Exploring and noticing
- 
 - 
problemLitov's mean value theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
 - 
problemUp and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
 - 
problemSpeeding 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.
 - 
problemHow far does it move?
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.
 - 
problemTwo clocks
These clocks have only one hand, but can you work out what time they are showing from the information?
 - 
 - 
problemLittle man
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
 - 
 - 
problemTriangle in a triangle
Can you work out the fraction of the original triangle that is covered by the inner triangle?