DRAFT DRAFT DRAFT brain drain!a math-y puzzleInstitute for Advanced Study/Park City Math Institute Summer 2010Secondary School Teachers Program/Lesson Study
1.If you have a rectangle on your paper……then sketch a square around it.
2.If you have a triangle on your paper……then sketch a congruent triangleapproximately three inches to the right.
3.If you do not have a triangle on yourpaper……then sketch an equilateral triangleabove the largest quadrilateral.
4.If you have exactly two triangles on yourpaper……then sketch a square using the topvertices of the two triangles as the baseof the square.
5.If you have a square on your paper……then sketch a circle in the upper right handcorner of your paper.
6.If you dont have two triangles on your paperand do not have a circle on your paper……then sketch a flower in the lower right handcorner of your paper.
7.If you have only one triangle on your paper……then sketch a thin rectangle sticking out ofthe left hand side of the triangle.
8.If you have a flower on your paper……then sketch two more flowers next toit.
9.If you have two triangles and onesquare on your paper……then sketch a smaller square ontop of the square.
10.If you have a single circle and no flowerson your paper……then sketch a smiley face in the circle.
11.If you do not have a flower and youhave an even number of squares andtriangles……then sketch a sad face in the smallersquare.
12.If you dont have any flowers on yourpaper……then sketch five flowers on the rightside of your paper, slightly above theline that was on your paper when youreceived it.
13.If you dont have a smiley face onyour paper……then dont sign your name on thebottom left corner of your paper.
14.If you have more than one flower onyour paper……then dont sketch three moreflowers.
15.If you have a circle in a corner of yourpaper and an even number of squaresand an even number of triangles……then sketch two thin rectanglescoming out of the left and right sides ofthe largest square.
16.If you dont have an even number offlowers……then sketch two stick figures on the left sideof your paper, slightly above the line that wason your paper when you received it.
17.If you dont have an odd number offlowers……then sketch three stick figures onthe left side of your paper.
18.If you have more than one stick figure……then sign your name on the bottom rightcorner of your paper.