Geometrical Quickies & Trickies may be the right place to broaden and deepen your visualization skills in solving geometry trick and tricky questions, commonly set in mathematics contests and competitions.
Geometrical Quickies & Trickies would appeal primarily to these audiences:
- mathletes preparing for local and regional contests and competitions;
- grades 6-9 students and teachers looking for some fertile trick and tricky geometry questions;
- problem solvers longing to be challenged by geometry questions not normally discussed in the normal mathematics classroom.
Geometrical Quickies & Trickies is suitable for grades 6-9 problem solvers and mathletes, and for teachers and tutors who desire to challenge (or torture) their students mathematically. It contains over 200 non-routine geometry questions that may be used to separate the nerd of mathletes from the herd of drill-and-kill specialists.
Contents
- Three Famous (or Notorious) Geometrical Problems
- What is a Circle?
- Non-Euclidean Geometry for Goondus
- That Holy Little Geometry Book
- How Many Regions?
- Fun with Areas and Perimeters
- The Malfatti’s Problem
- Always a Parallelogram!
- The Beauty of Pi
- The Golden Ratio by Paper Folding
- The Zero Option
- The Ubiquity of Phi
- The Rolling Circle Question
- Matchstick Mathematics
- Two Useful Circle Properties
- Sanguku—Japanese Temple Geometry
- Proving the Obvious
- Applications of Pythagorean Theorem
- Geometrical Idiosyncrasies
- Visualizing Infinity
- Answers/Hints/Solutions
- Bibliography & References
