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Puzzles and Humour

I like mathematical puzzles (and mathematical humour).

They provide intellectual challenges and mental stimulation. They also help the puzzler to learn and develop good problem-solving techniques. These techniques can sometimes be used when solving strategy problems in real life and can certainly be used in other mathematical pursuits. I have hundreds, and possibly thousands, of puzzles to share with you. This represents a small start!

I have decided to bundle them in groups of twenty:

CCM Puzzle Collection #001 ~ Puzzles 001-020

  • Three Switches and a Light
  • A Knockout Tennis Competition
  • Covering a Modified Chessboard With Dominoes
  • Completing a Tour of Towns
  • Packing Eight Numerals Into Eight Squares
  • Counting the Number of Pathways to a Given Place
  • A Matter of Symmetry
  • Which Shape is MOST Different?
  • Riding a Falling Ladder
  • Divide an Obtuse-Angled Triangle into Seven Acute-Angled Triangles
  • Divide a Square into Ten Acute-Angled Triangles


From the beginning of my schooling I had struggled with Mathematics. Highly discouraged by my results, I grew to eventually hate Maths and lost all motivation to improve. Then part way through year seven my parents decided to send me to Crystal Clear Mathematics. Graeme was able to quickly identify areas I needed to improve and explain Maths in a way that finally made sense to me. I was able to understand Maths. This in turn then affected my confidence in my own ability.

Since working with Graeme I have gone from failing to significantly improved results. I now get As & Bs both in examinations and for assignment tasks. Graeme is patient, kind and his tutoring is individualised. He was so helpful and I am grateful for his help.

Tessa M (student, 2014-2017)

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