Geometrical Quickies & Trickies

Are you bored or unchallenged by drill-and-kill geometry questions in your textbooks and workbooks? Are you half-prepared for your coming math contests and competitions? Some benefits of Geometrical Quickies & Trickies are:

Over 200 nonroutine geometry questions to separate the nerd of mathletes from the herd of drill-and-kill specialists;

Trick and tricky questions to meet the mathematical needs and wants of students- and teachers-problem solvers;

Twenty enrichment geometry units to promote an appreciation for recreational mathematics;

Hints and solutions, and a reference list for more practice on quickies and trickies.

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.

Contents

1. What is a Circle?
   
2. Three Famous (or Notorious) Geometric Problems
   
3. Non-Euclidean Geometry for Goondus
   
4. How Many Regions?
   
5. That Holy Little Geometry Book
   
6. Fun with Areas and Perimeters
   
7. Always a Parallelogram!
   
8. The Malfatti’s Problem
   
9. The Beauty of Pi
   
10. The Zero Option
    
11. The Golden Ratio by Paper Folding
    
12. The Ubiquity of Phi
    
13. Matchstick Mathematics
    
14. The Rolling Circle Question
    
15. Two Useful Circle Properties
    
16. Proving the Obvious
    
17. Sanguku-Japanese Temple Geometry
    
18. Applications of Pythagorean Theorem
    
19. Visualizing Infinity
    
20. Geometrical Idiosyncrasies
    Answers/Hints/Solutions
    Bibliography & References