Math 201 Prof. Brick
section 2 Fall 02
Math Elem Ed Exam 2
Do the problems in order in your bluebook. Show all your work. Guessing
followed by checking is not worth any points.
1. Show that 1.761761 is rational by expressing it as an appropriate fraction.
2. Solve |3−x|= 5.
3. For what values of the digit a, is the number 75234a7141924 divisible by three ?
4. Using the Euclidean algorithm, find the g.c.d of 684 and 1944
5. If you allow modulo 12, then is it possible to have a·b= 0 with a6= 0 and b6= 0 ?
6. In a cost cutting measure, MicroEvil laid off 1/5 of its employees. If 3616 employees
are left, then how many were there before the layoff ?
7. Explain how you can quickly determine, using mental mathematics, a fifteen percent
tip. Do not use an example.
8. Due to an accounting error, Professor Lew Zer recently had his salary lowered by 10%.
The department chair agreed to make it up to him by giving him a 10% raise. How should
Lew feel about this solution ?
9. Explain how you can use mental mathematics to decide whether or not 42 5
11 divided
by 6 1
11 is greater than or less than 7 ?
10. What model would you use to explain to a hungry student how to compare 1
5with 1
8?
