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Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

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Fence It

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

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How Far Does it Move?

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.

Paper Weight

Stage: 3 Short Challenge Level: Challenge Level:1
\begin{eqnarray} \text{Weight of 1 sheet of paper} &=& \text{Weight of letter with 2 sheets} - \text{Weight of letter with 1 sheet} \\ &=& 20 \; \text{g}- 15 \; \text{g} \\ &=& 5 \; \text{g} \end{eqnarray}

This problem is taken from the UKMT Mathematical Challenges.