Related Collections
You may also like
Doodles
Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?
Russian Cubes
I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?
Picture Story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
Age 14 to 16
Challenge Level
A classical Greek problem was to find a way to trisect an angle using just a ruler and a pair of compasses. However, this is impossible.
It is possible though, to trisect an angle using a carpenter's square, as demonstrated in the video below.
Can you explain why this works?
Can you extend the idea to trisect an obtuse angle?
Copyright © 1997 - 2023. University of Cambridge.
All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.