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Geometrical Quickies & Trickies Ebook

Geometrical Quickies & Trickies
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Ebook cover: Geometrical Quickies & Trickies

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Title: Geometrical Quickies & Trickies
Description:

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
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