Skip over navigation
Right Angled Octagon
Age 11 to 14
ShortChallenge Level 
A quadrilateral can have four right angles. What is the largest number of right angles an octagon (8 sides) can have?
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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
You may also like
Arclets Explained
This article gives an wonderful insight into students working on the Arclets problem that first appeared in the Sept 2002 edition of the NRICH website.
Bow Tie
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.