade 7/8 Math Circles
Fall 2010
Logic
Opening Problem
Arthur’s family is baking gingerbread cookies for their annual Christmas party. They
have baked 100 cookies, but it seems that someone has eaten one. Detective D.W.
interviews each memeber of the family and gets two clues from each of them:
Arthur:
it was Pal
it wasn’t Mom
Kate:
it was Arthur
it was Dad
Pal:
it was Kate
it wasn’t Mom
Mom:
it wasn’t Pal
it was Dad
Dad:
it wasn’t Arthur
it wasn’t Pal
Each person is telling one exactly one truth and one lie. Who ate the cookie?
Logic problems are problems that can be solved using reasoning or argumentation.
Tips for solving logic puzzles:
Read and re-read the question; underline or highlight important words.
Keep in mind what it is that you are being asked to find.
Watch out for irrelevant information.
List out all of the possibilities if you can. Use a chart or draw a diagram if
appropriate.
Start to eliminate options.
Take it one step at a time

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