How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
The graph shows how the weight of a letter (including the envelope) varies with the number of sheets of paper used.
What is the weight of a single 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.