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IMSO 2004 Mathematics – Taiwan Second Round – Exploration Question 4

IMSO Maths · IMSO 2004 Mathematics – Taiwan Second Round – Exploration

Question 4

Two squares put on top of each other can make 9 regions (see figure).

(a) How many regions at most can be constructed from 3 squares?

(b) Using 4 squares, construct as many regions as possible with the grid transparent paper, scissors and glue. Put the result in the envelope.

(c) How many regions at most can be constructed from 4 squares?

Question illustration

The practical construction in (b) remains an activity. The worked example is a model to guide or check your own construction.