Copyright © University of Cambridge. All rights reserved.

'Regional Division' printed from

Show menu

The diagram shows two rectangles which enclose five regions.

two rectangles at an angle, one contains the numbers 4,2,5 the other 1,2,3

What is the largest number of regions which can be enclosed by any two rectangles drawn on a sheet of paper?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
View the archive of all weekly problems grouped by curriculum topic

View the previous week's solution
View the current weekly problem