There are all sorts of tricks to make calculating easier. Or so they claim. These tasks introduce some of these tricks, from the familiar casting out of nines to the ways the Elizabethans and Russians used to do long multiplication. Evaluating these techniques may not only provide useful tricks of the trade, but also lots of fun as the patterns embedded in our mathematical world show themselves to be very useful.

Divisibility Rules, OK?

Finger It Out

Make Mine Nine

Casting Out Nines

Multiplying Elizabethan

Multiplying Russian

Mental Snips

Piano trick

Percentages and Legitimacy

A challenge:

Divisibility Rules 7, too, OK?

Division: the canine method

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!