Copyright © University of Cambridge. All rights reserved.

The three regular hexagons are all the same size. X, Y and Z denote the values of the shaded areas in the hexagons as shown.

Which of these areas are equal to each other?

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*