If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Pick a square within a multiplication square and add the numbers on each diagonal. What do you notice?
A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
Things are roughened up and friction is now added to the approximate simple pendulum
