Speeding Up, Slowing Down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
Invent a scoring system for a 'guess the weight' competition.
If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
When two closely matched teams play each other, what is the most likely result?
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
It would be nice to have a strategy for disentangling any tangled ropes...
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
Which of these games would you play to give yourself the best possible chance of winning a prize?