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E14. Two-block calendar

A calendar consists of two cubes of the same size, about 2 inches on a side. Each cube contains a single digit. When placed together, the front faces of the two cubes display the day of the month, from 01 to 31. Note that single digit days must be displayed as two digits, with a leading 0. Describe what digits to place on each face of the cubes for this to work.

Cambridge Math Learning, Inc start up

I've been away from the blog for a while now, doing lots of things necessary to get Cambridge Math Learning ready. We hope to begin teaching classes within 4 months. In designing lesson plans, I've been putting together a list of interesting yet fairly simple math problems suitable for warm up exercises, to be done in groups of 3 or 4 people. One of the problems in my list is the two-block calendar problem, given next.