2 out of 3
Where should you start, if you want to finish back where you started?
2 out of 3
Play around with the Fibonacci sequence and discover some surprising results!
2 out of 3
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
2 out of 3
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
3 out of 3
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
3 out of 3
A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?
3 out of 3
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
3 out of 3
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
3 out of 3
Imagine starting with one yellow cube and covering it all over with a single layer of red cubes, and then covering that cube with a layer of blue cubes. How many red and blue cubes would you need?
3 out of 3
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.
