Prof. S. Brick Math for Elem Ed I; Final Math 201
Summer ’04 section 501
Print your name:
Show all of your work. Explain your reasoning. NO CALCULATORS.
1. Your class has a balance scale to weigh objects. The scale has two pans, one for the
objects to be weighed, the other to place pre-measured weights on. The pre-measured
weights consist of a single 1-gram weight, a single 2-gram weight, a single 4-gram weight,
a single 8-gram weight, and a single 16-gram weight. What are all the possible weights
of possible objects that the scale can accurately measure using this collection of weights ?
What numeration system does this activity explore ? Explain your reasoning.
2. A survey of 120 students shows that 90 love math, 65 love history, yet 5 do not love
either of the two subjects (I know, it’s hard to imagine). Draw and use a Venn diagram
to determine how many love both math and history. Show and explain all of your steps.
