Verbalising mathematical thinking is a skill which will serve you very well as you move to advanced mathematics in your senior years. This is another set of puzzles with answers that are challenging to explain. You will use them to further polish your ability to express your thinking in your own language.
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Bibliography: A list of the books which have served to inspire tasks within the EUMY Mathematics set.
Acknowledgements. The author would like to acknowledge the invaluable assistance of her mathematical models who appear throughout these tasks:
Epsilon-pi and Smidgin Ubiquitous 
We call them Epsi and Smidge!