Challenge 462: Dividing Lines
How many regions can you create with these dividing lines?
(a) If I draw 6 straight lines on a piece of paper, what is the greatest number of regions I can create? (Assume a line always goes from one edge of the paper to another.)
(b) If I draw 4 triangles on a piece of paper, what is the greatest number of regions I can create?
Submit your solution
Please do send in your solution to this problem to weeklymaths@kcl.ac.uk You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide feedback on your solution, assuming that you are in year 11 or below. If you are older than this, we hope you enjoy trying the problems and reviewing your solutions against those we publish on the website.
![King's Maths School [logo]](/image-library/logos/kcl-ms-logo.jpg)