Problem
Use Polya's Four Steps to solve the following problems. (w/ solution on application of Polyas guideline for Problem Solving)
1. Susie's age this year is a multiple of 5. Next year, her age is a multiple of 7. What is her present age?
2. Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be its new area as compared to the smaller square? How about if the side of the smaller square was tripled, what will be its new area?
3. How many perfect squares are there between 1,000,000 and 9,000,000?
4. Determine the number of different triangles that can be drawn given eight noncollinear points?
5. There are 25 students asked by their literature instructor regarding with the type of literary works they prefer to read. He found out that 10 prefer to read novels, 11 prefer to read short stories, 15 prefer to read poems, 5 for both novels and short stories, 4 both short stories and poems, 7 for both novels and poems, and 3 prefer all. How many students prefer none of the given types of literary works.